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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze239.0ms (3.2%)

Memory

11.3MiB live, 620.2MiB 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)

sample1.9s (25.5%)

Memory

-2.1MiB live, 3 210.3MiB allocated

Samples

1.5s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-log: 364.0ms (36.2% of total)

ival-mult: 190.0ms (18.9% of total)

ival-hypot: 173.0ms (17.2% of total)

ival-atan2: 86.0ms (8.6% of total)

ival-div: 71.0ms (7.1% of total)

ival-add: 60.0ms (6% of total)

ival-sub: 43.0ms (4.3% of total)

ival-true: 8.0ms (0.8% of total)

exact: 6.0ms (0.6% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain351.0ms (4.7%)

Memory

6.1MiB live, 574.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
130	-	4	(7.83678027406026e-241 1.0824421900271148e-158 1.880565122362103e-42)	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
0	-	0	-	`(log.f64 base)`
0	-	0	-	`(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
0	-	0	-	`(*.f64 re re)`
0	-	0	-	`(atan2.f64 im re)`
0	-	0	-	`im`
0	-	0	-	`(*.f64 (atan2.f64 im re) (log.f64 base))`
0	-	0	-	`(+.f64 (.f64 re re) (.f64 im im))`
0	-	0	-	`re`
0	-	0	-	`(-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)))`
0	-	0	-	`(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))`
0	-	0	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))`
0	-	0	-	`#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 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	105	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	overflow	105
↳	`(*.f64 re re)`	overflow	63
↳	`(*.f64 im im)`	overflow	61

Confusion

	Predicted +	Predicted -
+	105	21
-	0	130

Precision

1.0

Recall

0.8333333333333334

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	105	0	21
-	0	0	130

Precision?

1.0

Recall?

0.8333333333333334

Freqs

test

number	freq
0	151
1	105

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

159.0ms

512×

valid

Compiler

Compiled 270 to 58 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-mult: 27.0ms (33.9% of total)

ival-hypot: 23.0ms (28.9% of total)

ival-log: 14.0ms (17.6% of total)

ival-add: 5.0ms (6.3% of total)

ival-atan2: 5.0ms (6.3% of total)

ival-div: 3.0ms (3.8% of total)

ival-sub: 3.0ms (3.8% of total)

ival-true: 1.0ms (1.3% of total)

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

exact: 0.0ms (0% of total)

preprocess162.0ms (2.2%)

Memory

23.7MiB live, 173.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	139
1	207	121
2	627	78
3	1569	63
4	3269	63
5	6670	63
0	18	26
0	34	14
1	63	12
2	162	8
3	344	6
4	618	6
5	1493	6
6	5128	6
7	5816	6
8	6074	6
9	6092	6
10	6097	6
11	7853	6
0	8069	6

Stop Event

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

Calls

Call 1

Inputs

(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #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 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #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) (log.f64 base))

Compiler

Compiled 28 to 18 computations (35.7% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.4%	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Status

Accuracy

Program

▶

50.4%

(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #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)

simplify0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

series215.0ms (2.9%)

Memory

11.3MiB live, 285.3MiB allocated

Counts

18 → 66

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
(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)
(*.f64 im im)
#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
(/ (atan2 im re) (log base))
(* (log base) (atan2 im re))
(atan2 im re)
re
0
(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)))))
(pow im 2)
(+ (pow im 2) (pow re 2))
(pow re 2)
(* -1 (log (/ 1 re)))
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* 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)))))))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(* -1 (log (/ -1 re)))
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 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))))))))
(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)))))
(* -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)))))))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(* -1 (log (/ -1 im)))
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 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 base)
base
(pow (log base) 2)
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (log (/ 1 base)))
(pow (log (/ 1 base)) 2)
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(+ (log -1) (* -1 (log (/ -1 base))))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)

Calls

9 calls:

Time	Variable		Point	Expression
61.0ms	re	@	0	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
32.0ms	im	@	inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
27.0ms	re	@	inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
24.0ms	im	@	-inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
23.0ms	base	@	inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))

simplify266.0ms (3.5%)

Memory

2.1MiB live, 225.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	209	980
1	613	960
2	2208	950
3	6917	950
0	8342	883

Stop Event

1×	iter limit
1×	node limit

Counts

66 → 63

Calls

Call 1

Inputs
(/ (atan2 im re) (log base))
(* (log base) (atan2 im re))
(atan2 im re)
re
0
(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)))))
(pow im 2)
(+ (pow im 2) (pow re 2))
(pow re 2)
(* -1 (log (/ 1 re)))
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* 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)))))))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(* -1 (log (/ -1 re)))
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 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))))))))
(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)))))
(* -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)))))))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(* -1 (log (/ -1 im)))
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 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 base)
base
(pow (log base) 2)
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (log (/ 1 base)))
(pow (log (/ 1 base)) 2)
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(+ (log -1) (* -1 (log (/ -1 base))))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)

Outputs
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(atan2 im re)
(atan2.f64 im re)
re
0
#s(literal 0 binary64)
(log im)
(log.f64 im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) im) re) (/.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 (/.f64 #s(literal 1/2 binary64) im) re) (/.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) im) re) (/.f64 re im) (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 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) im) im) (.f64 re re) #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))
(pow im 2)
(*.f64 im im)
(+ (pow im 2) (pow re 2))
(fma.f64 re re (*.f64 im im))
(pow re 2)
(*.f64 re re)
(* -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) im) (/.f64 (/.f64 im re) 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) im) (/.f64 (/.f64 im re) 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) im) (/.f64 (/.f64 im re) 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))))
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(fma.f64 (/.f64 re re) (.f64 (/.f64 (.f64 im im) re) #s(literal 1/2 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 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) #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 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) #s(literal 1 binary64)))) re)
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(.f64 (fma.f64 (/.f64 (/.f64 im re) re) im #s(literal 1 binary64)) (.f64 re re))
(* -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 (/.f64 im re) re) im) #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 (/.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/720 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 re)
(neg.f64 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) re) re) (.f64 im im) #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 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) #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 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) #s(literal 1 binary64)))))
(log re)
(log.f64 re)
(+ (log re) (* 1/2 (/ (pow im 2) (pow re 2))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) 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) im) (/.f64 (/.f64 im re) 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))
(+ 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 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) re) re) (.f64 im im) #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.f64 im)
(+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) im) re) (/.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 (/.f64 #s(literal 1/2 binary64) im) re) (/.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 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/720 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) im) re) (/.f64 re im) (log.f64 im))))
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (.f64 re re) im) #s(literal 1 binary64)) im)
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (.f64 re re) im) #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 #s(literal 1/2 binary64) im) (/.f64 (.f64 re re) im) #s(literal 1 binary64)))) im)
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(.f64 (.f64 (fma.f64 (/.f64 (/.f64 re im) im) re #s(literal 1 binary64)) im) im)
(* -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 (/.f64 re im) im) re) #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 (/.f64 re im) im) re) #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 (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64))) #s(literal 1/720 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 (/.f64 re im) im) re) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))))))
(* -1 im)
(neg.f64 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) im) (/.f64 (.f64 re re) im) #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 #s(literal 1/2 binary64) im) (/.f64 (.f64 re re) im) #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 #s(literal 1/2 binary64) im) (/.f64 (.f64 re re) im) #s(literal 1 binary64)))))
(log base)
(log.f64 base)
base
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (log (/ 1 base)))
(log.f64 base)
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(+ (log -1) (* -1 (log (/ -1 base))))
(-.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))

rewrite291.0ms (3.9%)

Memory

-2.4MiB live, 201.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	113
0	34	74
1	120	72
2	895	69
0	9566	58

Stop Event

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

Counts

18 → 551

Calls

Call 1

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

eval168.0ms (2.2%)

Memory: 3.6MiB live, 147.7MiB allocated
Compiler: Compiled 17 202 to 2 392 computations (86.1% saved)

prune40.0ms (0.5%)

Memory

15.0MiB live, 59.9MiB allocated

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	533	19	552
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	534	19	553

Accuracy

100.0%

Counts

553 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.7%	(/.f64 (fma.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)))
	89.0%	(/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
	29.8%	(/.f64 (-.f64 (.f64 (atan2.f64 (.f64 (sqrt.f64 im) (sqrt.f64 im)) re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	20.9%	(/.f64 (-.f64 (.f64 (atan2.f64 im (.f64 (sqrt.f64 re) (sqrt.f64 re))) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	50.4%	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
	99.2%	(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	89.2%	(/.f64 (.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	89.2%	(/.f64 (.f64 (/.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re)) #s(literal 1 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	99.2%	(/.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
	99.2%	(/.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
▶	99.1%	(/.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
	99.2%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	99.3%	(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	89.1%	(.f64 (/.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	98.9%	(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	98.7%	(.f64 (.f64 (/.f64 (*.f64 (log.f64 base) (atan2.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)))
	98.8%	(.f64 (.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
▶	99.2%	(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
▶	99.5%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))

Compiler

Compiled 772 to 530 computations (31.3% saved)

simplify0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated

series191.0ms (2.5%)

Memory

-6.7MiB live, 239.5MiB allocated

Counts

38 → 82

Calls

Call 1

Inputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
(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)
(*.f64 im im)
#s(literal 0 binary64)
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 (.f64 (.f64 (log.f64 base) (atan2.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) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(pow.f64 (log.f64 base) #s(literal 6 binary64))
#s(literal 6 binary64)
(/.f64 (.f64 (/.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re)) #s(literal 1 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re)) #s(literal 1 binary64))
(/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
#s(literal 1 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
(/ (atan2 im re) (log base))
(atan2 im re)
re
(/ (atan2 im re) (pow (log base) 2))
(* (log base) (atan2 im re))
0
(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)))))
(pow im 2)
(+ (pow im 2) (pow re 2))
(pow re 2)
(* (pow (log base) 5) (atan2 im re))
(* (log base) (pow (atan2 im re) 2))
(pow (atan2 im re) 2)
(* -1 (log (/ 1 re)))
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* 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)))))))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(* -1 (log (/ -1 re)))
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 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))))))))
(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)))))
(* -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)))))))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(* -1 (log (/ -1 im)))
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 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 base)
base
(pow (log base) 2)
(pow (log base) 4)
(pow (log base) 6)
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (log (/ 1 base)))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(pow (log (/ 1 base)) 2)
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(pow (log (/ 1 base)) 4)
(* -1 (* (pow (log (/ 1 base)) 5) (atan2 im re)))
(pow (log (/ 1 base)) 6)
(* -1 (* (log (/ 1 base)) (pow (atan2 im re) 2)))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(+ (log -1) (* -1 (log (/ -1 base))))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 5) (atan2 im re))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 6)
(* (+ (log -1) (* -1 (log (/ -1 base)))) (pow (atan2 im re) 2))

Calls

9 calls:

Time	Variable		Point	Expression
37.0ms	re	@	0	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log base) (/ (atan2 im re) (pow (log base) 2))) (/ (atan2 im re) (pow (log base) 2)) (pow (log base) 2) 2 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (pow (log base) 4))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (sqrt (pow (log base) 4)) (pow (log base) 4) 4 (/ (* (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 6)) (* (* (log base) (atan2 im re)) (pow (log base) 4)) (* (log base) (atan2 im re)) (pow (log base) 6) 6 (/ (* (/ (* (pow (atan2 im re) 2) (log base)) (atan2 im re)) 1) (+ (* (log base) (log base)) (* 0 0))) (* (/ (* (pow (atan2 im re) 2) (log base)) (atan2 im re)) 1) (/ (* (pow (atan2 im re) 2) (log base)) (atan2 im re)) (* (pow (atan2 im re) 2) (log base)) (pow (atan2 im re) 2) 1 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
32.0ms	base	@	inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log base) (/ (atan2 im re) (pow (log base) 2))) (/ (atan2 im re) (pow (log base) 2)) (pow (log base) 2) 2 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (pow (log base) 4))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (sqrt (pow (log base) 4)) (pow (log base) 4) 4 (/ (* (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 6)) (* (* (log base) (atan2 im re)) (pow (log base) 4)) (* (log base) (atan2 im re)) (pow (log base) 6) 6 (/ (* (/ (* (pow (atan2 im re) 2) (log base)) (atan2 im re)) 1) (+ (* (log base) (log base)) (* 0 0))) (* (/ (* (pow (atan2 im re) 2) (log base)) (atan2 im re)) 1) (/ (* (pow (atan2 im re) 2) (log base)) (atan2 im re)) (* (pow (atan2 im re) 2) (log base)) (pow (atan2 im re) 2) 1 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
28.0ms	im	@	inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log base) (/ (atan2 im re) (pow (log base) 2))) (/ (atan2 im re) (pow (log base) 2)) (pow (log base) 2) 2 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (pow (log base) 4))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (sqrt (pow (log base) 4)) (pow (log base) 4) 4 (/ (* (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 6)) (* (* (log base) (atan2 im re)) (pow (log base) 4)) (* (log base) (atan2 im re)) (pow (log base) 6) 6 (/ (* (/ (* (pow (atan2 im re) 2) (log base)) (atan2 im re)) 1) (+ (* (log base) (log base)) (* 0 0))) (* (/ (* (pow (atan2 im re) 2) (log base)) (atan2 im re)) 1) (/ (* (pow (atan2 im re) 2) (log base)) (atan2 im re)) (* (pow (atan2 im re) 2) (log base)) (pow (atan2 im re) 2) 1 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
27.0ms	im	@	-inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log base) (/ (atan2 im re) (pow (log base) 2))) (/ (atan2 im re) (pow (log base) 2)) (pow (log base) 2) 2 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (pow (log base) 4))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (sqrt (pow (log base) 4)) (pow (log base) 4) 4 (/ (* (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 6)) (* (* (log base) (atan2 im re)) (pow (log base) 4)) (* (log base) (atan2 im re)) (pow (log base) 6) 6 (/ (* (/ (* (pow (atan2 im re) 2) (log base)) (atan2 im re)) 1) (+ (* (log base) (log base)) (* 0 0))) (* (/ (* (pow (atan2 im re) 2) (log base)) (atan2 im re)) 1) (/ (* (pow (atan2 im re) 2) (log base)) (atan2 im re)) (* (pow (atan2 im re) 2) (log base)) (pow (atan2 im re) 2) 1 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
24.0ms	re	@	-inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log base) (/ (atan2 im re) (pow (log base) 2))) (/ (atan2 im re) (pow (log base) 2)) (pow (log base) 2) 2 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (pow (log base) 4))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (sqrt (pow (log base) 4)) (pow (log base) 4) 4 (/ (* (* (log base) (atan2 im re)) (pow (log base) 4)) (pow (log base) 6)) (* (* (log base) (atan2 im re)) (pow (log base) 4)) (* (log base) (atan2 im re)) (pow (log base) 6) 6 (/ (* (/ (* (pow (atan2 im re) 2) (log base)) (atan2 im re)) 1) (+ (* (log base) (log base)) (* 0 0))) (* (/ (* (pow (atan2 im re) 2) (log base)) (atan2 im re)) 1) (/ (* (pow (atan2 im re) 2) (log base)) (atan2 im re)) (* (pow (atan2 im re) 2) (log base)) (pow (atan2 im re) 2) 1 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))

simplify229.0ms (3%)

Memory

-13.5MiB live, 263.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	230	1115
1	648	1090
2	2278	1080
3	7068	1080
0	8503	1013

Stop Event

1×	iter limit
1×	node limit

Counts

82 → 79

Calls

Call 1

Inputs
(/ (atan2 im re) (log base))
(atan2 im re)
re
(/ (atan2 im re) (pow (log base) 2))
(* (log base) (atan2 im re))
0
(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)))))
(pow im 2)
(+ (pow im 2) (pow re 2))
(pow re 2)
(* (pow (log base) 5) (atan2 im re))
(* (log base) (pow (atan2 im re) 2))
(pow (atan2 im re) 2)
(* -1 (log (/ 1 re)))
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* 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)))))))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(* -1 (log (/ -1 re)))
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 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))))))))
(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)))))
(* -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)))))))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(* -1 (log (/ -1 im)))
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 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 base)
base
(pow (log base) 2)
(pow (log base) 4)
(pow (log base) 6)
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (log (/ 1 base)))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(pow (log (/ 1 base)) 2)
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(pow (log (/ 1 base)) 4)
(* -1 (* (pow (log (/ 1 base)) 5) (atan2 im re)))
(pow (log (/ 1 base)) 6)
(* -1 (* (log (/ 1 base)) (pow (atan2 im re) 2)))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(+ (log -1) (* -1 (log (/ -1 base))))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 5) (atan2 im re))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 6)
(* (+ (log -1) (* -1 (log (/ -1 base)))) (pow (atan2 im re) 2))

Outputs
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2 im re)
(atan2.f64 im re)
re
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
0
#s(literal 0 binary64)
(log im)
(log.f64 im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re (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 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re (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) (*.f64 im im)) re) re (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 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) im) im) (.f64 re re) #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))
(pow im 2)
(*.f64 im im)
(+ (pow im 2) (pow re 2))
(fma.f64 re re (*.f64 im im))
(pow re 2)
(*.f64 re re)
(* (pow (log base) 5) (atan2 im re))
(*.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (atan2.f64 im re))
(* (log base) (pow (atan2 im re) 2))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(* -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) (.f64 re re)) im) im (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) (.f64 re re)) im) im (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) (.f64 re re)) im) im (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))))
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(fma.f64 (/.f64 re re) (.f64 (/.f64 (.f64 im im) re) #s(literal 1/2 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 #s(literal 1/2 binary64) (*.f64 re re)) im) 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 #s(literal 1/2 binary64) (*.f64 re re)) im) im #s(literal 1 binary64)))) re)
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(.f64 (fma.f64 (/.f64 (/.f64 im re) re) im #s(literal 1 binary64)) (.f64 re re))
(* -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 (/.f64 im re) re) im) #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 (/.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/720 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 re)
(neg.f64 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) re) re) (.f64 im im) #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 #s(literal 1/2 binary64) (*.f64 re re)) im) 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 #s(literal 1/2 binary64) (*.f64 re re)) im) im #s(literal 1 binary64)))))
(log re)
(log.f64 re)
(+ (log re) (* 1/2 (/ (pow im 2) (pow re 2))))
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) im) im (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) (.f64 re re)) im) im (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))
(+ 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 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) re) re) (.f64 im im) #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.f64 im)
(+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re (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 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re (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 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/720 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) (*.f64 im im)) re) re (log.f64 im))))
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (.f64 re re) im) #s(literal 1 binary64)) im)
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (.f64 re re) im) #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 #s(literal 1/2 binary64) im) (/.f64 (.f64 re re) im) #s(literal 1 binary64)))) im)
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(.f64 (.f64 (fma.f64 (/.f64 (/.f64 re im) im) re #s(literal 1 binary64)) im) im)
(* -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 (/.f64 re im) im) re) #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 (/.f64 re im) im) re) #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 (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64))) #s(literal 1/720 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 (/.f64 re im) im) re) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))))))
(* -1 im)
(neg.f64 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) im) im) (.f64 re re) #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 #s(literal 1/2 binary64) im) (/.f64 (.f64 re re) im) #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 #s(literal 1/2 binary64) im) (/.f64 (.f64 re re) im) #s(literal 1 binary64)))))
(log base)
(log.f64 base)
base
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 4)
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(pow (log base) 6)
(pow.f64 (log.f64 base) #s(literal 6 binary64))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (log (/ 1 base)))
(log.f64 base)
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(pow (log (/ 1 base)) 4)
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 4 binary64))
(* -1 (* (pow (log (/ 1 base)) 5) (atan2 im re)))
(*.f64 (neg.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 5 binary64))) (atan2.f64 im re))
(pow (log (/ 1 base)) 6)
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 6 binary64))
(* -1 (* (log (/ 1 base)) (pow (atan2 im re) 2)))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.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)))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(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)))) 5) (atan2 im re))
(*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 5 binary64)) (atan2.f64 im re))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 6)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 6 binary64))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (pow (atan2 im re) 2))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))

rewrite326.0ms (4.3%)

Memory

-17.0MiB live, 430.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	284
0	81	201
1	233	199
2	1303	181
0	9150	170

Stop Event

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

Counts

38 → 3 052

Calls

Call 1

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

eval351.0ms (4.7%)

Memory: 40.8MiB live, 644.9MiB allocated
Compiler: Compiled 57 146 to 6 385 computations (88.8% saved)

prune135.0ms (1.8%)

Memory

-3.4MiB live, 193.2MiB allocated

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	2 158	20	2 178
Fresh	13	1	14
Picked	3	2	5
Done	0	0	0
Total	2 174	23	2 197

Accuracy

100.0%

Counts

2 197 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
	99.2%	(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.3%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
	99.2%	(/.f64 (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (atan2.f64 im re)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
	99.2%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	49.8%	(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	99.2%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
▶	99.4%	(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
▶	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
	49.8%	(.f64 (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
	99.1%	(.f64 (.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓	99.2%	(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	48.4%	(.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))))
	54.7%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (log.f64 base)))
	52.8%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 (*.f64 (sqrt.f64 im) (sqrt.f64 im)) re) (log.f64 base)))
▶	45.4%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im (*.f64 (sqrt.f64 re) (sqrt.f64 re))) (log.f64 base)))
	49.9%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
▶	99.3%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
✓	99.5%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
	49.4%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base)))))
▶	25.9%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (exp.f64 (-.f64 (log.f64 (atan2.f64 im re)) (log.f64 (log.f64 base)))))

Compiler

Compiled 946 to 669 computations (29.3% saved)

simplify0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated

series814.0ms (10.8%)

Memory

-11.5MiB live, 945.2MiB allocated

Counts

29 → 37

Calls

Call 1

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

Outputs
(/ (atan2 im re) (log base))
(atan2 im re)
re
(sqrt re)
(exp (- (log (atan2 im re)) (log (log base))))
(- (log (atan2 im re)) (log (log base)))
(log (atan2 im re))
(/ (atan2 im (* -1 (* re (pow (sqrt -1) 2)))) (log base))
(atan2 im (* -1 (* re (pow (sqrt -1) 2))))
(* -1 (* re (pow (sqrt -1) 2)))
(* -1 (* (sqrt re) (pow (sqrt -1) 2)))
im
(/ 1 (log base))
(log base)
base
(/ 1 (pow (log base) 2))
(log (log base))
(pow (log base) 3)
(pow (log base) 2)
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(/ 1 (pow (log (/ 1 base)) 2))
(exp (- (log (atan2 im re)) (log (* -1 (log (/ 1 base))))))
(- (log (atan2 im re)) (log (* -1 (log (/ 1 base)))))
(log (* -1 (log (/ 1 base))))
(* -1 (pow (log (/ 1 base)) 3))
(pow (log (/ 1 base)) 2)
(/ (atan2 im re) (+ (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)))) 2))
(exp (- (log (atan2 im re)) (log (+ (log -1) (* -1 (log (/ -1 base)))))))
(- (log (atan2 im re)) (log (+ (log -1) (* -1 (log (/ -1 base))))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)

Calls

9 calls:

Time	Variable		Point	Expression
146.0ms	re	@	0	((* (atan2 im re) (pow (log base) -1)) (atan2 im re) im re (pow (log base) -1) (log base) base -1 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im (* (sqrt re) (sqrt re))) (log base)) (atan2 im (* (sqrt re) (sqrt re))) (* (sqrt re) (sqrt re)) (sqrt re) (* (* (pow (log base) -2) (log base)) (atan2 im re)) (* (pow (log base) -2) (log base)) (pow (log base) -2) -2 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (exp (- (log (atan2 im re)) (log (log base)))) (- (log (atan2 im re)) (log (log base))) (log (atan2 im re)) (log (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ (pow (log base) 3) (pow (log base) 2))) (/ (pow (log base) 3) (pow (log base) 2)) (pow (log base) 3) 3 (pow (log base) 2) 2)
144.0ms	im	@	-inf	((* (atan2 im re) (pow (log base) -1)) (atan2 im re) im re (pow (log base) -1) (log base) base -1 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im (* (sqrt re) (sqrt re))) (log base)) (atan2 im (* (sqrt re) (sqrt re))) (* (sqrt re) (sqrt re)) (sqrt re) (* (* (pow (log base) -2) (log base)) (atan2 im re)) (* (pow (log base) -2) (log base)) (pow (log base) -2) -2 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (exp (- (log (atan2 im re)) (log (log base)))) (- (log (atan2 im re)) (log (log base))) (log (atan2 im re)) (log (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ (pow (log base) 3) (pow (log base) 2))) (/ (pow (log base) 3) (pow (log base) 2)) (pow (log base) 3) 3 (pow (log base) 2) 2)
130.0ms	re	@	-inf	((* (atan2 im re) (pow (log base) -1)) (atan2 im re) im re (pow (log base) -1) (log base) base -1 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im (* (sqrt re) (sqrt re))) (log base)) (atan2 im (* (sqrt re) (sqrt re))) (* (sqrt re) (sqrt re)) (sqrt re) (* (* (pow (log base) -2) (log base)) (atan2 im re)) (* (pow (log base) -2) (log base)) (pow (log base) -2) -2 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (exp (- (log (atan2 im re)) (log (log base)))) (- (log (atan2 im re)) (log (log base))) (log (atan2 im re)) (log (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ (pow (log base) 3) (pow (log base) 2))) (/ (pow (log base) 3) (pow (log base) 2)) (pow (log base) 3) 3 (pow (log base) 2) 2)
121.0ms	re	@	inf	((* (atan2 im re) (pow (log base) -1)) (atan2 im re) im re (pow (log base) -1) (log base) base -1 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im (* (sqrt re) (sqrt re))) (log base)) (atan2 im (* (sqrt re) (sqrt re))) (* (sqrt re) (sqrt re)) (sqrt re) (* (* (pow (log base) -2) (log base)) (atan2 im re)) (* (pow (log base) -2) (log base)) (pow (log base) -2) -2 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (exp (- (log (atan2 im re)) (log (log base)))) (- (log (atan2 im re)) (log (log base))) (log (atan2 im re)) (log (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ (pow (log base) 3) (pow (log base) 2))) (/ (pow (log base) 3) (pow (log base) 2)) (pow (log base) 3) 3 (pow (log base) 2) 2)
79.0ms	im	@	0	((* (atan2 im re) (pow (log base) -1)) (atan2 im re) im re (pow (log base) -1) (log base) base -1 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im (* (sqrt re) (sqrt re))) (log base)) (atan2 im (* (sqrt re) (sqrt re))) (* (sqrt re) (sqrt re)) (sqrt re) (* (* (pow (log base) -2) (log base)) (atan2 im re)) (* (pow (log base) -2) (log base)) (pow (log base) -2) -2 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (exp (- (log (atan2 im re)) (log (log base)))) (- (log (atan2 im re)) (log (log base))) (log (atan2 im re)) (log (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ (pow (log base) 3) (pow (log base) 2))) (/ (pow (log base) 3) (pow (log base) 2)) (pow (log base) 3) 3 (pow (log base) 2) 2)

simplify199.0ms (2.6%)

Memory

22.3MiB live, 213.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	207
1	107	198
2	255	198
3	731	198
4	3316	198
0	8705	198

Stop Event

1×	iter limit
1×	node limit

Counts

37 → 34

Calls

Call 1

Inputs
(/ (atan2 im re) (log base))
(atan2 im re)
re
(sqrt re)
(exp (- (log (atan2 im re)) (log (log base))))
(- (log (atan2 im re)) (log (log base)))
(log (atan2 im re))
(/ (atan2 im (* -1 (* re (pow (sqrt -1) 2)))) (log base))
(atan2 im (* -1 (* re (pow (sqrt -1) 2))))
(* -1 (* re (pow (sqrt -1) 2)))
(* -1 (* (sqrt re) (pow (sqrt -1) 2)))
im
(/ 1 (log base))
(log base)
base
(/ 1 (pow (log base) 2))
(log (log base))
(pow (log base) 3)
(pow (log base) 2)
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(/ 1 (pow (log (/ 1 base)) 2))
(exp (- (log (atan2 im re)) (log (* -1 (log (/ 1 base))))))
(- (log (atan2 im re)) (log (* -1 (log (/ 1 base)))))
(log (* -1 (log (/ 1 base))))
(* -1 (pow (log (/ 1 base)) 3))
(pow (log (/ 1 base)) 2)
(/ (atan2 im re) (+ (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)))) 2))
(exp (- (log (atan2 im re)) (log (+ (log -1) (* -1 (log (/ -1 base)))))))
(- (log (atan2 im re)) (log (+ (log -1) (* -1 (log (/ -1 base))))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)

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

rewrite75.0ms (1%)

Memory

-3.9MiB live, 129.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	237
0	63	148
1	221	142
0	1401	142

Stop Event

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

Counts

29 → 405

Calls

Call 1

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

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

eval88.0ms (1.2%)

Memory: 7.2MiB live, 203.9MiB allocated
Compiler: Compiled 20 396 to 1 846 computations (90.9% saved)

prune30.0ms (0.4%)

Memory

-17.0MiB live, 81.4MiB allocated

Pruning

25 alts after pruning (21 fresh and 4 done)

	Pruned	Kept	Total
New	550	8	558
Fresh	3	13	16
Picked	3	2	5
Done	0	2	2
Total	556	25	581

Accuracy

100.0%

Counts

581 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
▶	99.3%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
	99.2%	(/.f64 (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (atan2.f64 im re)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
	99.2%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	49.9%	(.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (atan2.f64 im re)))
	99.2%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
	49.9%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
▶	99.4%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
▶	49.4%	(.f64 (atan2.f64 im re) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))
	99.2%	(.f64 (.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re))
	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
✓	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
	49.8%	(.f64 (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
	99.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base)) (atan2.f64 im re))
	99.1%	(.f64 (.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓	99.2%	(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	48.4%	(.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))))
	54.7%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (log.f64 base)))
▶	52.8%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 (*.f64 (sqrt.f64 im) (sqrt.f64 im)) re) (log.f64 base)))
	45.3%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im (.f64 (.f64 (sqrt.f64 (sqrt.f64 re)) (sqrt.f64 (sqrt.f64 re))) (sqrt.f64 re))) (log.f64 base)))
✓	45.4%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im (*.f64 (sqrt.f64 re) (sqrt.f64 re))) (log.f64 base)))
	49.9%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
✓	99.5%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
	99.1%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))

Compiler

Compiled 898 to 648 computations (27.8% saved)

simplify0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated

series109.0ms (1.4%)

Memory

-13.9MiB live, 270.1MiB allocated

Counts

29 → 42

Calls

Call 1

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

Outputs
(/ (atan2 im re) (log base))
(atan2 im re)
re
(* (log base) (atan2 im re))
(* (pow (log base) 5) (atan2 im re))
im
(sqrt im)
(/ (atan2 (* -1 (* im (pow (sqrt -1) 2))) re) (log base))
(atan2 (* -1 (* im (pow (sqrt -1) 2))) re)
(* -1 (* im (pow (sqrt -1) 2)))
(* -1 (* (sqrt im) (pow (sqrt -1) 2)))
(/ 1 (log base))
(log base)
base
(* -1 (log (log base)))
(log (log base))
(pow (log base) 2)
(pow (log base) 4)
(pow (log base) 5)
(pow (log base) 6)
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (* -1 (log (/ 1 base)))))
(log (* -1 (log (/ 1 base))))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 4)
(* -1 (* (pow (log (/ 1 base)) 5) (atan2 im re)))
(* -1 (pow (log (/ 1 base)) 5))
(pow (log (/ 1 base)) 6)
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(+ (log -1) (* -1 (log (/ -1 base))))
(* -1 (log (+ (log -1) (* -1 (log (/ -1 base))))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 5) (atan2 im re))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 5)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 6)

Calls

9 calls:

Time	Variable		Point	Expression
19.0ms	base	@	-inf	((* (atan2 im re) (/ 1 (log base))) (atan2 im re) im re (/ 1 (log base)) 1 (log base) base (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 (* (sqrt im) (sqrt im)) re) (log base)) (atan2 (* (sqrt im) (sqrt im)) re) (* (sqrt im) (sqrt im)) (sqrt im) (* (atan2 im re) (exp (* (log (log base)) -1))) (exp (* (log (log base)) -1)) (* (log (log base)) -1) (log (log base)) -1 (/ (* (atan2 im re) (log base)) (sqrt (pow (log base) 4))) (* (atan2 im re) (log base)) (sqrt (pow (log base) 4)) (pow (log base) 4) 4 (/ (* (pow (log base) 5) (atan2 im re)) (pow (log base) 6)) (* (pow (log base) 5) (atan2 im re)) (pow (log base) 5) 5 (pow (log base) 6) 6)
18.0ms	base	@	inf	((* (atan2 im re) (/ 1 (log base))) (atan2 im re) im re (/ 1 (log base)) 1 (log base) base (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 (* (sqrt im) (sqrt im)) re) (log base)) (atan2 (* (sqrt im) (sqrt im)) re) (* (sqrt im) (sqrt im)) (sqrt im) (* (atan2 im re) (exp (* (log (log base)) -1))) (exp (* (log (log base)) -1)) (* (log (log base)) -1) (log (log base)) -1 (/ (* (atan2 im re) (log base)) (sqrt (pow (log base) 4))) (* (atan2 im re) (log base)) (sqrt (pow (log base) 4)) (pow (log base) 4) 4 (/ (* (pow (log base) 5) (atan2 im re)) (pow (log base) 6)) (* (pow (log base) 5) (atan2 im re)) (pow (log base) 5) 5 (pow (log base) 6) 6)
18.0ms	base	@	0	((* (atan2 im re) (/ 1 (log base))) (atan2 im re) im re (/ 1 (log base)) 1 (log base) base (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 (* (sqrt im) (sqrt im)) re) (log base)) (atan2 (* (sqrt im) (sqrt im)) re) (* (sqrt im) (sqrt im)) (sqrt im) (* (atan2 im re) (exp (* (log (log base)) -1))) (exp (* (log (log base)) -1)) (* (log (log base)) -1) (log (log base)) -1 (/ (* (atan2 im re) (log base)) (sqrt (pow (log base) 4))) (* (atan2 im re) (log base)) (sqrt (pow (log base) 4)) (pow (log base) 4) 4 (/ (* (pow (log base) 5) (atan2 im re)) (pow (log base) 6)) (* (pow (log base) 5) (atan2 im re)) (pow (log base) 5) 5 (pow (log base) 6) 6)
12.0ms	im	@	-inf	((* (atan2 im re) (/ 1 (log base))) (atan2 im re) im re (/ 1 (log base)) 1 (log base) base (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 (* (sqrt im) (sqrt im)) re) (log base)) (atan2 (* (sqrt im) (sqrt im)) re) (* (sqrt im) (sqrt im)) (sqrt im) (* (atan2 im re) (exp (* (log (log base)) -1))) (exp (* (log (log base)) -1)) (* (log (log base)) -1) (log (log base)) -1 (/ (* (atan2 im re) (log base)) (sqrt (pow (log base) 4))) (* (atan2 im re) (log base)) (sqrt (pow (log base) 4)) (pow (log base) 4) 4 (/ (* (pow (log base) 5) (atan2 im re)) (pow (log base) 6)) (* (pow (log base) 5) (atan2 im re)) (pow (log base) 5) 5 (pow (log base) 6) 6)
9.0ms	im	@	0	((* (atan2 im re) (/ 1 (log base))) (atan2 im re) im re (/ 1 (log base)) 1 (log base) base (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 (* (sqrt im) (sqrt im)) re) (log base)) (atan2 (* (sqrt im) (sqrt im)) re) (* (sqrt im) (sqrt im)) (sqrt im) (* (atan2 im re) (exp (* (log (log base)) -1))) (exp (* (log (log base)) -1)) (* (log (log base)) -1) (log (log base)) -1 (/ (* (atan2 im re) (log base)) (sqrt (pow (log base) 4))) (* (atan2 im re) (log base)) (sqrt (pow (log base) 4)) (pow (log base) 4) 4 (/ (* (pow (log base) 5) (atan2 im re)) (pow (log base) 6)) (* (pow (log base) 5) (atan2 im re)) (pow (log base) 5) 5 (pow (log base) 6) 6)

simplify133.0ms (1.8%)

Memory

-8.7MiB live, 97.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	62	239
1	112	228
2	211	228
3	402	228
4	871	228
5	1806	228
6	2344	228
7	3099	228
8	3541	228
9	3620	228
10	3712	228
11	3772	228
12	3772	228
13	3772	228
0	3772	228

Stop Event

1×	iter limit
1×	saturated

Counts

42 → 39

Calls

Call 1

Inputs
(/ (atan2 im re) (log base))
(atan2 im re)
re
(* (log base) (atan2 im re))
(* (pow (log base) 5) (atan2 im re))
im
(sqrt im)
(/ (atan2 (* -1 (* im (pow (sqrt -1) 2))) re) (log base))
(atan2 (* -1 (* im (pow (sqrt -1) 2))) re)
(* -1 (* im (pow (sqrt -1) 2)))
(* -1 (* (sqrt im) (pow (sqrt -1) 2)))
(/ 1 (log base))
(log base)
base
(* -1 (log (log base)))
(log (log base))
(pow (log base) 2)
(pow (log base) 4)
(pow (log base) 5)
(pow (log base) 6)
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (* -1 (log (/ 1 base)))))
(log (* -1 (log (/ 1 base))))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 4)
(* -1 (* (pow (log (/ 1 base)) 5) (atan2 im re)))
(* -1 (pow (log (/ 1 base)) 5))
(pow (log (/ 1 base)) 6)
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(+ (log -1) (* -1 (log (/ -1 base))))
(* -1 (log (+ (log -1) (* -1 (log (/ -1 base))))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 5) (atan2 im re))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 5)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 6)

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

rewrite131.0ms (1.7%)

Memory

50.4MiB live, 325.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	166
0	64	128
1	203	117
2	1167	117
0	8739	117

Stop Event

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

Counts

29 → 1 083

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 5/2 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 5/2 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(.f64 (/.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 5/2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 5/2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 5/2 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 5/2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 5/2 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 5/2 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 5/2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 5/2 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 5/2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 5/2 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 5 binary64)))
(.f64 (pow.f64 (log.f64 base) #s(literal 5/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 5/2 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 6 binary64)))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 6 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (cosh.f64 (log.f64 (log.f64 base))) (atan2.f64 im re)) (.f64 (cosh.f64 (log.f64 (log.f64 base))) (atan2.f64 im re))) (.f64 (.f64 (sinh.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re)) (.f64 (sinh.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re)))) (-.f64 (.f64 (cosh.f64 (log.f64 (log.f64 base))) (atan2.f64 im re)) (.f64 (sinh.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))))
(/.f64 (-.f64 (.f64 (.f64 (atan2.f64 im re) (cosh.f64 (log.f64 (log.f64 base)))) (.f64 (atan2.f64 im re) (cosh.f64 (log.f64 (log.f64 base))))) (.f64 (.f64 (atan2.f64 im re) (sinh.f64 (neg.f64 (log.f64 (log.f64 base))))) (.f64 (atan2.f64 im re) (sinh.f64 (neg.f64 (log.f64 (log.f64 base))))))) (-.f64 (.f64 (atan2.f64 im re) (cosh.f64 (log.f64 (log.f64 base)))) (.f64 (atan2.f64 im re) (sinh.f64 (neg.f64 (log.f64 (log.f64 base)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 (log.f64 (log.f64 base))) (atan2.f64 im re)) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re)) #s(literal 3 binary64))) (fma.f64 (.f64 (cosh.f64 (log.f64 (log.f64 base))) (atan2.f64 im re)) (.f64 (cosh.f64 (log.f64 (log.f64 base))) (atan2.f64 im re)) (-.f64 (.f64 (.f64 (sinh.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re)) (.f64 (sinh.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))) (.f64 (.f64 (cosh.f64 (log.f64 (log.f64 base))) (atan2.f64 im re)) (.f64 (sinh.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))))))
(/.f64 (+.f64 (pow.f64 (.f64 (atan2.f64 im re) (cosh.f64 (log.f64 (log.f64 base)))) #s(literal 3 binary64)) (pow.f64 (.f64 (atan2.f64 im re) (sinh.f64 (neg.f64 (log.f64 (log.f64 base))))) #s(literal 3 binary64))) (fma.f64 (.f64 (atan2.f64 im re) (cosh.f64 (log.f64 (log.f64 base)))) (.f64 (atan2.f64 im re) (cosh.f64 (log.f64 (log.f64 base)))) (-.f64 (.f64 (.f64 (atan2.f64 im re) (sinh.f64 (neg.f64 (log.f64 (log.f64 base))))) (.f64 (atan2.f64 im re) (sinh.f64 (neg.f64 (log.f64 (log.f64 base)))))) (.f64 (.f64 (atan2.f64 im re) (cosh.f64 (log.f64 (log.f64 base)))) (.f64 (atan2.f64 im re) (sinh.f64 (neg.f64 (log.f64 (log.f64 base)))))))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (atan2.f64 im re))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (atan2.f64 im re)))) (neg.f64 (neg.f64 (neg.f64 (log.f64 base)))))
(/.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 5 binary64))))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 (/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 5 binary64)))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 5 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(fma.f64 (cosh.f64 (log.f64 (log.f64 base))) (atan2.f64 im re) (*.f64 (sinh.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re)))
(fma.f64 (atan2.f64 im re) (cosh.f64 (log.f64 (log.f64 base))) (*.f64 (atan2.f64 im re) (sinh.f64 (neg.f64 (log.f64 (log.f64 base))))))
(+.f64 (.f64 (cosh.f64 (log.f64 (log.f64 base))) (atan2.f64 im re)) (.f64 (sinh.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re)))
(+.f64 (.f64 (atan2.f64 im re) (cosh.f64 (log.f64 (log.f64 base)))) (.f64 (atan2.f64 im re) (sinh.f64 (neg.f64 (log.f64 (log.f64 base))))))
(atan2.f64 im re)
(*.f64 #s(literal 1 binary64) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (pow.f64 im #s(literal 3/2 binary64))) (pow.f64 im #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 im #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 1/4 binary64)))
(*.f64 (pow.f64 im #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 im #s(literal 3/2 binary64))))
(*.f64 (pow.f64 im #s(literal 1/4 binary64)) (pow.f64 (pow.f64 im #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 im) (sqrt.f64 im))
(pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1/2 binary64))
(pow.f64 im #s(literal 1 binary64))
(neg.f64 im)
(sqrt.f64 (*.f64 im im))
(fabs.f64 im)
(exp.f64 (/.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 im) #s(literal 1 binary64)))
(exp.f64 (log.f64 im))
(+.f64 (cosh.f64 (log.f64 im)) (sinh.f64 (log.f64 im)))
im
(*.f64 (pow.f64 re #s(literal 1/2 binary64)) (pow.f64 re #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 re))) (sqrt.f64 (neg.f64 (neg.f64 re))))
(*.f64 (sqrt.f64 (neg.f64 re)) (sqrt.f64 (neg.f64 re)))
(*.f64 (sqrt.f64 re) (sqrt.f64 re))
(pow.f64 (neg.f64 re) #s(literal 1 binary64))
(pow.f64 (*.f64 re re) #s(literal 1/2 binary64))
(pow.f64 re #s(literal 1 binary64))
(sqrt.f64 (*.f64 re re))
(fabs.f64 (neg.f64 (neg.f64 re)))
(fabs.f64 (neg.f64 re))
(fabs.f64 re)
(exp.f64 (/.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 re) #s(literal 1 binary64)))
re
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 5/2 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 5/2 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 5/2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 5/2 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 5/2 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 5/2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 5/2 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 5/2 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 5/2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 5/2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 5/2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 5/2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (sinh.f64 (neg.f64 (log.f64 (log.f64 base)))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64))) (-.f64 (sinh.f64 (neg.f64 (log.f64 (log.f64 base)))) (cosh.f64 (log.f64 (log.f64 base)))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (neg.f64 (log.f64 (log.f64 base)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (neg.f64 (log.f64 (log.f64 base)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (neg.f64 (log.f64 (log.f64 base)))) (cosh.f64 (log.f64 (log.f64 base)))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 (log.f64 (log.f64 base)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (log.f64 base))))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (log.f64 base))) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 (log.f64 (log.f64 base)))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 (log.f64 (log.f64 base)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (neg.f64 (log.f64 (log.f64 base)))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (neg.f64 (log.f64 (log.f64 base)))))))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 (log.f64 (log.f64 base))))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (log.f64 base)))))) #s(literal 4 binary64))
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(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 10 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) #s(literal 0 binary64))) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))))
(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) #s(literal 0 binary64))) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 10 binary64))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 18 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 18 binary64)) (pow.f64 (log.f64 base) #s(literal 12 binary64)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 10 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(fma.f64 (.f64 (neg.f64 (neg.f64 (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (neg.f64 (neg.f64 (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 base)))) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 base)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 (neg.f64 (log.f64 base))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 (log.f64 base))) #s(literal 3 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 (neg.f64 (log.f64 base)) #s(literal 3/2 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 (log.f64 base) #s(literal 3/2 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 3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)))
(-.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 6 binary64))))
(-.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64))
(fabs.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(exp.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64) (*.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (log.f64 base)) (log.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(exp.f64 (fma.f64 #s(literal 4 binary64) (log.f64 (log.f64 base)) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64))))
(+.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 18 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64))))) (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64))))))
(+.f64 (cosh.f64 (.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)))) (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)))))
(+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(log.f64 (pow.f64 (pow.f64 base (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
#s(literal 6 binary64)

eval217.0ms (2.9%)

Memory: -9.9MiB live, 315.7MiB allocated
Compiler: Compiled 29 651 to 3 481 computations (88.3% saved)

prune565.0ms (7.5%)

Memory

-61.9MiB live, 104.6MiB allocated

Pruning

26 alts after pruning (18 fresh and 8 done)

	Pruned	Kept	Total
New	1 288	6	1 294
Fresh	4	12	16
Picked	1	4	5
Done	0	4	4
Total	1 293	26	1 319

Accuracy

100.0%

Counts

1 319 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
	99.2%	(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (atan2.f64 im re)) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64))))
	99.2%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓	99.3%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
	48.4%	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
	99.2%	(/.f64 (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (atan2.f64 im re)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
	99.1%	(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
	49.9%	(.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (atan2.f64 im re)))
	99.2%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
	49.9%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	49.5%	(*.f64 (atan2.f64 im re) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (log.f64 base))))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
	49.4%	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
	99.2%	(.f64 (.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re))
	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
✓	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
	49.8%	(.f64 (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
	99.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base)) (atan2.f64 im re))
✓	99.2%	(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	54.7%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (log.f64 base)))
✓	52.8%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 (*.f64 (sqrt.f64 im) (sqrt.f64 im)) re) (log.f64 base)))
	45.3%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im (.f64 (.f64 (sqrt.f64 (sqrt.f64 re)) (sqrt.f64 (sqrt.f64 re))) (sqrt.f64 re))) (log.f64 base)))
✓	45.4%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im (*.f64 (sqrt.f64 re) (sqrt.f64 re))) (log.f64 base)))
	49.9%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
✓	99.5%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))

Compiler

Compiled 1 552 to 545 computations (64.9% saved)

regimes85.0ms (1.1%)

Memory

-26.9MiB live, 90.6MiB allocated

Accuracy

Total -63.6b remaining (-18104.4%)

Threshold costs -63.6b (-18104.4%)

Counts

54 → 1

Calls

Call 1

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

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

Calls

5 calls:

26.0ms	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
19.0ms	base
13.0ms	im
13.0ms	re
13.0ms	(log.f64 base)

Results

Accuracy	Segments	Branch
99.5%	1	`(log.f64 base)`
99.5%	1	`(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
99.5%	1	`re`
99.5%	1	`im`
99.5%	1	`base`

Compiler

Compiled 33 to 31 computations (6.1% saved)

simplify55.0ms (0.7%)

Memory

-14.5MiB live, 32.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	21
1	49	19
2	150	15
3	345	13
4	650	13
5	1578	13
6	3340	13
7	4381	13
8	6087	13

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness128.0ms (1.7%)

Memory

-8.3MiB live, 88.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	209	980
1	613	960
2	2208	950
3	6917	950
0	8342	883

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 41 to 28 computations (31.7% saved)

preprocess15.0ms (0.2%)

Memory: 34.3MiB live, 34.3MiB allocated
Compiler: Compiled 126 to 80 computations (36.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze239.0ms (3.2%)

sample1.9s (25.5%)

explain351.0ms (4.7%)

preprocess162.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify0.0ms (0%)

series215.0ms (2.9%)

simplify266.0ms (3.5%)

rewrite291.0ms (3.9%)

eval168.0ms (2.2%)

prune40.0ms (0.5%)

simplify0.0ms (0%)

series191.0ms (2.5%)

simplify229.0ms (3%)

rewrite326.0ms (4.3%)

eval351.0ms (4.7%)

prune135.0ms (1.8%)

simplify0.0ms (0%)

series814.0ms (10.8%)

simplify199.0ms (2.6%)

rewrite75.0ms (1%)

eval88.0ms (1.2%)

prune30.0ms (0.4%)

simplify0.0ms (0%)

series109.0ms (1.4%)

simplify133.0ms (1.8%)

rewrite131.0ms (1.7%)

eval217.0ms (2.9%)

prune565.0ms (7.5%)

regimes85.0ms (1.1%)

simplify55.0ms (0.7%)

soundness128.0ms (1.7%)

preprocess15.0ms (0.2%)

end0.0ms (0%)

Profiling