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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze239.0ms (3.4%)

Memory

-20.9MiB live, 314.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 30 to 17 computations (43.3% saved)

sample2.1s (29.2%)

Memory

55.6MiB live, 2 601.8MiB allocated

Samples

1.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-hypot: 362.0ms (33% of total)

ival-mult: 214.0ms (19.5% of total)

ival-log: 206.0ms (18.8% of total)

ival-atan2: 132.0ms (12% of total)

ival-add: 70.0ms (6.4% of total)

ival-div: 55.0ms (5% of total)

ival-sub: 40.0ms (3.6% of total)

ival-true: 7.0ms (0.6% of total)

exact: 6.0ms (0.5% of total)

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

Bogosity

explain475.0ms (6.7%)

Memory

-8.3MiB live, 385.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
130	-	0	-	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
1	-	1	(1.7326804821482022e+143 -2.9103490596304586e-176 3.091946005052876e-181)	`(*.f64 (atan2.f64 im re) (log.f64 base))`
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 (.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	108	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	overflow	108
↳	`(*.f64 re re)`	overflow	64
↳	`(*.f64 im im)`	overflow	63

Confusion

	Predicted +	Predicted -
+	108	22
-	0	126

Precision

1.0

Recall

0.8307692307692308

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	108	0	22
-	0	0	126

Precision?

1.0

Recall?

0.8307692307692308

Freqs

test

number	freq
0	148
1	108

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

262.0ms

512×

valid

Compiler

Compiled 270 to 58 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-hypot: 70.0ms (49.3% of total)

ival-log: 29.0ms (20.4% of total)

ival-mult: 28.0ms (19.7% of total)

ival-add: 4.0ms (2.8% of total)

ival-atan2: 4.0ms (2.8% of total)

ival-div: 3.0ms (2.1% of total)

ival-sub: 2.0ms (1.4% of total)

ival-true: 1.0ms (0.7% of total)

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

exact: 0.0ms (0% of total)

preprocess162.0ms (2.3%)

Memory

16.1MiB live, 160.6MiB 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: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.9%	(/.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

▶

48.9%

(/.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)

simplify124.0ms (1.8%)

Memory

-14.4MiB live, 134.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	2	(-.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)))
cost-diff	4	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
cost-diff	5	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
cost-diff	6	(/.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))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	113
0	34	77
1	63	75
2	162	71
3	344	69
4	618	69
5	1493	69
6	5128	69
7	5816	69
8	6074	69
9	6092	69
10	6097	69
11	7853	69
0	8069	58

Stop Event

1×	iter limit
1×	node limit
1×	iter 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))))
(-.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 (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))
(-.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 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(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))
#s(literal 0 binary64)
(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
(log.f64 (hypot.f64 re im))
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(hypot.f64 re im)
(+.f64 (.f64 re re) (.f64 im im))
(fma.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 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

localize88.0ms (1.2%)

Memory

5.7MiB live, 96.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.33382590476030194	(*.f64 (atan2.f64 im re) (log.f64 base))
accuracy	0.34994125976844204	(/.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))))
accuracy	0.502285009768442	(*.f64 (log.f64 base) (log.f64 base))
accuracy	30.305430425406136	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Samples

77.0ms

256×

valid

Compiler

Compiled 121 to 20 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 37.0ms (67% of total)

ival-log: 6.0ms (10.9% of total)

ival-hypot: 4.0ms (7.2% of total)

ival-add: 2.0ms (3.6% of total)

ival-atan2: 2.0ms (3.6% of total)

ival-div: 1.0ms (1.8% of total)

ival-sub: 1.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series340.0ms (4.8%)

Memory

1.8MiB live, 182.8MiB allocated

Counts

6 → 32

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

Outputs
(/ (atan2 im re) (log base))
0
im
(+ im (* 1/2 (/ (pow re 2) im)))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
(* (log base) (atan2 im re))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
(+ re (* 1/2 (/ (pow im 2) re)))
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(pow (log base) 2)
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(pow (log (/ 1 base)) 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)

Calls

9 calls:

Time	Variable		Point	Expression
186.0ms	base	@	inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log (sqrt (+ (* re re) (* im im)))) 0) (sqrt (+ (* re re) (* im im))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (log base)) (* (atan2 im re) (log base)))
57.0ms	re	@	0	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log (sqrt (+ (* re re) (* im im)))) 0) (sqrt (+ (* re re) (* im im))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (log base)) (* (atan2 im re) (log base)))
26.0ms	re	@	inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log (sqrt (+ (* re re) (* im im)))) 0) (sqrt (+ (* re re) (* im im))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (log base)) (* (atan2 im re) (log base)))
19.0ms	im	@	inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log (sqrt (+ (* re re) (* im im)))) 0) (sqrt (+ (* re re) (* im im))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (log base)) (* (atan2 im re) (log base)))
18.0ms	base	@	0	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log (sqrt (+ (* re re) (* im im)))) 0) (sqrt (+ (* re re) (* im im))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (log base)) (* (atan2 im re) (log base)))

simplify209.0ms (2.9%)

Memory

-45.6MiB live, 172.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	469
1	343	466
2	1279	462
3	5845	460
0	8117	428

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 30

Calls

Call 1

Inputs
(/ (atan2 im re) (log base))
0
im
(+ im (* 1/2 (/ (pow re 2) im)))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
(* (log base) (atan2 im re))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
(+ re (* 1/2 (/ (pow im 2) re)))
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(pow (log base) 2)
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(pow (log (/ 1 base)) 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)

Outputs
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
0
#s(literal 0 binary64)
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 (.f64 re re) im) im) #s(literal -1/8 binary64) #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))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) im) (/.f64 (/.f64 im re) re) 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) (/.f64 im re)) (/.f64 im 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) (/.f64 im re)) (/.f64 im re) #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 #s(literal -1/2 binary64) re) (/.f64 (.f64 im im) re) #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) (/.f64 im re)) (/.f64 im 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) (/.f64 im re)) (/.f64 im re) #s(literal 1 binary64)))))
(+ 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)
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(.f64 (fma.f64 (/.f64 (/.f64 (.f64 re re) im) im) #s(literal 1/2 binary64) #s(literal 1 binary64)) im)
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(.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 (/.f64 (.f64 re re) im) im) #s(literal 1/2 binary64) #s(literal 1 binary64))) im)
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (.f64 re re) im) im) #s(literal 1/2 binary64) #s(literal 1 binary64)))) im)
(* -1 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 (/.f64 (.f64 re re) im) im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(.f64 (neg.f64 im) (fma.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (.f64 re re) im) im) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(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))
(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))
(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))

rewrite207.0ms (2.9%)

Memory

28.3MiB live, 263.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	74
0	34	38
1	120	36
2	895	33
0	9566	28

Stop Event

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

Counts

6 → 328

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

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))))
(.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3/2 binary64)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))) (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))) (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 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))) #s(literal -1 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 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) #s(literal -1 binary64))
(*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) #s(literal 1 binary64))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -1 binary64))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(*.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.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 (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 (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 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 12 binary64))) (*.f64 (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 10 binary64))) (pow.f64 (log.f64 base) #s(literal 12 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 4 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base))
(/.f64 (pow.f64 (.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (pow.f64 (.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 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 (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 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (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)))
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(fma.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)) #s(literal 0 binary64))
(fma.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) #s(literal 0 binary64))
(fma.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)) #s(literal 0 binary64))
(fma.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) #s(literal 0 binary64))
(fma.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)) #s(literal 0 binary64))
(fma.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)) #s(literal 0 binary64))
(fma.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)) #s(literal 0 binary64))
(fma.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))) #s(literal 0 binary64))
(fma.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))) #s(literal 0 binary64))
(fma.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))) #s(literal 0 binary64))
(fma.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))) #s(literal 0 binary64))
(fma.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))) #s(literal 0 binary64))
(fma.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))) #s(literal 0 binary64))
(fma.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))) #s(literal 0 binary64))
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eval136.0ms (1.9%)

Memory: -13.2MiB live, 137.2MiB allocated
Compiler: Compiled 8 349 to 1 023 computations (87.7% saved)

prune30.0ms (0.4%)

Memory

0.8MiB live, 47.7MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	286	13	299
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	287	13	300

Accuracy

100.0%

Counts

300 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.8%	(/.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 (pow.f64 (log.f64 base) #s(literal 10 binary64)) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	48.9%	(/.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 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 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)))
▶	90.2%	(/.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))))
	99.1%	(/.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 10 binary64))) (pow.f64 (log.f64 base) #s(literal 12 binary64)))
	99.3%	(/.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)))
▶	99.1%	(/.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)))
	99.2%	(/.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)))
	99.3%	(/.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))))
	90.1%	(.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))))
▶	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 504 to 358 computations (29% saved)

simplify186.0ms (2.6%)

Memory

17.6MiB live, 207.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	2	(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
cost-diff	2	(.f64 (/.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re)) #s(literal 1 binary64))
cost-diff	5	(/.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))))
cost-diff	6	(/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re))
cost-diff	0	(log.f64 base)
cost-diff	0	(*.f64 (log.f64 base) (atan2.f64 im re))
cost-diff	0	(/.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)))
cost-diff	3	(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
cost-diff	0	(pow.f64 (log.f64 base) #s(literal 3 binary64))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
cost-diff	0	(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
cost-diff	0	(log.f64 base)
cost-diff	5	(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
cost-diff	0	(log.f64 base)
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 (atan2.f64 im re) (log.f64 base))
cost-diff	0	#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)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	254
0	72	202
1	130	200
2	333	191
3	1131	189
4	4204	189
0	8217	189

Stop Event

1×	iter limit
1×	node limit
1×	iter 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)))
(/.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))))
(log.f64 base)
base
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(atan2.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal 2 binary64))
#s(literal 2 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 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(atan2.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(log.f64 base)
base
#s(literal 3 binary64)
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
(/.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 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(log.f64 base)
base
(atan2.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal 6 binary64))
#s(literal 6 binary64)
(pow.f64 (log.f64 base) #s(literal 8 binary64))
#s(literal 8 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))
(atan2.f64 im re)
im
re
#s(literal 2 binary64)
(log.f64 base)
base
#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))
#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 (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) (log.f64 base))
(log.f64 base)
base
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(atan2.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal 2 binary64))
#s(literal 2 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 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))
(atan2.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(log.f64 base)
base
#s(literal 3 binary64)
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
(/.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 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(log.f64 base)
base
(atan2.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal 6 binary64))
#s(literal 6 binary64)
(pow.f64 (log.f64 base) #s(literal 8 binary64))
#s(literal 8 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 (atan2.f64 im re) (log.f64 base))
(.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 (log.f64 base) (atan2.f64 im re))
(/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re))
(*.f64 (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))
(atan2.f64 im re)
im
re
#s(literal 2 binary64)
(log.f64 base)
base
#s(literal 1 binary64)
(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal 0 binary64)

localize165.0ms (2.3%)

Memory

-16.2MiB live, 318.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.34994125976844204	(/.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))))
accuracy	0.3752529014248057	(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
accuracy	0.502285009768442	(*.f64 (log.f64 base) (log.f64 base))
accuracy	6.1670348885453015	(/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re))
accuracy	0.3483200195368841	(/.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)))
accuracy	0.5184359199983141	(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
accuracy	1.2138035023128064	(pow.f64 (log.f64 base) #s(literal 6 binary64))
accuracy	1.4482067468093982	(pow.f64 (log.f64 base) #s(literal 8 binary64))
accuracy	0.3828125	(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
accuracy	0.40520479911959684	(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
accuracy	0.6782189942110508	(pow.f64 (log.f64 base) #s(literal 3 binary64))
accuracy	0.9277843263380797	(pow.f64 (log.f64 base) #s(literal 4 binary64))
accuracy	0.0	(log.f64 base)
accuracy	0.33203125	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
accuracy	0.36260254118429397	(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
accuracy	0.502285009768442	(pow.f64 (log.f64 base) #s(literal 2 binary64))
accuracy	0.0	(atan2.f64 im re)
accuracy	0.0	(log.f64 base)
accuracy	0.0	#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)))
accuracy	0.30078125	(/.f64 (atan2.f64 im re) (log.f64 base))

Samples

136.0ms

256×

valid

Compiler

Compiled 257 to 41 computations (84% saved)

Precisions

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

ival-hypot: 24.0ms (29.8% of total)

ival-mult: 15.0ms (18.6% of total)

ival-pow: 15.0ms (18.6% of total)

ival-div: 10.0ms (12.4% of total)

ival-log: 6.0ms (7.5% of total)

ival-pow2: 5.0ms (6.2% of total)

ival-atan2: 3.0ms (3.7% of total)

ival-add: 1.0ms (1.2% of total)

ival-sub: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

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

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

series104.0ms (1.5%)

Memory

3.3MiB live, 239.2MiB allocated

Counts

22 → 37

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)
(log.f64 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)))
(/.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 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (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 (log.f64 base) (atan2.f64 im re))
(/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re))
(/.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 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(pow.f64 (log.f64 base) #s(literal 8 binary64))
(pow.f64 (log.f64 base) #s(literal 6 binary64))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))

Outputs
(/ (atan2 im re) (log base))
(atan2 im re)
(/ (atan2 im re) (pow (log base) 2))
(* (pow (log base) 3) (atan2 im re))
(* (pow (log base) 7) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (pow (atan2 im re) 2))
(log base)
(pow (log base) 3)
(pow (log base) 2)
(pow (log base) 4)
(pow (log base) 8)
(pow (log base) 6)
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (log (/ 1 base)))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))
(* -1 (pow (log (/ 1 base)) 3))
(* -1 (* (pow (log (/ 1 base)) 7) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 4)
(pow (log (/ 1 base)) 8)
(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)))) 3) (atan2 im re))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 7) (atan2 im re))
(* (+ (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)))) 8)
(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
15.0ms	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) (log base) (* (log base) (/ (atan2 im re) (pow (log base) 2))) (/ (atan2 im re) (pow (log base) 2)) (/ (* (atan2 im re) (pow (log base) 3)) (pow (log base) 4)) (* (atan2 im re) (pow (log base) 3)) (pow (log base) 3) (* (* (log base) (atan2 im re)) (pow (log base) 6)) (/ (* (* (log base) (atan2 im re)) (pow (log base) 6)) (pow (log base) 8)) (* (log base) (atan2 im re)) (/ (* (pow (atan2 im re) 2) (log base)) (atan2 im re)) (/ (* (/ (* (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) (+ (* (log base) (log base)) (* 0 0)) (pow (log base) 2) (pow (log base) 4) (pow (log base) 8) (pow (log base) 6) (* (log base) (log base)) (* (pow (atan2 im re) 2) (log base)))
13.0ms	base	@	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) (log base) (* (log base) (/ (atan2 im re) (pow (log base) 2))) (/ (atan2 im re) (pow (log base) 2)) (/ (* (atan2 im re) (pow (log base) 3)) (pow (log base) 4)) (* (atan2 im re) (pow (log base) 3)) (pow (log base) 3) (* (* (log base) (atan2 im re)) (pow (log base) 6)) (/ (* (* (log base) (atan2 im re)) (pow (log base) 6)) (pow (log base) 8)) (* (log base) (atan2 im re)) (/ (* (pow (atan2 im re) 2) (log base)) (atan2 im re)) (/ (* (/ (* (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) (+ (* (log base) (log base)) (* 0 0)) (pow (log base) 2) (pow (log base) 4) (pow (log base) 8) (pow (log base) 6) (* (log base) (log base)) (* (pow (atan2 im re) 2) (log base)))
13.0ms	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) (log base) (* (log base) (/ (atan2 im re) (pow (log base) 2))) (/ (atan2 im re) (pow (log base) 2)) (/ (* (atan2 im re) (pow (log base) 3)) (pow (log base) 4)) (* (atan2 im re) (pow (log base) 3)) (pow (log base) 3) (* (* (log base) (atan2 im re)) (pow (log base) 6)) (/ (* (* (log base) (atan2 im re)) (pow (log base) 6)) (pow (log base) 8)) (* (log base) (atan2 im re)) (/ (* (pow (atan2 im re) 2) (log base)) (atan2 im re)) (/ (* (/ (* (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) (+ (* (log base) (log base)) (* 0 0)) (pow (log base) 2) (pow (log base) 4) (pow (log base) 8) (pow (log base) 6) (* (log base) (log base)) (* (pow (atan2 im re) 2) (log base)))
12.0ms	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) (log base) (* (log base) (/ (atan2 im re) (pow (log base) 2))) (/ (atan2 im re) (pow (log base) 2)) (/ (* (atan2 im re) (pow (log base) 3)) (pow (log base) 4)) (* (atan2 im re) (pow (log base) 3)) (pow (log base) 3) (* (* (log base) (atan2 im re)) (pow (log base) 6)) (/ (* (* (log base) (atan2 im re)) (pow (log base) 6)) (pow (log base) 8)) (* (log base) (atan2 im re)) (/ (* (pow (atan2 im re) 2) (log base)) (atan2 im re)) (/ (* (/ (* (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) (+ (* (log base) (log base)) (* 0 0)) (pow (log base) 2) (pow (log base) 4) (pow (log base) 8) (pow (log base) 6) (* (log base) (log base)) (* (pow (atan2 im re) 2) (log base)))
11.0ms	im	@	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) (log base) (* (log base) (/ (atan2 im re) (pow (log base) 2))) (/ (atan2 im re) (pow (log base) 2)) (/ (* (atan2 im re) (pow (log base) 3)) (pow (log base) 4)) (* (atan2 im re) (pow (log base) 3)) (pow (log base) 3) (* (* (log base) (atan2 im re)) (pow (log base) 6)) (/ (* (* (log base) (atan2 im re)) (pow (log base) 6)) (pow (log base) 8)) (* (log base) (atan2 im re)) (/ (* (pow (atan2 im re) 2) (log base)) (atan2 im re)) (/ (* (/ (* (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) (+ (* (log base) (log base)) (* 0 0)) (pow (log base) 2) (pow (log base) 4) (pow (log base) 8) (pow (log base) 6) (* (log base) (log base)) (* (pow (atan2 im re) 2) (log base)))

simplify147.0ms (2.1%)

Memory

28.6MiB live, 199.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	64	278
1	117	266
2	251	266
3	857	266
4	2219	266
5	7701	266
0	8152	266

Stop Event

1×	iter limit
1×	node limit

Counts

37 → 37

Calls

Call 1

Inputs
(/ (atan2 im re) (log base))
(atan2 im re)
(/ (atan2 im re) (pow (log base) 2))
(* (pow (log base) 3) (atan2 im re))
(* (pow (log base) 7) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (pow (atan2 im re) 2))
(log base)
(pow (log base) 3)
(pow (log base) 2)
(pow (log base) 4)
(pow (log base) 8)
(pow (log base) 6)
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (log (/ 1 base)))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))
(* -1 (pow (log (/ 1 base)) 3))
(* -1 (* (pow (log (/ 1 base)) 7) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 4)
(pow (log (/ 1 base)) 8)
(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)))) 3) (atan2 im re))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 7) (atan2 im re))
(* (+ (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)))) 8)
(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)
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(* (pow (log base) 3) (atan2 im re))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))
(* (pow (log base) 7) (atan2 im re))
(*.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (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))
(log base)
(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))
(pow (log base) 4)
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(pow (log base) 8)
(pow.f64 (log.f64 base) #s(literal 8 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)))
(* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))
(* -1 (pow (log (/ 1 base)) 3))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(* -1 (* (pow (log (/ 1 base)) 7) (atan2 im re)))
(*.f64 (neg.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 7 binary64))) (atan2.f64 im re))
(* -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))
(pow (log (/ 1 base)) 8)
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 8 binary64))
(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)))) 3) (atan2 im re))
(*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 3 binary64)) (atan2.f64 im re))
(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)))) 7) (atan2 im re))
(*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 7 binary64)) (atan2.f64 im re))
(* (+ (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)))) 8)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 8 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))
(* (+ (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)))

rewrite131.0ms (1.9%)

Memory

-10.1MiB live, 136.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	205
0	72	174
1	233	160
0	1386	160

Stop Event

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

Counts

22 → 618

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

eval70.0ms (1%)

Memory: 8.9MiB live, 150.6MiB allocated
Compiler: Compiled 10 045 to 1 291 computations (87.1% saved)

prune23.0ms (0.3%)

Memory

17.1MiB live, 63.2MiB allocated

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	469	11	480
Fresh	2	6	8
Picked	1	4	5
Done	0	0	0
Total	472	21	493

Accuracy

100.0%

Counts

493 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.8%	(/.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 (pow.f64 (log.f64 base) #s(literal 10 binary64)) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	53.3%	(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3/2 binary64))) (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)))
	98.7%	(/.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (/.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 0 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))))))
	48.0%	(/.f64 (.f64 (atan2.f64 im re) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64)))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.1%	(/.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 10 binary64))) (pow.f64 (log.f64 base) #s(literal 12 binary64)))
▶	99.3%	(/.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)))
✓	99.1%	(/.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)))
	99.2%	(/.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)))
	99.3%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	99.2%	(/.f64 #s(approx (* (* (log base) (atan2 im re)) (pow (log base) 6)) (*.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
	98.9%	(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
▶	99.4%	(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re))
	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
▶	99.3%	(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (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))))
▶	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)))
	49.1%	#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 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))))
▶	55.5%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))) (log.f64 base)))
	55.2%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (exp.f64 (*.f64 (log.f64 (atan2.f64 im re)) #s(literal 1 binary64))) (log.f64 base)))

Compiler

Compiled 779 to 562 computations (27.9% saved)

simplify162.0ms (2.3%)

Memory

-3.8MiB live, 163.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 base)
cost-diff	0	(*.f64 (log.f64 base) (atan2.f64 im re))
cost-diff	0	(/.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)))
cost-diff	3	(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
cost-diff	0	(/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))) (log.f64 base))
cost-diff	0	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))) (log.f64 base)))
cost-diff	1	(pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))
cost-diff	6	(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)))
cost-diff	0	(log.f64 base)
cost-diff	0	(atan2.f64 im re)
cost-diff	2	(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
cost-diff	3	(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
cost-diff	0	(log.f64 base)
cost-diff	5	(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -1 binary64))
cost-diff	2	(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	215
0	61	172
1	115	168
2	259	149
3	702	149
4	2577	149
5	6928	149
0	8444	149

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(log.f64 base)
base
#s(literal -1 binary64)
(atan2.f64 im re)
im
re
(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(log.f64 base)
base
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(atan2.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(atan2.f64 im re)
im
re
(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(log.f64 base)
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))) (/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))) (log.f64 base)))
(/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))) (log.f64 base))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)))
(pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))
(atan2.f64 im re)
im
re
#s(literal 1/2 binary64)
(log.f64 base)
base
(/.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 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(log.f64 base)
base
(atan2.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal 8 binary64))
#s(literal 8 binary64)
(pow.f64 (log.f64 base) #s(literal 10 binary64))
#s(literal 10 binary64)

Outputs
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(log.f64 base)
base
#s(literal -1 binary64)
(atan2.f64 im re)
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) (log.f64 base))
(log.f64 base)
base
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re))
(atan2.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(log.f64 base)
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))) (/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 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 re) (log.f64 base)))
(/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)))
(atan2.f64 im re)
(pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))
(sqrt.f64 (atan2.f64 im re))
(atan2.f64 im re)
im
re
#s(literal 1/2 binary64)
(log.f64 base)
base
(/.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 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 base)
base
(atan2.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal 8 binary64))
#s(literal 8 binary64)
(pow.f64 (log.f64 base) #s(literal 10 binary64))
#s(literal 10 binary64)

localize215.0ms (3%)

Memory

-8.5MiB live, 290.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.171875	(/.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)))
accuracy	0.19921875	(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
accuracy	0.7920322122247769	(pow.f64 (log.f64 base) #s(literal 8 binary64))
accuracy	0.8996821147638854	(pow.f64 (log.f64 base) #s(literal 10 binary64))
accuracy	0.0	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))) (log.f64 base)))
accuracy	0.15234375	(/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))) (log.f64 base))
accuracy	0.4609375	(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)))
accuracy	1.5978233781233888	(pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))
accuracy	0.0	(log.f64 base)
accuracy	0.15625	(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
accuracy	0.22103500976844204	(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
accuracy	0.27734375	(pow.f64 (log.f64 base) #s(literal 2 binary64))
accuracy	0.0	(log.f64 base)
accuracy	0.15234375	(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
accuracy	0.17238001178494128	(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
accuracy	0.24808505861065208	(pow.f64 (log.f64 base) #s(literal -2 binary64))
accuracy	0.0	(atan2.f64 im re)
accuracy	0.0	(log.f64 base)
accuracy	0.13671875	(pow.f64 (log.f64 base) #s(literal -1 binary64))
accuracy	0.15625	(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re))

Samples

88.0ms	141×	0	valid
36.0ms	115×	0	invalid

Compiler

Compiled 204 to 39 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-mult: 50.0ms (48.6% of total)

ival-pow: 13.0ms (12.6% of total)

ival-sqrt: 11.0ms (10.7% of total)

ival-log: 10.0ms (9.7% of total)

ival-div: 6.0ms (5.8% of total)

ival-hypot: 5.0ms (4.9% of total)

ival-atan2: 2.0ms (1.9% of total)

ival-pow2: 2.0ms (1.9% of total)

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

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

exact: 1.0ms (1% of total)

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

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

series94.0ms (1.3%)

Memory

28.5MiB live, 221.9MiB allocated

Counts

19 → 32

Calls

Call 1

Inputs
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(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) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(/.f64 (log.f64 base) (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 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)))
(pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))) (log.f64 base)))
(/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))) (log.f64 base))
(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (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 (log.f64 base) (atan2.f64 im re))
(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 10 binary64))
(pow.f64 (log.f64 base) #s(literal 8 binary64))

Outputs
(/ (atan2 im re) (log base))
(atan2 im re)
(/ (atan2 im re) (pow (log base) 2))
(sqrt (atan2 im re))
(* (pow (log base) 9) (atan2 im re))
(* (log base) (atan2 im re))
(/ 1 (log base))
(log base)
(/ 1 (pow (log base) 2))
(pow (log base) 2)
(pow (log base) 10)
(pow (log base) 8)
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(* -1 (* (pow (log (/ 1 base)) 9) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(/ 1 (pow (log (/ 1 base)) 2))
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 10)
(pow (log (/ 1 base)) 8)
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (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)))) 9) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 10)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 8)

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	re	@	inf	((* (pow (log base) -1) (atan2 im re)) (pow (log base) -1) (log base) (atan2 im re) (* (log base) (* (atan2 im re) (pow (log base) -2))) (* (atan2 im re) (pow (log base) -2)) (/ (log base) (pow (log base) 2)) (* (atan2 im re) (/ (log base) (pow (log base) 2))) (* (pow (atan2 im re) 1/2) (pow (atan2 im re) 1/2)) (pow (atan2 im re) 1/2) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (* (pow (atan2 im re) 1/2) (pow (atan2 im re) 1/2)) (log base)) (* (* (log base) (atan2 im re)) (pow (log base) 8)) (/ (* (* (log base) (atan2 im re)) (pow (log base) 8)) (pow (log base) 10)) (* (log base) (atan2 im re)) (pow (log base) -2) (pow (log base) 2) (pow (log base) 10) (pow (log base) 8))
13.0ms	base	@	inf	((* (pow (log base) -1) (atan2 im re)) (pow (log base) -1) (log base) (atan2 im re) (* (log base) (* (atan2 im re) (pow (log base) -2))) (* (atan2 im re) (pow (log base) -2)) (/ (log base) (pow (log base) 2)) (* (atan2 im re) (/ (log base) (pow (log base) 2))) (* (pow (atan2 im re) 1/2) (pow (atan2 im re) 1/2)) (pow (atan2 im re) 1/2) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (* (pow (atan2 im re) 1/2) (pow (atan2 im re) 1/2)) (log base)) (* (* (log base) (atan2 im re)) (pow (log base) 8)) (/ (* (* (log base) (atan2 im re)) (pow (log base) 8)) (pow (log base) 10)) (* (log base) (atan2 im re)) (pow (log base) -2) (pow (log base) 2) (pow (log base) 10) (pow (log base) 8))
11.0ms	base	@	-inf	((* (pow (log base) -1) (atan2 im re)) (pow (log base) -1) (log base) (atan2 im re) (* (log base) (* (atan2 im re) (pow (log base) -2))) (* (atan2 im re) (pow (log base) -2)) (/ (log base) (pow (log base) 2)) (* (atan2 im re) (/ (log base) (pow (log base) 2))) (* (pow (atan2 im re) 1/2) (pow (atan2 im re) 1/2)) (pow (atan2 im re) 1/2) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (* (pow (atan2 im re) 1/2) (pow (atan2 im re) 1/2)) (log base)) (* (* (log base) (atan2 im re)) (pow (log base) 8)) (/ (* (* (log base) (atan2 im re)) (pow (log base) 8)) (pow (log base) 10)) (* (log base) (atan2 im re)) (pow (log base) -2) (pow (log base) 2) (pow (log base) 10) (pow (log base) 8))
10.0ms	base	@	0	((* (pow (log base) -1) (atan2 im re)) (pow (log base) -1) (log base) (atan2 im re) (* (log base) (* (atan2 im re) (pow (log base) -2))) (* (atan2 im re) (pow (log base) -2)) (/ (log base) (pow (log base) 2)) (* (atan2 im re) (/ (log base) (pow (log base) 2))) (* (pow (atan2 im re) 1/2) (pow (atan2 im re) 1/2)) (pow (atan2 im re) 1/2) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (* (pow (atan2 im re) 1/2) (pow (atan2 im re) 1/2)) (log base)) (* (* (log base) (atan2 im re)) (pow (log base) 8)) (/ (* (* (log base) (atan2 im re)) (pow (log base) 8)) (pow (log base) 10)) (* (log base) (atan2 im re)) (pow (log base) -2) (pow (log base) 2) (pow (log base) 10) (pow (log base) 8))
9.0ms	im	@	-inf	((* (pow (log base) -1) (atan2 im re)) (pow (log base) -1) (log base) (atan2 im re) (* (log base) (* (atan2 im re) (pow (log base) -2))) (* (atan2 im re) (pow (log base) -2)) (/ (log base) (pow (log base) 2)) (* (atan2 im re) (/ (log base) (pow (log base) 2))) (* (pow (atan2 im re) 1/2) (pow (atan2 im re) 1/2)) (pow (atan2 im re) 1/2) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (* (pow (atan2 im re) 1/2) (pow (atan2 im re) 1/2)) (log base)) (* (* (log base) (atan2 im re)) (pow (log base) 8)) (/ (* (* (log base) (atan2 im re)) (pow (log base) 8)) (pow (log base) 10)) (* (log base) (atan2 im re)) (pow (log base) -2) (pow (log base) 2) (pow (log base) 10) (pow (log base) 8))

simplify140.0ms (2%)

Memory

-36.9MiB live, 54.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	227
1	85	217
2	154	217
3	337	217
4	798	217
5	2472	217
6	3402	217
7	4139	217
8	4458	217
9	4520	217
10	4540	217
11	4540	217
12	4552	217
13	4560	217
14	4565	217
15	4565	217
16	4573	217
0	4573	217

Stop Event

1×	iter limit
1×	saturated

Counts

32 → 32

Calls

Call 1

Inputs
(/ (atan2 im re) (log base))
(atan2 im re)
(/ (atan2 im re) (pow (log base) 2))
(sqrt (atan2 im re))
(* (pow (log base) 9) (atan2 im re))
(* (log base) (atan2 im re))
(/ 1 (log base))
(log base)
(/ 1 (pow (log base) 2))
(pow (log base) 2)
(pow (log base) 10)
(pow (log base) 8)
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(* -1 (* (pow (log (/ 1 base)) 9) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(/ 1 (pow (log (/ 1 base)) 2))
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 10)
(pow (log (/ 1 base)) 8)
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (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)))) 9) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 10)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 8)

Outputs
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2 im re)
(atan2.f64 im re)
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(* (pow (log base) 9) (atan2 im re))
(*.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log base)
(log.f64 base)
(/ 1 (pow (log base) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 10)
(pow.f64 (log.f64 base) #s(literal 10 binary64))
(pow (log base) 8)
(pow.f64 (log.f64 base) #s(literal 8 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)
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(* -1 (* (pow (log (/ 1 base)) 9) (atan2 im re)))
(*.f64 (neg.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 9 binary64))) (atan2.f64 im re))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(/ 1 (pow (log (/ 1 base)) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 10)
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 10 binary64))
(pow (log (/ 1 base)) 8)
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 8 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 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64))))
(+ (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)))) 9) (atan2 im re))
(*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 9 binary64)) (atan2.f64 im re))
(* (+ (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))
(/ 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)))
(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)))) 10)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 10 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 8)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 8 binary64))

rewrite176.0ms (2.5%)

Memory

59.5MiB live, 333.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	174
0	61	123
1	216	117
2	1259	111
0	8763	111

Stop Event

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

Counts

19 → 2 077

Calls

Call 1

Inputs
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(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) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(/.f64 (log.f64 base) (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 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)))
(pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))) (log.f64 base)))
(/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))) (log.f64 base))
(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (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 (log.f64 base) (atan2.f64 im re))
(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 10 binary64))
(pow.f64 (log.f64 base) #s(literal 8 binary64))

Outputs
(.f64 (/.f64 (neg.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 5 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)))))
(.f64 (/.f64 (neg.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 5 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 5 binary64))) (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)))))
(.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 5 binary64))) (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 5 binary64))))
(.f64 (/.f64 (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)))) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 5 binary64))) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)))) (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 5 binary64))))
(.f64 (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)))) (/.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)))))
(.f64 (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (pow.f64 (log.f64 base) #s(literal 5 binary64))) (/.f64 (atan2.f64 im re) (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (pow.f64 (log.f64 base) #s(literal 5 binary64))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 5 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)))) (/.f64 (atan2.f64 im re) (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 5 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)))) (/.f64 (log.f64 base) (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)))))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)))) (/.f64 (neg.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 5 binary64))))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)))) (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)))))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)))) (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 5 binary64))))
(.f64 (/.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (atan2.f64 im re)) (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (neg.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (.f64 (atan2.f64 im re) (log.f64 base))) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (atan2.f64 im re) (log.f64 base))) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (atan2.f64 im re) (.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (log.f64 base) (.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (.f64 (atan2.f64 im re) (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3/2 binary64)) (+.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
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eval293.0ms (4.1%)

Memory: -15.0MiB live, 550.8MiB allocated
Compiler: Compiled 37 042 to 4 176 computations (88.7% saved)

prune48.0ms (0.7%)

Memory

-2.7MiB live, 193.0MiB allocated

Pruning

26 alts after pruning (21 fresh and 5 done)

	Pruned	Kept	Total
New	1 432	18	1 450
Fresh	9	3	12
Picked	3	2	5
Done	1	3	4
Total	1 445	26	1 471

Accuracy

100.0%

Counts

1 471 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.3%	(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3/2 binary64))) (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)))
	99.1%	(/.f64 (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (atan2.f64 im re)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
	99.2%	(/.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
▶	99.2%	(/.f64 #s(approx (* (* (log base) (atan2 im re)) (pow (log base) 6)) (*.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
	49.5%	(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal -1 binary64)) (atan2.f64 im re))
▶	53.5%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))
	49.5%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (atan2.f64 im re))
	55.3%	(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
	55.5%	(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)))
	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
✓	99.3%	(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
▶	99.3%	(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
	49.4%	(*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))))
▶	99.4%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (atan2.f64 im re))
	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -5 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (atan2.f64 im re))
	99.1%	(.f64 (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
▶	53.5%	(*.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (atan2.f64 im re))
✓	99.2%	(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	99.0%	(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal 2 binary64))))
✓	99.2%	(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
	49.1%	(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
✓	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)))
	55.2%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (exp.f64 (*.f64 (log.f64 (atan2.f64 im re)) #s(literal 1 binary64))) (log.f64 base)))
	55.5%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) (sqrt.f64 (atan2.f64 im re))))

Compiler

Compiled 727 to 574 computations (21% saved)

simplify35.0ms (0.5%)

Memory

-4.5MiB live, 40.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (log.f64 base) #s(literal 7 binary64))
cost-diff	0	(*.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (atan2.f64 im re))
cost-diff	0	#s(approx (* (* (log base) (atan2 im re)) (pow (log base) 6)) (*.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (atan2.f64 im re)))
cost-diff	0	(/.f64 #s(approx (* (* (log base) (atan2 im re)) (pow (log base) 6)) (*.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
cost-diff	0	(log.f64 base)
cost-diff	0	(/.f64 (log.f64 base) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal 2 binary64))
cost-diff	0	(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64))
cost-diff	0	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -2 binary64))
cost-diff	0	(sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))
cost-diff	0	(*.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (atan2.f64 im re))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(log.f64 base)
cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 base))
cost-diff	2	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	187
0	53	187
1	70	185
2	87	179
3	153	179
4	180	179
5	248	179
6	409	179
7	608	179
8	744	179
9	889	179
10	1012	179
11	1055	179
12	1075	179
0	1075	179

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
(log.f64 base)
base
(atan2.f64 im re)
im
re
(*.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (atan2.f64 im re))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(log.f64 base)
base
#s(literal -2 binary64)
(atan2.f64 im re)
im
re
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(log.f64 base)
base
#s(literal 2 binary64)
#s(literal -1/2 binary64)
(atan2.f64 im re)
im
re
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(atan2.f64 im re)
im
re
(/.f64 (log.f64 base) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(log.f64 base)
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 #s(approx (* (* (log base) (atan2 im re)) (pow (log base) 6)) (*.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
#s(approx (* (* (log base) (atan2 im re)) (pow (log base) 6)) (*.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (atan2.f64 im re)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (atan2.f64 im re))
(pow.f64 (log.f64 base) #s(literal 7 binary64))
(log.f64 base)
base
#s(literal 7 binary64)
(atan2.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal 8 binary64))
#s(literal 8 binary64)

Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
(log.f64 base)
base
(atan2.f64 im re)
im
re
(*.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (atan2.f64 im re))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(log.f64 base)
base
#s(literal -2 binary64)
(atan2.f64 im re)
im
re
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(log.f64 base)
base
#s(literal 2 binary64)
#s(literal -1/2 binary64)
(atan2.f64 im re)
im
re
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(*.f64 (/.f64 (log.f64 base) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (atan2.f64 im re))
(atan2.f64 im re)
im
re
(/.f64 (log.f64 base) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(log.f64 base)
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 #s(approx (* (* (log base) (atan2 im re)) (pow (log base) 6)) (*.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
#s(approx (* (* (log base) (atan2 im re)) (pow (log base) 6)) (*.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (atan2.f64 im re)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (atan2.f64 im re))
(pow.f64 (log.f64 base) #s(literal 7 binary64))
(log.f64 base)
base
#s(literal 7 binary64)
(atan2.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal 8 binary64))
#s(literal 8 binary64)

localize132.0ms (1.9%)

Memory

15.8MiB live, 171.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3483200195368841	(/.f64 #s(approx (* (* (log base) (atan2 im re)) (pow (log base) 6)) (*.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
accuracy	0.5159884843777249	(*.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (atan2.f64 im re))
accuracy	1.3249088604155705	(pow.f64 (log.f64 base) #s(literal 7 binary64))
accuracy	1.4482067468093982	(pow.f64 (log.f64 base) #s(literal 8 binary64))
accuracy	0.10546875	(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))
accuracy	0.30859375	(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
accuracy	0.38119125976844204	(/.f64 (log.f64 base) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
accuracy	0.9277843263380797	(pow.f64 (log.f64 base) #s(literal 4 binary64))
accuracy	0.0	(log.f64 base)
accuracy	0.125	(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64))
accuracy	0.30859375	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))
accuracy	0.502285009768442	(pow.f64 (log.f64 base) #s(literal 2 binary64))
accuracy	0.0	(log.f64 base)
accuracy	0.1171875	(sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))
accuracy	0.30859375	(*.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (atan2.f64 im re))
accuracy	0.4977913574528623	(pow.f64 (log.f64 base) #s(literal -2 binary64))
accuracy	0.0	(atan2.f64 im re)
accuracy	0.0	(log.f64 base)
accuracy	0.26953125	(/.f64 #s(literal 1 binary64) (log.f64 base))
accuracy	0.30859375	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))

Samples

111.0ms

256×

valid

Compiler

Compiled 171 to 34 computations (80.1% saved)

Precisions

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

ival-pow: 42.0ms (52.5% of total)

ival-mult: 21.0ms (26.2% of total)

ival-div: 5.0ms (6.2% of total)

ival-log: 3.0ms (3.7% of total)

ival-sqrt: 3.0ms (3.7% of total)

ival-atan2: 2.0ms (2.5% of total)

ival-pow2: 2.0ms (2.5% of total)

exact: 1.0ms (1.2% of total)

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

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

series118.0ms (1.7%)

Memory

0.5MiB live, 190.8MiB allocated

Counts

19 → 28

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log.f64 base)
(atan2.f64 im re)
(*.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (atan2.f64 im re))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(/.f64 (log.f64 base) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 #s(approx (* (* (log base) (atan2 im re)) (pow (log base) 6)) (*.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
#s(approx (* (* (log base) (atan2 im re)) (pow (log base) 6)) (*.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (atan2.f64 im re)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (atan2.f64 im re))
(pow.f64 (log.f64 base) #s(literal 7 binary64))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(pow.f64 (log.f64 base) #s(literal 8 binary64))

Outputs
(/ (atan2 im re) (log base))
(atan2 im re)
(* (pow (log base) 7) (atan2 im re))
(/ 1 (log base))
(log base)
(/ 1 (pow (log base) 2))
(pow (log base) 2)
(pow (log base) 7)
(pow (log base) 4)
(pow (log base) 8)
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(/ 1 (pow (log (/ 1 base)) 2))
(pow (log (/ 1 base)) 2)
(* -1 (* (pow (log (/ 1 base)) 7) (atan2 im re)))
(* -1 (pow (log (/ 1 base)) 7))
(pow (log (/ 1 base)) 4)
(pow (log (/ 1 base)) 8)
(/ (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))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 7) (atan2 im re))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 7)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 8)

Calls

9 calls:

Time	Variable		Point	Expression
35.0ms	im	@	inf	((* (/ 1 (log base)) (atan2 im re)) (/ 1 (log base)) (log base) (atan2 im re) (* (sqrt (pow (log base) -2)) (atan2 im re)) (sqrt (pow (log base) -2)) (pow (log base) -2) (* (pow (pow (log base) 2) -1/2) (atan2 im re)) (pow (pow (log base) 2) -1/2) (pow (log base) 2) (* (atan2 im re) (/ (log base) (sqrt (pow (log base) 4)))) (/ (log base) (sqrt (pow (log base) 4))) (/ (* (* (log base) (atan2 im re)) (pow (log base) 6)) (pow (log base) 8)) (* (* (log base) (atan2 im re)) (pow (log base) 6)) (* (pow (log base) 7) (atan2 im re)) (pow (log base) 7) (pow (log base) 4) (sqrt (pow (log base) 4)) (pow (log base) 8))
16.0ms	base	@	inf	((* (/ 1 (log base)) (atan2 im re)) (/ 1 (log base)) (log base) (atan2 im re) (* (sqrt (pow (log base) -2)) (atan2 im re)) (sqrt (pow (log base) -2)) (pow (log base) -2) (* (pow (pow (log base) 2) -1/2) (atan2 im re)) (pow (pow (log base) 2) -1/2) (pow (log base) 2) (* (atan2 im re) (/ (log base) (sqrt (pow (log base) 4)))) (/ (log base) (sqrt (pow (log base) 4))) (/ (* (* (log base) (atan2 im re)) (pow (log base) 6)) (pow (log base) 8)) (* (* (log base) (atan2 im re)) (pow (log base) 6)) (* (pow (log base) 7) (atan2 im re)) (pow (log base) 7) (pow (log base) 4) (sqrt (pow (log base) 4)) (pow (log base) 8))
12.0ms	re	@	0	((* (/ 1 (log base)) (atan2 im re)) (/ 1 (log base)) (log base) (atan2 im re) (* (sqrt (pow (log base) -2)) (atan2 im re)) (sqrt (pow (log base) -2)) (pow (log base) -2) (* (pow (pow (log base) 2) -1/2) (atan2 im re)) (pow (pow (log base) 2) -1/2) (pow (log base) 2) (* (atan2 im re) (/ (log base) (sqrt (pow (log base) 4)))) (/ (log base) (sqrt (pow (log base) 4))) (/ (* (* (log base) (atan2 im re)) (pow (log base) 6)) (pow (log base) 8)) (* (* (log base) (atan2 im re)) (pow (log base) 6)) (* (pow (log base) 7) (atan2 im re)) (pow (log base) 7) (pow (log base) 4) (sqrt (pow (log base) 4)) (pow (log base) 8))
12.0ms	re	@	-inf	((* (/ 1 (log base)) (atan2 im re)) (/ 1 (log base)) (log base) (atan2 im re) (* (sqrt (pow (log base) -2)) (atan2 im re)) (sqrt (pow (log base) -2)) (pow (log base) -2) (* (pow (pow (log base) 2) -1/2) (atan2 im re)) (pow (pow (log base) 2) -1/2) (pow (log base) 2) (* (atan2 im re) (/ (log base) (sqrt (pow (log base) 4)))) (/ (log base) (sqrt (pow (log base) 4))) (/ (* (* (log base) (atan2 im re)) (pow (log base) 6)) (pow (log base) 8)) (* (* (log base) (atan2 im re)) (pow (log base) 6)) (* (pow (log base) 7) (atan2 im re)) (pow (log base) 7) (pow (log base) 4) (sqrt (pow (log base) 4)) (pow (log base) 8))
10.0ms	base	@	-inf	((* (/ 1 (log base)) (atan2 im re)) (/ 1 (log base)) (log base) (atan2 im re) (* (sqrt (pow (log base) -2)) (atan2 im re)) (sqrt (pow (log base) -2)) (pow (log base) -2) (* (pow (pow (log base) 2) -1/2) (atan2 im re)) (pow (pow (log base) 2) -1/2) (pow (log base) 2) (* (atan2 im re) (/ (log base) (sqrt (pow (log base) 4)))) (/ (log base) (sqrt (pow (log base) 4))) (/ (* (* (log base) (atan2 im re)) (pow (log base) 6)) (pow (log base) 8)) (* (* (log base) (atan2 im re)) (pow (log base) 6)) (* (pow (log base) 7) (atan2 im re)) (pow (log base) 7) (pow (log base) 4) (sqrt (pow (log base) 4)) (pow (log base) 8))

simplify80.0ms (1.1%)

Memory

1.2MiB live, 45.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	189
1	73	180
2	122	180
3	254	180
4	566	180
5	1445	180
6	2130	180
7	2805	180
8	3175	180
9	3204	180
10	3246	180
11	3247	180
12	3255	180
0	3255	180

Stop Event

1×	iter limit
1×	saturated

Counts

28 → 28

Calls

Call 1

Inputs
(/ (atan2 im re) (log base))
(atan2 im re)
(* (pow (log base) 7) (atan2 im re))
(/ 1 (log base))
(log base)
(/ 1 (pow (log base) 2))
(pow (log base) 2)
(pow (log base) 7)
(pow (log base) 4)
(pow (log base) 8)
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(/ 1 (pow (log (/ 1 base)) 2))
(pow (log (/ 1 base)) 2)
(* -1 (* (pow (log (/ 1 base)) 7) (atan2 im re)))
(* -1 (pow (log (/ 1 base)) 7))
(pow (log (/ 1 base)) 4)
(pow (log (/ 1 base)) 8)
(/ (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))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 7) (atan2 im re))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 7)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 8)

Outputs
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2 im re)
(atan2.f64 im re)
(* (pow (log base) 7) (atan2 im re))
(*.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (atan2.f64 im re))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log base)
(log.f64 base)
(/ 1 (pow (log base) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 7)
(pow.f64 (log.f64 base) #s(literal 7 binary64))
(pow (log base) 4)
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(pow (log base) 8)
(pow.f64 (log.f64 base) #s(literal 8 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)))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(* -1 (* (pow (log (/ 1 base)) 7) (atan2 im re)))
(*.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 7 binary64)))
(* -1 (pow (log (/ 1 base)) 7))
(neg.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 7 binary64)))
(pow (log (/ 1 base)) 4)
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 4 binary64))
(pow (log (/ 1 base)) 8)
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 8 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 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64))))
(+ (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)))
(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)))) 7) (atan2 im re))
(*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 7 binary64)) (atan2.f64 im re))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 7)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 7 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)))) 8)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 8 binary64))

rewrite142.0ms (2%)

Memory

5.4MiB live, 150.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	145
0	53	130
1	123	122
2	415	116
3	2523	116
0	8661	116

Stop Event

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

Counts

19 → 854

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log.f64 base)
(atan2.f64 im re)
(*.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (atan2.f64 im re))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(/.f64 (log.f64 base) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 #s(approx (* (* (log base) (atan2 im re)) (pow (log base) 6)) (*.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
#s(approx (* (* (log base) (atan2 im re)) (pow (log base) 6)) (*.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (atan2.f64 im re)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (atan2.f64 im re))
(pow.f64 (log.f64 base) #s(literal 7 binary64))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(pow.f64 (log.f64 base) #s(literal 8 binary64))

Outputs
(.f64 (.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (pow.f64 (log.f64 base) #s(literal -1/4 binary64)))
(*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (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 (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(.f64 (sqrt.f64 (log.f64 base)) (.f64 (sqrt.f64 (log.f64 base)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (atan2.f64 im re))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (atan2.f64 im re) (sqrt.f64 (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 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.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 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (log.f64 base))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (atan2.f64 im re) (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))))))
(log.f64 (pow.f64 base (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(.f64 (fabs.f64 (.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal -7/4 binary64))) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal -7/4 binary64))))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -3/4 binary64)) (pow.f64 (log.f64 base) #s(literal -1/4 binary64)))
(*.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (pow.f64 (log.f64 base) #s(literal -3/4 binary64)))
(.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (fabs.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (exp.f64 #s(literal -1/4 binary64)) (log.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (log.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) #s(literal 4 binary64)) (/.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) #s(literal 4 binary64)) (log.f64 (sqrt.f64 (log.f64 base))))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) #s(literal 1 binary64)) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 (log.f64 (log.f64 base)) #s(literal -1/4 binary64)))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 8 binary64)) (*.f64 (log.f64 (log.f64 base)) #s(literal -1/8 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (sqrt.f64 (log.f64 base))))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -8 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 16 binary64)) #s(literal -1/16 binary64))
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal 4 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 8 binary64)) #s(literal -1/8 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #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 -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (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))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (log.f64 base)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 base)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(/.f64 (fabs.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)))) (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.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 (fabs.f64 (sqrt.f64 #s(literal -1 binary64))) (log.f64 base))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #s(literal 2 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 (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.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))) (+.f64 (pow.f64 (cosh.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.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 (sqrt.f64 #s(literal -1 binary64)) (log.f64 base))
(/.f64 (pow.f64 (log.f64 base) #s(literal -3/4 binary64)) (pow.f64 (log.f64 base) #s(literal 1/4 binary64)))
(/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (sqrt.f64 (log.f64 base)))
(/.f64 #s(literal -1 binary64) (log.f64 base))
(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(neg.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(fma.f64 (cosh.f64 (log.f64 (log.f64 base))) #s(literal -1 binary64) (*.f64 (sinh.f64 (neg.f64 (log.f64 (log.f64 base)))) #s(literal -1 binary64)))
(fma.f64 (cosh.f64 (log.f64 (log.f64 base))) #s(literal 1 binary64) (*.f64 (sinh.f64 (neg.f64 (log.f64 (log.f64 base)))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (cosh.f64 (log.f64 (log.f64 base))) (*.f64 #s(literal -1 binary64) (sinh.f64 (neg.f64 (log.f64 (log.f64 base))))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))) (cosh.f64 (log.f64 (log.f64 base))))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 (log.f64 base))) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 (log.f64 (log.f64 base))))))
(sqrt.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(-.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base))))
(fabs.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 base))) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1/2 binary64))) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64))) #s(literal -1/8 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(+.f64 (.f64 (cosh.f64 (log.f64 (log.f64 base))) #s(literal 1 binary64)) (.f64 (sinh.f64 (neg.f64 (log.f64 (log.f64 base)))) #s(literal 1 binary64)))
(+.f64 (.f64 (cosh.f64 (log.f64 (log.f64 base))) #s(literal -1 binary64)) (.f64 (sinh.f64 (neg.f64 (log.f64 (log.f64 base)))) #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 (log.f64 base)))) (.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 (log.f64 (log.f64 base))))))
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(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (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 (neg.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 (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 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)))))
(log.f64 (pow.f64 base (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 5 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 7 binary64)))
(pow.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 7/2 binary64))) (sqrt.f64 (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (*.f64 (exp.f64 #s(literal 6 binary64)) (exp.f64 #s(literal 2 binary64))) (log.f64 (log.f64 base)))
(pow.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (exp.f64 #s(literal 4 binary64)) (exp.f64 #s(literal 4 binary64))) (log.f64 (log.f64 base)))
(pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 6 binary64))) (log.f64 (log.f64 base)))
(pow.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 12 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 7/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 8 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) #s(literal 4 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 16 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 16 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 4 binary64))
(pow.f64 (log.f64 base) #s(literal 8 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64))))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64))))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64))))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64))))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))) (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))) (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64))))))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 8 binary64))))
(neg.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(fma.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)))) (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(fma.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (pow.f64 (log.f64 base) #s(literal 6 binary64)) (*.f64 (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (pow.f64 (log.f64 base) #s(literal 6 binary64))))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64))))) (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(sqrt.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 12 binary64))))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 16 binary64)))
(fabs.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 8 binary64))) (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 16 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64))))
(+.f64 (.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (.f64 (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (pow.f64 (log.f64 base) #s(literal 6 binary64))))
(+.f64 (.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (.f64 (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(+.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))) (.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))))
(+.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64))))) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))))
(+.f64 (neg.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64))))) (sinh.f64 (neg.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64))))))
(+.f64 (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))) (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))) (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))))
(log.f64 (pow.f64 (pow.f64 base #s(literal -1 binary64)) (pow.f64 (log.f64 base) #s(literal 7 binary64))))
(log.f64 (exp.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64))))

eval181.0ms (2.6%)

Memory: -8.2MiB live, 266.5MiB allocated
Compiler: Compiled 17 503 to 2 714 computations (84.5% saved)

prune64.0ms (0.9%)

Memory

-13.6MiB live, 91.7MiB allocated

Pruning

27 alts after pruning (19 fresh and 8 done)

	Pruned	Kept	Total
New	811	7	818
Fresh	4	12	16
Picked	2	3	5
Done	0	5	5
Total	817	27	844

Accuracy

100.0%

Counts

844 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.5%	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
✓	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)))
	99.1%	(/.f64 (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (atan2.f64 im re)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
✓	99.2%	(/.f64 #s(approx (* (* (log base) (atan2 im re)) (pow (log base) 6)) (*.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
	49.3%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (atan2.f64 im re))
	49.5%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (atan2.f64 im re))
	49.5%	(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (atan2.f64 im re))
	55.3%	(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
	55.5%	(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)))
	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
✓	99.3%	(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	49.4%	(*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))))
	49.5%	(*.f64 (/.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base))) (atan2.f64 im re))
	49.5%	(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))) (atan2.f64 im re))
✓	99.4%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (atan2.f64 im re))
	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -5 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (atan2.f64 im re))
	99.1%	(.f64 (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
✓	53.5%	(*.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (atan2.f64 im re))
	53.5%	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (atan2.f64 im re))
	49.4%	(.f64 (sqrt.f64 (log.f64 base)) (.f64 (sqrt.f64 (log.f64 base)) (*.f64 (atan2.f64 im re) (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))))
	99.0%	(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal 2 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)))
	55.2%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (exp.f64 (*.f64 (log.f64 (atan2.f64 im re)) #s(literal 1 binary64))) (log.f64 base)))
	55.5%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) (sqrt.f64 (atan2.f64 im re))))

Compiler

Compiled 1 269 to 520 computations (59% saved)

regimes75.0ms (1.1%)

Memory

16.8MiB live, 146.4MiB allocated

Accuracy

Total -55.5b remaining (-18450.1%)

Threshold costs -55.5b (-18450.1%)

Counts

50 → 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 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (atan2.f64 im re))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (atan2.f64 im re))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 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 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (atan2.f64 im re))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (atan2.f64 im re))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))
(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.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 (exp.f64 (*.f64 (log.f64 (atan2.f64 im re)) #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 re) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))))
(*.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 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal -1 binary64)) (atan2.f64 im re))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -5 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (atan2.f64 im re))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (atan2.f64 im re))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 #s(approx (* (* (log base) (atan2 im re)) (pow (log base) 6)) (*.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 8 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)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))) (log.f64 base)))
(.f64 (sqrt.f64 (log.f64 base)) (.f64 (sqrt.f64 (log.f64 base)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #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))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 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 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(.f64 (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3/2 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (.f64 (atan2.f64 im re) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 3 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 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 10 binary64))) (pow.f64 (log.f64 base) #s(literal 12 binary64)))
(/.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (atan2.f64 im re)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 10 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 (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 (pow.f64 (log.f64 base) #s(literal 10 binary64)) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(.f64 (/.f64 (.f64 (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 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (/.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 0 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))))))

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:

17.0ms	(/.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))))
16.0ms	re
15.0ms	base
12.0ms	(log.f64 base)
12.0ms	im

Results

Accuracy	Segments	Branch
99.5%	1	`re`
99.5%	1	`im`
99.5%	1	`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	`(log.f64 base)`

Compiler

Compiled 33 to 31 computations (6.1% saved)

simplify59.0ms (0.8%)

Memory

-13.4MiB live, 44.4MiB 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)))

soundness117.0ms (1.7%)

Memory

-3.1MiB live, 130.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	469
1	343	466
2	1279	462
3	5845	460
0	8117	428

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 41 to 28 computations (31.7% saved)

preprocess37.0ms (0.5%)

Memory: 33.2MiB live, 90.3MiB 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 (3.4%)

sample2.1s (29.2%)

explain475.0ms (6.7%)

preprocess162.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify124.0ms (1.8%)

localize88.0ms (1.2%)

series340.0ms (4.8%)

simplify209.0ms (2.9%)

rewrite207.0ms (2.9%)

eval136.0ms (1.9%)

prune30.0ms (0.4%)

simplify186.0ms (2.6%)

localize165.0ms (2.3%)

series104.0ms (1.5%)

simplify147.0ms (2.1%)

rewrite131.0ms (1.9%)

eval70.0ms (1%)

prune23.0ms (0.3%)

simplify162.0ms (2.3%)

localize215.0ms (3%)

series94.0ms (1.3%)

simplify140.0ms (2%)

rewrite176.0ms (2.5%)

eval293.0ms (4.1%)

prune48.0ms (0.7%)

simplify35.0ms (0.5%)

localize132.0ms (1.9%)

series118.0ms (1.7%)

simplify80.0ms (1.1%)

rewrite142.0ms (2%)

eval181.0ms (2.6%)

prune64.0ms (0.9%)

regimes75.0ms (1.1%)

simplify59.0ms (0.8%)

soundness117.0ms (1.7%)

preprocess37.0ms (0.5%)

end0.0ms (0%)

Profiling