Metrics for math.sin on complex, imaginary part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample2.1s (20.6%)

Memory

60.9MiB live, 3 389.4MiB allocated

Samples

674.0ms	1 454×	2	valid
612.0ms	2 516×	1	valid
428.0ms	4 286×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-exp: 757.0ms (53.7% of total)

ival-cos: 230.0ms (16.3% of total)

adjust: 147.0ms (10.4% of total)

ival-mult: 142.0ms (10.1% of total)

ival-sub: 115.0ms (8.2% of total)

exact: 9.0ms (0.6% of total)

ival-true: 6.0ms (0.4% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain240.0ms (2.4%)

Memory

-51.5MiB live, 171.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
129	0	-	-	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
0	0	-	-	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
0	0	-	-	`(exp.f64 im)`
0	0	-	-	`#s(literal 0 binary64)`
0	0	-	-	`(cos.f64 re)`
0	0	-	-	`im`
0	0	-	-	`(-.f64 #s(literal 0 binary64) im)`
0	0	-	-	`re`
0	0	-	-	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
0	0	-	-	`#s(literal 1/2 binary64)`
0	1	(1.349495529303402e+131 230.18899946978897)	-	`(exp.f64 (-.f64 #s(literal 0 binary64) im))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`	cancellation	129	0
`exp.f64`	`(exp.f64 (-.f64 #s(literal 0 binary64) im))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	129	0
-	1	126

Precision

0.9923076923076923

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	129	0	0
-	1	0	126

Precision?

0.9923076923076923

Recall?

1.0

Freqs

test

number	freq
0	126
1	130

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

48.0ms	108×	2	valid
31.0ms	146×	1	valid
24.0ms	258×	0	valid

Compiler

Compiled 130 to 48 computations (63.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-exp: 44.0ms (55.7% of total)

ival-cos: 12.0ms (15.2% of total)

adjust: 8.0ms (10.1% of total)

ival-mult: 8.0ms (10.1% of total)

ival-sub: 6.0ms (7.6% of total)

exact: 1.0ms (1.3% of total)

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

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

preprocess139.0ms (1.4%)

Memory

29.6MiB live, 67.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	59
1	79	55
2	234	55
3	732	55
4	1670	55
5	2308	55
6	2516	55
7	2788	55
8	3052	55
9	3249	55
10	3299	55
11	3307	55
12	3307	55
13	3307	55
0	11	12
0	18	11
1	29	11
2	58	11
3	129	11
4	238	11
5	367	11
6	546	11
7	794	11
8	1084	11
9	1219	11
10	1254	11
11	1261	11
12	1261	11
0	1261	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Outputs

(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))

Symmetry

(abs re)

(negabs im)

Compiler

Compiled 12 to 11 computations (8.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.1%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify49.0ms (0.5%)

Memory

-23.9MiB live, 16.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 re)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
cost-diff	64	(-.f64 #s(literal 0 binary64) im)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
0	18	34
1	29	34
2	58	34
3	129	34
4	238	34
5	367	34
6	546	34
7	794	34
8	1084	34
9	1219	34
10	1254	34
11	1261	34
12	1261	34
0	1261	34

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(exp.f64 (-.f64 #s(literal 0 binary64) im))
(-.f64 #s(literal 0 binary64) im)
#s(literal 0 binary64)
im
(exp.f64 im)

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (-.f64 #s(literal 0 binary64) im))
(exp.f64 (neg.f64 im))
(-.f64 #s(literal 0 binary64) im)
(neg.f64 im)
#s(literal 0 binary64)
im
(exp.f64 im)

localize106.0ms (1.1%)

Memory

14.6MiB live, 52.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 im)
accuracy	0	(cos.f64 re)
accuracy	0.05859375	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
accuracy	30.015459521697196	(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))

Samples

69.0ms	54×	2	valid
15.0ms	73×	1	valid
13.0ms	129×	0	valid

Compiler

Compiled 78 to 24 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-exp: 67.0ms (78.3% of total)

ival-cos: 7.0ms (8.2% of total)

adjust: 4.0ms (4.7% of total)

ival-mult: 4.0ms (4.7% of total)

ival-sub: 3.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

6 → 31

Calls

Call 1

Inputs
(-.f64 #s(literal 0 binary64) im)
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(cos.f64 re)
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(exp.f64 im)

Outputs
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (cos re))
(cos re)
(* -1 im)
(* -1 (* im (cos re)))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(- (exp (neg im)) (exp im))
(exp im)
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	im	@	0	((- 0 im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (exp im))
1.0ms	im	@	inf	((- 0 im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (exp im))
1.0ms	im	@	-inf	((- 0 im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (exp im))
1.0ms	re	@	inf	((- 0 im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (exp im))
1.0ms	re	@	0	((- 0 im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (exp im))

simplify243.0ms (2.4%)

Memory

15.7MiB live, 128.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	381
1	321	347
2	906	341
3	2928	320
4	6382	320
0	8344	287

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 31

Calls

Call 1

Inputs
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (cos re))
(cos re)
(* -1 im)
(* -1 (* im (cos re)))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(- (exp (neg im)) (exp im))
(exp im)
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))

Outputs
(* 1/2 (- (exp (neg im)) (exp im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow re 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (cos re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(cos re)
(cos.f64 re)
(* -1 im)
(neg.f64 im)
(* -1 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(*.f64 (neg.f64 (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(.f64 (cos.f64 re) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)) (neg.f64 im)))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(.f64 (.f64 (cos.f64 re) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) im)
(* -2 im)
(*.f64 #s(literal -2 binary64) im)
(* im (- (* -1/3 (pow im 2)) 2))
(.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(+ 1 im)
(+.f64 #s(literal 1 binary64) im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp im)
(exp.f64 im)
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite159.0ms (1.6%)

Memory

-6.5MiB live, 103.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
0	18	27
1	54	27
2	351	27
0	4157	27

Stop Event

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

Counts

6 → 206

Calls

Call 1

Inputs
(-.f64 #s(literal 0 binary64) im)
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(cos.f64 re)
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(exp.f64 im)

Outputs
(.f64 (/.f64 (.f64 im im) (*.f64 im im)) (neg.f64 im))
(*.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (neg.f64 (pow.f64 im #s(literal 6 binary64)))) (pow.f64 im #s(literal 4 binary64)))
(.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (neg.f64 (pow.f64 im #s(literal 4 binary64)))) (.f64 (neg.f64 im) im))
(.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 4 binary64))) (.f64 im im))
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(fma.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (+.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) (+.f64 (expm1.f64 (.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(fma.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3/2 binary64))) (/.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3/2 binary64))) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 im))) (neg.f64 (exp.f64 im)))
(fma.f64 #s(literal -1 binary64) (exp.f64 im) (exp.f64 (neg.f64 im)))
(fma.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(fma.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(fma.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)) (neg.f64 (exp.f64 im)))
(fma.f64 (exp.f64 im) #s(literal -1 binary64) (exp.f64 (neg.f64 im)))
(fma.f64 (exp.f64 (neg.f64 im)) (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(fma.f64 (exp.f64 (neg.f64 im)) (/.f64 (exp.f64 (neg.f64 im)) (.f64 #s(literal 2 binary64) (cosh.f64 im))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(fma.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64) (neg.f64 (exp.f64 im)))
(-.f64 (+.f64 (exp.f64 (neg.f64 im)) #s(literal 0 binary64)) (exp.f64 im))
(-.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im))))
(-.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(+.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(+.f64 (neg.f64 (exp.f64 im)) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 (neg.f64 im)) (neg.f64 (exp.f64 im)))
(*.f64 #s(literal 1 binary64) (exp.f64 im))
(*.f64 (exp.f64 im) #s(literal 1 binary64))
(/.f64 (neg.f64 (exp.f64 im)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(/.f64 (exp.f64 im) #s(literal 1 binary64))
(exp.f64 im)

eval84.0ms (0.8%)

Memory: 6.0MiB live, 54.9MiB allocated
Compiler: Compiled 5 577 to 870 computations (84.4% saved)

prune58.0ms (0.6%)

Memory

-18.1MiB live, 20.7MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	226	9	235
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	227	9	236

Accuracy

99.9%

Counts

236 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.1%	(fma.f64 (.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re) (/.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
	53.1%	(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
	4.7%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (-.f64 (neg.f64 (exp.f64 im)) (exp.f64 (neg.f64 im)))))
▶	91.8%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
▶	89.8%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	84.9%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
▶	40.3%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
	39.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
▶	52.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))

Compiler

Compiled 382 to 296 computations (22.5% saved)

simplify211.0ms (2.1%)

Memory

22.3MiB live, 99.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 im)
cost-diff	0	(neg.f64 (exp.f64 im))
cost-diff	128	(*.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64))
cost-diff	7168	(fma.f64 (.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re) (/.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
cost-diff	0	(*.f64 re re)
cost-diff	0	(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
cost-diff	0	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
cost-diff	0	(cos.f64 re)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
cost-diff	0	(cos.f64 re)
cost-diff	0	(neg.f64 (cos.f64 re))
cost-diff	0	(*.f64 (neg.f64 (cos.f64 re)) im)
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
cost-diff	0	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
cost-diff	0	(cos.f64 re)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	352
0	79	346
1	144	342
2	287	342
3	642	341
4	1426	341
5	2600	341
6	4141	341
7	5361	341
8	5843	341
9	5977	341
10	6220	341
11	6446	341
12	6680	341
13	7875	341
0	8083	341

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
#s(literal -1/2520 binary64)
(*.f64 im im)
im
#s(literal -1/60 binary64)
#s(literal -1/3 binary64)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(*.f64 (neg.f64 (cos.f64 re)) im)
(neg.f64 (cos.f64 re))
(cos.f64 re)
re
im
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64))
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
#s(literal -1/60 binary64)
(*.f64 im im)
im
#s(literal -1/3 binary64)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
(fma.f64 (.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re) (/.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(*.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64))
(neg.f64 (exp.f64 im))
(exp.f64 im)
im
#s(literal 1/2 binary64)
(cos.f64 re)
re
(/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 re)
re
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
(fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))
#s(literal -1/2520 binary64)
(*.f64 im im)
im
#s(literal -1/60 binary64)
#s(literal -1/3 binary64)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 im) (cos.f64 re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(*.f64 (neg.f64 im) (cos.f64 re))
(neg.f64 (cos.f64 re))
(cos.f64 re)
re
im
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 re)
re
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64))
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
#s(literal -1/60 binary64)
(*.f64 im im)
im
#s(literal -1/3 binary64)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 re re) #s(literal -1/2 binary64)) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 re re) #s(literal -1/2 binary64)) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
(fma.f64 (.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re) (/.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(.f64 (.f64 (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)) #s(literal -1/2 binary64))
(*.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (exp.f64 im))
(neg.f64 (exp.f64 im))
(exp.f64 im)
im
#s(literal 1/2 binary64)
(cos.f64 re)
re
(/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))
(*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))

localize336.0ms (3.3%)

Memory

-28.1MiB live, 222.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 im)
accuracy	0	(cos.f64 re)
accuracy	0.0078125	(/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))
accuracy	29.996454577450283	(fma.f64 (.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re) (/.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
accuracy	0	(exp.f64 im)
accuracy	3.5902933415735707	(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
accuracy	23.82501668979518	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
accuracy	30.015459521697196	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
accuracy	0.02734375	(fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64))
accuracy	0.05859375	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
accuracy	0.08203125	(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
accuracy	6.466006182974384	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
accuracy	0	(neg.f64 (cos.f64 re))
accuracy	0	(cos.f64 re)
accuracy	0.1171875	(*.f64 (neg.f64 (cos.f64 re)) im)
accuracy	30.15324976288508	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
accuracy	0.05859375	(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
accuracy	0.05859375	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
accuracy	0.078125	(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
accuracy	5.166149745682956	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))

Samples

109.0ms	72×	1	valid
93.0ms	55×	2	valid
59.0ms	129×	0	valid

Compiler

Compiled 637 to 93 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 209.0ms

ival-sub: 44.0ms (21% of total)

ival-exp: 37.0ms (17.7% of total)

ival-mult: 36.0ms (17.2% of total)

const: 30.0ms (14.3% of total)

ival-neg: 20.0ms (9.6% of total)

ival-cos: 15.0ms (7.2% of total)

adjust: 13.0ms (6.2% of total)

ival-add: 11.0ms (5.3% of total)

ival-div: 3.0ms (1.4% of total)

exact: 1.0ms (0.5% of total)

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

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

series52.0ms (0.5%)

Memory

-16.8MiB live, 20.1MiB allocated

Counts

23 → 94

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(cos.f64 re)
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(*.f64 (neg.f64 (cos.f64 re)) im)
(neg.f64 (cos.f64 re))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
(fma.f64 (.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re) (/.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(*.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64))
(neg.f64 (exp.f64 im))
(exp.f64 im)
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
(fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))

Outputs
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* -1 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
-1
(- (* 1/2 (pow re 2)) 1)
(- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1)
(- (* (pow re 2) (+ 1/2 (* (pow re 2) (- (* 1/720 (pow re 2)) 1/24)))) 1)
(pow re 2)
(+ (* -1/2 (exp im)) (* 1/2 (/ 1 (exp im))))
(+ (* -1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (* 1/4 (exp im)) (* 1/4 (/ 1 (exp im)))))))
(+ (* -1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (+ (* 1/4 (exp im)) (* (pow re 2) (+ (* -1/48 (exp im)) (* 1/48 (/ 1 (exp im)))))) (* 1/4 (/ 1 (exp im)))))))
(+ (* -1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (+ (* 1/4 (exp im)) (* (pow re 2) (+ (* -1/48 (exp im)) (+ (* 1/48 (/ 1 (exp im))) (* (pow re 2) (- (* 1/1440 (exp im)) (* 1/1440 (/ 1 (exp im))))))))) (* 1/4 (/ 1 (exp im)))))))
(/ 1/2 (exp im))
(+ (* -1/4 (/ (pow re 2) (exp im))) (* 1/2 (/ 1 (exp im))))
(+ (* (pow re 2) (- (* 1/48 (/ (pow re 2) (exp im))) (* 1/4 (/ 1 (exp im))))) (* 1/2 (/ 1 (exp im))))
(+ (* (pow re 2) (- (* (pow re 2) (+ (* -1/1440 (/ (pow re 2) (exp im))) (* 1/48 (/ 1 (exp im))))) (* 1/4 (/ 1 (exp im))))) (* 1/2 (/ 1 (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (cos re))
(cos re)
(* -1 (* im (cos re)))
(* -1 (cos re))
(* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im))))
(* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2)))))
(* -1/4 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))
(+ (* -1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(* 1/2 (/ (cos re) (exp im)))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* -2 (* im (+ 1/2 (* -1/4 (pow re 2)))))
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/3 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/60 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/60 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/2520 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))))
(+ (* -1/2 (cos re)) (* 1/2 (cos re)))
(+ (* -1 (* im (cos re))) (+ (* -1/2 (cos re)) (* 1/2 (cos re))))
(+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* im (+ (* -1 (cos re)) (* im (+ (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* -1/4 (cos re))))))))
(+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* im (+ (* -1 (cos re)) (* im (+ (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/4 (cos re)) (* im (+ (* -1/2 (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/2 (cos re)) (* 1/6 (cos re))))) (* -1/12 (cos re)))))))))))
-1/2
(- (* -1/2 im) 1/2)
(- (* im (- (* -1/4 im) 1/2)) 1/2)
(- (* im (- (* im (- (* -1/12 im) 1/4)) 1/2)) 1/2)
(- (* -1 im) 1)
(- (* im (- (* -1/2 im) 1)) 1)
(- (* im (- (* im (- (* -1/6 im) 1/2)) 1)) 1)
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
-1/60
(- (* -1/2520 (pow im 2)) 1/60)
-1/3
(- (* -1/60 (pow im 2)) 1/3)
(- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)
-2
(- (* -1/3 (pow im 2)) 2)
(- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)
(+ (* -1/2 (* im (cos re))) (* 1/2 (cos re)))
(+ (* 1/2 (cos re)) (* im (+ (* -1/2 (cos re)) (* -1/2 (* im (+ (* -1 (cos re)) (* 1/2 (cos re))))))))
(+ (* 1/2 (cos re)) (* im (+ (* -1/2 (cos re)) (* im (+ (* -1/2 (* im (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/2 (cos re)) (* 1/6 (cos re)))))) (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))))))))
(- (exp (neg im)) (exp im))
(* (+ 1/2 (* -1/4 (pow re 2))) (- (exp (neg im)) (exp im)))
(* -1/2 (exp im))
(* -1 (exp im))
(exp im)
(* -1/2520 (pow im 2))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 4))
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* -1/60 (pow im 2))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1/60 (pow im 4))
(* -1 (* (pow im 4) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* (pow im 4) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* (+ 1/2 (* -1/4 (pow re 2))) (- (exp (* -1 im)) (exp im)))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	im	@	0	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (+ (* (* re re) -1/4) 1/2) (* re re) (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) (* (neg (exp im)) 1/2) (neg (exp im)) (exp im) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* -1/60 (* im im)) -1/3) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (- (exp (neg im)) (exp im)) (/ (* (cos re) 1/2) (exp im)))
4.0ms	im	@	inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (+ (* (* re re) -1/4) 1/2) (* re re) (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) (* (neg (exp im)) 1/2) (neg (exp im)) (exp im) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* -1/60 (* im im)) -1/3) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (- (exp (neg im)) (exp im)) (/ (* (cos re) 1/2) (exp im)))
4.0ms	im	@	-inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (+ (* (* re re) -1/4) 1/2) (* re re) (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) (* (neg (exp im)) 1/2) (neg (exp im)) (exp im) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* -1/60 (* im im)) -1/3) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (- (exp (neg im)) (exp im)) (/ (* (cos re) 1/2) (exp im)))
4.0ms	re	@	0	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (+ (* (* re re) -1/4) 1/2) (* re re) (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) (* (neg (exp im)) 1/2) (neg (exp im)) (exp im) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* -1/60 (* im im)) -1/3) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (- (exp (neg im)) (exp im)) (/ (* (cos re) 1/2) (exp im)))
3.0ms	re	@	inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (+ (* (* re re) -1/4) 1/2) (* re re) (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) (* (neg (exp im)) 1/2) (neg (exp im)) (exp im) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* -1/60 (* im im)) -1/3) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (- (exp (neg im)) (exp im)) (/ (* (cos re) 1/2) (exp im)))

simplify167.0ms (1.6%)

Memory

9.1MiB live, 200.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	330	1234
1	1009	1126
2	3370	1075
0	8228	972

Stop Event

1×	iter limit
1×	node limit

Counts

94 → 94

Calls

Call 1

Inputs
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* -1 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
-1
(- (* 1/2 (pow re 2)) 1)
(- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1)
(- (* (pow re 2) (+ 1/2 (* (pow re 2) (- (* 1/720 (pow re 2)) 1/24)))) 1)
(pow re 2)
(+ (* -1/2 (exp im)) (* 1/2 (/ 1 (exp im))))
(+ (* -1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (* 1/4 (exp im)) (* 1/4 (/ 1 (exp im)))))))
(+ (* -1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (+ (* 1/4 (exp im)) (* (pow re 2) (+ (* -1/48 (exp im)) (* 1/48 (/ 1 (exp im)))))) (* 1/4 (/ 1 (exp im)))))))
(+ (* -1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (+ (* 1/4 (exp im)) (* (pow re 2) (+ (* -1/48 (exp im)) (+ (* 1/48 (/ 1 (exp im))) (* (pow re 2) (- (* 1/1440 (exp im)) (* 1/1440 (/ 1 (exp im))))))))) (* 1/4 (/ 1 (exp im)))))))
(/ 1/2 (exp im))
(+ (* -1/4 (/ (pow re 2) (exp im))) (* 1/2 (/ 1 (exp im))))
(+ (* (pow re 2) (- (* 1/48 (/ (pow re 2) (exp im))) (* 1/4 (/ 1 (exp im))))) (* 1/2 (/ 1 (exp im))))
(+ (* (pow re 2) (- (* (pow re 2) (+ (* -1/1440 (/ (pow re 2) (exp im))) (* 1/48 (/ 1 (exp im))))) (* 1/4 (/ 1 (exp im))))) (* 1/2 (/ 1 (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (cos re))
(cos re)
(* -1 (* im (cos re)))
(* -1 (cos re))
(* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im))))
(* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2)))))
(* -1/4 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))
(+ (* -1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(* 1/2 (/ (cos re) (exp im)))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* -2 (* im (+ 1/2 (* -1/4 (pow re 2)))))
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/3 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/60 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/60 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/2520 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))))
(+ (* -1/2 (cos re)) (* 1/2 (cos re)))
(+ (* -1 (* im (cos re))) (+ (* -1/2 (cos re)) (* 1/2 (cos re))))
(+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* im (+ (* -1 (cos re)) (* im (+ (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* -1/4 (cos re))))))))
(+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* im (+ (* -1 (cos re)) (* im (+ (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/4 (cos re)) (* im (+ (* -1/2 (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/2 (cos re)) (* 1/6 (cos re))))) (* -1/12 (cos re)))))))))))
-1/2
(- (* -1/2 im) 1/2)
(- (* im (- (* -1/4 im) 1/2)) 1/2)
(- (* im (- (* im (- (* -1/12 im) 1/4)) 1/2)) 1/2)
(- (* -1 im) 1)
(- (* im (- (* -1/2 im) 1)) 1)
(- (* im (- (* im (- (* -1/6 im) 1/2)) 1)) 1)
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
-1/60
(- (* -1/2520 (pow im 2)) 1/60)
-1/3
(- (* -1/60 (pow im 2)) 1/3)
(- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)
-2
(- (* -1/3 (pow im 2)) 2)
(- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)
(+ (* -1/2 (* im (cos re))) (* 1/2 (cos re)))
(+ (* 1/2 (cos re)) (* im (+ (* -1/2 (cos re)) (* -1/2 (* im (+ (* -1 (cos re)) (* 1/2 (cos re))))))))
(+ (* 1/2 (cos re)) (* im (+ (* -1/2 (cos re)) (* im (+ (* -1/2 (* im (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/2 (cos re)) (* 1/6 (cos re)))))) (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))))))))
(- (exp (neg im)) (exp im))
(* (+ 1/2 (* -1/4 (pow re 2))) (- (exp (neg im)) (exp im)))
(* -1/2 (exp im))
(* -1 (exp im))
(exp im)
(* -1/2520 (pow im 2))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 4))
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* -1/60 (pow im 2))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1/60 (pow im 4))
(* -1 (* (pow im 4) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* (pow im 4) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* (+ 1/2 (* -1/4 (pow re 2))) (- (exp (* -1 im)) (exp im)))

Outputs
(* 1/2 (- (exp (neg im)) (exp im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (+.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 re re) (.f64 #s(literal 1/48 binary64) (.f64 re re)))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow re 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(* -1 im)
(neg.f64 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(.f64 (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im)
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(fma.f64 (.f64 (.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im))
-1
#s(literal -1 binary64)
(- (* 1/2 (pow re 2)) 1)
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1)
(fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))
(- (* (pow re 2) (+ 1/2 (* (pow re 2) (- (* 1/720 (pow re 2)) 1/24)))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))
(pow re 2)
(*.f64 re re)
(+ (* -1/2 (exp im)) (* 1/2 (/ 1 (exp im))))
(fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+ (* -1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (* 1/4 (exp im)) (* 1/4 (/ 1 (exp im)))))))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) (exp.f64 im) (/.f64 #s(literal -1/4 binary64) (exp.f64 im))) (*.f64 re re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(+ (* -1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (+ (* 1/4 (exp im)) (* (pow re 2) (+ (* -1/48 (exp im)) (* 1/48 (/ 1 (exp im)))))) (* 1/4 (/ 1 (exp im)))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (exp.f64 im) (/.f64 #s(literal 1/48 binary64) (exp.f64 im))) re) re (fma.f64 #s(literal 1/4 binary64) (exp.f64 im) (/.f64 #s(literal -1/4 binary64) (exp.f64 im)))) (.f64 re re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(+ (* -1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (+ (* 1/4 (exp im)) (* (pow re 2) (+ (* -1/48 (exp im)) (+ (* 1/48 (/ 1 (exp im))) (* (pow re 2) (- (* 1/1440 (exp im)) (* 1/1440 (/ 1 (exp im))))))))) (* 1/4 (/ 1 (exp im)))))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (exp.f64 im) (/.f64 #s(literal -1/1440 binary64) (exp.f64 im))) (.f64 re re) (fma.f64 #s(literal -1/48 binary64) (exp.f64 im) (/.f64 #s(literal 1/48 binary64) (exp.f64 im)))) (.f64 re re) (fma.f64 #s(literal 1/4 binary64) (exp.f64 im) (/.f64 #s(literal -1/4 binary64) (exp.f64 im)))) (*.f64 re re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(/ 1/2 (exp im))
(/.f64 #s(literal 1/2 binary64) (exp.f64 im))
(+ (* -1/4 (/ (pow re 2) (exp im))) (* 1/2 (/ 1 (exp im))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) re) (/.f64 re (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+ (* (pow re 2) (- (* 1/48 (/ (pow re 2) (exp im))) (* 1/4 (/ 1 (exp im))))) (* 1/2 (/ 1 (exp im))))
(fma.f64 (.f64 (exp.f64 (neg.f64 im)) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+ (* (pow re 2) (- (* (pow re 2) (+ (* -1/1440 (/ (pow re 2) (exp im))) (* 1/48 (/ 1 (exp im))))) (* 1/4 (/ 1 (exp im))))) (* 1/2 (/ 1 (exp im))))
(fma.f64 (fma.f64 (.f64 re (/.f64 re (exp.f64 im))) (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (/.f64 #s(literal -1/4 binary64) (exp.f64 im))) (*.f64 re re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (cos re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(cos re)
(cos.f64 re)
(* -1 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(* -1 (cos re))
(neg.f64 (cos.f64 re))
(* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im))))
(.f64 (.f64 (*.f64 re re) #s(literal -1/4 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2)))))
(.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64))) (.f64 re re))
(* -1/4 (pow re 2))
(.f64 (.f64 re re) #s(literal -1/4 binary64))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re)
(+ (* -1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (/ (cos re) (exp im)))
(*.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(.f64 (fma.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64))) (.f64 im im) (neg.f64 (cos.f64 re))) im)
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (cos.f64 re) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64))) (.f64 (cos.f64 re) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im)
(* -2 im)
(*.f64 #s(literal -2 binary64) im)
(* im (- (* -1/3 (pow im 2)) 2))
(.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(* -2 (* im (+ 1/2 (* -1/4 (pow re 2)))))
(.f64 (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im)
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/3 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))
(.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im)
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/60 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64))) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im))
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/60 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/2520 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))))
(.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)
(+ (* -1/2 (cos re)) (* 1/2 (cos re)))
#s(literal 0 binary64)
(+ (* -1 (* im (cos re))) (+ (* -1/2 (cos re)) (* 1/2 (cos re))))
(*.f64 (neg.f64 (cos.f64 re)) im)
(+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* im (+ (* -1 (cos re)) (* im (+ (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* -1/4 (cos re))))))))
(*.f64 (neg.f64 (cos.f64 re)) im)
(+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* im (+ (* -1 (cos re)) (* im (+ (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/4 (cos re)) (* im (+ (* -1/2 (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/2 (cos re)) (* 1/6 (cos re))))) (* -1/12 (cos re)))))))))))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) (cos.f64 re) (*.f64 #s(literal -1/12 binary64) (cos.f64 re))) im) im (neg.f64 (cos.f64 re))) im)
-1/2
#s(literal -1/2 binary64)
(- (* -1/2 im) 1/2)
(fma.f64 #s(literal -1/2 binary64) im #s(literal -1/2 binary64))
(- (* im (- (* -1/4 im) 1/2)) 1/2)
(fma.f64 (fma.f64 #s(literal -1/4 binary64) im #s(literal -1/2 binary64)) im #s(literal -1/2 binary64))
(- (* im (- (* im (- (* -1/12 im) 1/4)) 1/2)) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/12 binary64) im #s(literal -1/4 binary64)) im #s(literal -1/2 binary64)) im #s(literal -1/2 binary64))
(- (* -1 im) 1)
(-.f64 #s(literal -1 binary64) im)
(- (* im (- (* -1/2 im) 1)) 1)
(fma.f64 (fma.f64 #s(literal -1/2 binary64) im #s(literal -1 binary64)) im #s(literal -1 binary64))
(- (* im (- (* im (- (* -1/6 im) 1/2)) 1)) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal -1/2 binary64)) im #s(literal -1 binary64)) im #s(literal -1 binary64))
(+ 1 im)
(-.f64 im #s(literal -1 binary64))
(+ 1 (* im (+ 1 (* 1/2 im))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64))
-1/60
#s(literal -1/60 binary64)
(- (* -1/2520 (pow im 2)) 1/60)
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
-1/3
#s(literal -1/3 binary64)
(- (* -1/60 (pow im 2)) 1/3)
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
(- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)
(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
-2
#s(literal -2 binary64)
(- (* -1/3 (pow im 2)) 2)
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
(- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)
(fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64))
(+ (* -1/2 (* im (cos re))) (* 1/2 (cos re)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) im #s(literal 1/2 binary64)))
(+ (* 1/2 (cos re)) (* im (+ (* -1/2 (cos re)) (* -1/2 (* im (+ (* -1 (cos re)) (* 1/2 (cos re))))))))
(.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) im #s(literal 1 binary64)) (cos.f64 re)) im (neg.f64 (cos.f64 re))))
(+ (* 1/2 (cos re)) (* im (+ (* -1/2 (cos re)) (* im (+ (* -1/2 (* im (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/2 (cos re)) (* 1/6 (cos re)))))) (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))))))))
(fma.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) im #s(literal 1/2 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 (cos.f64 re) im) (.f64 #s(literal 1/4 binary64) (cos.f64 re))) im) im))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* (+ 1/2 (* -1/4 (pow re 2))) (- (exp (neg im)) (exp im)))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* -1/2 (exp im))
(*.f64 #s(literal -1/2 binary64) (exp.f64 im))
(* -1 (exp im))
(neg.f64 (exp.f64 im))
(exp im)
(exp.f64 im)
(* -1/2520 (pow im 2))
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
(* -1/2520 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/2520 binary64))
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(.f64 (fma.f64 (/.f64 #s(literal 1/60 binary64) (.f64 im im)) #s(literal -1 binary64) #s(literal -1/2520 binary64)) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 im im)) #s(literal -1/60 binary64)) im) im) #s(literal 1/2520 binary64)) (pow.f64 im #s(literal 4 binary64)))
(* -1/60 (pow im 2))
(.f64 #s(literal -1/60 binary64) (.f64 im im))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
(* -1/60 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/60 binary64))
(* -1 (* (pow im 4) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 im im)) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60))
(.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (.f64 im im)) #s(literal -1/3 binary64)) im) im) #s(literal 1/60 binary64)) (pow.f64 im #s(literal 4 binary64)))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* (+ 1/2 (* -1/4 (pow re 2))) (- (exp (* -1 im)) (exp im)))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite238.0ms (2.4%)

Memory

15.0MiB live, 295.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	256
0	79	250
1	280	245
2	1778	245
0	8544	245

Stop Event

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

Counts

23 → 507

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(cos.f64 re)
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(*.f64 (neg.f64 (cos.f64 re)) im)
(neg.f64 (cos.f64 re))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
(fma.f64 (.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re) (/.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(*.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64))
(neg.f64 (exp.f64 im))
(exp.f64 im)
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
(fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))

Outputs
(.f64 (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #s(literal 1/2 binary64)) (cos.f64 re))
(.f64 (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (cos.f64 re)) #s(literal 1/2 binary64))
(.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))))
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (cos.f64 re)))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(cos.f64 re)
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 im) (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(*.f64 (neg.f64 (cos.f64 re)) im)
(*.f64 im (neg.f64 (cos.f64 re)))
(*.f64 (cos.f64 re) (neg.f64 im))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 im (cos.f64 re)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 im (cos.f64 re)) (.f64 im (cos.f64 re)) (.f64 #s(literal 0 binary64) (*.f64 im (cos.f64 re))))))
(neg.f64 (*.f64 im (cos.f64 re)))
(-.f64 #s(literal 0 binary64) (*.f64 im (cos.f64 re)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (cos.f64 re))))
(.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 re) (cos.f64 re) (.f64 #s(literal 0 binary64) (cos.f64 re))))))
(*.f64 #s(literal -1 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (cos.f64 re)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (neg.f64 (cos.f64 re)) (neg.f64 (cos.f64 re))) (.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 re))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (cos.f64 re))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 re) (cos.f64 re) (*.f64 #s(literal 0 binary64) (cos.f64 re))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (cos.f64 re)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 re) (cos.f64 re) (*.f64 #s(literal 0 binary64) (cos.f64 re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (cos.f64 re)) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 re) (cos.f64 re) (*.f64 #s(literal 0 binary64) (cos.f64 re)))) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64)))))
(neg.f64 (cos.f64 re))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (cos.f64 re))) (/.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (cos.f64 re))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 re) (cos.f64 re) (.f64 #s(literal 0 binary64) (cos.f64 re))))) (/.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 re) (cos.f64 re) (.f64 #s(literal 0 binary64) (cos.f64 re))))))
(-.f64 #s(literal 0 binary64) (cos.f64 re))
(+.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 re)))
(.f64 (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #s(literal 1/2 binary64)) (cos.f64 re))
(.f64 (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (cos.f64 re)) #s(literal 1/2 binary64))
(.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (cos.f64 re)))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 (.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/8 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (pow.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/8 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal 1/2 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (pow.f64 (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (pow.f64 (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/64 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/8 binary64))) (pow.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/8 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))))
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(pow.f64 (/.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cos.f64 re)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1 binary64))) (neg.f64 (exp.f64 im)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))) (neg.f64 (neg.f64 (neg.f64 (exp.f64 im)))))
(/.f64 (neg.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (exp.f64 im)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1 binary64)) (exp.f64 im))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))) (neg.f64 (neg.f64 (exp.f64 im))))
(/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 im))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cos.f64 re))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (neg.f64 (exp.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 im) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 im) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cos.f64 re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cos.f64 re)))
(/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (exp.f64 im)))
(neg.f64 (*.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 im))) (*.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cos.f64 re))) #s(literal -1 binary64)))

eval84.0ms (0.8%)

Memory: 28.8MiB live, 181.6MiB allocated
Compiler: Compiled 22 708 to 2 640 computations (88.4% saved)

prune53.0ms (0.5%)

Memory

-7.7MiB live, 73.2MiB allocated

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	627	19	646
Fresh	2	2	4
Picked	4	1	5
Done	0	0	0
Total	633	22	655

Accuracy

100.0%

Counts

655 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.1%	(fma.f64 (.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re) (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))
	53.1%	(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
	91.8%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
▶	91.8%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	57.2%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	57.0%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	55.0%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
▶	3.6%	#s(approx (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) #s(literal 0 binary64))
	2.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (neg.f64 (exp.f64 im))))))
	52.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 re) (cos.f64 re) (.f64 #s(literal 0 binary64) (cos.f64 re))))) im))
	39.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
	52.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 re) (cos.f64 re) (*.f64 #s(literal 0 binary64) (cos.f64 re)))))) im))
▶	52.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (cos.f64 re)))) im))
▶	84.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
✓	52.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
	38.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
	35.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
	36.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
	59.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)))
▶	56.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im)))
	35.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 (.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
	28.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))

Compiler

Compiled 1 292 to 925 computations (28.4% saved)

simplify176.0ms (1.7%)

Memory

18.3MiB live, 207.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (cos.f64 re)))) im))
cost-diff	64	(-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))
cost-diff	192	(+.f64 #s(literal 0 binary64) (cos.f64 re))
cost-diff	13888	(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (cos.f64 re))))
cost-diff	0	(fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))
cost-diff	0	(cos.f64 re)
cost-diff	0	(*.f64 (cos.f64 re) im)
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
cost-diff	0	(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))
cost-diff	0	(.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im)
cost-diff	0	#s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im)))
cost-diff	0	#s(approx (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) #s(literal 0 binary64))
cost-diff	0	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
cost-diff	0	(cos.f64 re)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	411
0	95	392
1	181	382
2	451	382
3	1419	364
4	3452	364
5	6088	364
0	8169	364

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im)
(fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))
(*.f64 im im)
im
#s(literal -1/2520 binary64)
#s(literal -1/60 binary64)
#s(literal -1/3 binary64)
#s(literal -2 binary64)
#s(approx (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im)))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im))
(.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im)
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
#s(literal -1/3 binary64)
(*.f64 im im)
im
#s(literal -2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))
(*.f64 (cos.f64 re) im)
(cos.f64 re)
re
im
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))
(*.f64 #s(literal -1/6 binary64) im)
#s(literal -1/6 binary64)
#s(literal -1 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (cos.f64 re)))) im))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (cos.f64 re)))) im)
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (cos.f64 re))))
(-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))
#s(literal 0 binary64)
(pow.f64 (cos.f64 re) #s(literal 2 binary64))
(cos.f64 re)
re
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (cos.f64 re)))
#s(literal 1 binary64)
(+.f64 #s(literal 0 binary64) (cos.f64 re))
im

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 re)
re
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im)
(.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) im)
(fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
(*.f64 im im)
im
#s(literal -1/2520 binary64)
#s(literal -1/60 binary64)
#s(literal -1/3 binary64)
#s(literal -2 binary64)
#s(approx (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) #s(literal 0 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) im) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) im) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))))
(.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im)
(.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) im) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))
(.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
#s(literal -1/3 binary64)
(*.f64 im im)
im
#s(literal -2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im) (neg.f64 (cos.f64 re))))
(.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im) (neg.f64 (cos.f64 re)))
(*.f64 (cos.f64 re) im)
(*.f64 im (cos.f64 re))
(cos.f64 re)
re
im
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))
(*.f64 #s(literal -1/6 binary64) im)
#s(literal -1/6 binary64)
#s(literal -1 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (cos.f64 re)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 im) (cos.f64 re)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (cos.f64 re)))) im)
(*.f64 (neg.f64 im) (cos.f64 re))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (cos.f64 re))))
(neg.f64 (cos.f64 re))
(-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))
(neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)))
#s(literal 0 binary64)
(pow.f64 (cos.f64 re) #s(literal 2 binary64))
(cos.f64 re)
re
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (cos.f64 re)))
(/.f64 #s(literal 1 binary64) (cos.f64 re))
#s(literal 1 binary64)
(+.f64 #s(literal 0 binary64) (cos.f64 re))
(cos.f64 re)
im

localize330.0ms (3.3%)

Memory

-9.5MiB live, 480.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.12109375	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (cos.f64 re)))
accuracy	0.1953125	(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (cos.f64 re))))
accuracy	0.27181625976844204	(pow.f64 (cos.f64 re) #s(literal 2 binary64))
accuracy	30.15324976288508	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (cos.f64 re)))) im))
accuracy	0.05859375	(fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))
accuracy	0.1171875	(*.f64 (cos.f64 re) im)
accuracy	0.3046875	(*.f64 #s(literal -1/6 binary64) im)
accuracy	9.586192607918049	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
accuracy	0.10546875	(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
accuracy	3.5981058415735707	(.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im)
accuracy	5.071317599494357	#s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im))
accuracy	23.82501668979518	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im)))
accuracy	61.703561779166144	#s(approx (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) #s(literal 0 binary64))
accuracy	0.05859375	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
accuracy	0.078125	(fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))
accuracy	0.078125	(.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im)
accuracy	5.166149745682956	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))

Samples

104.0ms	72×	1	valid
93.0ms	55×	2	valid
79.0ms	129×	0	valid

Compiler

Compiled 731 to 125 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 206.0ms

ival-mult: 57.0ms (27.6% of total)

ival-exp: 45.0ms (21.8% of total)

ival-add: 32.0ms (15.5% of total)

adjust: 18.0ms (8.7% of total)

ival-cos: 17.0ms (8.2% of total)

const: 17.0ms (8.2% of total)

ival-sub: 7.0ms (3.4% of total)

ival-div: 6.0ms (2.9% of total)

ival-pow2: 4.0ms (1.9% of total)

ival-neg: 3.0ms (1.5% of total)

exact: 1.0ms (0.5% of total)

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

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

series33.0ms (0.3%)

Memory

2.4MiB live, 74.2MiB allocated

Counts

22 → 96

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(cos.f64 re)
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) #s(literal 0 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im)))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im))
(.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im)
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(*.f64 (cos.f64 re) im)
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (cos.f64 re))))
(+.f64 #s(literal 0 binary64) (cos.f64 re))
(-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (cos.f64 re)))) im))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im)
(fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
(*.f64 #s(literal -1/6 binary64) im)
(pow.f64 (cos.f64 re) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (cos.f64 re)))

Outputs
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(+ (* -1/2 (exp im)) (* 1/2 (/ 1 (exp im))))
(+ (* -1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (* 1/4 (exp im)) (* 1/4 (/ 1 (exp im)))))))
(+ (* -1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (+ (* 1/4 (exp im)) (* (pow re 2) (+ (* -1/48 (exp im)) (* 1/48 (/ 1 (exp im)))))) (* 1/4 (/ 1 (exp im)))))))
(+ (* -1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (+ (* 1/4 (exp im)) (* (pow re 2) (+ (* -1/48 (exp im)) (+ (* 1/48 (/ 1 (exp im))) (* (pow re 2) (- (* 1/1440 (exp im)) (* 1/1440 (/ 1 (exp im))))))))) (* 1/4 (/ 1 (exp im)))))))
(* 1/2 (* im (- (* -1/3 (pow im 2)) 2)))
(+ (* -1/4 (* im (* (pow re 2) (- (* -1/3 (pow im 2)) 2)))) (* 1/2 (* im (- (* -1/3 (pow im 2)) 2))))
(* 1/2 (- (* -1/3 (pow im 2)) 2))
(+ (* -1/4 (* (pow re 2) (- (* -1/3 (pow im 2)) 2))) (* 1/2 (- (* -1/3 (pow im 2)) 2)))
im
(+ im (* -1/2 (* im (pow re 2))))
(+ im (* (pow re 2) (+ (* -1/2 im) (* 1/24 (* im (pow re 2))))))
(+ im (* (pow re 2) (+ (* -1/2 im) (* (pow re 2) (+ (* -1/720 (* im (pow re 2))) (* 1/24 im))))))
-1
(- (* 1/2 (pow re 2)) 1)
(- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1)
(- (* (pow re 2) (+ 1/2 (* (pow re 2) (- (* 1/720 (pow re 2)) 1/24)))) 1)
(- (pow re 2) 1)
(- (* (pow re 2) (+ 1 (* -1/3 (pow re 2)))) 1)
(- (* (pow re 2) (+ 1 (* (pow re 2) (- (* 2/45 (pow re 2)) 1/3)))) 1)
(+ 1 (* -1 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/3 (pow re 2)) 1)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/3 (* -2/45 (pow re 2)))) 1)))
(+ 1 (* 1/2 (pow re 2)))
(+ 1 (* (pow re 2) (+ 1/2 (* 5/24 (pow re 2)))))
(+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 5/24 (* 61/720 (pow re 2)))))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (cos re))
(cos re)
(+ (* -1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im))))
(* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2)))))
(* -1/4 (* im (* (pow re 2) (- (* -1/3 (pow im 2)) 2))))
(* (pow re 2) (+ (* -1/4 (* im (- (* -1/3 (pow im 2)) 2))) (* 1/2 (/ (* im (- (* -1/3 (pow im 2)) 2)) (pow re 2)))))
(* -1/4 (* (pow re 2) (- (* -1/3 (pow im 2)) 2)))
(* (pow re 2) (+ (* -1/4 (- (* -1/3 (pow im 2)) 2)) (* 1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2)))))
(* im (cos re))
(* -1 (cos re))
(* -1 (pow (cos re) 2))
(pow (cos re) 2)
(/ 1 (cos re))
(* -1 (* im (cos re)))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(+ (* -1/2 (cos re)) (* 1/2 (cos re)))
(+ (* -1 (* im (cos re))) (+ (* -1/2 (cos re)) (* 1/2 (cos re))))
(+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* im (+ (* -1 (cos re)) (* im (+ (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* -1/4 (cos re))))))))
(+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* im (+ (* -1 (cos re)) (* im (+ (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/4 (cos re)) (* im (+ (* -1/2 (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/2 (cos re)) (* 1/6 (cos re))))) (* -1/12 (cos re)))))))))))
(* -2 (* im (+ 1/2 (* -1/4 (pow re 2)))))
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/3 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/60 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/60 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/2520 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))))
(* -2 (+ 1/2 (* -1/4 (pow re 2))))
(+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/3 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))))
(- (* -1/6 (pow im 2)) 1)
(* -1/60 im)
(* im (- (* -1/2520 (pow im 2)) 1/60))
-1/60
(- (* -1/2520 (pow im 2)) 1/60)
-2
(- (* -1/3 (pow im 2)) 2)
(* -1/6 im)
(- (exp (neg im)) (exp im))
(* (+ 1/2 (* -1/4 (pow re 2))) (- (exp (neg im)) (exp im)))
(* -1/3 (* (pow im 3) (+ 1/2 (* -1/4 (pow re 2)))))
(* (pow im 3) (+ (* -2 (/ (+ 1/2 (* -1/4 (pow re 2))) (pow im 2))) (* -1/3 (+ 1/2 (* -1/4 (pow re 2))))))
(* -1/3 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))
(* (pow im 2) (+ (* -2 (/ (+ 1/2 (* -1/4 (pow re 2))) (pow im 2))) (* -1/3 (+ 1/2 (* -1/4 (pow re 2))))))
(* -1/6 (pow im 2))
(* -1 (* (pow im 2) (+ 1/6 (/ 1 (pow im 2)))))
(* -1/2520 (pow im 3))
(* -1 (* (pow im 3) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 2))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/3 (pow im 2))
(* -1 (* (pow im 2) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* (+ 1/2 (* -1/4 (pow re 2))) (- (exp (* -1 im)) (exp im)))
(* -1 (* (pow im 3) (+ (* 1/3 (+ 1/2 (* -1/4 (pow re 2)))) (* 2 (/ (+ 1/2 (* -1/4 (pow re 2))) (pow im 2))))))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	im	@	inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) im) (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) im) (+ (* (* -1/6 im) im) -1) (* (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (+ 0 (cos re)) (- 0 (pow (cos re) 2)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* im im) -1/2520) -1/60) im) (+ (* (* im im) -1/2520) -1/60) (+ (* -1/3 (* im im)) -2) (* -1/6 im) (pow (cos re) 2) (/ 1 (+ 0 (cos re))))
4.0ms	im	@	-inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) im) (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) im) (+ (* (* -1/6 im) im) -1) (* (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (+ 0 (cos re)) (- 0 (pow (cos re) 2)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* im im) -1/2520) -1/60) im) (+ (* (* im im) -1/2520) -1/60) (+ (* -1/3 (* im im)) -2) (* -1/6 im) (pow (cos re) 2) (/ 1 (+ 0 (cos re))))
3.0ms	re	@	inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) im) (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) im) (+ (* (* -1/6 im) im) -1) (* (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (+ 0 (cos re)) (- 0 (pow (cos re) 2)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* im im) -1/2520) -1/60) im) (+ (* (* im im) -1/2520) -1/60) (+ (* -1/3 (* im im)) -2) (* -1/6 im) (pow (cos re) 2) (/ 1 (+ 0 (cos re))))
3.0ms	re	@	-inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) im) (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) im) (+ (* (* -1/6 im) im) -1) (* (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (+ 0 (cos re)) (- 0 (pow (cos re) 2)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* im im) -1/2520) -1/60) im) (+ (* (* im im) -1/2520) -1/60) (+ (* -1/3 (* im im)) -2) (* -1/6 im) (pow (cos re) 2) (/ 1 (+ 0 (cos re))))
3.0ms	re	@	0	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) im) (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) im) (+ (* (* -1/6 im) im) -1) (* (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (+ 0 (cos re)) (- 0 (pow (cos re) 2)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* im im) -1/2520) -1/60) im) (+ (* (* im im) -1/2520) -1/60) (+ (* -1/3 (* im im)) -2) (* -1/6 im) (pow (cos re) 2) (/ 1 (+ 0 (cos re))))

simplify209.0ms (2.1%)

Memory

-28.6MiB live, 290.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	331	1376
1	1031	1238
2	3599	1148
0	8428	1036

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 95

Calls

Call 1

Inputs
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(+ (* -1/2 (exp im)) (* 1/2 (/ 1 (exp im))))
(+ (* -1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (* 1/4 (exp im)) (* 1/4 (/ 1 (exp im)))))))
(+ (* -1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (+ (* 1/4 (exp im)) (* (pow re 2) (+ (* -1/48 (exp im)) (* 1/48 (/ 1 (exp im)))))) (* 1/4 (/ 1 (exp im)))))))
(+ (* -1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (+ (* 1/4 (exp im)) (* (pow re 2) (+ (* -1/48 (exp im)) (+ (* 1/48 (/ 1 (exp im))) (* (pow re 2) (- (* 1/1440 (exp im)) (* 1/1440 (/ 1 (exp im))))))))) (* 1/4 (/ 1 (exp im)))))))
(* 1/2 (* im (- (* -1/3 (pow im 2)) 2)))
(+ (* -1/4 (* im (* (pow re 2) (- (* -1/3 (pow im 2)) 2)))) (* 1/2 (* im (- (* -1/3 (pow im 2)) 2))))
(* 1/2 (- (* -1/3 (pow im 2)) 2))
(+ (* -1/4 (* (pow re 2) (- (* -1/3 (pow im 2)) 2))) (* 1/2 (- (* -1/3 (pow im 2)) 2)))
im
(+ im (* -1/2 (* im (pow re 2))))
(+ im (* (pow re 2) (+ (* -1/2 im) (* 1/24 (* im (pow re 2))))))
(+ im (* (pow re 2) (+ (* -1/2 im) (* (pow re 2) (+ (* -1/720 (* im (pow re 2))) (* 1/24 im))))))
-1
(- (* 1/2 (pow re 2)) 1)
(- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1)
(- (* (pow re 2) (+ 1/2 (* (pow re 2) (- (* 1/720 (pow re 2)) 1/24)))) 1)
(- (pow re 2) 1)
(- (* (pow re 2) (+ 1 (* -1/3 (pow re 2)))) 1)
(- (* (pow re 2) (+ 1 (* (pow re 2) (- (* 2/45 (pow re 2)) 1/3)))) 1)
(+ 1 (* -1 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/3 (pow re 2)) 1)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/3 (* -2/45 (pow re 2)))) 1)))
(+ 1 (* 1/2 (pow re 2)))
(+ 1 (* (pow re 2) (+ 1/2 (* 5/24 (pow re 2)))))
(+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 5/24 (* 61/720 (pow re 2)))))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (cos re))
(cos re)
(+ (* -1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im))))
(* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2)))))
(* -1/4 (* im (* (pow re 2) (- (* -1/3 (pow im 2)) 2))))
(* (pow re 2) (+ (* -1/4 (* im (- (* -1/3 (pow im 2)) 2))) (* 1/2 (/ (* im (- (* -1/3 (pow im 2)) 2)) (pow re 2)))))
(* -1/4 (* (pow re 2) (- (* -1/3 (pow im 2)) 2)))
(* (pow re 2) (+ (* -1/4 (- (* -1/3 (pow im 2)) 2)) (* 1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2)))))
(* im (cos re))
(* -1 (cos re))
(* -1 (pow (cos re) 2))
(pow (cos re) 2)
(/ 1 (cos re))
(* -1 (* im (cos re)))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(+ (* -1/2 (cos re)) (* 1/2 (cos re)))
(+ (* -1 (* im (cos re))) (+ (* -1/2 (cos re)) (* 1/2 (cos re))))
(+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* im (+ (* -1 (cos re)) (* im (+ (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* -1/4 (cos re))))))))
(+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* im (+ (* -1 (cos re)) (* im (+ (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/4 (cos re)) (* im (+ (* -1/2 (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/2 (cos re)) (* 1/6 (cos re))))) (* -1/12 (cos re)))))))))))
(* -2 (* im (+ 1/2 (* -1/4 (pow re 2)))))
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/3 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/60 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/60 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/2520 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))))
(* -2 (+ 1/2 (* -1/4 (pow re 2))))
(+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/3 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))))
(- (* -1/6 (pow im 2)) 1)
(* -1/60 im)
(* im (- (* -1/2520 (pow im 2)) 1/60))
-1/60
(- (* -1/2520 (pow im 2)) 1/60)
-2
(- (* -1/3 (pow im 2)) 2)
(* -1/6 im)
(- (exp (neg im)) (exp im))
(* (+ 1/2 (* -1/4 (pow re 2))) (- (exp (neg im)) (exp im)))
(* -1/3 (* (pow im 3) (+ 1/2 (* -1/4 (pow re 2)))))
(* (pow im 3) (+ (* -2 (/ (+ 1/2 (* -1/4 (pow re 2))) (pow im 2))) (* -1/3 (+ 1/2 (* -1/4 (pow re 2))))))
(* -1/3 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))
(* (pow im 2) (+ (* -2 (/ (+ 1/2 (* -1/4 (pow re 2))) (pow im 2))) (* -1/3 (+ 1/2 (* -1/4 (pow re 2))))))
(* -1/6 (pow im 2))
(* -1 (* (pow im 2) (+ 1/6 (/ 1 (pow im 2)))))
(* -1/2520 (pow im 3))
(* -1 (* (pow im 3) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 2))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/3 (pow im 2))
(* -1 (* (pow im 2) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* (+ 1/2 (* -1/4 (pow re 2))) (- (exp (* -1 im)) (exp im)))
(* -1 (* (pow im 3) (+ (* 1/3 (+ 1/2 (* -1/4 (pow re 2)))) (* 2 (/ (+ 1/2 (* -1/4 (pow re 2))) (pow im 2))))))

Outputs
(* 1/2 (- (exp (neg im)) (exp im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (+.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 re re) (.f64 #s(literal 1/48 binary64) (.f64 re re)))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow re 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(+ (* -1/2 (exp im)) (* 1/2 (/ 1 (exp im))))
(fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+ (* -1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (* 1/4 (exp im)) (* 1/4 (/ 1 (exp im)))))))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) (exp.f64 im) (/.f64 #s(literal -1/4 binary64) (exp.f64 im))) (*.f64 re re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(+ (* -1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (+ (* 1/4 (exp im)) (* (pow re 2) (+ (* -1/48 (exp im)) (* 1/48 (/ 1 (exp im)))))) (* 1/4 (/ 1 (exp im)))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (exp.f64 im) (/.f64 #s(literal 1/48 binary64) (exp.f64 im))) re) re (fma.f64 #s(literal 1/4 binary64) (exp.f64 im) (/.f64 #s(literal -1/4 binary64) (exp.f64 im)))) (.f64 re re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(+ (* -1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (+ (* 1/4 (exp im)) (* (pow re 2) (+ (* -1/48 (exp im)) (+ (* 1/48 (/ 1 (exp im))) (* (pow re 2) (- (* 1/1440 (exp im)) (* 1/1440 (/ 1 (exp im))))))))) (* 1/4 (/ 1 (exp im)))))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (exp.f64 im) (/.f64 #s(literal -1/1440 binary64) (exp.f64 im))) (.f64 re re) (fma.f64 #s(literal -1/48 binary64) (exp.f64 im) (/.f64 #s(literal 1/48 binary64) (exp.f64 im)))) (.f64 re re) (fma.f64 #s(literal 1/4 binary64) (exp.f64 im) (/.f64 #s(literal -1/4 binary64) (exp.f64 im)))) (*.f64 re re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* im (- (* -1/3 (pow im 2)) 2)))
(.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im) #s(literal 1/2 binary64))
(+ (* -1/4 (* im (* (pow re 2) (- (* -1/3 (pow im 2)) 2)))) (* 1/2 (* im (- (* -1/3 (pow im 2)) 2))))
(.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(* 1/2 (- (* -1/3 (pow im 2)) 2))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (- (* -1/3 (pow im 2)) 2))) (* 1/2 (- (* -1/3 (pow im 2)) 2)))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
im
(+ im (* -1/2 (* im (pow re 2))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)) im)
(+ im (* (pow re 2) (+ (* -1/2 im) (* 1/24 (* im (pow re 2))))))
(fma.f64 (.f64 im (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64))) (*.f64 re re) im)
(+ im (* (pow re 2) (+ (* -1/2 im) (* (pow re 2) (+ (* -1/720 (* im (pow re 2))) (* 1/24 im))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)) im))
-1
#s(literal -1 binary64)
(- (* 1/2 (pow re 2)) 1)
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1)
(fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))
(- (* (pow re 2) (+ 1/2 (* (pow re 2) (- (* 1/720 (pow re 2)) 1/24)))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))
(- (pow re 2) 1)
(fma.f64 re re #s(literal -1 binary64))
(- (* (pow re 2) (+ 1 (* -1/3 (pow re 2)))) 1)
(fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/3 binary64) (fma.f64 re re #s(literal -1 binary64)))
(- (* (pow re 2) (+ 1 (* (pow re 2) (- (* 2/45 (pow re 2)) 1/3)))) 1)
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 #s(literal 2/45 binary64) (*.f64 re re) #s(literal -1/3 binary64)) (fma.f64 re re #s(literal -1 binary64)))
(+ 1 (* -1 (pow re 2)))
(-.f64 #s(literal 1 binary64) (*.f64 re re))
(+ 1 (* (pow re 2) (- (* 1/3 (pow re 2)) 1)))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 re re) #s(literal -1 binary64)) (.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/3 (* -2/45 (pow re 2)))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 re re) #s(literal 1/3 binary64)) (.f64 re re) #s(literal -1 binary64)) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (* 1/2 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (+ 1/2 (* 5/24 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 5/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 5/24 (* 61/720 (pow re 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 61/720 binary64) (.f64 re re) #s(literal 5/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64))
(* 1/2 (cos re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(cos re)
(cos.f64 re)
(+ (* -1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im))))
(.f64 (.f64 (*.f64 re re) #s(literal -1/4 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2)))))
(.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal -1/4 binary64))) (.f64 re re))
(* -1/4 (* im (* (pow re 2) (- (* -1/3 (pow im 2)) 2))))
(.f64 (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im) #s(literal -1/4 binary64)) re) re)
(* (pow re 2) (+ (* -1/4 (* im (- (* -1/3 (pow im 2)) 2))) (* 1/2 (/ (* im (- (* -1/3 (pow im 2)) 2)) (pow re 2)))))
(.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal -1/4 binary64))) (.f64 re re))
(* -1/4 (* (pow re 2) (- (* -1/3 (pow im 2)) 2)))
(.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re)
(* (pow re 2) (+ (* -1/4 (- (* -1/3 (pow im 2)) 2)) (* 1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2)))))
(.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal -1/4 binary64))) (*.f64 re re))
(* im (cos re))
(*.f64 (cos.f64 re) im)
(* -1 (cos re))
(neg.f64 (cos.f64 re))
(* -1 (pow (cos re) 2))
(neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)))
(pow (cos re) 2)
(pow.f64 (cos.f64 re) #s(literal 2 binary64))
(/ 1 (cos re))
(/.f64 #s(literal 1 binary64) (cos.f64 re))
(* -1 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(.f64 (fma.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64))) (.f64 im im) (neg.f64 (cos.f64 re))) im)
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (cos.f64 re) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64))) (.f64 (cos.f64 re) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im)
(* -2 im)
(*.f64 #s(literal -2 binary64) im)
(* im (- (* -1/3 (pow im 2)) 2))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(+ (* -1/2 (cos re)) (* 1/2 (cos re)))
#s(literal 0 binary64)
(+ (* -1 (* im (cos re))) (+ (* -1/2 (cos re)) (* 1/2 (cos re))))
(*.f64 (neg.f64 (cos.f64 re)) im)
(+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* im (+ (* -1 (cos re)) (* im (+ (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* -1/4 (cos re))))))))
(*.f64 (fma.f64 #s(literal 0 binary64) im (neg.f64 (cos.f64 re))) im)
(+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* im (+ (* -1 (cos re)) (* im (+ (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/4 (cos re)) (* im (+ (* -1/2 (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/2 (cos re)) (* 1/6 (cos re))))) (* -1/12 (cos re)))))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/12 binary64) (cos.f64 re) (.f64 #s(literal -1/12 binary64) (cos.f64 re))) im #s(literal 0 binary64)) im (neg.f64 (cos.f64 re))) im)
(* -2 (* im (+ 1/2 (* -1/4 (pow re 2)))))
(.f64 (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im)
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/3 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))
(.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64))) im)
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/60 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64))) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im))
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/60 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/2520 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))))
(.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)))) im)
(* -2 (+ 1/2 (* -1/4 (pow re 2))))
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))
(+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/3 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)))
(- (* -1/6 (pow im 2)) 1)
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))
(* -1/60 im)
(*.f64 #s(literal -1/60 binary64) im)
(* im (- (* -1/2520 (pow im 2)) 1/60))
(.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) im)
-1/60
#s(literal -1/60 binary64)
(- (* -1/2520 (pow im 2)) 1/60)
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
-2
#s(literal -2 binary64)
(- (* -1/3 (pow im 2)) 2)
(fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64))
(* -1/6 im)
(*.f64 #s(literal -1/6 binary64) im)
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* (+ 1/2 (* -1/4 (pow re 2))) (- (exp (neg im)) (exp im)))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* -1/3 (* (pow im 3) (+ 1/2 (* -1/4 (pow re 2)))))
(.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/12 binary64) (.f64 re re) #s(literal -1/6 binary64)))
(* (pow im 3) (+ (* -2 (/ (+ 1/2 (* -1/4 (pow re 2))) (pow im 2))) (* -1/3 (+ 1/2 (* -1/4 (pow re 2))))))
(.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) (.f64 im im)) #s(literal -1/3 binary64))) (pow.f64 im #s(literal 3 binary64)))
(* -1/3 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 re re) #s(literal -1/6 binary64)) im) im)
(* (pow im 2) (+ (* -2 (/ (+ 1/2 (* -1/4 (pow re 2))) (pow im 2))) (* -1/3 (+ 1/2 (* -1/4 (pow re 2))))))
(.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) (.f64 im im)) #s(literal -1/3 binary64))) (*.f64 im im))
(* -1/6 (pow im 2))
(.f64 #s(literal -1/6 binary64) (.f64 im im))
(* -1 (* (pow im 2) (+ 1/6 (/ 1 (pow im 2)))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))
(* -1/2520 (pow im 3))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/2520 binary64))
(* -1 (* (pow im 3) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) im)
(* -1/2520 (pow im 2))
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
(* -1/3 (pow im 2))
(.f64 (.f64 im im) #s(literal -1/3 binary64))
(* -1 (* (pow im 2) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* (+ 1/2 (* -1/4 (pow re 2))) (- (exp (* -1 im)) (exp im)))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* -1 (* (pow im 3) (+ (* 1/3 (+ 1/2 (* -1/4 (pow re 2)))) (* 2 (/ (+ 1/2 (* -1/4 (pow re 2))) (pow im 2))))))
(.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) (.f64 im im)) #s(literal -1/3 binary64))) (pow.f64 im #s(literal 3 binary64)))

rewrite215.0ms (2.1%)

Memory

6.0MiB live, 319.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	298
0	95	278
1	354	263
2	2578	263
0	8862	263

Stop Event

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

Counts

22 → 1 018

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(cos.f64 re)
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) #s(literal 0 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im)))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im))
(.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im)
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(*.f64 (cos.f64 re) im)
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (cos.f64 re))))
(+.f64 #s(literal 0 binary64) (cos.f64 re))
(-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (cos.f64 re)))) im))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im)
(fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
(*.f64 #s(literal -1/6 binary64) im)
(pow.f64 (cos.f64 re) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (cos.f64 re)))

Outputs
(.f64 (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #s(literal 1/2 binary64)) (cos.f64 re))
(.f64 (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (cos.f64 re)) #s(literal 1/2 binary64))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))))
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (cos.f64 re)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) (neg.f64 (cos.f64 re)))) (/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (pow.f64 (cos.f64 re) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (cos.f64 re) #s(literal -1 binary64)) (cos.f64 re))) (cos.f64 re))
(*.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (pow.f64 (cos.f64 re) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 re) #s(literal -1 binary64))) (.f64 (pow.f64 (cos.f64 re) #s(literal -1 binary64)) (cos.f64 re)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (cos.f64 re)))
(.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) (neg.f64 (cos.f64 re)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))))
(.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (.f64 (pow.f64 (cos.f64 re) #s(literal -1 binary64)) (cos.f64 re))) (/.f64 #s(literal 1/2 binary64) (neg.f64 (cos.f64 re))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (neg.f64 (cos.f64 re))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (pow.f64 (cos.f64 re) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (cos.f64 re)) (/.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 (.f64 (pow.f64 (cos.f64 re) #s(literal -1 binary64)) (cos.f64 re)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 re) #s(literal -1 binary64))))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (cos.f64 re)))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64)))) (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))))) (cos.f64 re))
(/.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (cos.f64 re))
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(*.f64 (/.f64 (cos.f64 re) (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (pow.f64 (cos.f64 re) #s(literal -1 binary64))))
(*.f64 (neg.f64 (cos.f64 re)) (neg.f64 (cos.f64 re)))
(*.f64 (pow.f64 (cos.f64 re) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cos.f64 re) #s(literal 6 binary64)) (pow.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cos.f64 re) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 re) #s(literal 4 binary64)) (cos.f64 re)))
(*.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (/.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (pow.f64 (cos.f64 re) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (cos.f64 re) (/.f64 (pow.f64 (cos.f64 re) #s(literal 4 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(*.f64 (cos.f64 re) (cos.f64 re))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cos.f64 re)))
(pow.f64 (neg.f64 (cos.f64 re)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cos.f64 re) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (cos.f64 re))) (cos.f64 re))
(/.f64 (neg.f64 (*.f64 (cos.f64 re) (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))))) (cos.f64 re))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 re) #s(literal 6 binary64)) #s(literal 0 binary64))) (neg.f64 (pow.f64 (cos.f64 re) #s(literal 4 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (cos.f64 re) #s(literal 4 binary64)) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))))) (pow.f64 (cos.f64 re) #s(literal 3 binary64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (pow.f64 (cos.f64 re) #s(literal 3 binary64)))) (pow.f64 (cos.f64 re) #s(literal 3 binary64)))
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 re) #s(literal 4 binary64)) #s(literal 0 binary64))) (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (cos.f64 re)) (neg.f64 (cos.f64 re)))
(/.f64 (*.f64 (cos.f64 re) (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)))) (neg.f64 (cos.f64 re)))
(/.f64 (-.f64 (pow.f64 (cos.f64 re) #s(literal 4 binary64)) #s(literal 0 binary64)) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (cos.f64 re) #s(literal 6 binary64)) #s(literal 0 binary64)) (pow.f64 (cos.f64 re) #s(literal 4 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (cos.f64 re) #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)))))
(/.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (cos.f64 re)) #s(literal 3 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (pow.f64 (neg.f64 (cos.f64 re)) #s(literal 3 binary64)))
(/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 6 binary64))) (neg.f64 (pow.f64 (cos.f64 re) #s(literal 4 binary64))))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal 2 binary64))
(/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 4 binary64))) (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))))
(/.f64 (pow.f64 (cos.f64 re) #s(literal 4 binary64)) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))
(/.f64 (pow.f64 (cos.f64 re) #s(literal 6 binary64)) (pow.f64 (cos.f64 re) #s(literal 4 binary64)))
(fma.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) (neg.f64 (cos.f64 re)))) (/.f64 (cos.f64 re) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 re) #s(literal -1 binary64)) (cos.f64 re))) (/.f64 (cos.f64 re) (neg.f64 (cos.f64 re))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cos.f64 re) (neg.f64 (cos.f64 re))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (cos.f64 re) (cos.f64 re)) #s(literal 0 binary64))
(fma.f64 (/.f64 (cos.f64 re) (*.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) (neg.f64 (cos.f64 re)))) (/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (cos.f64 re) (*.f64 (pow.f64 (cos.f64 re) #s(literal -1 binary64)) (cos.f64 re))) (cos.f64 re) #s(literal 0 binary64))
(fma.f64 (/.f64 (cos.f64 re) (pow.f64 (cos.f64 re) #s(literal -1 binary64))) (*.f64 (pow.f64 (cos.f64 re) #s(literal -1 binary64)) (cos.f64 re)) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (pow.f64 (cos.f64 re) #s(literal -1 binary64))) (/.f64 (cos.f64 re) (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (cos.f64 re) (cos.f64 re)) (/.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (cos.f64 re)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (cos.f64 re)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (cos.f64 re)) (/.f64 (cos.f64 re) (cos.f64 re)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (cos.f64 re)) (/.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (cos.f64 re) #s(literal 4 binary64)) (cos.f64 re)) (pow.f64 (cos.f64 re) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (pow.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (cos.f64 re) #s(literal 4 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (cos.f64 re) #s(literal 0 binary64))
(fma.f64 (/.f64 (cos.f64 re) #s(literal -1 binary64)) (neg.f64 (cos.f64 re)) #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal -1 binary64)) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 (cos.f64 re) #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (cos.f64 re) (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (pow.f64 (cos.f64 re) #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (cos.f64 re)) (neg.f64 (cos.f64 re)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cos.f64 re) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 re)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cos.f64 re) #s(literal 6 binary64)) (pow.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cos.f64 re) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 re) #s(literal 4 binary64)) (cos.f64 re)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (/.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (cos.f64 re) (/.f64 (pow.f64 (cos.f64 re) #s(literal 4 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (cos.f64 re) (cos.f64 re) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 re) #s(literal 4 binary64)) (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)))))
(-.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))))
(-.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 4 binary64))))
(-.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal 0 binary64))
(exp.f64 (-.f64 (fma.f64 (log.f64 (cos.f64 re)) #s(literal 2 binary64) (log.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)))) (log.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)))))
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (log.f64 (cos.f64 re)) #s(literal 2 binary64) (log.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))))
(+.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 re re))))
(*.f64 (/.f64 (cos.f64 re) (pow.f64 (cos.f64 re) #s(literal 3/2 binary64))) (/.f64 (cos.f64 re) (pow.f64 (cos.f64 re) #s(literal 3/2 binary64))))
(*.f64 (/.f64 (cos.f64 re) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (/.f64 (cos.f64 re) (cos.f64 re)))
(*.f64 (/.f64 (cos.f64 re) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 (cos.f64 re) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 re)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (cos.f64 re)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cos.f64 re) #s(literal -3 binary64)) (pow.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cos.f64 re) #s(literal -3 binary64)) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 re)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (cos.f64 re)))
(*.f64 (pow.f64 (cos.f64 re) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cos.f64 re) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 re) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 re)))
(pow.f64 (pow.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (cos.f64 re) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 re))
(/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (pow.f64 (neg.f64 (cos.f64 re)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 re)))
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 re)))
(-.f64 (pow.f64 (cos.f64 re) #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(exp.f64 (-.f64 (log.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (log.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 re))))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal -1 binary64)))

eval299.0ms (3%)

Memory: 6.0MiB live, 448.4MiB allocated
Compiler: Compiled 56 336 to 6 295 computations (88.8% saved)

prune77.0ms (0.8%)

Memory

6.3MiB live, 167.0MiB allocated

Pruning

34 alts after pruning (31 fresh and 3 done)

	Pruned	Kept	Total
New	1 414	21	1 435
Fresh	6	10	16
Picked	3	2	5
Done	0	1	1
Total	1 423	34	1 457

Accuracy

100.0%

Counts

1 457 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.1%	(fma.f64 (.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re) (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))
▶	53.1%	(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
	91.8%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
▶	91.8%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
▶	57.2%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	57.0%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	57.0%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	55.0%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
✓	3.6%	#s(approx (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) #s(literal 0 binary64))
	2.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (neg.f64 (exp.f64 im))))))
	52.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (pow.f64 (neg.f64 (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) im))
	84.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (/.f64 (.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) im) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
	84.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (/.f64 (.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) im) (neg.f64 (cos.f64 re))) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
	52.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 6 binary64))) (pow.f64 (cos.f64 re) #s(literal 5 binary64))) im))
	39.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
	60.1%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (pow.f64 (sqrt.f64 (cos.f64 re)) #s(literal 2 binary64)) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
	84.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (pow.f64 (cos.f64 re) #s(literal -1 binary64))) (/.f64 im (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
	84.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 im (cos.f64 re))) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
	84.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 re) #s(literal -1 binary64))) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
	52.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 re re))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (cos.f64 re)))) im))
✓	84.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
	51.6%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
✓	52.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
	38.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
	35.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
	36.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
	59.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)))) im)))
	51.6%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))) im)))
	44.1%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) (.f64 im im)) #s(literal -1/3 binary64))) (*.f64 im im))) im)))
	33.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 re re) #s(literal -1/6 binary64)) im) im)) im)))
▶	14.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re)) im)))
	36.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) im) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal -1/4 binary64))) (.f64 re re)))))
	35.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 (.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
▶	28.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))

Compiler

Compiled 2 284 to 1 609 computations (29.6% saved)

simplify161.0ms (1.6%)

Memory

17.6MiB live, 172.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 im)
cost-diff	0	(exp.f64 (neg.f64 im))
cost-diff	0	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
cost-diff	0	(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64)))
cost-diff	0	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
cost-diff	0	(.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re)) im)
cost-diff	0	#s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re)) im))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re)) im)))
cost-diff	320	(.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64))
cost-diff	0	(neg.f64 im)
cost-diff	0	#s(approx (* (neg (cos re)) im) (neg.f64 im))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
cost-diff	0	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
cost-diff	0	(cos.f64 re)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	573
0	108	563
1	199	563
2	368	556
3	855	556
4	1868	556
5	3060	556
6	4171	556
7	5365	556
8	6609	556
9	7063	556
10	7794	556
0	8336	543

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64))
(.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im)
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64))
(*.f64 #s(literal -1/2520 binary64) im)
#s(literal -1/2520 binary64)
im
#s(literal -1/60 binary64)
#s(literal -1/3 binary64)
(*.f64 im im)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (neg (cos re)) im) (neg.f64 im))
(neg.f64 im)
im
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re)) im)))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re)) im))
(.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re)) im)
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re))
(.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re)
(.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re)
(.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64))
(*.f64 im im)
im
#s(literal -1/3 binary64)
#s(literal -2 binary64)
#s(literal -1/4 binary64)
re
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))
#s(literal 1/48 binary64)
(*.f64 re re)
re
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
#s(literal -1/2520 binary64)
(*.f64 im im)
im
#s(literal -1/60 binary64)
#s(literal -1/3 binary64)
#s(literal -2 binary64)
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(cos.f64 re)
re
#s(literal 1/2 binary64)

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 re)
re
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64))
(fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
(.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im)
(.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im)
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))
(*.f64 #s(literal -1/2520 binary64) im)
#s(literal -1/2520 binary64)
im
#s(literal -1/60 binary64)
#s(literal -1/3 binary64)
(*.f64 im im)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (neg (cos re)) im) (neg.f64 im))
(neg.f64 im)
im
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 im im) #s(literal 1/2 binary64)) re) re)) im)))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re)) im))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 im im) #s(literal 1/2 binary64)) re) re)) im))
(.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re)) im)
(.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 im im) #s(literal 1/2 binary64)) re) re)) im)
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 im im) #s(literal 1/2 binary64)) re) re))
(.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re)
(.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 im im) #s(literal 1/2 binary64)) re) re)
(.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re)
(.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 im im) #s(literal 1/2 binary64)) re)
(.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64))
(fma.f64 #s(literal 1/12 binary64) (*.f64 im im) #s(literal 1/2 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64))
(*.f64 im im)
im
#s(literal -1/3 binary64)
#s(literal -2 binary64)
#s(literal -1/4 binary64)
re
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))
(fma.f64 (*.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64))
#s(literal 1/48 binary64)
(*.f64 re re)
re
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
(fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))
#s(literal -1/2520 binary64)
(*.f64 im im)
im
#s(literal -1/60 binary64)
#s(literal -1/3 binary64)
#s(literal -2 binary64)
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)) #s(literal -1/2 binary64))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(cos.f64 re)
re
#s(literal 1/2 binary64)

localize374.0ms (3.7%)

Memory

-9.6MiB live, 631.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 im)
accuracy	0	(cos.f64 re)
accuracy	0.05859375	(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
accuracy	30.015459521697196	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
accuracy	0.078125	(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
accuracy	0.1015625	(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))
accuracy	5.166149745682956	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
accuracy	31.919744442580672	#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64)))
accuracy	4.911289488982393	(.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re)
accuracy	5.071317599494357	#s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re)) im))
accuracy	23.82501668979518	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re)) im)))
accuracy	31.300581784435924	#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re))
accuracy	0	(neg.f64 im)
accuracy	29.427253796611787	#s(approx (* (neg (cos re)) im) (neg.f64 im))
accuracy	30.15324976288508	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
accuracy	0.05859375	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
accuracy	0.0703125	(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64))
accuracy	0.078125	(.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im)
accuracy	5.166149745682956	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))

Samples

92.0ms	73×	1	valid
77.0ms	54×	2	valid
70.0ms	129×	0	valid

Compiler

Compiled 959 to 131 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-mult: 56.0ms (32.1% of total)

ival-exp: 39.0ms (22.4% of total)

ival-add: 26.0ms (14.9% of total)

const: 19.0ms (10.9% of total)

adjust: 18.0ms (10.3% of total)

ival-sub: 7.0ms (4% of total)

ival-cos: 6.0ms (3.4% of total)

ival-neg: 2.0ms (1.1% of total)

exact: 1.0ms (0.6% of total)

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

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

series25.0ms (0.2%)

Memory

6.5MiB live, 44.7MiB allocated

Counts

25 → 85

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(cos.f64 re)
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (neg (cos re)) im) (neg.f64 im))
(neg.f64 im)
(.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re)) im)))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re)) im))
(.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re)) im)
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im)
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re))
(.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re)
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
(exp.f64 im)

Outputs
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* -1 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
(* 1/2 (* im (- (* -1/3 (pow im 2)) 2)))
(+ (* -1/4 (* im (* (pow re 2) (- (* -1/3 (pow im 2)) 2)))) (* 1/2 (* im (- (* -1/3 (pow im 2)) 2))))
-1/4
(- (* 1/48 (pow re 2)) 1/4)
(* 1/2 (- (* -1/3 (pow im 2)) 2))
(+ (* -1/4 (* (pow re 2) (- (* -1/3 (pow im 2)) 2))) (* 1/2 (- (* -1/3 (pow im 2)) 2)))
(* -1/4 (* re (- (* -1/3 (pow im 2)) 2)))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (cos re))
(cos re)
(* -1 (* im (cos re)))
(* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im))))
(* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2)))))
(* -1/4 (* im (* (pow re 2) (- (* -1/3 (pow im 2)) 2))))
(* (pow re 2) (+ (* -1/4 (* im (- (* -1/3 (pow im 2)) 2))) (* 1/2 (/ (* im (- (* -1/3 (pow im 2)) 2)) (pow re 2)))))
(* 1/48 (pow re 4))
(* (pow re 4) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/48 (/ 1/2 (pow re 4))) (* 1/4 (/ 1 (pow re 2)))))
(* 1/48 (pow re 2))
(* (pow re 2) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))
(* -1/4 (* (pow re 2) (- (* -1/3 (pow im 2)) 2)))
(* (pow re 2) (+ (* -1/4 (- (* -1/3 (pow im 2)) 2)) (* 1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2)))))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(+ 1/2 (* 1/12 (pow im 2)))
(* -2 (* im (+ 1/2 (* -1/4 (pow re 2)))))
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/3 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/60 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/60 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/2520 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))))
(+ 1 (* -1 im))
(+ 1 (* im (- (* 1/2 im) 1)))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(* -1/60 im)
(* im (- (* -1/2520 (pow im 2)) 1/60))
-1/60
(- (* -1/2520 (pow im 2)) 1/60)
(* -2 (+ 1/2 (* -1/4 (pow re 2))))
(+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/3 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))))
(* 1/2 re)
(+ (* 1/12 (* (pow im 2) re)) (* 1/2 re))
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(- (exp (neg im)) (exp im))
(* 1/12 (pow im 2))
(* (pow im 2) (+ 1/12 (* 1/2 (/ 1 (pow im 2)))))
(* (+ 1/2 (* -1/4 (pow re 2))) (- (exp (neg im)) (exp im)))
(* -1/3 (* (pow im 3) (+ 1/2 (* -1/4 (pow re 2)))))
(* (pow im 3) (+ (* -2 (/ (+ 1/2 (* -1/4 (pow re 2))) (pow im 2))) (* -1/3 (+ 1/2 (* -1/4 (pow re 2))))))
(exp (neg im))
(* -1/2520 (pow im 3))
(* -1 (* (pow im 3) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 2))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/3 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))
(* (pow im 2) (+ (* -2 (/ (+ 1/2 (* -1/4 (pow re 2))) (pow im 2))) (* -1/3 (+ 1/2 (* -1/4 (pow re 2))))))
(* 1/12 (* (pow im 2) re))
(* (pow im 2) (+ (* 1/12 re) (* 1/2 (/ re (pow im 2)))))
(exp im)
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* (+ 1/2 (* -1/4 (pow re 2))) (- (exp (* -1 im)) (exp im)))
(* -1 (* (pow im 3) (+ (* 1/3 (+ 1/2 (* -1/4 (pow re 2)))) (* 2 (/ (+ 1/2 (* -1/4 (pow re 2))) (pow im 2))))))
(exp (* -1 im))

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	im	@	0	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (+ (* (* im im) -1/3) -2) -1/4) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) (+ (* 1/48 (* re re)) -1/4) (* (- (exp (neg im)) (exp im)) (* (cos re) 1/2)) (- (exp (neg im)) (exp im)) (exp (neg im)) (* (+ (* (* -1/2520 im) im) -1/60) im) (+ (* (* -1/2520 im) im) -1/60) (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (* (* (+ (* (* im im) -1/3) -2) -1/4) re) (- (exp (- 0 im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (exp im))
3.0ms	im	@	inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (+ (* (* im im) -1/3) -2) -1/4) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) (+ (* 1/48 (* re re)) -1/4) (* (- (exp (neg im)) (exp im)) (* (cos re) 1/2)) (- (exp (neg im)) (exp im)) (exp (neg im)) (* (+ (* (* -1/2520 im) im) -1/60) im) (+ (* (* -1/2520 im) im) -1/60) (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (* (* (+ (* (* im im) -1/3) -2) -1/4) re) (- (exp (- 0 im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (exp im))
3.0ms	re	@	inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (+ (* (* im im) -1/3) -2) -1/4) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) (+ (* 1/48 (* re re)) -1/4) (* (- (exp (neg im)) (exp im)) (* (cos re) 1/2)) (- (exp (neg im)) (exp im)) (exp (neg im)) (* (+ (* (* -1/2520 im) im) -1/60) im) (+ (* (* -1/2520 im) im) -1/60) (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (* (* (+ (* (* im im) -1/3) -2) -1/4) re) (- (exp (- 0 im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (exp im))
3.0ms	im	@	-inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (+ (* (* im im) -1/3) -2) -1/4) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) (+ (* 1/48 (* re re)) -1/4) (* (- (exp (neg im)) (exp im)) (* (cos re) 1/2)) (- (exp (neg im)) (exp im)) (exp (neg im)) (* (+ (* (* -1/2520 im) im) -1/60) im) (+ (* (* -1/2520 im) im) -1/60) (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (* (* (+ (* (* im im) -1/3) -2) -1/4) re) (- (exp (- 0 im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (exp im))
2.0ms	re	@	-inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (+ (* (* im im) -1/3) -2) -1/4) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) (+ (* 1/48 (* re re)) -1/4) (* (- (exp (neg im)) (exp im)) (* (cos re) 1/2)) (- (exp (neg im)) (exp im)) (exp (neg im)) (* (+ (* (* -1/2520 im) im) -1/60) im) (+ (* (* -1/2520 im) im) -1/60) (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (* (* (+ (* (* im im) -1/3) -2) -1/4) re) (- (exp (- 0 im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (exp im))

simplify185.0ms (1.8%)

Memory

-20.5MiB live, 226.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	251	1127
1	758	1018
2	2599	937
3	6410	937
0	8239	848

Stop Event

1×	iter limit
1×	node limit

Counts

85 → 85

Calls

Call 1

Inputs
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* -1 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
(* 1/2 (* im (- (* -1/3 (pow im 2)) 2)))
(+ (* -1/4 (* im (* (pow re 2) (- (* -1/3 (pow im 2)) 2)))) (* 1/2 (* im (- (* -1/3 (pow im 2)) 2))))
-1/4
(- (* 1/48 (pow re 2)) 1/4)
(* 1/2 (- (* -1/3 (pow im 2)) 2))
(+ (* -1/4 (* (pow re 2) (- (* -1/3 (pow im 2)) 2))) (* 1/2 (- (* -1/3 (pow im 2)) 2)))
(* -1/4 (* re (- (* -1/3 (pow im 2)) 2)))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (cos re))
(cos re)
(* -1 (* im (cos re)))
(* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im))))
(* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2)))))
(* -1/4 (* im (* (pow re 2) (- (* -1/3 (pow im 2)) 2))))
(* (pow re 2) (+ (* -1/4 (* im (- (* -1/3 (pow im 2)) 2))) (* 1/2 (/ (* im (- (* -1/3 (pow im 2)) 2)) (pow re 2)))))
(* 1/48 (pow re 4))
(* (pow re 4) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/48 (/ 1/2 (pow re 4))) (* 1/4 (/ 1 (pow re 2)))))
(* 1/48 (pow re 2))
(* (pow re 2) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))
(* -1/4 (* (pow re 2) (- (* -1/3 (pow im 2)) 2)))
(* (pow re 2) (+ (* -1/4 (- (* -1/3 (pow im 2)) 2)) (* 1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2)))))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(+ 1/2 (* 1/12 (pow im 2)))
(* -2 (* im (+ 1/2 (* -1/4 (pow re 2)))))
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/3 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/60 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/60 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/2520 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))))
(+ 1 (* -1 im))
(+ 1 (* im (- (* 1/2 im) 1)))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(* -1/60 im)
(* im (- (* -1/2520 (pow im 2)) 1/60))
-1/60
(- (* -1/2520 (pow im 2)) 1/60)
(* -2 (+ 1/2 (* -1/4 (pow re 2))))
(+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/3 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))))
(* 1/2 re)
(+ (* 1/12 (* (pow im 2) re)) (* 1/2 re))
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(- (exp (neg im)) (exp im))
(* 1/12 (pow im 2))
(* (pow im 2) (+ 1/12 (* 1/2 (/ 1 (pow im 2)))))
(* (+ 1/2 (* -1/4 (pow re 2))) (- (exp (neg im)) (exp im)))
(* -1/3 (* (pow im 3) (+ 1/2 (* -1/4 (pow re 2)))))
(* (pow im 3) (+ (* -2 (/ (+ 1/2 (* -1/4 (pow re 2))) (pow im 2))) (* -1/3 (+ 1/2 (* -1/4 (pow re 2))))))
(exp (neg im))
(* -1/2520 (pow im 3))
(* -1 (* (pow im 3) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 2))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/3 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))
(* (pow im 2) (+ (* -2 (/ (+ 1/2 (* -1/4 (pow re 2))) (pow im 2))) (* -1/3 (+ 1/2 (* -1/4 (pow re 2))))))
(* 1/12 (* (pow im 2) re))
(* (pow im 2) (+ (* 1/12 re) (* 1/2 (/ re (pow im 2)))))
(exp im)
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* (+ 1/2 (* -1/4 (pow re 2))) (- (exp (* -1 im)) (exp im)))
(* -1 (* (pow im 3) (+ (* 1/3 (+ 1/2 (* -1/4 (pow re 2)))) (* 2 (/ (+ 1/2 (* -1/4 (pow re 2))) (pow im 2))))))
(exp (* -1 im))

Outputs
(* 1/2 (- (exp (neg im)) (exp im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (+.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 re re) (.f64 #s(literal 1/48 binary64) (.f64 re re)))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow re 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(* -1 im)
(neg.f64 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(.f64 (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im)
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(fma.f64 (.f64 (.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
(fma.f64 (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im (.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (fma.f64 (.f64 re re) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))))
(* 1/2 (* im (- (* -1/3 (pow im 2)) 2)))
(.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im) #s(literal 1/2 binary64))
(+ (* -1/4 (* im (* (pow re 2) (- (* -1/3 (pow im 2)) 2)))) (* 1/2 (* im (- (* -1/3 (pow im 2)) 2))))
(.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) im)
-1/4
#s(literal -1/4 binary64)
(- (* 1/48 (pow re 2)) 1/4)
(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))
(* 1/2 (- (* -1/3 (pow im 2)) 2))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (- (* -1/3 (pow im 2)) 2))) (* 1/2 (- (* -1/3 (pow im 2)) 2)))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(* -1/4 (* re (- (* -1/3 (pow im 2)) 2)))
(.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) re) #s(literal -1/4 binary64))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re))
(* 1/2 (cos re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(cos re)
(cos.f64 re)
(* -1 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im))))
(.f64 (.f64 (*.f64 re re) #s(literal -1/4 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2)))))
(.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) re) re) #s(literal -1/4 binary64))) (*.f64 re re))
(* -1/4 (* im (* (pow re 2) (- (* -1/3 (pow im 2)) 2))))
(.f64 (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im) #s(literal -1/4 binary64)) re) re)
(* (pow re 2) (+ (* -1/4 (* im (- (* -1/3 (pow im 2)) 2))) (* 1/2 (/ (* im (- (* -1/3 (pow im 2)) 2)) (pow re 2)))))
(.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) re) re) #s(literal -1/4 binary64))) (*.f64 re re))
(* 1/48 (pow re 4))
(*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/48 binary64))
(* (pow re 4) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))
(.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 re re))) (pow.f64 re #s(literal 4 binary64)))
(* (pow re 4) (- (+ 1/48 (/ 1/2 (pow re 4))) (* 1/4 (/ 1 (pow re 2)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 re re))) (pow.f64 re #s(literal 4 binary64)))
(* 1/48 (pow re 2))
(.f64 #s(literal 1/48 binary64) (.f64 re re))
(* (pow re 2) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))
(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))
(* -1/4 (* (pow re 2) (- (* -1/3 (pow im 2)) 2)))
(.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) (.f64 re re))
(* (pow re 2) (+ (* -1/4 (- (* -1/3 (pow im 2)) 2)) (* 1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2)))))
(.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) re) re) #s(literal -1/4 binary64))) (.f64 re re))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(.f64 (fma.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64))) (.f64 im im) (neg.f64 (cos.f64 re))) im)
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (cos.f64 re) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64))) (.f64 (cos.f64 re) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im)
(* -2 im)
(*.f64 #s(literal -2 binary64) im)
(* im (- (* -1/3 (pow im 2)) 2))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(+ 1/2 (* 1/12 (pow im 2)))
(fma.f64 #s(literal 1/12 binary64) (*.f64 im im) #s(literal 1/2 binary64))
(* -2 (* im (+ 1/2 (* -1/4 (pow re 2)))))
(.f64 (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im)
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/3 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))
(.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) im)
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/60 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64))) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im))
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/60 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/2520 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))))
(.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64))) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) im)
(+ 1 (* -1 im))
(-.f64 #s(literal 1 binary64) im)
(+ 1 (* im (- (* 1/2 im) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal -1 binary64)) im #s(literal 1 binary64))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal -1 binary64)) im #s(literal 1 binary64))
(* -1/60 im)
(*.f64 #s(literal -1/60 binary64) im)
(* im (- (* -1/2520 (pow im 2)) 1/60))
(.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) im)
-1/60
#s(literal -1/60 binary64)
(- (* -1/2520 (pow im 2)) 1/60)
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
(* -2 (+ 1/2 (* -1/4 (pow re 2))))
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))
(+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/3 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(+ (* 1/12 (* (pow im 2) re)) (* 1/2 re))
(.f64 re (fma.f64 #s(literal 1/12 binary64) (.f64 im im) #s(literal 1/2 binary64)))
(+ 1 im)
(+.f64 #s(literal 1 binary64) im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* 1/12 (pow im 2))
(.f64 #s(literal 1/12 binary64) (.f64 im im))
(* (pow im 2) (+ 1/12 (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 #s(literal 1/12 binary64) (*.f64 im im) #s(literal 1/2 binary64))
(* (+ 1/2 (* -1/4 (pow re 2))) (- (exp (neg im)) (exp im)))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* -1/3 (* (pow im 3) (+ 1/2 (* -1/4 (pow re 2)))))
(.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/12 binary64) (.f64 re re) #s(literal -1/6 binary64)))
(* (pow im 3) (+ (* -2 (/ (+ 1/2 (* -1/4 (pow re 2))) (pow im 2))) (* -1/3 (+ 1/2 (* -1/4 (pow re 2))))))
(.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) im)
(exp (neg im))
(exp.f64 (neg.f64 im))
(* -1/2520 (pow im 3))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/2520 binary64))
(* -1 (* (pow im 3) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) im)
(* -1/2520 (pow im 2))
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
(* -1/3 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 re re) #s(literal -1/6 binary64)) im) im)
(* (pow im 2) (+ (* -2 (/ (+ 1/2 (* -1/4 (pow re 2))) (pow im 2))) (* -1/3 (+ 1/2 (* -1/4 (pow re 2))))))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(* 1/12 (* (pow im 2) re))
(.f64 (.f64 (*.f64 im im) re) #s(literal 1/12 binary64))
(* (pow im 2) (+ (* 1/12 re) (* 1/2 (/ re (pow im 2)))))
(.f64 re (fma.f64 #s(literal 1/12 binary64) (.f64 im im) #s(literal 1/2 binary64)))
(exp im)
(exp.f64 im)
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* (+ 1/2 (* -1/4 (pow re 2))) (- (exp (* -1 im)) (exp im)))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* -1 (* (pow im 3) (+ (* 1/3 (+ 1/2 (* -1/4 (pow re 2)))) (* 2 (/ (+ 1/2 (* -1/4 (pow re 2))) (pow im 2))))))
(.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) im)
(exp (* -1 im))
(exp.f64 (neg.f64 im))

rewrite200.0ms (2%)

Memory

37.5MiB live, 266.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	417
0	108	407
1	381	407
2	1909	407
0	8348	401

Stop Event

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

Counts

25 → 384

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(cos.f64 re)
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (neg (cos re)) im) (neg.f64 im))
(neg.f64 im)
(.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re)) im)))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re)) im))
(.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re)) im)
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im)
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re))
(.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re)
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
(exp.f64 im)

Outputs
(.f64 (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #s(literal 1/2 binary64)) (cos.f64 re))
(.f64 (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (cos.f64 re)) #s(literal 1/2 binary64))
(.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))))
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (cos.f64 re)))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(cos.f64 re)
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (neg (cos re)) im) (neg.f64 im))
(.f64 (neg.f64 (neg.f64 (.f64 im im))) (/.f64 #s(literal 1 binary64) (neg.f64 im)))
(.f64 (neg.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 im im))))
(.f64 (neg.f64 (.f64 im im)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 im))))
(.f64 (neg.f64 (.f64 im im)) (pow.f64 im #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) im)
(.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 im im) (*.f64 #s(literal 0 binary64) (neg.f64 im))))))
(*.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (neg.f64 im))
(*.f64 im (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 im #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 im)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) im) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) im) (/.f64 #s(literal 0 binary64) im) (fma.f64 im im (*.f64 (/.f64 #s(literal 0 binary64) im) im))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (.f64 im im)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (.f64 im im)) (/.f64 #s(literal 0 binary64) (.f64 im im)) (fma.f64 im im (.f64 (/.f64 #s(literal 0 binary64) (*.f64 im im)) im))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 im im (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 im) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 im im)))) (neg.f64 (neg.f64 im)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (*.f64 im im))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 im im)) (.f64 (.f64 im im) (pow.f64 im #s(literal 3 binary64)))) (pow.f64 im #s(literal 4 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 im im))) (neg.f64 (-.f64 #s(literal 0 binary64) (neg.f64 im))))
(/.f64 (neg.f64 (neg.f64 (*.f64 im im))) (neg.f64 im))
(/.f64 (neg.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (.f64 im im) (.f64 #s(literal 0 binary64) (neg.f64 im))))))
(/.f64 (neg.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64))) (neg.f64 (*.f64 im im)))
(/.f64 (neg.f64 (*.f64 im im)) (-.f64 #s(literal 0 binary64) (neg.f64 im)))
(/.f64 (neg.f64 (*.f64 im im)) im)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 im))))
(/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 im im) (.f64 #s(literal 0 binary64) (neg.f64 im)))))
(/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (*.f64 im im))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 im)) (neg.f64 (*.f64 im im))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (.f64 im im) (.f64 #s(literal 0 binary64) (neg.f64 im)))) (pow.f64 (neg.f64 im) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 im)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 im)))
(neg.f64 im)
(fma.f64 (neg.f64 (neg.f64 (*.f64 im im))) (/.f64 #s(literal 1 binary64) (neg.f64 im)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 im im))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 im im)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 im))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 im im)) (pow.f64 im #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) im #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 im im) (.f64 #s(literal 0 binary64) (neg.f64 im))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 im) #s(literal 0 binary64))
(fma.f64 im (log.f64 (exp.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 im #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (pow.f64 im #s(literal -1 binary64)) (neg.f64 im))
(fma.f64 #s(literal 0 binary64) (pow.f64 im #s(literal -2 binary64)) (neg.f64 im))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 im))) (/.f64 (*.f64 im im) (-.f64 #s(literal 0 binary64) (neg.f64 im))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 im))))
(-.f64 (/.f64 #s(literal 0 binary64) im) im)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 im im)) im)
(-.f64 #s(literal 0 binary64) im)
(+.f64 (/.f64 #s(literal 0 binary64) im) (neg.f64 im))
(+.f64 (/.f64 #s(literal 0 binary64) (*.f64 im im)) (neg.f64 im))
(+.f64 (neg.f64 im) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 im))
(log.f64 (exp.f64 (neg.f64 im)))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 4 binary64) (.f64 (.f64 im im) #s(literal 2/3 binary64)))) (.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64)) (.f64 #s(literal -1/4 binary64) re))))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (-.f64 #s(literal 1/3600 binary64) (.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/60 binary64) (.f64 (.f64 im im) #s(literal -1/2520 binary64)))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3600 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal 1/60 binary64)))))
(.f64 (neg.f64 (fma.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (.f64 (*.f64 im im) #s(literal 1/151200 binary64)))))))
(.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3600 binary64)) (pow.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal 1/60 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3600 binary64) (-.f64 (.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 (.f64 im im) #s(literal 1/151200 binary64))))))
(.f64 (fma.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64)) (pow.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (.f64 (*.f64 im im) #s(literal 1/151200 binary64)))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/3600 binary64) (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal 1/60 binary64))) (/.f64 (.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal 1/60 binary64))) (fma.f64 (/.f64 #s(literal 1/3600 binary64) (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal 1/60 binary64))) (/.f64 #s(literal 1/3600 binary64) (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal 1/60 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal 1/60 binary64))) (/.f64 #s(literal 1/3600 binary64) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal 1/60 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/3600 binary64) (.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -1/60 binary64) (.f64 (*.f64 im im) #s(literal -1/2520 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3600 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal 1/60 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 im im) #s(literal 1/151200 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal 1/60 binary64))) (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3600 binary64))) (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal 1/60 binary64)) (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal 1/60 binary64))))
(/.f64 (-.f64 #s(literal 1/3600 binary64) (.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)))) (-.f64 #s(literal -1/60 binary64) (.f64 (*.f64 im im) #s(literal -1/2520 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3600 binary64))) (neg.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal 1/60 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64))) (neg.f64 (+.f64 #s(literal 1/3600 binary64) (-.f64 (.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 (*.f64 im im) #s(literal 1/151200 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64))) (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 im im) #s(literal 1/151200 binary64))))))
(/.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3600 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal 1/60 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))))
(/.f64 (fma.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64)) (+.f64 #s(literal 1/3600 binary64) (-.f64 (.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 (*.f64 im im) #s(literal 1/151200 binary64)))))
(/.f64 (fma.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64)) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 im im) #s(literal 1/151200 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/60 binary64) (.f64 (.f64 im im) #s(literal -1/2520 binary64))) (-.f64 #s(literal 1/3600 binary64) (*.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3600 binary64) (-.f64 (.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 (*.f64 im im) #s(literal 1/151200 binary64)))) (fma.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))))
(fma.f64 (.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal 1/60 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/3600 binary64) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal 1/60 binary64)))))
(fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
(fma.f64 im (*.f64 #s(literal -1/2520 binary64) im) #s(literal -1/60 binary64))
(-.f64 (/.f64 #s(literal 1/3600 binary64) (-.f64 #s(literal -1/60 binary64) (.f64 (.f64 im im) #s(literal -1/2520 binary64)))) (/.f64 (.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal -1/60 binary64) (.f64 (*.f64 im im) #s(literal -1/2520 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal 1/60 binary64))) (/.f64 #s(literal 1/3600 binary64) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal 1/60 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal 1/60 binary64))) (neg.f64 (/.f64 #s(literal 1/3600 binary64) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal 1/60 binary64)))))
(+.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64))
(+.f64 #s(literal -1/60 binary64) (.f64 (.f64 im im) #s(literal -1/2520 binary64)))
(*.f64 #s(literal 1 binary64) (exp.f64 im))
(*.f64 (exp.f64 im) #s(literal 1 binary64))
(/.f64 (neg.f64 (exp.f64 im)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(/.f64 (exp.f64 im) #s(literal 1 binary64))
(exp.f64 im)

eval71.0ms (0.7%)

Memory: -32.4MiB live, 124.3MiB allocated
Compiler: Compiled 18 682 to 2 319 computations (87.6% saved)

prune97.0ms (1%)

Memory

9.8MiB live, 137.5MiB allocated

Pruning

39 alts after pruning (34 fresh and 5 done)

	Pruned	Kept	Total
New	469	9	478
Fresh	1	25	26
Picked	3	2	5
Done	0	3	3
Total	473	39	512

Accuracy

100.0%

Counts

512 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.1%	(fma.f64 (.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re) (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))
✓	53.1%	(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
	52.3%	(.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
	91.8%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	56.9%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (.f64 #s(literal 1/48 binary64) (.f64 re re))) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	57.2%	(.f64 #s(approx ( 1/2 (cos re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	57.0%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	57.0%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	55.0%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
✓	3.6%	#s(approx (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) #s(literal 0 binary64))
	2.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (neg.f64 (exp.f64 im))))))
	52.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (pow.f64 (neg.f64 (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) im))
	84.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (/.f64 (.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) im) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
	84.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (/.f64 (.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) im) (neg.f64 (cos.f64 re))) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
	52.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 6 binary64))) (pow.f64 (cos.f64 re) #s(literal 5 binary64))) im))
	39.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
	60.1%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (pow.f64 (sqrt.f64 (cos.f64 re)) #s(literal 2 binary64)) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
	84.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (pow.f64 (cos.f64 re) #s(literal -1 binary64))) (/.f64 im (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
	84.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 im (cos.f64 re))) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
	84.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 re) #s(literal -1 binary64))) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
	52.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 re re))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (cos.f64 re)))) im))
✓	84.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
	51.6%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
✓	52.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
	38.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
	35.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
	36.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
	59.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)))) im)))
	51.6%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))) im)))
	44.1%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) (.f64 im im)) #s(literal -1/3 binary64))) (*.f64 im im))) im)))
	33.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 re re) #s(literal -1/6 binary64)) im) im)) im)))
	15.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (.f64 (.f64 (*.f64 im im) re) #s(literal 1/12 binary64))) re)) im)))
	12.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (*.f64 #s(literal 1/2 binary64) re)) re)) im)))
	36.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) im) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal -1/4 binary64))) (.f64 re re)))))
	35.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 (.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
	33.1%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (*.f64 im im)) im)))
	28.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 im)))))
✓	28.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
	38.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (log.f64 (exp.f64 (neg.f64 im)))))

Compiler

Compiled 3 348 to 1 300 computations (61.2% saved)

regimes95.0ms (0.9%)

Memory

9.1MiB live, 210.9MiB allocated

Counts

59 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) #s(literal 0 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (*.f64 #s(literal 1/2 binary64) re)) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (*.f64 im im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (.f64 (.f64 (*.f64 im im) re) #s(literal 1/12 binary64))) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 re re) #s(literal -1/6 binary64)) im) im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 (.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) im) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal -1/4 binary64))) (.f64 re re)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) (.f64 im im)) #s(literal -1/3 binary64))) (*.f64 im im))) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (.f64 #s(literal 1/48 binary64) (.f64 re re))) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (log.f64 (exp.f64 (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (pow.f64 (sqrt.f64 (cos.f64 re)) #s(literal 2 binary64)) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 re) #s(literal -1 binary64))) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 re re))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (cos.f64 re)))) im))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (cos.f64 re)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (/.f64 (.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) im) (neg.f64 (cos.f64 re))) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 im (cos.f64 re))) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 6 binary64))) (pow.f64 (cos.f64 re) #s(literal 5 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (pow.f64 (neg.f64 (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) im))
(fma.f64 (.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re) (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))
(fma.f64 (.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re) (/.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (/.f64 (.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) im) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 re) (cos.f64 re) (.f64 #s(literal 0 binary64) (cos.f64 re))))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 re) (cos.f64 re) (*.f64 #s(literal 0 binary64) (cos.f64 re)))))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (neg.f64 (exp.f64 im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (pow.f64 (cos.f64 re) #s(literal -1 binary64))) (/.f64 im (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (-.f64 (neg.f64 (exp.f64 im)) (exp.f64 (neg.f64 im)))))

Outputs

(fma.f64 (*.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))

Calls

6 calls:

19.0ms	(cos.f64 re)
16.0ms	im
15.0ms	re
15.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
14.0ms	(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
91.8%	1	`re`
99.9%	2	`im`
99.9%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
91.8%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
91.8%	1	`(cos.f64 re)`
99.9%	2	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes29.0ms (0.3%)

Memory

2.5MiB live, 43.0MiB allocated

Counts

51 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) #s(literal 0 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (*.f64 #s(literal 1/2 binary64) re)) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (*.f64 im im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (.f64 (.f64 (*.f64 im im) re) #s(literal 1/12 binary64))) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 re re) #s(literal -1/6 binary64)) im) im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 (.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) im) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal -1/4 binary64))) (.f64 re re)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) (.f64 im im)) #s(literal -1/3 binary64))) (*.f64 im im))) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (.f64 #s(literal 1/48 binary64) (.f64 re re))) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (log.f64 (exp.f64 (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (pow.f64 (sqrt.f64 (cos.f64 re)) #s(literal 2 binary64)) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 re) #s(literal -1 binary64))) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 re re))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (cos.f64 re)))) im))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (cos.f64 re)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (/.f64 (.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) im) (neg.f64 (cos.f64 re))) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 im (cos.f64 re))) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 6 binary64))) (pow.f64 (cos.f64 re) #s(literal 5 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (pow.f64 (neg.f64 (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) im))

Outputs

(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))

Calls

2 calls:

14.0ms	im
12.0ms	(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
99.9%	2	`im`
99.9%	2	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`

Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes25.0ms (0.2%)

Memory

1.7MiB live, 40.1MiB allocated

Counts

44 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) #s(literal 0 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (*.f64 #s(literal 1/2 binary64) re)) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (*.f64 im im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (.f64 (.f64 (*.f64 im im) re) #s(literal 1/12 binary64))) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 re re) #s(literal -1/6 binary64)) im) im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 (.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) im) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal -1/4 binary64))) (.f64 re re)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) (.f64 im im)) #s(literal -1/3 binary64))) (*.f64 im im))) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (.f64 #s(literal 1/48 binary64) (.f64 re re))) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (log.f64 (exp.f64 (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (pow.f64 (sqrt.f64 (cos.f64 re)) #s(literal 2 binary64)) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 re) #s(literal -1 binary64))) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 re re))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (cos.f64 re)))) im))

Outputs

(*.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))

(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

Calls

2 calls:

12.0ms	im
10.0ms	(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
99.5%	2	`im`
99.5%	2	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`

Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes31.0ms (0.3%)

Memory

-27.3MiB live, 50.5MiB allocated

Counts

39 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) #s(literal 0 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (*.f64 #s(literal 1/2 binary64) re)) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (*.f64 im im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (.f64 (.f64 (*.f64 im im) re) #s(literal 1/12 binary64))) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 re re) #s(literal -1/6 binary64)) im) im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 (.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) im) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal -1/4 binary64))) (.f64 re re)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) (.f64 im im)) #s(literal -1/3 binary64))) (*.f64 im im))) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (.f64 #s(literal 1/48 binary64) (.f64 re re))) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (log.f64 (exp.f64 (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))

Outputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)))

Calls

3 calls:

11.0ms	im
9.0ms	(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
8.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
99.3%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
97.4%	3	`im`
91.8%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`

Compiler

Compiled 20 to 20 computations (0% saved)

regimes10.0ms (0.1%)

Memory

19.1MiB live, 19.1MiB allocated

Counts

38 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) #s(literal 0 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (*.f64 #s(literal 1/2 binary64) re)) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (*.f64 im im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (.f64 (.f64 (*.f64 im im) re) #s(literal 1/12 binary64))) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 re re) #s(literal -1/6 binary64)) im) im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 (.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) im) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal -1/4 binary64))) (.f64 re re)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) (.f64 im im)) #s(literal -1/3 binary64))) (*.f64 im im))) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (.f64 #s(literal 1/48 binary64) (.f64 re re))) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (log.f64 (exp.f64 (neg.f64 im)))))

Outputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (log.f64 (exp.f64 (neg.f64 im)))))

(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)))

Calls

1 calls:

8.0ms

(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
99.2%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes22.0ms (0.2%)

Memory

-1.2MiB live, 41.4MiB allocated

Counts

37 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) #s(literal 0 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (*.f64 #s(literal 1/2 binary64) re)) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (*.f64 im im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (.f64 (.f64 (*.f64 im im) re) #s(literal 1/12 binary64))) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 re re) #s(literal -1/6 binary64)) im) im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 (.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) im) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal -1/4 binary64))) (.f64 re re)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) (.f64 im im)) #s(literal -1/3 binary64))) (*.f64 im im))) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (.f64 #s(literal 1/48 binary64) (.f64 re re))) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)))) im)))

Outputs

(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (*.f64 #s(literal 1/48 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)))

Calls

2 calls:

12.0ms	im
8.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
91.8%	1	`im`
95.9%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes11.0ms (0.1%)

Memory

-16.6MiB live, 22.3MiB allocated

Counts

35 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) #s(literal 0 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (*.f64 #s(literal 1/2 binary64) re)) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (*.f64 im im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (.f64 (.f64 (*.f64 im im) re) #s(literal 1/12 binary64))) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 re re) #s(literal -1/6 binary64)) im) im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 (.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) im) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal -1/4 binary64))) (.f64 re re)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) (.f64 im im)) #s(literal -1/3 binary64))) (*.f64 im im))) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (.f64 #s(literal 1/48 binary64) (.f64 re re))) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

Outputs

(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (*.f64 #s(literal 1/48 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

Calls

1 calls:

9.0ms

(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
94.1%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes9.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated

Counts

31 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) #s(literal 0 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (*.f64 #s(literal 1/2 binary64) re)) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (*.f64 im im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (.f64 (.f64 (*.f64 im im) re) #s(literal 1/12 binary64))) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 re re) #s(literal -1/6 binary64)) im) im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 (.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) im) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal -1/4 binary64))) (.f64 re re)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) (.f64 im im)) #s(literal -1/3 binary64))) (*.f64 im im))) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (.f64 #s(literal 1/48 binary64) (.f64 re re))) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

Outputs

(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (*.f64 #s(literal 1/48 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

Calls

1 calls:

7.0ms

(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
93.9%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes9.0ms (0.1%)

Memory

-19.9MiB live, 18.9MiB allocated

Counts

30 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) #s(literal 0 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (*.f64 #s(literal 1/2 binary64) re)) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (*.f64 im im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (.f64 (.f64 (*.f64 im im) re) #s(literal 1/12 binary64))) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 re re) #s(literal -1/6 binary64)) im) im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 (.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) im) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal -1/4 binary64))) (.f64 re re)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) (.f64 im im)) #s(literal -1/3 binary64))) (*.f64 im im))) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (.f64 #s(literal 1/48 binary64) (.f64 re re))) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))

Outputs

(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (*.f64 #s(literal 1/48 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (*.f64 #s(approx (* (* (+ (* (* im im) -1/3) -2) -1/4) re) (*.f64 (*.f64 (*.f64 im im) re) #s(literal 1/12 binary64))) re)) im)))

Calls

1 calls:

7.0ms

(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
95.4%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes8.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

28 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) #s(literal 0 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (*.f64 #s(literal 1/2 binary64) re)) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (*.f64 im im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (.f64 (.f64 (*.f64 im im) re) #s(literal 1/12 binary64))) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 re re) #s(literal -1/6 binary64)) im) im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 (.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) im) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal -1/4 binary64))) (.f64 re re)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) (.f64 im im)) #s(literal -1/3 binary64))) (*.f64 im im))) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (.f64 #s(literal 1/48 binary64) (.f64 re re))) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))

Outputs

(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (*.f64 #s(literal 1/48 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (*.f64 #s(approx (* (* (+ (* (* im im) -1/3) -2) -1/4) re) (*.f64 (*.f64 (*.f64 im im) re) #s(literal 1/12 binary64))) re)) im)))

Calls

1 calls:

6.0ms

(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
95.3%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes52.0ms (0.5%)

Memory

12.0MiB live, 50.6MiB allocated

Counts

27 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) #s(literal 0 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (*.f64 #s(literal 1/2 binary64) re)) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (*.f64 im im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (.f64 (.f64 (*.f64 im im) re) #s(literal 1/12 binary64))) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 re re) #s(literal -1/6 binary64)) im) im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 (.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) im) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal -1/4 binary64))) (.f64 re re)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) (.f64 im im)) #s(literal -1/3 binary64))) (*.f64 im im))) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (.f64 #s(literal 1/48 binary64) (.f64 re re))) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))

Outputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (*.f64 #s(approx (* (* (+ (* (* im im) -1/3) -2) -1/4) re) (*.f64 (*.f64 (*.f64 im im) re) #s(literal 1/12 binary64))) re)) im)))

(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

Calls

6 calls:

14.0ms	re
8.0ms	im
8.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
8.0ms	(cos.f64 re)
6.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
70.3%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
70.3%	2	`(cos.f64 re)`
61.6%	2	`re`
63.1%	3	`im`
59.2%	2	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
71.8%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes36.0ms (0.4%)

Memory

-22.8MiB live, 24.9MiB allocated

Counts

25 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) #s(literal 0 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (*.f64 #s(literal 1/2 binary64) re)) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (*.f64 im im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (.f64 (.f64 (*.f64 im im) re) #s(literal 1/12 binary64))) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 re re) #s(literal -1/6 binary64)) im) im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 (.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) im) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal -1/4 binary64))) (.f64 re re)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) (.f64 im im)) #s(literal -1/3 binary64))) (*.f64 im im))) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (.f64 #s(literal 1/48 binary64) (.f64 re re))) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

Outputs

(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (*.f64 #s(literal 1/48 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (*.f64 #s(approx (* (* (+ (* (* im im) -1/3) -2) -1/4) re) (*.f64 (*.f64 (*.f64 im im) re) #s(literal 1/12 binary64))) re)) im)))

Calls

3 calls:

21.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
7.0ms	(cos.f64 re)
6.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
71.8%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
70.1%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
70.1%	2	`(cos.f64 re)`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes21.0ms (0.2%)

Memory

24.0MiB live, 24.0MiB allocated

Counts

24 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) #s(literal 0 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (*.f64 #s(literal 1/2 binary64) re)) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (*.f64 im im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (.f64 (.f64 (*.f64 im im) re) #s(literal 1/12 binary64))) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 re re) #s(literal -1/6 binary64)) im) im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 (.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) im) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal -1/4 binary64))) (.f64 re re)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) (.f64 im im)) #s(literal -1/3 binary64))) (*.f64 im im))) im)))

Outputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (*.f64 #s(approx (* (* (+ (* (* im im) -1/3) -2) -1/4) re) (*.f64 (*.f64 (*.f64 im im) re) #s(literal 1/12 binary64))) re)) im)))

(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

Calls

3 calls:

7.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
7.0ms	(cos.f64 re)
6.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
69.9%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
69.9%	2	`(cos.f64 re)`
69.6%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes30.0ms (0.3%)

Memory

-18.2MiB live, 20.4MiB allocated

Counts

19 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) #s(literal 0 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (*.f64 #s(literal 1/2 binary64) re)) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (*.f64 im im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (.f64 (.f64 (*.f64 im im) re) #s(literal 1/12 binary64))) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 re re) #s(literal -1/6 binary64)) im) im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 (.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))

Outputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (*.f64 #s(approx (* (* (+ (* (* im im) -1/3) -2) -1/4) re) (*.f64 (*.f64 (*.f64 im im) re) #s(literal 1/12 binary64))) re)) im)))

(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

Calls

3 calls:

18.0ms	(cos.f64 re)
6.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
5.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
67.6%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
67.9%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
67.9%	2	`(cos.f64 re)`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes15.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

16 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) #s(literal 0 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (*.f64 #s(literal 1/2 binary64) re)) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (*.f64 im im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (.f64 (.f64 (*.f64 im im) re) #s(literal 1/12 binary64))) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 re re) #s(literal -1/6 binary64)) im) im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 (.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal -1/4 binary64)) re) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im)))

Outputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (*.f64 #s(approx (* (* (+ (* (* im im) -1/3) -2) -1/4) re) (*.f64 (*.f64 (*.f64 im im) re) #s(literal 1/12 binary64))) re)) im)))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))) im)))

Calls

3 calls:

5.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
5.0ms	(cos.f64 re)
4.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
64.2%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
66.9%	3	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
66.9%	3	`(cos.f64 re)`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes32.0ms (0.3%)

Memory

-27.2MiB live, 11.5MiB allocated

Counts

13 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) #s(literal 0 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (*.f64 #s(literal 1/2 binary64) re)) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (*.f64 im im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (.f64 (.f64 (*.f64 im im) re) #s(literal 1/12 binary64))) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 re re) #s(literal -1/6 binary64)) im) im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))

Outputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (*.f64 #s(approx (* (* (+ (* (* im im) -1/3) -2) -1/4) re) (*.f64 (*.f64 (*.f64 im im) re) #s(literal 1/12 binary64))) re)) im)))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))) im)))

Calls

2 calls:

26.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
4.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
66.9%	3	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
66.9%	3	`(cos.f64 re)`

Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes8.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) #s(literal 0 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (*.f64 #s(literal 1/2 binary64) re)) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (- 0 (pow (cos re) 2)) (/ 1 (+ 0 (cos re)))) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (*.f64 im im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (.f64 (.f64 (*.f64 im im) re) #s(literal 1/12 binary64))) re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 re re) #s(literal -1/6 binary64)) im) im)) im)))

Outputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (*.f64 #s(approx (* (* (+ (* (* im im) -1/3) -2) -1/4) re) (*.f64 (*.f64 (*.f64 im im) re) #s(literal 1/12 binary64))) re)) im)))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))) im)))

Calls

2 calls:

4.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
4.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
64.5%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
64.5%	2	`(cos.f64 re)`

Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes10.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(approx (neg (cos re)) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))) im)))

Calls

3 calls:

3.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
3.0ms	(cos.f64 re)
3.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
62.0%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
62.1%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
62.1%	2	`(cos.f64 re)`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes17.0ms (0.2%)

Memory

-18.3MiB live, 20.5MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (*.f64 im im)) im)))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (*.f64 #s(approx (* (* (+ (* (* im im) -1/3) -2) -1/4) re) (*.f64 #s(literal 1/2 binary64) re)) re)) im)))

Calls

6 calls:

4.0ms	im
3.0ms	re
3.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
3.0ms	(cos.f64 re)
2.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
44.2%	2	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
39.4%	2	`re`
48.4%	3	`im`
54.5%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
43.3%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
43.3%	2	`(cos.f64 re)`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes14.0ms (0.1%)

Memory

18.9MiB live, 18.9MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(approx (neg (cos re)) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))

Calls

6 calls:

2.0ms	re
2.0ms	im
2.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
2.0ms	(cos.f64 re)
2.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
36.5%	1	`re`
38.9%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
38.9%	2	`(cos.f64 re)`
38.3%	2	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
38.3%	2	`im`
38.8%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes4.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) #s(literal 0 binary64))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (*.f64 #s(approx (* (* (+ (* (* im im) -1/3) -2) -1/4) re) (*.f64 #s(literal 1/2 binary64) re)) re)) im)))

Outputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (*.f64 #s(approx (* (* (+ (* (* im im) -1/3) -2) -1/4) re) (*.f64 #s(literal 1/2 binary64) re)) re)) im)))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))

Calls

2 calls:

2.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
2.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
38.9%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
38.9%	2	`(cos.f64 re)`

Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes15.0ms (0.2%)

Memory

-25.9MiB live, 14.2MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) #s(literal 0 binary64))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))

Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))

Calls

6 calls:

7.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
2.0ms	im
2.0ms	re
2.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
1.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
28.5%	1	`re`
28.5%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
28.5%	1	`im`
28.5%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
28.5%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
28.5%	1	`(cos.f64 re)`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes8.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) #s(literal 0 binary64))

Outputs
#s(approx (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) #s(literal 0 binary64))

Calls

6 calls:

1.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
1.0ms	re
1.0ms	im
1.0ms	(cos.f64 re)
1.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
3.6%	1	`re`
3.6%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
3.6%	1	`(cos.f64 re)`
3.6%	1	`im`
3.6%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
3.6%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.38277743911168316	-8.749704073307552e-5

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.38277743911168316	-8.749704073307552e-5

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-9.328509637731025e+99	-39.45738644059993

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.93794999173029e-5	+inf
0.0ms	-0.19138871955584158	-4.374852036653776e-5

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.93794999173029e-5	+inf
0.0ms	-inf	-1.961116279416144e+99

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.93794999173029e-5	+inf
0.0ms	-inf	-1.961116279416144e+99

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-1.961116279416144e+99

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-1.961116279416144e+99

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.93794999173029e-5	+inf
0.0ms	-0.19138871955584158	-4.374852036653776e-5

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.93794999173029e-5	+inf
0.0ms	-4.374852036653776e-5	0.0

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.002174233919321751	0.013586117539821906

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.8864039290076357e-14
0.0ms	-inf	-1.961116279416144e+99

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.011288107647282735	0.002174233919321751

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.011288107647282735	0.002174233919321751

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9256520693858149	0.9278621115082774
0.0ms	0.002174233919321751	0.013586117539821906

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9256520693858149	0.9278621115082774
0.0ms	0.002174233919321751	0.013586117539821906

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.011288107647282735	0.002174233919321751

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.011288107647282735	0.002174233919321751

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.8864039290076357e-14
0.0ms	-inf	-1.961116279416144e+99

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.011288107647282735	0.002174233919321751

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.011288107647282735	0.002174233919321751

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify61.0ms (0.6%)

Memory

6.3MiB live, 45.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	212	2458
1	277	2458
2	301	2458
3	314	2458
4	319	2458
5	320	2458

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #s(literal -3602879701896397/18014398509481984 binary64)) (fma.f64 (.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))))
(if (<=.f64 (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))))
(if (<=.f64 (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #s(literal -5000000000000000079514455548799590234180404281972640694890663778873919386085190530406734992928407552 binary64)) (.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (log.f64 (exp.f64 (neg.f64 im))))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5902958103587057/295147905179352825856 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)))))
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(if (<=.f64 (cos.f64 re) #s(literal 1152921504606847/288230376151711744 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (.f64 (.f64 (.f64 im im) re) #s(literal 1/12 binary64))) re)) im))) (.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (.f64 #s(literal 1/48 binary64) (.f64 re re))) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) (.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (.f64 (.f64 (*.f64 im im) re) #s(literal 1/12 binary64))) re)) im)))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (.f64 (.f64 (.f64 im im) re) #s(literal 1/12 binary64))) re)) im))) (.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (.f64 (.f64 (.f64 im im) re) #s(literal 1/12 binary64))) re)) im))) (.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (cos.f64 re) #s(literal 1152921504606847/288230376151711744 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (.f64 (.f64 (.f64 im im) re) #s(literal 1/12 binary64))) re)) im))) (if (<=.f64 (cos.f64 re) #s(literal 8340666509890159/9007199254740992 binary64)) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 (.f64 im (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))) im)))))
(if (<=.f64 (cos.f64 re) #s(literal 1152921504606847/288230376151711744 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (.f64 (.f64 (.f64 im im) re) #s(literal 1/12 binary64))) re)) im))) (if (<=.f64 (cos.f64 re) #s(literal 8340666509890159/9007199254740992 binary64)) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im)) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))) im)))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (.f64 (.f64 (.f64 im im) re) #s(literal 1/12 binary64))) re)) im))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))) im))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))) im))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (.f64 im im)) im))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (*.f64 #s(literal 1/2 binary64) re)) re)) im)))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (.f64 #s(literal 1/2 binary64) re)) re)) im))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) #s(literal 0 binary64))

Outputs
(if (<=.f64 (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #s(literal -3602879701896397/18014398509481984 binary64)) (fma.f64 (.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))))
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -3602879701896397/18014398509481984 binary64)) (fma.f64 (.f64 (neg.f64 #s(literal 1/2 binary64)) (exp.f64 im)) (cos.f64 re) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) (*.f64 (cos.f64 re) im))))
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(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (.f64 #s(literal 1/2 binary64) re)) re)) im))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (+ (* (* re re) -1/4) 1/2) (+ (* -1/3 (* im im)) -2)) (.f64 #s(approx ( (* (+ (* (* im im) -1/3) -2) -1/4) re) (.f64 re #s(literal 1/2 binary64))) re)) im))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (+ (* (* (neg (exp im)) 1/2) (cos re)) (/ (* (cos re) 1/2) (exp im))) #s(literal 0 binary64))

soundness2.4s (23.7%)

Memory

34.9MiB live, 1 640.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	256
0	79	250
1	280	245
2	1778	245
0	8544	245
0	11	30
0	18	27
1	54	27
2	351	27
0	4157	27
0	63	298
0	95	278
1	354	263
2	2578	263
0	8862	263
0	330	1234
1	1009	1126
2	3370	1075
0	8228	972
0	331	1376
1	1031	1238
2	3599	1148
0	8428	1036
0	251	1127
1	758	1018
2	2599	937
3	6410	937
0	8239	848
0	126	381
1	321	347
2	906	341
3	2928	320
4	6382	320
0	8344	287
0	67	417
0	108	407
1	381	407
2	1909	407
0	8348	401

Stop Event

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

Compiler

Compiled 3 755 to 1 269 computations (66.2% saved)

preprocess384.0ms (3.8%)

Memory: -53.5MiB live, 367.7MiB allocated
Remove: (abs re)
Compiler: Compiled 5 318 to 698 computations (86.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated