Metrics for math.sin on complex, imaginary part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB 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 (23.5%)

Memory

19.5MiB live, 2 615.6MiB allocated

Samples

710.0ms	1 384×	2	valid
532.0ms	2 424×	1	valid
439.0ms	4 448×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-exp: 717.0ms (54% of total)

ival-cos: 196.0ms (14.8% of total)

adjust: 138.0ms (10.4% of total)

ival-mult: 133.0ms (10% of total)

ival-sub: 122.0ms (9.2% of total)

exact: 10.0ms (0.8% of total)

ival-true: 7.0ms (0.5% of total)

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

Bogosity

explain276.0ms (3.2%)

Memory

-17.0MiB live, 254.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
130	-	1	(-6.458790276851262e-23 -0.006149645670916006)	`(-.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	-	0	-	`(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	1

Confusion

	Predicted +	Predicted -
+	129	1
-	0	126

Precision

1.0

Recall

0.9923076923076923

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	127
1	129

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

75.0ms	152×	1	valid
41.0ms	92×	2	valid
24.0ms	268×	0	valid

Compiler

Compiled 92 to 37 computations (59.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

ival-exp: 40.0ms (34.2% of total)

adjust: 37.0ms (31.6% of total)

ival-cos: 24.0ms (20.5% of total)

ival-mult: 8.0ms (6.8% of total)

ival-sub: 6.0ms (5.1% of total)

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

exact: 1.0ms (0.9% of total)

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

preprocess179.0ms (2%)

Memory

-5.1MiB live, 154.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	59
1	95	55
2	221	55
3	642	55
4	3153	55
0	11	12
0	18	11
1	38	11
2	73	11
3	201	11
4	770	10
5	7844	10
0	8010	10

Stop Event

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

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 #s(literal 2 binary64) (sinh.f64 (neg.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

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.5%	(.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)

simplify130.0ms (1.5%)

Memory

13.6MiB live, 91.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
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	1	(-.f64 #s(literal 0 binary64) im)
cost-diff	1	(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	38
0	18	34
1	38	34
2	73	34
3	201	34
4	770	32
5	7844	32
0	8010	32

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)) (-.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 #s(literal 2 binary64) (sinh.f64 (neg.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 #s(literal 2 binary64) (sinh.f64 (neg.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)

localize64.0ms (0.7%)

Memory

12.3MiB live, 48.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 im)
accuracy	0.0	(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	29.108658281184553	(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))

Samples

20.0ms	46×	2	valid
20.0ms	134×	0	valid
16.0ms	76×	1	valid

Compiler

Compiled 40 to 13 computations (67.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-exp: 20.0ms (45.5% of total)

ival-cos: 13.0ms (29.6% of total)

adjust: 4.0ms (9.1% of total)

ival-mult: 4.0ms (9.1% of total)

ival-sub: 3.0ms (6.8% 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

5.1MiB live, 5.1MiB allocated

Counts

6 → 31

Calls

Call 1

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

Calls

6 calls:

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

simplify236.0ms (2.7%)

Memory

0.5MiB live, 156.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	381
1	387	349
2	1286	341
3	5237	320
0	8363	297

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

rewrite151.0ms (1.7%)

Memory

-6.7MiB live, 82.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	30
0	18	27
1	64	27
2	420	25
0	5001	25

Stop Event

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

Counts

6 → 176

Calls

Call 1

Inputs
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(-.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)
(exp.f64 im)

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (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 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (neg.f64 im))) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))
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(fma.f64 (/.f64 (.f64 im im) (pow.f64 (neg.f64 im) #s(literal 3 binary64))) (.f64 im im) #s(literal 0 binary64))
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(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 im))))
(-.f64 (neg.f64 im) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) im)
(+.f64 (neg.f64 im) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 im))
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(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (cos.f64 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)))) (+.f64 (expm1.f64 (.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
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(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (cos.f64 re))
(.f64 (.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #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 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (/.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
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(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (.f64 (sin.f64 re) #s(literal 0 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (*.f64 #s(literal 1 binary64) (cos.f64 re))))
(fma.f64 (.f64 (sin.f64 re) #s(literal 0 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 re)) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))))
(fma.f64 (cosh.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 (-.f64 (sinh.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cosh.f64 im) (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (sinh.f64 (neg.f64 im)) (exp.f64 im))))
(+.f64 (.f64 (.f64 (sin.f64 re) #s(literal 0 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 re)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))))
(+.f64 (.f64 (cosh.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (-.f64 (sinh.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (.f64 (sin.f64 re) #s(literal 0 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (.f64 #s(literal 1 binary64) (cos.f64 re))))
(+.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cosh.f64 im)) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (sinh.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))
(fma.f64 (.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) #s(literal 0 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 re))))
(+.f64 (.f64 (.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) #s(literal 0 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (cos.f64 re))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 re) #s(literal 0 binary64)) (.f64 (sin.f64 re) #s(literal 0 binary64))) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 re)) (.f64 #s(literal 1 binary64) (cos.f64 re)))) (-.f64 (.f64 (sin.f64 re) #s(literal 0 binary64)) (.f64 #s(literal 1 binary64) (cos.f64 re))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 re) #s(literal 0 binary64)) (.f64 (sin.f64 re) #s(literal 0 binary64)) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 re)) (.f64 #s(literal 1 binary64) (cos.f64 re))) (.f64 (.f64 (sin.f64 re) #s(literal 0 binary64)) (.f64 #s(literal 1 binary64) (cos.f64 re))))))
(fma.f64 (sin.f64 (neg.f64 re)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (*.f64 (sin.f64 re) #s(literal 0 binary64)))
(fma.f64 (sin.f64 re) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(fma.f64 (cos.f64 re) #s(literal 1 binary64) (*.f64 (sin.f64 re) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (sin.f64 re) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(sin.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) re))
(-.f64 (.f64 (sin.f64 re) #s(literal 0 binary64)) (.f64 (neg.f64 (cos.f64 re)) #s(literal 1 binary64)))
(cos.f64 (neg.f64 re))
(cos.f64 re)
(+.f64 (.f64 (sin.f64 (neg.f64 re)) #s(literal 0 binary64)) (.f64 #s(literal 1 binary64) (cos.f64 re)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 re)) (.f64 (sin.f64 re) #s(literal 0 binary64)))
(+.f64 (.f64 (sin.f64 re) #s(literal 0 binary64)) (.f64 #s(literal 1 binary64) (cos.f64 re)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 (neg.f64 im)) (-.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 im)))
(*.f64 #s(literal 1 binary64) (exp.f64 im))
(*.f64 (exp.f64 im) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))) (-.f64 (sinh.f64 im) (cosh.f64 im)))
(/.f64 (-.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (*.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 im) (-.f64 (sinh.f64 im) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 im) (-.f64 (sinh.f64 im) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 2 binary64))
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(/.f64 (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64))) (fma.f64 (sinh.f64 im) (-.f64 (sinh.f64 im) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 im)))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(fma.f64 #s(literal 1 binary64) (sinh.f64 im) (*.f64 #s(literal 1 binary64) (cosh.f64 im)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 im) (*.f64 #s(literal 1 binary64) (sinh.f64 im)))
(fma.f64 (sinh.f64 im) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (cosh.f64 im)))
(fma.f64 (cosh.f64 im) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (sinh.f64 im)))
(-.f64 (+.f64 (sinh.f64 im) (*.f64 #s(literal 1 binary64) (cosh.f64 im))) #s(literal 0 binary64))
(-.f64 (/.f64 (pow.f64 (cosh.f64 im) #s(literal 2 binary64)) (exp.f64 (neg.f64 im))) (/.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (exp.f64 (neg.f64 im))))
(-.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (+.f64 #s(literal 0 binary64) (sinh.f64 (neg.f64 im))))
(-.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (-.f64 #s(literal 0 binary64) (sinh.f64 im)))
(-.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im)))
(exp.f64 im)
(+.f64 (-.f64 (cosh.f64 im) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (sinh.f64 im)))
(+.f64 (/.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (fma.f64 (sinh.f64 im) (-.f64 (sinh.f64 im) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (fma.f64 (sinh.f64 im) (-.f64 (sinh.f64 im) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (.f64 #s(literal 1 binary64) (sinh.f64 im)))
(+.f64 (.f64 #s(literal 1 binary64) (sinh.f64 im)) (.f64 #s(literal 1 binary64) (cosh.f64 im)))
(+.f64 (sinh.f64 im) (cosh.f64 im))
(+.f64 (cosh.f64 im) (sinh.f64 im))

eval39.0ms (0.4%)

Memory: 5.0MiB live, 43.3MiB allocated
Compiler: Compiled 5 110 to 871 computations (83% saved)

prune32.0ms (0.4%)

Memory

-18.9MiB live, 19.8MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	197	8	205
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	198	8	206

Accuracy

99.9%

Counts

206 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.f64 (.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
▶	50.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))))
	93.2%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.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)))
▶	90.3%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
	86.8%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
▶	41.0%	#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)))
▶	52.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
	86.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im))))

Compiler

Compiled 380 to 290 computations (23.7% saved)

simplify122.0ms (1.4%)

Memory

25.9MiB live, 106.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 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	4	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))))
cost-diff	24	(.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
cost-diff	0	(exp.f64 (neg.f64 im))
cost-diff	0	#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)))
cost-diff	1	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
cost-diff	4	(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) 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 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) 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	(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))
cost-diff	0	(cos.f64 re)
cost-diff	0	(.f64 (cos.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))
cost-diff	4	(.f64 (.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	358
0	75	300
1	151	296
2	392	292
3	1552	275
0	8637	275

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
(.f64 (cos.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))
(cos.f64 re)
re
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))
#s(literal 2 binary64)
(sinh.f64 (neg.f64 im))
(neg.f64 im)
im
#s(literal 1/2 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 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) 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 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)
(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)
(.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
(-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64))
(.f64 #s(literal -1/60 binary64) (.f64 im im))
#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 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #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)
#s(literal 1/2 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
#s(literal 2 binary64)
(cosh.f64 im)
im
(exp.f64 im)
(pow.f64 (exp.f64 im) #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))
(sinh.f64 (neg.f64 im))
(neg.f64 im)

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

localize208.0ms (2.4%)

Memory

-5.4MiB live, 264.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.024101269536884032	(pow.f64 (exp.f64 im) #s(literal -2 binary64))
accuracy	0.05859375	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))))
accuracy	0.4999972479416279	(/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
accuracy	0.6171833716604116	(.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
accuracy	0.0	(exp.f64 (neg.f64 im))
accuracy	0.0	(exp.f64 im)
accuracy	11.750371958083964	#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)))
accuracy	29.108658281184553	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
accuracy	0.078125	(.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)
accuracy	0.078125	(.f64 #s(literal -1/60 binary64) (.f64 im im))
accuracy	0.16796875	(.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
accuracy	0.48749514444801034	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))
accuracy	0.0	(neg.f64 (cos.f64 re))
accuracy	0.0	(cos.f64 re)
accuracy	0.05859375	(*.f64 (neg.f64 (cos.f64 re)) im)
accuracy	0.9637253179506091	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
accuracy	0.0	(neg.f64 im)
accuracy	0.0	(cos.f64 re)
accuracy	0.01171875	(sinh.f64 (neg.f64 im))
accuracy	0.05859375	(.f64 (cos.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))

Samples

71.0ms	75×	1	valid
60.0ms	46×	2	valid
41.0ms	124×	0	exit
4.0ms	11×	0	valid

Compiler

Compiled 319 to 42 computations (86.8% saved)

Precisions

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

ival-mult: 36.0ms (25.3% of total)

ival-exp: 33.0ms (23.2% of total)

adjust: 30.0ms (21.1% of total)

ival-sub: 11.0ms (7.7% of total)

const: 8.0ms (5.6% of total)

ival-pow: 7.0ms (4.9% of total)

ival-cos: 5.0ms (3.5% of total)

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

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

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

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

exact: 1.0ms (0.7% of total)

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

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

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

series77.0ms (0.9%)

Memory

13.1MiB live, 58.3MiB allocated

Counts

24 → 85

Calls

Call 1

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

Outputs
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))))))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im))))))))))
(- (exp (neg im)) (/ 1 (exp (neg im))))
(- (+ (exp (neg im)) (* -1/2 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))) (/ 1 (exp (neg im))))
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/24 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) (/ 1 (exp (neg im))))
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/24 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) (/ 1 (exp (neg im))))
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 (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 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)
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)))
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im)))))
(cos re)
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* -1 (* im (cos re)))
(* -1 (cos re))
(* 1/2 (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 (cos re)))
(* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re)))))
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re)))))))
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (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))
(* im (- (* -1/6 (pow im 2)) 1))
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
(+ 1 (* -1 im))
(+ 1 (* im (- (* 1/2 im) 1)))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(* -1/3 im)
(* im (- (* -1/60 (pow im 2)) 1/3))
(* -1/60 (pow im 2))
(* -1/3 (pow im 2))
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3))
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(* -2/3 im)
(* im (- (* 7/9 (pow im 2)) 2/3))
(* im (- (* (pow im 2) (+ 7/9 (* -403/540 (pow im 2)))) 2/3))
(* im (- (* (pow im 2) (+ 7/9 (* (pow im 2) (- (* 5207/7560 (pow im 2)) 403/540)))) 2/3))
(+ 1 (* -2 im))
(+ 1 (* im (- (* 2 im) 2)))
(+ 1 (* im (- (* im (+ 2 (* -4/3 im))) 2)))
(- (exp (neg im)) (exp im))
(exp (neg im))
(* -1/60 (pow im 3))
(* -1 (* (pow im 3) (+ 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))))))
(exp im)
(/ (- (exp (neg im)) (/ 1 (exp (neg im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))
(/ 1 (pow (exp im) 2))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(- (exp (* -1 im)) (/ 1 (exp (* -1 im))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(exp (* -1 im))
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(/ (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))

Calls

6 calls:

Time	Variable		Point	Expression
58.0ms	im	@	inf	((* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg 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))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (exp (neg im)) (exp im)) 1/2) (- (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (exp (neg im)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (sinh (neg im)) (neg im) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/60 (* im im)) (* (* (- (* -1/60 (* im im)) 1/3) im) im) (exp im) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (pow (exp im) -2))
7.0ms	im	@	-inf	((* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg 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))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (exp (neg im)) (exp im)) 1/2) (- (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (exp (neg im)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (sinh (neg im)) (neg im) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/60 (* im im)) (* (* (- (* -1/60 (* im im)) 1/3) im) im) (exp im) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (pow (exp im) -2))
3.0ms	im	@	0	((* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg 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))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (exp (neg im)) (exp im)) 1/2) (- (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (exp (neg im)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (sinh (neg im)) (neg im) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/60 (* im im)) (* (* (- (* -1/60 (* im im)) 1/3) im) im) (exp im) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (pow (exp im) -2))
3.0ms	re	@	0	((* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg 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))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (exp (neg im)) (exp im)) 1/2) (- (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (exp (neg im)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (sinh (neg im)) (neg im) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/60 (* im im)) (* (* (- (* -1/60 (* im im)) 1/3) im) im) (exp im) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (pow (exp im) -2))
2.0ms	re	@	inf	((* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg 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))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (exp (neg im)) (exp im)) 1/2) (- (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (exp (neg im)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (sinh (neg im)) (neg im) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/60 (* im im)) (* (* (- (* -1/60 (* im im)) 1/3) im) im) (exp im) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (pow (exp im) -2))

simplify158.0ms (1.8%)

Memory

-25.5MiB live, 203.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	299	1187
1	939	1012
2	3446	976
3	7902	976
0	8001	918

Stop Event

1×	iter limit
1×	node limit

Counts

85 → 85

Calls

Call 1

Inputs
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))))))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im))))))))))
(- (exp (neg im)) (/ 1 (exp (neg im))))
(- (+ (exp (neg im)) (* -1/2 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))) (/ 1 (exp (neg im))))
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/24 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) (/ 1 (exp (neg im))))
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/24 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) (/ 1 (exp (neg im))))
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 (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 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)
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)))
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im)))))
(cos re)
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* -1 (* im (cos re)))
(* -1 (cos re))
(* 1/2 (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 (cos re)))
(* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re)))))
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re)))))))
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (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))
(* im (- (* -1/6 (pow im 2)) 1))
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
(+ 1 (* -1 im))
(+ 1 (* im (- (* 1/2 im) 1)))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(* -1/3 im)
(* im (- (* -1/60 (pow im 2)) 1/3))
(* -1/60 (pow im 2))
(* -1/3 (pow im 2))
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3))
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(* -2/3 im)
(* im (- (* 7/9 (pow im 2)) 2/3))
(* im (- (* (pow im 2) (+ 7/9 (* -403/540 (pow im 2)))) 2/3))
(* im (- (* (pow im 2) (+ 7/9 (* (pow im 2) (- (* 5207/7560 (pow im 2)) 403/540)))) 2/3))
(+ 1 (* -2 im))
(+ 1 (* im (- (* 2 im) 2)))
(+ 1 (* im (- (* im (+ 2 (* -4/3 im))) 2)))
(- (exp (neg im)) (exp im))
(exp (neg im))
(* -1/60 (pow im 3))
(* -1 (* (pow im 3) (+ 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))))))
(exp im)
(/ (- (exp (neg im)) (/ 1 (exp (neg im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))
(/ 1 (pow (exp im) 2))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(- (exp (* -1 im)) (/ 1 (exp (* -1 im))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(exp (* -1 im))
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(/ (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))

Outputs
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))))))
(fma.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64))) (.f64 re re) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg 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 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(- (exp (neg im)) (/ 1 (exp (neg im))))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (+ (exp (neg im)) (* -1/2 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))) (/ 1 (exp (neg im))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/24 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) (/ 1 (exp (neg im))))
(fma.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64))) (*.f64 re re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/24 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) (/ 1 (exp (neg im))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
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 (-.f64 (.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 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64))) (*.f64 re re) #s(literal 1 binary64))
(* 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 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 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)))))))
(fma.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64))) (.f64 re re) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #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))))))))
(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 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(* -1 im)
(neg.f64 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(.f64 im (fma.f64 (.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))
(+ (* -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 (.f64 #s(literal 1/720 binary64) re) re #s(literal -1/24 binary64))) (.f64 im (fma.f64 (.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* 1/2 (pow re 2)) 1)
(-.f64 (.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 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/24 binary64) (-.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(- (* (pow re 2) (+ 1/2 (* (pow re 2) (- (* 1/720 (pow re 2)) 1/24)))) 1)
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 re re)) #s(literal 1/24 binary64)) (-.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 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 (-.f64 (.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 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/1440 binary64) (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64))) (*.f64 re re) #s(literal 1/2 binary64))
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))
(cos re)
(cos.f64 re)
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(* -1 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(* -1 (cos re))
(neg.f64 (cos.f64 re))
(* 1/2 (cos re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(* 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 (cos re)))
(.f64 (.f64 #s(literal -2 binary64) (cos.f64 re)) im)
(* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re)))))
(.f64 (.f64 (cos.f64 re) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64))) im)
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re)))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64))) (.f64 (.f64 #s(literal -2 binary64) (cos.f64 re)) im))
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (pow im 2) (cos re)))))))))
(.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (cos.f64 re) (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64))) (.f64 (cos.f64 re) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)))) im)
(* -2 im)
(*.f64 #s(literal -2 binary64) im)
(* im (- (* -1/3 (pow im 2)) 2))
(.f64 (-.f64 (.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 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) 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 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.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)
(* im (- (* -1/6 (pow im 2)) 1))
(.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)
(+ 1 (* -1 im))
(-.f64 #s(literal 1 binary64) im)
(+ 1 (* im (- (* 1/2 im) 1)))
(fma.f64 (-.f64 (*.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 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) im) #s(literal 1 binary64)) im #s(literal 1 binary64))
(* -1/3 im)
(*.f64 #s(literal -1/3 binary64) im)
(* im (- (* -1/60 (pow im 2)) 1/3))
(.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
(* -1/60 (pow im 2))
(.f64 #s(literal -1/60 binary64) (.f64 im im))
(* -1/3 (pow im 2))
(.f64 #s(literal -1/3 binary64) (.f64 im im))
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3))
(.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) 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))
(* -2/3 im)
(*.f64 #s(literal -2/3 binary64) im)
(* im (- (* 7/9 (pow im 2)) 2/3))
(.f64 (-.f64 (.f64 #s(literal 7/9 binary64) (*.f64 im im)) #s(literal 2/3 binary64)) im)
(* im (- (* (pow im 2) (+ 7/9 (* -403/540 (pow im 2)))) 2/3))
(.f64 (fma.f64 (.f64 #s(literal 7/9 binary64) im) im (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -403/540 binary64)) #s(literal 2/3 binary64))) im)
(* im (- (* (pow im 2) (+ 7/9 (* (pow im 2) (- (* 5207/7560 (pow im 2)) 403/540)))) 2/3))
(.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 5207/7560 binary64) (.f64 im im)) #s(literal 403/540 binary64)) (-.f64 (.f64 #s(literal 7/9 binary64) (*.f64 im im)) #s(literal 2/3 binary64))) im)
(+ 1 (* -2 im))
(fma.f64 #s(literal -2 binary64) im #s(literal 1 binary64))
(+ 1 (* im (- (* 2 im) 2)))
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 2 binary64)) im #s(literal 1 binary64))
(+ 1 (* im (- (* im (+ 2 (* -4/3 im))) 2)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) im #s(literal 2 binary64)) im) #s(literal 2 binary64)) im #s(literal 1 binary64))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp (neg im))
(exp.f64 (neg.f64 im))
(* -1/60 (pow im 3))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/60 binary64))
(* -1 (* (pow im 3) (+ 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 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)))
(exp im)
(exp.f64 im)
(/ (- (exp (neg im)) (/ 1 (exp (neg im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))
(/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (exp.f64 (*.f64 #s(literal -2 binary64) im))))
(/ 1 (pow (exp im) 2))
(exp.f64 (*.f64 #s(literal -2 binary64) im))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))
(- (exp (* -1 im)) (/ 1 (exp (* -1 im))))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(exp (* -1 im))
(exp.f64 (neg.f64 im))
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(/ (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))
(/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (exp.f64 (*.f64 #s(literal -2 binary64) im))))

rewrite252.0ms (2.9%)

Memory

37.3MiB live, 312.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	260
0	75	202
1	243	177
2	1508	177
0	8571	177

Stop Event

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

Counts

24 → 1 043

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (cosh.f64 im)) (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (cosh.f64 (/.f64 (.f64 #s(literal -2 binary64) im) #s(literal 2 binary64))) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (cosh.f64 (/.f64 (fma.f64 #s(literal -1 binary64) im im) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 im) im) #s(literal 2 binary64))))))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (cosh.f64 (/.f64 (+.f64 im (neg.f64 im)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 im (neg.f64 im)) #s(literal 2 binary64))))))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (cosh.f64 (/.f64 (+.f64 im im) #s(literal 2 binary64))) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (cosh.f64 im)))
(.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (cosh.f64 (/.f64 (.f64 #s(literal -2 binary64) im) #s(literal 2 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))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (cosh.f64 (/.f64 (fma.f64 #s(literal -1 binary64) im im) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 im) im) #s(literal 2 binary64))))))
(.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (cosh.f64 (/.f64 (+.f64 im (neg.f64 im)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 im (neg.f64 im)) #s(literal 2 binary64))))))
(.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (cosh.f64 (/.f64 (+.f64 im im) #s(literal 2 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))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (cosh.f64 im)))
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(exp.f64 (*.f64 #s(literal -2 binary64) im))
(+.f64 (.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))))
(+.f64 (.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (.f64 (exp.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im))))
(+.f64 (cosh.f64 (.f64 #s(literal -2 binary64) im)) (sinh.f64 (.f64 #s(literal -2 binary64) im)))

eval212.0ms (2.4%)

Memory: 8.7MiB live, 316.9MiB allocated
Compiler: Compiled 51 661 to 4 670 computations (91% saved)

prune39.0ms (0.4%)

Memory

-18.5MiB live, 106.6MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	1 207	16	1 223
Fresh	2	1	3
Picked	4	1	5
Done	0	0	0
Total	1 213	18	1 231

Accuracy

100.0%

Counts

1 231 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.5%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (.f64 (sinh.f64 im) #s(literal 2 binary64))) (neg.f64 (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
	50.5%	(.f64 (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (.f64 (/.f64 (neg.f64 (.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))))
▶	44.1%	(.f64 (.f64 (cos.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (.f64 im im))))) #s(literal 1/2 binary64))
	70.8%	(.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
	50.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (.f64 (/.f64 (neg.f64 (.f64 (sinh.f64 im) #s(literal 2 binary64))) (+.f64 (pow.f64 (exp.f64 im) #s(literal -6 binary64)) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64))))))
▶	98.8%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))))
	62.8%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.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 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
	65.3%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
	86.8%	#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (.f64 (.f64 (cos.f64 re) 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 (neg.f64 (cos.f64 re)) im))
	86.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im))))
▶	69.1%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
	65.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)))
▶	62.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
	60.1%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
	39.9%	#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))))
	42.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 im (fma.f64 (.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
▶	34.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))

Compiler

Compiled 1 078 to 755 computations (30% saved)

simplify131.0ms (1.5%)

Memory

35.7MiB live, 223.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 re)
cost-diff	0	(.f64 (cos.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (*.f64 im im)))))
cost-diff	4	(.f64 (.f64 (cos.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (.f64 im im))))) #s(literal 1/2 binary64))
cost-diff	6	(/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (*.f64 im im))
cost-diff	0	(neg.f64 im)
cost-diff	0	(sinh.f64 (neg.f64 im))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
cost-diff	0	(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64))
cost-diff	0	(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)
cost-diff	0	#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
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	(.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 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)) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	386
0	92	371
1	177	369
2	442	355
3	1773	324
0	9132	324

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)) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
#s(literal 2 binary64)
(cosh.f64 im)
im
(exp.f64 im)
(pow.f64 (exp.f64 im) #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))
(*.f64 #s(literal -2/3 binary64) im)
#s(literal -2/3 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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)
(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64))
(.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) #s(literal 1/6 binary64)) im) im)
(.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im)
(-.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) #s(literal 1/6 binary64))
(.f64 #s(literal -1/120 binary64) (.f64 im im))
#s(literal -1/120 binary64)
(*.f64 im im)
im
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
im
(.f64 (.f64 (cos.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (.f64 im im))))) #s(literal 1/2 binary64))
(.f64 (cos.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (*.f64 im im)))))
(cos.f64 re)
re
(.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (.f64 im im))))
#s(literal 2 binary64)
(sinh.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (*.f64 im im)))
(/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (*.f64 im im))
(pow.f64 (neg.f64 im) #s(literal 3 binary64))
(neg.f64 im)
im
#s(literal 3 binary64)
(*.f64 im im)
#s(literal 1/2 binary64)

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))))
(.f64 (.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (.f64 #s(literal -2/3 binary64) im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -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 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))
(.f64 #s(approx (/ ( 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (.f64 #s(literal -2/3 binary64) im)) (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))
(fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
(*.f64 (cosh.f64 im) #s(literal 2 binary64))
#s(literal 2 binary64)
(cosh.f64 im)
im
(exp.f64 im)
(pow.f64 (exp.f64 im) #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))
(*.f64 #s(literal -2/3 binary64) im)
#s(literal -2/3 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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)
(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64))
(.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) #s(literal 1/6 binary64)) im) im)
(.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im)
(.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im)
(.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im)
(-.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) #s(literal 1/6 binary64))
(-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))
(.f64 #s(literal -1/120 binary64) (.f64 im im))
(.f64 (.f64 im im) #s(literal -1/120 binary64))
#s(literal -1/120 binary64)
(*.f64 im im)
im
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
im
(.f64 (.f64 (cos.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (.f64 im im))))) #s(literal 1/2 binary64))
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
(.f64 (cos.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (*.f64 im im)))))
(.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (sinh.f64 (neg.f64 im)))
(cos.f64 re)
re
(.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (.f64 im im))))
(*.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64))
#s(literal 2 binary64)
(sinh.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (*.f64 im im)))
(sinh.f64 (neg.f64 im))
(/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (*.f64 im im))
(neg.f64 im)
(pow.f64 (neg.f64 im) #s(literal 3 binary64))
(neg.f64 im)
im
#s(literal 3 binary64)
(*.f64 im im)
#s(literal 1/2 binary64)

localize282.0ms (3.2%)

Memory

-14.4MiB live, 355.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 re)
accuracy	0.01171875	(sinh.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (*.f64 im im)))
accuracy	0.05859375	(.f64 (cos.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (*.f64 im im)))))
accuracy	19.082346655178927	(/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (*.f64 im im))
accuracy	0.0	(neg.f64 im)
accuracy	0.01171875	(sinh.f64 (neg.f64 im))
accuracy	11.750371958083964	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
accuracy	0.078125	(.f64 #s(literal -1/120 binary64) (.f64 im im))
accuracy	0.16796875	(.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im)
accuracy	0.48750694160595437	#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))
accuracy	11.750371958083964	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
accuracy	0.0	(neg.f64 im)
accuracy	0.9637253179506091	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
accuracy	11.742715944414964	#s(approx (* (neg (cos re)) im) (neg.f64 im))
accuracy	0.05859375	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))))
accuracy	0.18359375	(*.f64 #s(literal -2/3 binary64) im)
accuracy	0.6171833716604116	(.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))
accuracy	1.0424383100414683	#s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))

Samples

95.0ms	75×	1	valid
83.0ms	124×	0	exit
59.0ms	46×	2	valid
4.0ms	11×	0	valid

Compiler

Compiled 325 to 50 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 207.0ms

ival-mult: 47.0ms (22.7% of total)

const: 43.0ms (20.8% of total)

ival-exp: 33.0ms (15.9% of total)

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

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

adjust: 12.0ms (5.8% of total)

ival-cos: 8.0ms (3.9% of total)

ival-div: 5.0ms (2.4% of total)

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

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

ival-add: 2.0ms (1% of total)

ival-neg: 2.0ms (1% of total)

exact: 1.0ms (0.5% of total)

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

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

series39.0ms (0.4%)

Memory

-20.5MiB live, 60.3MiB allocated

Counts

21 → 73

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(cos.f64 re)
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 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)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)
(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
(sinh.f64 (neg.f64 im))
(/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (*.f64 im im))
(.f64 (.f64 (cos.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (.f64 im im))))) #s(literal 1/2 binary64))
(.f64 (cos.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (*.f64 im im)))))
#s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))
(*.f64 #s(literal -2/3 binary64) im)
(.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im)
(.f64 #s(literal -1/120 binary64) (.f64 im im))
(sinh.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (*.f64 im im)))

Outputs
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))))))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg 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 (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 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 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(+ (* -1/4 (* (pow re 2) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) (* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(+ (* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* (pow re 2) (+ (* -1/4 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* 1/48 (* (pow re 2) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))))))
(+ (* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* (pow re 2) (+ (* -1/4 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) (* 1/48 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))))))
(- (exp (* -1 im)) (/ 1 (exp (* -1 im))))
(- (+ (exp (* -1 im)) (* -1/2 (* (pow re 2) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))) (/ 1 (exp (* -1 im))))
(- (+ (exp (* -1 im)) (* (pow re 2) (+ (* -1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* 1/24 (* (pow re 2) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))))) (/ 1 (exp (* -1 im))))
(- (+ (exp (* -1 im)) (* (pow re 2) (+ (* -1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) (* 1/24 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))))))) (/ 1 (exp (* -1 im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(* 1/2 (cos re))
(cos re)
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* -1 (* im (cos re)))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 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))
(* im (- (* -1/6 (pow im 2)) 1))
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
-1
(- (* -1/6 (pow im 2)) 1)
(- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)
(* -2 (* im (cos re)))
(* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re)))))
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re)))))))
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (pow im 2) (cos re)))))))))
(* -2/3 im)
(* im (- (* 7/9 (pow im 2)) 2/3))
(* im (- (* (pow im 2) (+ 7/9 (* -403/540 (pow im 2)))) 2/3))
(* im (- (* (pow im 2) (+ 7/9 (* (pow im 2) (- (* 5207/7560 (pow im 2)) 403/540)))) 2/3))
(* -1/6 im)
(* im (- (* -1/120 (pow im 2)) 1/6))
(* -1/120 (pow im 2))
(- (exp (neg im)) (/ 1 (exp (neg im))))
(* -1/120 (pow im 5))
(* -1 (* (pow im 5) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(* (pow im 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120))
(* -1/120 (pow im 4))
(* -1 (* (pow im 4) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(* (pow im 4) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120))
(/ (- (exp (neg im)) (/ 1 (exp (neg im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))
(* -1/120 (pow im 3))
(* -1 (* (pow im 3) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(* -1 (* (pow im 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow im 2))) (/ 1 (pow im 4))))))
(/ (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))

Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	im	@	inf	((* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (* 1/2 (cos re)) (cos re) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh (neg im)) (/ (pow (neg im) 3) (* im im)) (* (* (cos re) (* 2 (sinh (/ (pow (neg im) 3) (* im im))))) 1/2) (* (cos re) (* 2 (sinh (/ (pow (neg im) 3) (* im im))))) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (* -2/3 im) (* (- (* -1/120 (* im im)) 1/6) im) (* -1/120 (* im im)) (sinh (/ (pow (neg im) 3) (* im im))))
8.0ms	re	@	0	((* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (* 1/2 (cos re)) (cos re) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh (neg im)) (/ (pow (neg im) 3) (* im im)) (* (* (cos re) (* 2 (sinh (/ (pow (neg im) 3) (* im im))))) 1/2) (* (cos re) (* 2 (sinh (/ (pow (neg im) 3) (* im im))))) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (* -2/3 im) (* (- (* -1/120 (* im im)) 1/6) im) (* -1/120 (* im im)) (sinh (/ (pow (neg im) 3) (* im im))))
5.0ms	im	@	-inf	((* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (* 1/2 (cos re)) (cos re) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh (neg im)) (/ (pow (neg im) 3) (* im im)) (* (* (cos re) (* 2 (sinh (/ (pow (neg im) 3) (* im im))))) 1/2) (* (cos re) (* 2 (sinh (/ (pow (neg im) 3) (* im im))))) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (* -2/3 im) (* (- (* -1/120 (* im im)) 1/6) im) (* -1/120 (* im im)) (sinh (/ (pow (neg im) 3) (* im im))))
3.0ms	re	@	inf	((* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (* 1/2 (cos re)) (cos re) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh (neg im)) (/ (pow (neg im) 3) (* im im)) (* (* (cos re) (* 2 (sinh (/ (pow (neg im) 3) (* im im))))) 1/2) (* (cos re) (* 2 (sinh (/ (pow (neg im) 3) (* im im))))) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (* -2/3 im) (* (- (* -1/120 (* im im)) 1/6) im) (* -1/120 (* im im)) (sinh (/ (pow (neg im) 3) (* im im))))
3.0ms	im	@	0	((* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (* 1/2 (cos re)) (cos re) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh (neg im)) (/ (pow (neg im) 3) (* im im)) (* (* (cos re) (* 2 (sinh (/ (pow (neg im) 3) (* im im))))) 1/2) (* (cos re) (* 2 (sinh (/ (pow (neg im) 3) (* im im))))) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (* -2/3 im) (* (- (* -1/120 (* im im)) 1/6) im) (* -1/120 (* im im)) (sinh (/ (pow (neg im) 3) (* im im))))

simplify163.0ms (1.9%)

Memory

22.2MiB live, 216.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	286	1221
1	927	1011
2	3323	969
3	7737	969
0	8203	919

Stop Event

1×	iter limit
1×	node limit

Counts

73 → 73

Calls

Call 1

Inputs
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))))))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg 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 (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 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 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(+ (* -1/4 (* (pow re 2) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) (* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(+ (* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* (pow re 2) (+ (* -1/4 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* 1/48 (* (pow re 2) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))))))
(+ (* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* (pow re 2) (+ (* -1/4 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) (* 1/48 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))))))
(- (exp (* -1 im)) (/ 1 (exp (* -1 im))))
(- (+ (exp (* -1 im)) (* -1/2 (* (pow re 2) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))) (/ 1 (exp (* -1 im))))
(- (+ (exp (* -1 im)) (* (pow re 2) (+ (* -1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* 1/24 (* (pow re 2) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))))) (/ 1 (exp (* -1 im))))
(- (+ (exp (* -1 im)) (* (pow re 2) (+ (* -1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) (* 1/24 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))))))) (/ 1 (exp (* -1 im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(* 1/2 (cos re))
(cos re)
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* -1 (* im (cos re)))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 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))
(* im (- (* -1/6 (pow im 2)) 1))
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
-1
(- (* -1/6 (pow im 2)) 1)
(- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)
(* -2 (* im (cos re)))
(* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re)))))
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re)))))))
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (pow im 2) (cos re)))))))))
(* -2/3 im)
(* im (- (* 7/9 (pow im 2)) 2/3))
(* im (- (* (pow im 2) (+ 7/9 (* -403/540 (pow im 2)))) 2/3))
(* im (- (* (pow im 2) (+ 7/9 (* (pow im 2) (- (* 5207/7560 (pow im 2)) 403/540)))) 2/3))
(* -1/6 im)
(* im (- (* -1/120 (pow im 2)) 1/6))
(* -1/120 (pow im 2))
(- (exp (neg im)) (/ 1 (exp (neg im))))
(* -1/120 (pow im 5))
(* -1 (* (pow im 5) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(* (pow im 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120))
(* -1/120 (pow im 4))
(* -1 (* (pow im 4) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(* (pow im 4) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120))
(/ (- (exp (neg im)) (/ 1 (exp (neg im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))
(* -1/120 (pow im 3))
(* -1 (* (pow im 3) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(* -1 (* (pow im 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow im 2))) (/ 1 (pow im 4))))))
(/ (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))

Outputs
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))))))
(fma.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64))) (.f64 re re) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg 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 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #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 (-.f64 (.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 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/1440 binary64) (-.f64 (.f64 #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 (-.f64 (.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 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64))) (*.f64 re re) #s(literal 1 binary64))
(* 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 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 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)))))))
(fma.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64))) (.f64 re re) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #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))))))))
(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 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(* -1 im)
(neg.f64 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(.f64 im (fma.f64 (.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(fma.f64 (.f64 im (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64))) (*.f64 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 (.f64 #s(literal 1/720 binary64) re) re #s(literal -1/24 binary64))) (.f64 im (fma.f64 (.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) (* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* (pow re 2) (+ (* -1/4 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* 1/48 (* (pow re 2) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))))))
(fma.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64))) (.f64 re re) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* (pow re 2) (+ (* -1/4 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) (* 1/48 (- (exp (* -1 im)) (/ 1 (exp (* -1 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 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(- (exp (* -1 im)) (/ 1 (exp (* -1 im))))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (+ (exp (* -1 im)) (* -1/2 (* (pow re 2) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))) (/ 1 (exp (* -1 im))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(- (+ (exp (* -1 im)) (* (pow re 2) (+ (* -1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* 1/24 (* (pow re 2) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))))) (/ 1 (exp (* -1 im))))
(fma.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64))) (*.f64 re re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(- (+ (exp (* -1 im)) (* (pow re 2) (+ (* -1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) (* 1/24 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))))))) (/ 1 (exp (* -1 im))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (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 (neg im)) (exp im))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(* -1 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 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 (-.f64 (.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 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) 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 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.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)
(* im (- (* -1/6 (pow im 2)) 1))
(.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)
-1
#s(literal -1 binary64)
(- (* -1/6 (pow im 2)) 1)
(-.f64 (.f64 (.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)
(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64))
(* -2 (* im (cos re)))
(.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) im)
(* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re)))))
(.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re)))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64))) (.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) im))
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (pow im 2) (cos re)))))))))
(.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (cos.f64 re) (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64))) (.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)
(* -2/3 im)
(*.f64 #s(literal -2/3 binary64) im)
(* im (- (* 7/9 (pow im 2)) 2/3))
(.f64 (-.f64 (.f64 #s(literal 7/9 binary64) (*.f64 im im)) #s(literal 2/3 binary64)) im)
(* im (- (* (pow im 2) (+ 7/9 (* -403/540 (pow im 2)))) 2/3))
(.f64 (fma.f64 (.f64 #s(literal 7/9 binary64) im) im (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -403/540 binary64)) #s(literal 2/3 binary64))) im)
(* im (- (* (pow im 2) (+ 7/9 (* (pow im 2) (- (* 5207/7560 (pow im 2)) 403/540)))) 2/3))
(.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 5207/7560 binary64) (.f64 im im)) #s(literal 403/540 binary64)) (-.f64 (.f64 #s(literal 7/9 binary64) (*.f64 im im)) #s(literal 2/3 binary64))) im)
(* -1/6 im)
(*.f64 #s(literal -1/6 binary64) im)
(* im (- (* -1/120 (pow im 2)) 1/6))
(.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im)
(* -1/120 (pow im 2))
(.f64 #s(literal -1/120 binary64) (.f64 im im))
(- (exp (neg im)) (/ 1 (exp (neg im))))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1/120 (pow im 5))
(*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64))
(* -1 (* (pow im 5) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 im im)) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 5 binary64)))
(* (pow im 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120))
(.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 im im)) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/120 binary64))) (pow.f64 im #s(literal 5 binary64)))
(* -1/120 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64))
(* -1 (* (pow im 4) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 im im)) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120))
(.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 im im)) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/120 binary64))))
(/ (- (exp (neg im)) (/ 1 (exp (neg im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))
(/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))
(* -1/120 (pow im 3))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/120 binary64))
(* -1 (* (pow im 3) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 im im)) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 3 binary64)))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* -1 (* (pow im 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow im 2))) (/ 1 (pow im 4))))))
(.f64 (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 im im)) #s(literal -1/120 binary64))) (pow.f64 im #s(literal 5 binary64)))
(/ (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))
(/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))

rewrite67.0ms (0.8%)

Memory

-7.0MiB live, 71.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	301
0	92	286
1	276	245
0	1674	245

Stop Event

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

Counts

21 → 174

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(cos.f64 re)
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 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)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)
(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
(sinh.f64 (neg.f64 im))
(/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (*.f64 im im))
(.f64 (.f64 (cos.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (.f64 im im))))) #s(literal 1/2 binary64))
(.f64 (cos.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (*.f64 im im)))))
#s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))
(*.f64 #s(literal -2/3 binary64) im)
(.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im)
(.f64 #s(literal -1/120 binary64) (.f64 im im))
(sinh.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (*.f64 im im)))

Outputs
(.f64 (.f64 (.f64 #s(approx (/ ( 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (.f64 #s(literal -2/3 binary64) im)) (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (cos.f64 re))
(.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (/ ( 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (.f64 #s(literal -2/3 binary64) im))) (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(.f64 (.f64 (.f64 (cos.f64 re) #s(approx (/ ( 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (.f64 #s(literal -2/3 binary64) im))) (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(.f64 (.f64 (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))
(.f64 (.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (.f64 #s(literal -2/3 binary64) im)) (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 #s(approx (/ ( 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (.f64 #s(literal -2/3 binary64) im)) (.f64 (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(.f64 (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (.f64 #s(approx (/ ( 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (.f64 #s(literal -2/3 binary64) im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(approx (/ ( 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (.f64 #s(literal -2/3 binary64) im)) (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (/ ( 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (.f64 #s(literal -2/3 binary64) im)) (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 (cos.f64 re) #s(approx (/ ( 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (.f64 #s(literal -2/3 binary64) im))) (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(fma.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) re))
(cos.f64 (neg.f64 (neg.f64 re)))
(cos.f64 (neg.f64 re))
(cos.f64 re)
(+.f64 (.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(.f64 #s(approx (/ ( 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (.f64 #s(literal -2/3 binary64) im)) (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(.f64 (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -4 binary64))) #s(approx (/ ( 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))) (-.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal -6 binary64)) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(approx (/ ( 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))) (fma.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 #s(approx (/ ( 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (-.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -4 binary64)))) (-.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(/.f64 (.f64 #s(approx (/ ( 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (+.f64 (pow.f64 (exp.f64 im) #s(literal -6 binary64)) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64))))
(fma.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (.f64 #s(literal -2/3 binary64) im)) (.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))))
(fma.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (.f64 #s(literal -2/3 binary64) im)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(fma.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (.f64 #s(literal -2/3 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (.f64 #s(literal -2/3 binary64) im)) (.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))))
(+.f64 (.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(approx (/ ( 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (.f64 #s(literal -2/3 binary64) im))) (.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))))
(+.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(approx (/ ( 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (.f64 #s(literal -2/3 binary64) im))) (.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))))
(+.f64 (.f64 #s(approx (/ ( 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (.f64 #s(literal -2/3 binary64) im)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(+.f64 (.f64 #s(approx (/ ( 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (.f64 #s(literal -2/3 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 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))
(*.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3/2 binary64)) (fabs.f64 im)) (/.f64 (pow.f64 (neg.f64 im) #s(literal 3/2 binary64)) (fabs.f64 im)))
(*.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3/2 binary64)) (neg.f64 im)) (/.f64 (pow.f64 (neg.f64 im) #s(literal 3/2 binary64)) (neg.f64 im)))
(*.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3/2 binary64)) im) (/.f64 (pow.f64 (neg.f64 im) #s(literal 3/2 binary64)) im))
(.f64 (/.f64 (.f64 im im) (fabs.f64 im)) (/.f64 (neg.f64 im) (fabs.f64 im)))
(.f64 (/.f64 (neg.f64 im) (fabs.f64 im)) (/.f64 (.f64 im im) (fabs.f64 im)))
(*.f64 (/.f64 (neg.f64 im) (neg.f64 im)) (neg.f64 im))
(*.f64 (/.f64 (neg.f64 im) im) im)
(.f64 (pow.f64 (neg.f64 im) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (neg.f64 im) #s(literal 3/2 binary64)) (.f64 im im)))
(.f64 (.f64 im im) (/.f64 (neg.f64 im) (*.f64 im im)))
(.f64 (neg.f64 im) (/.f64 (.f64 im im) (*.f64 im im)))
(*.f64 (neg.f64 im) (/.f64 (neg.f64 im) (neg.f64 im)))
(*.f64 im (/.f64 (neg.f64 im) im))
(/.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (fabs.f64 im)) (fabs.f64 im))
(/.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (neg.f64 im)) (neg.f64 im))
(/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (*.f64 im im))
(/.f64 (*.f64 (neg.f64 im) im) im)
(/.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (neg.f64 im) im))
(/.f64 (*.f64 im im) (neg.f64 im))
(neg.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)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)
(.f64 im (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1 binary64)) im) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1 binary64)) im) (+.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 2 binary64))))
(/.f64 (.f64 im (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im #s(literal 1 binary64)))
(/.f64 (.f64 im (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 2 binary64)) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 3 binary64)) (+.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 2 binary64)))))
(-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64))
(*.f64 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))))
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (.f64 (cosh.f64 im) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(/.f64 (*.f64 (sinh.f64 (neg.f64 im)) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 2 binary64))
(sinh.f64 (neg.f64 im))
(neg.f64 (sinh.f64 im))
(-.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64)))
(-.f64 (.f64 #s(literal 0 binary64) (cosh.f64 im)) (.f64 #s(literal 1 binary64) (sinh.f64 im)))
(+.f64 (/.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3/2 binary64)) (fabs.f64 im)) (/.f64 (pow.f64 (neg.f64 im) #s(literal 3/2 binary64)) (fabs.f64 im)))
(*.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3/2 binary64)) (neg.f64 im)) (/.f64 (pow.f64 (neg.f64 im) #s(literal 3/2 binary64)) (neg.f64 im)))
(*.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3/2 binary64)) im) (/.f64 (pow.f64 (neg.f64 im) #s(literal 3/2 binary64)) im))
(.f64 (/.f64 (.f64 im im) (fabs.f64 im)) (/.f64 (neg.f64 im) (fabs.f64 im)))
(.f64 (/.f64 (neg.f64 im) (fabs.f64 im)) (/.f64 (.f64 im im) (fabs.f64 im)))
(*.f64 (/.f64 (neg.f64 im) (neg.f64 im)) (neg.f64 im))
(*.f64 (/.f64 (neg.f64 im) im) im)
(.f64 (pow.f64 (neg.f64 im) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (neg.f64 im) #s(literal 3/2 binary64)) (.f64 im im)))
(.f64 (.f64 im im) (/.f64 (neg.f64 im) (*.f64 im im)))
(.f64 (neg.f64 im) (/.f64 (.f64 im im) (*.f64 im im)))
(*.f64 (neg.f64 im) (/.f64 (neg.f64 im) (neg.f64 im)))
(*.f64 im (/.f64 (neg.f64 im) im))
(/.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (fabs.f64 im)) (fabs.f64 im))
(/.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (neg.f64 im)) (neg.f64 im))
(/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (*.f64 im im))
(/.f64 (*.f64 (neg.f64 im) im) im)
(/.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (neg.f64 im) im))
(/.f64 (*.f64 im im) (neg.f64 im))
(neg.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 1/2 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 re))) (sinh.f64 (neg.f64 im)))
(.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (sinh.f64 (neg.f64 im))) #s(literal 1/2 binary64))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(*.f64 (cos.f64 re) (sinh.f64 (neg.f64 im)))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (sinh.f64 (neg.f64 im))))
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 (cos.f64 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)))) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(.f64 (.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (sinh.f64 (neg.f64 im)))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) (cos.f64 re))
(.f64 (sinh.f64 (neg.f64 im)) (.f64 #s(literal 2 binary64) (cos.f64 re)))
(.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)))
(.f64 (cos.f64 re) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
(/.f64 (.f64 (cos.f64 re) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (.f64 (cosh.f64 im) #s(literal 2 binary64)))
(/.f64 (.f64 (cos.f64 re) (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cos.f64 re))) (sinh.f64 (neg.f64 im)) (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)))
(fma.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (.f64 (sinh.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (sinh.f64 (neg.f64 im))) #s(literal 1/2 binary64) (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)))
(fma.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)))
(fma.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re) (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)))
(fma.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)))
(fma.f64 (cos.f64 re) (sinh.f64 (neg.f64 im)) (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (sinh.f64 (neg.f64 im))) (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)))
(+.f64 (.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) (.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)))
#s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))
(*.f64 #s(literal -2/3 binary64) im)
(*.f64 im #s(literal -2/3 binary64))
(.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im)
(.f64 im (-.f64 (.f64 (*.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64)) im) (+.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/36 binary64)) (pow.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 im (-.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))
(/.f64 (.f64 im (-.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64))) (+.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/36 binary64)) (pow.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal -1/120 binary64) (fabs.f64 im)) (fabs.f64 im))
(.f64 (.f64 #s(literal -1/120 binary64) (neg.f64 im)) (neg.f64 im))
(.f64 (.f64 #s(literal -1/120 binary64) im) im)
(.f64 (fabs.f64 im) (.f64 (fabs.f64 im) #s(literal -1/120 binary64)))
(.f64 (.f64 im im) #s(literal -1/120 binary64))
(.f64 #s(literal -1/120 binary64) (.f64 im im))
(.f64 (neg.f64 im) (.f64 (neg.f64 im) #s(literal -1/120 binary64)))
(.f64 im (.f64 #s(literal -1/120 binary64) im))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64))
(*.f64 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))))
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (.f64 (cosh.f64 im) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(/.f64 (*.f64 (sinh.f64 (neg.f64 im)) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 2 binary64))
(sinh.f64 (neg.f64 im))
(neg.f64 (sinh.f64 im))
(-.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64)))
(-.f64 (.f64 #s(literal 0 binary64) (cosh.f64 im)) (.f64 #s(literal 1 binary64) (sinh.f64 im)))
(+.f64 (/.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64)))

eval51.0ms (0.6%)

Memory: -14.2MiB live, 77.2MiB allocated
Compiler: Compiled 8 796 to 1 046 computations (88.1% saved)

prune25.0ms (0.3%)

Memory

18.1MiB live, 56.4MiB allocated

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	253	8	261
Fresh	0	12	12
Picked	1	4	5
Done	0	1	1
Total	254	25	279

Accuracy

100.0%

Counts

279 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.5%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (.f64 (sinh.f64 im) #s(literal 2 binary64))) (neg.f64 (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
	50.5%	(.f64 (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (.f64 (/.f64 (neg.f64 (.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))))
	98.8%	(.f64 (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (.f64 #s(approx (/ ( 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (.f64 #s(literal -2/3 binary64) im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
▶	98.8%	(.f64 (.f64 (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))
✓	44.1%	(.f64 (.f64 (cos.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (.f64 im im))))) #s(literal 1/2 binary64))
▶	70.8%	(.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
	50.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (.f64 (/.f64 (neg.f64 (.f64 (sinh.f64 im) #s(literal 2 binary64))) (+.f64 (pow.f64 (exp.f64 im) #s(literal -6 binary64)) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64))))))
	62.8%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.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 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
▶	65.3%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
	86.8%	#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (.f64 (.f64 (cos.f64 re) 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 (neg.f64 (cos.f64 re)) im))
	86.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im))))
✓	69.1%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
	38.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1 binary64)) im) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im #s(literal 1 binary64)))))
	65.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)))
	62.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
✓	62.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
	60.1%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
	60.1%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
	32.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64)))))
	39.9%	#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))))
	38.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 (neg.f64 im) im) im)))
▶	18.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 im im) (/.f64 (neg.f64 im) (*.f64 im im)))))
▶	42.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 im (fma.f64 (.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
✓	34.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))

Compiler

Compiled 1 520 to 1 056 computations (30.5% saved)

simplify157.0ms (1.8%)

Memory

-26.1MiB live, 125.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))
cost-diff	4	(.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
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	#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
cost-diff	0	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
cost-diff	0	#s(approx (* (neg (cos re)) im) (.f64 (.f64 im im) (/.f64 (neg.f64 im) (*.f64 im im))))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 im im) (/.f64 (neg.f64 im) (*.f64 im im)))))
cost-diff	3	(/.f64 (neg.f64 im) (*.f64 im im))
cost-diff	5	(.f64 (.f64 im im) (/.f64 (neg.f64 im) (*.f64 im im)))
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))
cost-diff	0	(.f64 im (fma.f64 (.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))
cost-diff	0	#s(approx (* (neg (cos re)) im) (.f64 im (fma.f64 (.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 im (fma.f64 (.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
cost-diff	0	(*.f64 (exp.f64 im) #s(literal 2 binary64))
cost-diff	0	(fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))
cost-diff	0	(.f64 (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
cost-diff	0	(.f64 (.f64 (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	70	458
0	108	444
1	213	442
2	568	421
3	2141	421
0	8306	421

Stop Event

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

Calls

Call 1

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

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

localize446.0ms (5.1%)

Memory

41.1MiB live, 359.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 im)
accuracy	0.01171875	(sinh.f64 (neg.f64 im))
accuracy	0.05859375	(.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))
accuracy	12.926204542658375	#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))
accuracy	0.078125	(.f64 #s(literal -1/60 binary64) (.f64 im im))
accuracy	0.16796875	(.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
accuracy	0.48749514444801034	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))
accuracy	12.92620544640399	#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
accuracy	0.9637253179506091	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 im im) (/.f64 (neg.f64 im) (*.f64 im im)))))
accuracy	11.742715944414964	#s(approx (* (neg (cos re)) im) (.f64 (.f64 im im) (/.f64 (neg.f64 im) (*.f64 im im))))
accuracy	13.953657347776153	(.f64 (.f64 im im) (/.f64 (neg.f64 im) (*.f64 im im)))
accuracy	13.967437134344538	(/.f64 (neg.f64 im) (*.f64 im im))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) re)
accuracy	0.9637253179506091	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 im (fma.f64 (.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
accuracy	3.024019069627472	(.f64 im (fma.f64 (.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))
accuracy	12.870374550415342	#s(approx (* (neg (cos re)) im) (.f64 im (fma.f64 (.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))
accuracy	0.04296875	(.f64 (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
accuracy	0.18359375	(*.f64 #s(literal -2/3 binary64) im)
accuracy	0.55078125	(.f64 (.f64 (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))
accuracy	1.0424383100414683	#s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))

Samples

220.0ms	75×	1	valid
103.0ms	124×	0	exit
76.0ms	46×	2	valid
5.0ms	11×	0	valid

Compiler

Compiled 340 to 60 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 277.0ms

ival-mult: 102.0ms (36.8% of total)

ival-exp: 86.0ms (31% of total)

adjust: 36.0ms (13% of total)

const: 11.0ms (4% of total)

ival-pow: 10.0ms (3.6% of total)

ival-add: 8.0ms (2.9% of total)

ival-sub: 6.0ms (2.2% of total)

ival-cos: 5.0ms (1.8% of total)

ival-div: 4.0ms (1.4% of total)

ival-cosh: 4.0ms (1.4% of total)

ival-neg: 2.0ms (0.7% of total)

exact: 1.0ms (0.4% of total)

ival-sinh: 1.0ms (0.4% of total)

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

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

series41.0ms (0.5%)

Memory

-34.2MiB live, 52.9MiB allocated

Counts

28 → 94

Calls

Call 1

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

Outputs
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))))))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im))))))))))
(* 1/2 (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))
(+ (* -1/4 (* (pow re 2) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))) (* 1/2 (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))))
(+ (* 1/2 (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))) (* (pow re 2) (+ (* -1/4 (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))) (* 1/48 (* (pow re 2) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))))))
(+ (* 1/2 (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))) (* (pow re 2) (+ (* -1/4 (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))) (* 1/48 (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))))))))
(* 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 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)
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)))
(pow re 2)
(- (exp (neg im)) (/ 1 (exp (neg im))))
(- (+ (exp (neg im)) (* -1/2 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))) (/ 1 (exp (neg im))))
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/24 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) (/ 1 (exp (neg im))))
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/24 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) (/ 1 (exp (neg im))))
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 re)
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(* 1/2 (* (cos re) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* -1 (* im (cos re)))
(* 1/2 (* im (pow re 2)))
(* (pow re 2) (+ (* -1 (/ im (pow re 2))) (* 1/2 im)))
(* 1/2 (pow re 2))
(* (pow re 2) (- 1/2 (/ 1 (pow re 2))))
(* 1/2 (cos re))
(* -1/4 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))
(* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im)))))
(cos re)
(* -1/2 (pow re 2))
(* (pow re 2) (- (/ 1 (pow re 2)) 1/2))
(* 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)))))))))
(* 3/2 (cos re))
(+ (* 3/2 (cos re)) (* 2 (* (pow im 2) (cos re))))
(+ (* 3/2 (cos re)) (* (pow im 2) (+ (* 2/3 (* (pow im 2) (cos re))) (* 2 (cos re)))))
(+ (* 3/2 (cos re)) (* (pow im 2) (+ (* 2 (cos re)) (* (pow im 2) (+ (* 4/45 (* (pow im 2) (cos re))) (* 2/3 (cos re)))))))
3
(+ 3 (* 4 (pow im 2)))
(+ 3 (* (pow im 2) (+ 4 (* 4/3 (pow im 2)))))
(+ 3 (* (pow im 2) (+ 4 (* (pow im 2) (+ 4/3 (* 8/45 (pow im 2)))))))
2
(+ 2 (* 2 im))
(+ 2 (* im (+ 2 im)))
(+ 2 (* im (+ 2 (* im (+ 1 (* 1/3 im))))))
(* im (- (* 1/2 (pow re 2)) 1))
(/ -1 im)
(* -2 (* im (cos re)))
(* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re)))))
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re)))))))
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (pow im 2) (cos re)))))))))
(* -2/3 im)
(* im (- (* 7/9 (pow im 2)) 2/3))
(* im (- (* (pow im 2) (+ 7/9 (* -403/540 (pow im 2)))) 2/3))
(* im (- (* (pow im 2) (+ 7/9 (* (pow im 2) (- (* 5207/7560 (pow im 2)) 403/540)))) 2/3))
(* -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))
(* -1/3 im)
(* im (- (* -1/60 (pow im 2)) 1/3))
(* -1/60 (pow im 2))
(* im (- (* -1/6 (pow im 2)) 1))
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
(+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))
(* 2 (exp im))
(/ (- (exp (neg im)) (/ 1 (exp (neg im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))
(- (exp (neg im)) (exp im))
(* -1/60 (pow im 3))
(* -1 (* (pow im 3) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(/ (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))
(- (exp (* -1 im)) (exp im))
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	im	@	inf	((* (* (+ (* (* (exp im) 2) (cosh im)) (pow (exp im) -2)) (* (cos re) 1/2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (+ (* (* (exp im) 2) (cosh im)) (pow (exp im) -2)) (* (cos re) 1/2)) (+ (* (* (exp im) 2) (cosh im)) (pow (exp im) -2)) (* (exp im) 2) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* im (+ (* (* 1/2 re) re) -1)) (+ (* (* 1/2 re) re) -1) (* (* im im) (/ (neg im) (* im im))) (/ (neg im) (* im im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (+ (* -1/2 (* re re)) 1) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (* -2/3 im) (* 1/2 re) (- (exp (- 0 im)) (exp im)) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/60 (* im im)) (sinh (neg im)) (neg im))
6.0ms	im	@	-inf	((* (* (+ (* (* (exp im) 2) (cosh im)) (pow (exp im) -2)) (* (cos re) 1/2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (+ (* (* (exp im) 2) (cosh im)) (pow (exp im) -2)) (* (cos re) 1/2)) (+ (* (* (exp im) 2) (cosh im)) (pow (exp im) -2)) (* (exp im) 2) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* im (+ (* (* 1/2 re) re) -1)) (+ (* (* 1/2 re) re) -1) (* (* im im) (/ (neg im) (* im im))) (/ (neg im) (* im im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (+ (* -1/2 (* re re)) 1) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (* -2/3 im) (* 1/2 re) (- (exp (- 0 im)) (exp im)) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/60 (* im im)) (sinh (neg im)) (neg im))
5.0ms	re	@	inf	((* (* (+ (* (* (exp im) 2) (cosh im)) (pow (exp im) -2)) (* (cos re) 1/2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (+ (* (* (exp im) 2) (cosh im)) (pow (exp im) -2)) (* (cos re) 1/2)) (+ (* (* (exp im) 2) (cosh im)) (pow (exp im) -2)) (* (exp im) 2) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* im (+ (* (* 1/2 re) re) -1)) (+ (* (* 1/2 re) re) -1) (* (* im im) (/ (neg im) (* im im))) (/ (neg im) (* im im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (+ (* -1/2 (* re re)) 1) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (* -2/3 im) (* 1/2 re) (- (exp (- 0 im)) (exp im)) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/60 (* im im)) (sinh (neg im)) (neg im))
4.0ms	re	@	-inf	((* (* (+ (* (* (exp im) 2) (cosh im)) (pow (exp im) -2)) (* (cos re) 1/2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (+ (* (* (exp im) 2) (cosh im)) (pow (exp im) -2)) (* (cos re) 1/2)) (+ (* (* (exp im) 2) (cosh im)) (pow (exp im) -2)) (* (exp im) 2) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* im (+ (* (* 1/2 re) re) -1)) (+ (* (* 1/2 re) re) -1) (* (* im im) (/ (neg im) (* im im))) (/ (neg im) (* im im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (+ (* -1/2 (* re re)) 1) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (* -2/3 im) (* 1/2 re) (- (exp (- 0 im)) (exp im)) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/60 (* im im)) (sinh (neg im)) (neg im))
4.0ms	im	@	0	((* (* (+ (* (* (exp im) 2) (cosh im)) (pow (exp im) -2)) (* (cos re) 1/2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (+ (* (* (exp im) 2) (cosh im)) (pow (exp im) -2)) (* (cos re) 1/2)) (+ (* (* (exp im) 2) (cosh im)) (pow (exp im) -2)) (* (exp im) 2) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* im (+ (* (* 1/2 re) re) -1)) (+ (* (* 1/2 re) re) -1) (* (* im im) (/ (neg im) (* im im))) (/ (neg im) (* im im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (+ (* -1/2 (* re re)) 1) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (* -2/3 im) (* 1/2 re) (- (exp (- 0 im)) (exp im)) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/60 (* im im)) (sinh (neg im)) (neg im))

simplify141.0ms (1.6%)

Memory

26.6MiB live, 216.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	328	1483
1	1082	1216
2	4475	1183
0	8579	1115

Stop Event

1×	iter limit
1×	node limit

Counts

94 → 94

Calls

Call 1

Inputs
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))))))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im))))))))))
(* 1/2 (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))
(+ (* -1/4 (* (pow re 2) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))) (* 1/2 (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))))
(+ (* 1/2 (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))) (* (pow re 2) (+ (* -1/4 (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))) (* 1/48 (* (pow re 2) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))))))
(+ (* 1/2 (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))) (* (pow re 2) (+ (* -1/4 (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))) (* 1/48 (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))))))))
(* 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 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)
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)))
(pow re 2)
(- (exp (neg im)) (/ 1 (exp (neg im))))
(- (+ (exp (neg im)) (* -1/2 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))) (/ 1 (exp (neg im))))
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/24 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) (/ 1 (exp (neg im))))
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/24 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) (/ 1 (exp (neg im))))
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 re)
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(* 1/2 (* (cos re) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* -1 (* im (cos re)))
(* 1/2 (* im (pow re 2)))
(* (pow re 2) (+ (* -1 (/ im (pow re 2))) (* 1/2 im)))
(* 1/2 (pow re 2))
(* (pow re 2) (- 1/2 (/ 1 (pow re 2))))
(* 1/2 (cos re))
(* -1/4 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))
(* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im)))))
(cos re)
(* -1/2 (pow re 2))
(* (pow re 2) (- (/ 1 (pow re 2)) 1/2))
(* 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)))))))))
(* 3/2 (cos re))
(+ (* 3/2 (cos re)) (* 2 (* (pow im 2) (cos re))))
(+ (* 3/2 (cos re)) (* (pow im 2) (+ (* 2/3 (* (pow im 2) (cos re))) (* 2 (cos re)))))
(+ (* 3/2 (cos re)) (* (pow im 2) (+ (* 2 (cos re)) (* (pow im 2) (+ (* 4/45 (* (pow im 2) (cos re))) (* 2/3 (cos re)))))))
3
(+ 3 (* 4 (pow im 2)))
(+ 3 (* (pow im 2) (+ 4 (* 4/3 (pow im 2)))))
(+ 3 (* (pow im 2) (+ 4 (* (pow im 2) (+ 4/3 (* 8/45 (pow im 2)))))))
2
(+ 2 (* 2 im))
(+ 2 (* im (+ 2 im)))
(+ 2 (* im (+ 2 (* im (+ 1 (* 1/3 im))))))
(* im (- (* 1/2 (pow re 2)) 1))
(/ -1 im)
(* -2 (* im (cos re)))
(* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re)))))
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re)))))))
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (pow im 2) (cos re)))))))))
(* -2/3 im)
(* im (- (* 7/9 (pow im 2)) 2/3))
(* im (- (* (pow im 2) (+ 7/9 (* -403/540 (pow im 2)))) 2/3))
(* im (- (* (pow im 2) (+ 7/9 (* (pow im 2) (- (* 5207/7560 (pow im 2)) 403/540)))) 2/3))
(* -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))
(* -1/3 im)
(* im (- (* -1/60 (pow im 2)) 1/3))
(* -1/60 (pow im 2))
(* im (- (* -1/6 (pow im 2)) 1))
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
(+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))
(* 2 (exp im))
(/ (- (exp (neg im)) (/ 1 (exp (neg im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))
(- (exp (neg im)) (exp im))
(* -1/60 (pow im 3))
(* -1 (* (pow im 3) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(/ (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))
(- (exp (* -1 im)) (exp im))
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))

Outputs
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))))))
(fma.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64))) (.f64 re re) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im))))))))))
(fma.f64 (-.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 (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)))))
(* 1/2 (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))) (* 1/2 (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))))
(.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))) (* (pow re 2) (+ (* -1/4 (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))) (* 1/48 (* (pow re 2) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))))))
(fma.f64 (.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))) (* (pow re 2) (+ (* -1/4 (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))) (* 1/48 (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))))))))
(fma.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)))))
(* 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 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 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)))))))
(fma.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64))) (.f64 re re) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #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))))))))
(fma.f64 (-.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 (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)))))
(* -1 im)
(neg.f64 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) im (neg.f64 im))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 (.f64 re re) im) (.f64 #s(literal 1/2 binary64) im)) 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 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 re re) im) (.f64 #s(literal -1/24 binary64) im)) re) re (.f64 #s(literal 1/2 binary64) im)) (.f64 re re) (neg.f64 im))
-1
#s(literal -1 binary64)
(- (* 1/2 (pow re 2)) 1)
(-.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 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 (-.f64 (.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 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(pow re 2)
(*.f64 re re)
(- (exp (neg im)) (/ 1 (exp (neg im))))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (+ (exp (neg im)) (* -1/2 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))) (/ 1 (exp (neg im))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 re re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/24 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) (/ 1 (exp (neg im))))
(fma.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64))) (*.f64 re re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/24 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) (/ 1 (exp (neg im))))
(fma.f64 (fma.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/720 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)))) (.f64 re re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
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 (-.f64 (.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 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64))
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(* 1/2 (* (cos re) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (cos.f64 re))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(* -1 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(* 1/2 (* im (pow re 2)))
(.f64 (.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)
(* (pow re 2) (+ (* -1 (/ im (pow re 2))) (* 1/2 im)))
(.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 (/.f64 (neg.f64 im) re) re)) (.f64 re re))
(* 1/2 (pow re 2))
(.f64 (.f64 re re) #s(literal 1/2 binary64))
(* (pow re 2) (- 1/2 (/ 1 (pow re 2))))
(.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)
(* 1/2 (cos re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(* -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)
(* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))
(cos re)
(cos.f64 re)
(* -1/2 (pow re 2))
(.f64 #s(literal -1/2 binary64) (.f64 re re))
(* (pow re 2) (- (/ 1 (pow re 2)) 1/2))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) re) re)
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(.f64 (.f64 (cos.f64 re) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) im)
(* 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 (cos.f64 re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (.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))))) im)
(* 3/2 (cos re))
(*.f64 #s(literal 3/2 binary64) (cos.f64 re))
(+ (* 3/2 (cos re)) (* 2 (* (pow im 2) (cos re))))
(.f64 (cos.f64 re) (fma.f64 (.f64 #s(literal 2 binary64) im) im #s(literal 3/2 binary64)))
(+ (* 3/2 (cos re)) (* (pow im 2) (+ (* 2/3 (* (pow im 2) (cos re))) (* 2 (cos re)))))
(fma.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal 2/3 binary64) (.f64 im im) #s(literal 2 binary64))) (.f64 im im) (.f64 #s(literal 3/2 binary64) (cos.f64 re)))
(+ (* 3/2 (cos re)) (* (pow im 2) (+ (* 2 (cos re)) (* (pow im 2) (+ (* 4/45 (* (pow im 2) (cos re))) (* 2/3 (cos re)))))))
(fma.f64 (cos.f64 re) (fma.f64 (.f64 #s(literal 2 binary64) im) im #s(literal 3/2 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (cos.f64 re) (fma.f64 #s(literal 4/45 binary64) (.f64 im im) #s(literal 2/3 binary64)))))
3
#s(literal 3 binary64)
(+ 3 (* 4 (pow im 2)))
(fma.f64 #s(literal 4 binary64) (*.f64 im im) #s(literal 3 binary64))
(+ 3 (* (pow im 2) (+ 4 (* 4/3 (pow im 2)))))
(fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 im im) #s(literal 4 binary64)) (.f64 im im) #s(literal 3 binary64))
(+ 3 (* (pow im 2) (+ 4 (* (pow im 2) (+ 4/3 (* 8/45 (pow im 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (.f64 im im) #s(literal 4/3 binary64)) (.f64 im im) #s(literal 4 binary64)) (*.f64 im im) #s(literal 3 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 2 im))
(fma.f64 #s(literal 2 binary64) im #s(literal 2 binary64))
(+ 2 (* im (+ 2 im)))
(fma.f64 (+.f64 #s(literal 2 binary64) im) im #s(literal 2 binary64))
(+ 2 (* im (+ 2 (* im (+ 1 (* 1/3 im))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) im #s(literal 1 binary64)) im #s(literal 2 binary64)) im #s(literal 2 binary64))
(* im (- (* 1/2 (pow re 2)) 1))
(.f64 (-.f64 (.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im)
(/ -1 im)
(/.f64 #s(literal -1 binary64) im)
(* -2 (* im (cos re)))
(.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) im)
(* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re)))))
(.f64 (.f64 (cos.f64 re) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64))) im)
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re)))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64))) (.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) im))
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (pow im 2) (cos re)))))))))
(.f64 (fma.f64 (cos.f64 re) (fma.f64 (.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (cos.f64 re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))))) im)
(* -2/3 im)
(*.f64 #s(literal -2/3 binary64) im)
(* im (- (* 7/9 (pow im 2)) 2/3))
(.f64 (-.f64 (.f64 #s(literal 7/9 binary64) (*.f64 im im)) #s(literal 2/3 binary64)) im)
(* im (- (* (pow im 2) (+ 7/9 (* -403/540 (pow im 2)))) 2/3))
(.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -403/540 binary64) (.f64 im im) #s(literal 7/9 binary64)) im) im) #s(literal 2/3 binary64)) im)
(* im (- (* (pow im 2) (+ 7/9 (* (pow im 2) (- (* 5207/7560 (pow im 2)) 403/540)))) 2/3))
(.f64 (-.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 5207/7560 binary64) (.f64 im im)) #s(literal 403/540 binary64)) (.f64 im im) #s(literal 7/9 binary64)) im) im) #s(literal 2/3 binary64)) im)
(* -2 im)
(*.f64 #s(literal -2 binary64) im)
(* im (- (* -1/3 (pow im 2)) 2))
(.f64 (-.f64 (.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 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) 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 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.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)
(* -1/3 im)
(*.f64 #s(literal -1/3 binary64) im)
(* im (- (* -1/60 (pow im 2)) 1/3))
(.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
(* -1/60 (pow im 2))
(.f64 #s(literal -1/60 binary64) (.f64 im im))
(* im (- (* -1/6 (pow im 2)) 1))
(.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)
(+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))
(+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)))
(* 2 (exp im))
(*.f64 (exp.f64 im) #s(literal 2 binary64))
(/ (- (exp (neg im)) (/ 1 (exp (neg im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))
(/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1/60 (pow im 3))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/60 binary64))
(* -1 (* (pow im 3) (+ 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 3 binary64)))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))
(/ (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))
(/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))

rewrite76.0ms (0.9%)

Memory

5.8MiB live, 80.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	70	358
0	108	344
1	349	312
0	2111	312

Stop Event

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

Counts

28 → 313

Calls

Call 1

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

Outputs
(.f64 (.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (.f64 #s(literal -2/3 binary64) im)) (.f64 (cos.f64 re) (fma.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) #s(literal 1/2 binary64))
(.f64 (.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (.f64 #s(literal -2/3 binary64) im)) (fma.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (.f64 #s(literal -2/3 binary64) im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (.f64 #s(literal 1/2 binary64) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))))
(.f64 #s(approx (/ ( 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (.f64 #s(literal -2/3 binary64) im)) (.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 (fma.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))))
(.f64 (fma.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (.f64 #s(approx (/ ( 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (.f64 #s(literal -2/3 binary64) im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -4 binary64))) (.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (.f64 #s(literal -2/3 binary64) im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (-.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal -6 binary64)) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64))) (.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (.f64 #s(literal -2/3 binary64) im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (fma.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 (fma.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 re))
(.f64 (.f64 (cos.f64 re) (fma.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(.f64 (fma.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -4 binary64))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (-.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal -6 binary64)) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -4 binary64)))) (-.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (exp.f64 im) #s(literal -6 binary64)) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64))))
(fma.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(fma.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(+.f64 (.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(+.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(+.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -4 binary64)) (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)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -4 binary64)))) (neg.f64 (-.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal -6 binary64)) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -4 binary64))) (-.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal -6 binary64)) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 im) #s(literal -4 binary64)) (-.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal -6 binary64)) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (exp.f64 (neg.f64 im))) (neg.f64 (exp.f64 (neg.f64 im))) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 (exp.f64 (neg.f64 im))) (fabs.f64 (exp.f64 (neg.f64 im))) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cosh.f64 im) (exp.f64 im)) #s(literal 2 binary64) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))
(fma.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))
(fma.f64 (cosh.f64 im) (*.f64 #s(literal 2 binary64) (exp.f64 im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (exp.f64 im)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) (exp.f64 im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))
(fma.f64 (exp.f64 im) (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (pow.f64 (exp.f64 im) #s(literal -4 binary64)) (-.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(-.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (*.f64 (neg.f64 (exp.f64 (neg.f64 im))) (exp.f64 (neg.f64 im))))
(-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (.f64 (neg.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64))) (exp.f64 im)))
(-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (.f64 (neg.f64 (cosh.f64 im)) (.f64 #s(literal 2 binary64) (exp.f64 im))))
(-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (exp.f64 im))) (cosh.f64 im)))
(-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (.f64 (cosh.f64 im) (exp.f64 im))))
(-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (.f64 (neg.f64 (exp.f64 im)) (.f64 (cosh.f64 im) #s(literal 2 binary64))))
(+.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (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 -6 binary64)) (fma.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))
(+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (exp.f64 im))
(*.f64 (exp.f64 im) #s(literal 2 binary64))
(fma.f64 (cosh.f64 im) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
(fma.f64 (cosh.f64 im) #s(literal 2 binary64) (*.f64 (sinh.f64 im) #s(literal 2 binary64)))
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(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))))
(.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) (sinh.f64 (neg.f64 im)))
(.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)))))
(.f64 (.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))) #s(literal 2 binary64)) (sinh.f64 (neg.f64 im)))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
(.f64 (sinh.f64 (neg.f64 im)) (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))) #s(literal 2 binary64)))
(.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) #s(literal 2 binary64)) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
(neg.f64 (.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))) #s(literal 2 binary64)) (sinh.f64 im)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) #s(literal 2 binary64))) (sinh.f64 (neg.f64 im)) (.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)))) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) (.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))
(fma.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (sinh.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))
(fma.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)))) #s(literal 1/2 binary64) (.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))
(fma.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))
(fma.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) (.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))
(fma.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) (sinh.f64 (neg.f64 im)) (.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)))) (.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))
(+.f64 (.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)))) (.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)))))
#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 re re)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 re re) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 re re)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 re re)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 re re) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 re re)))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 re re) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 re re))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 re)) (fabs.f64 re) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 re)) (neg.f64 re) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/2 binary64) re) (.f64 re #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))
(fma.f64 (fabs.f64 re) (*.f64 (fabs.f64 re) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 re) (*.f64 (neg.f64 re) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 re re)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 re re) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
(fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 re (*.f64 #s(literal -1/2 binary64) re) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 re re)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 re re)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) re)) re))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 re re)) #s(literal -1/2 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 re re)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 re re)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 re re)))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 re re)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re)))
#s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))
(*.f64 #s(literal -2/3 binary64) im)
(*.f64 im #s(literal -2/3 binary64))
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 re #s(literal 1/2 binary64))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))
(.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
(.f64 im (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) im) (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal 1/3 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 3 binary64)) #s(literal 1/27 binary64)) im) (+.f64 (fma.f64 (.f64 im im) #s(literal -1/180 binary64) #s(literal 1/9 binary64)) (pow.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 2 binary64))))
(/.f64 (.f64 im (-.f64 (pow.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal 1/3 binary64)))
(/.f64 (.f64 im (-.f64 (pow.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 3 binary64)) #s(literal 1/27 binary64))) (+.f64 (fma.f64 (.f64 im im) #s(literal -1/180 binary64) #s(literal 1/9 binary64)) (pow.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal -1/60 binary64) (fabs.f64 im)) (fabs.f64 im))
(.f64 (.f64 #s(literal -1/60 binary64) (neg.f64 im)) (neg.f64 im))
(.f64 (.f64 #s(literal -1/60 binary64) im) im)
(.f64 (fabs.f64 im) (.f64 (fabs.f64 im) #s(literal -1/60 binary64)))
(.f64 #s(literal -1/60 binary64) (.f64 im im))
(.f64 (neg.f64 im) (.f64 (neg.f64 im) #s(literal -1/60 binary64)))
(.f64 (.f64 im im) #s(literal -1/60 binary64))
(.f64 im (.f64 #s(literal -1/60 binary64) im))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64))
(*.f64 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))))
(.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64)))
(/.f64 (*.f64 (sinh.f64 (neg.f64 im)) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 2 binary64))
(sinh.f64 (neg.f64 im))
(neg.f64 (sinh.f64 im))
(-.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64)))
(-.f64 (.f64 #s(literal 0 binary64) (cosh.f64 im)) (.f64 #s(literal 1 binary64) (sinh.f64 im)))
(+.f64 (/.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64)))
(.f64 (.f64 (/.f64 (/.f64 (neg.f64 im) im) im) (fabs.f64 im)) (fabs.f64 im))
(.f64 (.f64 (/.f64 (/.f64 (neg.f64 im) im) im) (neg.f64 im)) (neg.f64 im))
(.f64 (/.f64 (.f64 im im) (fabs.f64 im)) (/.f64 (neg.f64 im) (fabs.f64 im)))
(*.f64 (/.f64 (neg.f64 im) im) im)
(.f64 (fabs.f64 im) (.f64 (fabs.f64 im) (/.f64 (/.f64 (neg.f64 im) im) im)))
(.f64 (/.f64 (/.f64 (neg.f64 im) im) im) (.f64 im im))
(.f64 (neg.f64 im) (.f64 (neg.f64 im) (/.f64 (/.f64 (neg.f64 im) im) im)))
(*.f64 (neg.f64 im) (/.f64 (neg.f64 im) (neg.f64 im)))
(.f64 (.f64 im im) (/.f64 (/.f64 (neg.f64 im) im) im))
(*.f64 #s(literal -1 binary64) im)
(*.f64 im (/.f64 (neg.f64 im) im))
(*.f64 im #s(literal -1 binary64))
(/.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (fabs.f64 im)) (fabs.f64 im))
(/.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (neg.f64 im)) (neg.f64 im))
(/.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) im) im)
(/.f64 (.f64 (/.f64 (neg.f64 im) im) (.f64 im im)) im)
(/.f64 (.f64 (.f64 im im) (/.f64 (neg.f64 im) im)) im)
(/.f64 (neg.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64))) (*.f64 (neg.f64 im) im))
(/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (*.f64 im im))
(/.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (neg.f64 im) im))
(/.f64 (*.f64 (neg.f64 im) im) im)
(/.f64 (*.f64 im im) (neg.f64 im))
(neg.f64 (.f64 (.f64 im im) (/.f64 im (*.f64 im im))))
(neg.f64 (.f64 (/.f64 im (.f64 im im)) (*.f64 im im)))
(neg.f64 im)
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 im im)) (/.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 im im)))
(-.f64 (/.f64 #s(literal 0 binary64) im) im)
(-.f64 #s(literal 0 binary64) im)

eval86.0ms (1%)

Memory: 0.6MiB live, 82.0MiB allocated
Compiler: Compiled 13 654 to 1 700 computations (87.5% saved)

prune36.0ms (0.4%)

Memory

-3.7MiB live, 69.9MiB allocated

Pruning

34 alts after pruning (29 fresh and 5 done)

	Pruned	Kept	Total
New	369	16	385
Fresh	2	13	15
Picked	4	1	5
Done	1	4	5
Total	376	34	410

Accuracy

100.0%

Counts

410 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.5%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (.f64 (sinh.f64 im) #s(literal 2 binary64))) (neg.f64 (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
	50.5%	(.f64 (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (.f64 (/.f64 (neg.f64 (.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))))
	98.8%	(.f64 (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (.f64 #s(approx (/ ( 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (.f64 #s(literal -2/3 binary64) im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
	49.6%	(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal -6 binary64)) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(approx (/ ( 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))
	70.8%	(.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))))
	52.2%	(.f64 #s(approx ( (+ (* (* (exp im) 2) (cosh im)) (pow (exp im) -2)) (* (cos re) 1/2)) (.f64 #s(literal 3/2 binary64) (cos.f64 re))) #s(approx (/ ( 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))
	65.9%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
	62.8%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.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 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
	65.3%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/60 binary64) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
	63.3%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 #s(approx ( (- (* -1/60 (* im im)) 1/3) im) (*.f64 #s(literal -1/3 binary64) im)) im) #s(literal 2 binary64)) im)))
	53.7%	(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
	14.0%	(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
	86.8%	#s(approx (* (* (+ (* (* (exp im) 2) (cosh im)) (pow (exp im) -2)) (* (cos re) 1/2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (.f64 (.f64 (cos.f64 re) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) im))
✓	52.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
	86.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im))))
✓	69.1%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
	38.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1 binary64)) im) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im #s(literal 1 binary64)))))
	65.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)))
	62.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
✓	62.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
	60.1%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
	60.1%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
	32.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64)))))
	43.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 re re) im) (.f64 #s(literal -1/24 binary64) im)) re) re (.f64 #s(literal 1/2 binary64) im)) (.f64 re re) (neg.f64 im))))
	39.9%	#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))))
	42.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 im (.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im))))
	31.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) im) (.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) im)) (.f64 im im)) (-.f64 (.f64 (.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) (neg.f64 im)))))
	38.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 (neg.f64 im) im) im)))
	34.3%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 (/.f64 (/.f64 (neg.f64 im) im) im) (neg.f64 im)) (neg.f64 im))))
	38.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 im im) #s(approx (/ (neg im) (* im im)) (/.f64 #s(literal -1 binary64) im)))))
✓	42.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 im (fma.f64 (.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
	42.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 im #s(approx (+ ( (* 1/2 re) re) -1) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)))))
	13.1%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 im #s(approx (+ ( (* 1/2 re) re) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64))))))
✓	34.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))

Compiler

Compiled 2 887 to 1 212 computations (58% saved)

regimes345.0ms (3.9%)

Memory

-144.3MiB live, 135.7MiB allocated

Counts

49 → 1

Calls

Call 1

Inputs
#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) (.f64 im #s(approx (+ ( (* 1/2 re) re) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 im (fma.f64 (.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 (neg.f64 im) im) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 im (.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 im im) #s(approx (/ (neg im) (* im im)) (/.f64 #s(literal -1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 im im) (/.f64 (neg.f64 im) (*.f64 im 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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 im #s(approx (+ ( (* 1/2 re) re) -1) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 #s(approx ( (- (* -1/60 (* im im)) 1/3) im) (*.f64 #s(literal -1/3 binary64) im)) im) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 (/.f64 (/.f64 (neg.f64 im) im) im) (neg.f64 im)) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/60 binary64) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 re re) im) (.f64 #s(literal -1/24 binary64) im)) re) re (.f64 #s(literal 1/2 binary64) im)) (.f64 re re) (neg.f64 im))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.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 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) im) (.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) im)) (.f64 im im)) (-.f64 (.f64 (.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(.f64 #s(approx ( (+ (* (* (exp im) 2) (cosh im)) (pow (exp im) -2)) (* (cos re) 1/2)) (.f64 #s(literal 3/2 binary64) (cos.f64 re))) #s(approx (/ ( 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))
(.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* (+ (* (* (exp im) 2) (cosh im)) (pow (exp im) -2)) (* (cos re) 1/2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (.f64 (.f64 (cos.f64 re) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) im))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) 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 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.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(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1 binary64)) im) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im #s(literal 1 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)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im))))
(.f64 (.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #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)))
(.f64 (.f64 (cos.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (.f64 im im))))) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))))
(.f64 (.f64 (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))
(.f64 (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (.f64 #s(approx (/ ( 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (.f64 #s(literal -2/3 binary64) im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))))
(.f64 (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (.f64 (/.f64 (neg.f64 (.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (.f64 (sinh.f64 im) #s(literal 2 binary64))) (neg.f64 (fma.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal -6 binary64)) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(approx (/ ( 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (.f64 (/.f64 (neg.f64 (.f64 (sinh.f64 im) #s(literal 2 binary64))) (+.f64 (pow.f64 (exp.f64 im) #s(literal -6 binary64)) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64))))))

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

Calls

6 calls:

279.0ms	(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
14.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
14.0ms	im
13.0ms	re
12.0ms	(cos.f64 re)

Results

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

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes72.0ms (0.8%)

Memory

-22.6MiB live, 98.3MiB allocated

Counts

38 → 3

Calls

Call 1

Inputs
#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) (.f64 im #s(approx (+ ( (* 1/2 re) re) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 im (fma.f64 (.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 (neg.f64 im) im) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 im (.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 im im) #s(approx (/ (neg im) (* im im)) (/.f64 #s(literal -1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 im im) (/.f64 (neg.f64 im) (*.f64 im 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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 im #s(approx (+ ( (* 1/2 re) re) -1) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 #s(approx ( (- (* -1/60 (* im im)) 1/3) im) (*.f64 #s(literal -1/3 binary64) im)) im) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 (/.f64 (/.f64 (neg.f64 im) im) im) (neg.f64 im)) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/60 binary64) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 re re) im) (.f64 #s(literal -1/24 binary64) im)) re) re (.f64 #s(literal 1/2 binary64) im)) (.f64 re re) (neg.f64 im))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.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 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) im) (.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) im)) (.f64 im im)) (-.f64 (.f64 (.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(.f64 #s(approx ( (+ (* (* (exp im) 2) (cosh im)) (pow (exp im) -2)) (* (cos re) 1/2)) (.f64 #s(literal 3/2 binary64) (cos.f64 re))) #s(approx (/ ( 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))
(.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* (+ (* (* (exp im) 2) (cosh im)) (pow (exp im) -2)) (* (cos re) 1/2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (.f64 (.f64 (cos.f64 re) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) im))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) 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 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.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(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1 binary64)) im) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im #s(literal 1 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)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im))))

Outputs

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

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

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

Calls

6 calls:

19.0ms	(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
13.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
11.0ms	re
10.0ms	im
10.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
95.5%	2	`re`
98.4%	3	`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)))`
95.5%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
95.5%	2	`(cos.f64 re)`
93.2%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes10.0ms (0.1%)

Memory

22.0MiB live, 22.0MiB allocated

Counts

37 → 3

Calls

Call 1

Inputs
#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) (.f64 im #s(approx (+ ( (* 1/2 re) re) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 im (fma.f64 (.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 (neg.f64 im) im) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 im (.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 im im) #s(approx (/ (neg im) (* im im)) (/.f64 #s(literal -1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 im im) (/.f64 (neg.f64 im) (*.f64 im 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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 im #s(approx (+ ( (* 1/2 re) re) -1) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 #s(approx ( (- (* -1/60 (* im im)) 1/3) im) (*.f64 #s(literal -1/3 binary64) im)) im) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 (/.f64 (/.f64 (neg.f64 im) im) im) (neg.f64 im)) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/60 binary64) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 re re) im) (.f64 #s(literal -1/24 binary64) im)) re) re (.f64 #s(literal 1/2 binary64) im)) (.f64 re re) (neg.f64 im))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.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 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) im) (.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) im)) (.f64 im im)) (-.f64 (.f64 (.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(.f64 #s(approx ( (+ (* (* (exp im) 2) (cosh im)) (pow (exp im) -2)) (* (cos re) 1/2)) (.f64 #s(literal 3/2 binary64) (cos.f64 re))) #s(approx (/ ( 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))
(.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* (+ (* (* (exp im) 2) (cosh im)) (pow (exp im) -2)) (* (cos re) 1/2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (.f64 (.f64 (cos.f64 re) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) im))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) 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 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.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(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1 binary64)) im) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im #s(literal 1 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)))

Outputs

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

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

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

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
99.9%	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 12 to 11 computations (8.3% saved)

regimes9.0ms (0.1%)

Memory

-19.6MiB live, 18.4MiB allocated

Counts

29 → 3

Calls

Call 1

Inputs
#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) (.f64 im #s(approx (+ ( (* 1/2 re) re) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 im (fma.f64 (.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 (neg.f64 im) im) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 im (.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 im im) #s(approx (/ (neg im) (* im im)) (/.f64 #s(literal -1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 im im) (/.f64 (neg.f64 im) (*.f64 im 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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 im #s(approx (+ ( (* 1/2 re) re) -1) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 #s(approx ( (- (* -1/60 (* im im)) 1/3) im) (*.f64 #s(literal -1/3 binary64) im)) im) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 (/.f64 (/.f64 (neg.f64 im) im) im) (neg.f64 im)) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/60 binary64) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 re re) im) (.f64 #s(literal -1/24 binary64) im)) re) re (.f64 #s(literal 1/2 binary64) im)) (.f64 re re) (neg.f64 im))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.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 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) im) (.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) im)) (.f64 im im)) (-.f64 (.f64 (.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(.f64 #s(approx ( (+ (* (* (exp im) 2) (cosh im)) (pow (exp im) -2)) (* (cos re) 1/2)) (.f64 #s(literal 3/2 binary64) (cos.f64 re))) #s(approx (/ ( 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))
(.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))))

Outputs

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

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

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

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
99.8%	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 12 to 11 computations (8.3% saved)

regimes8.0ms (0.1%)

Memory

16.7MiB live, 16.7MiB allocated

Counts

28 → 3

Calls

Call 1

Inputs
#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) (.f64 im #s(approx (+ ( (* 1/2 re) re) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 im (fma.f64 (.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 (neg.f64 im) im) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 im (.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 im im) #s(approx (/ (neg im) (* im im)) (/.f64 #s(literal -1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 im im) (/.f64 (neg.f64 im) (*.f64 im 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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 im #s(approx (+ ( (* 1/2 re) re) -1) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 #s(approx ( (- (* -1/60 (* im im)) 1/3) im) (*.f64 #s(literal -1/3 binary64) im)) im) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 (/.f64 (/.f64 (neg.f64 im) im) im) (neg.f64 im)) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/60 binary64) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 re re) im) (.f64 #s(literal -1/24 binary64) im)) re) re (.f64 #s(literal 1/2 binary64) im)) (.f64 re re) (neg.f64 im))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.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 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) im) (.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) im)) (.f64 im im)) (-.f64 (.f64 (.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(.f64 #s(approx ( (+ (* (* (exp im) 2) (cosh im)) (pow (exp im) -2)) (* (cos re) 1/2)) (.f64 #s(literal 3/2 binary64) (cos.f64 re))) #s(approx (/ ( 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))

Outputs

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

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

(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) 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
99.1%	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)

regimes48.0ms (0.6%)

Memory

-12.2MiB live, 104.9MiB allocated

Counts

26 → 2

Calls

Call 1

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

Outputs

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

(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))

Calls

6 calls:

10.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
7.0ms	re
7.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
7.0ms	im
7.0ms	(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
69.1%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
72.8%	2	`re`
81.5%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
81.5%	2	`(cos.f64 re)`
73.4%	2	`im`
81.7%	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)

regimes20.0ms (0.2%)

Memory

0.6MiB live, 39.8MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)))

(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))

Calls

3 calls:

7.0ms	(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
77.8%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
77.8%	2	`(cos.f64 re)`
78.0%	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)

regimes20.0ms (0.2%)

Memory

-12.5MiB live, 26.4MiB allocated

Counts

22 → 2

Calls

Call 1

Inputs
#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) (.f64 im #s(approx (+ ( (* 1/2 re) re) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 im (fma.f64 (.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 (neg.f64 im) im) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 im (.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 im im) #s(approx (/ (neg im) (* im im)) (/.f64 #s(literal -1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 im im) (/.f64 (neg.f64 im) (*.f64 im 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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 im #s(approx (+ ( (* 1/2 re) re) -1) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 #s(approx ( (- (* -1/60 (* im im)) 1/3) im) (*.f64 #s(literal -1/3 binary64) im)) im) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 (/.f64 (/.f64 (neg.f64 im) im) im) (neg.f64 im)) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/60 binary64) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 re re) im) (.f64 #s(literal -1/24 binary64) im)) re) re (.f64 #s(literal 1/2 binary64) im)) (.f64 re re) (neg.f64 im))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.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 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))

Outputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 re re) im) (*.f64 #s(literal -1/24 binary64) im)) re) re (*.f64 #s(literal 1/2 binary64) im)) (*.f64 re re) (neg.f64 im))))

Calls

3 calls:

8.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
6.0ms	(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
77.2%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
77.2%	2	`(cos.f64 re)`
77.3%	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)

regimes6.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

19 → 2

Calls

Call 1

Inputs
#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) (.f64 im #s(approx (+ ( (* 1/2 re) re) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 im (fma.f64 (.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 (neg.f64 im) im) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 im (.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 im im) #s(approx (/ (neg im) (* im im)) (/.f64 #s(literal -1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 im im) (/.f64 (neg.f64 im) (*.f64 im 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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 im #s(approx (+ ( (* 1/2 re) re) -1) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 #s(approx ( (- (* -1/60 (* im im)) 1/3) im) (*.f64 #s(literal -1/3 binary64) im)) im) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 (/.f64 (/.f64 (neg.f64 im) im) im) (neg.f64 im)) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/60 binary64) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))

Outputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)))

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

Calls

1 calls:

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
77.3%	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)

regimes5.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

17 → 2

Calls

Call 1

Inputs
#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) (.f64 im #s(approx (+ ( (* 1/2 re) re) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 im (fma.f64 (.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 (neg.f64 im) im) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 im (.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 im im) #s(approx (/ (neg im) (* im im)) (/.f64 #s(literal -1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 im im) (/.f64 (neg.f64 im) (*.f64 im 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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 im #s(approx (+ ( (* 1/2 re) re) -1) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 #s(approx ( (- (* -1/60 (* im im)) 1/3) im) (*.f64 #s(literal -1/3 binary64) im)) im) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 (/.f64 (/.f64 (neg.f64 im) im) im) (neg.f64 im)) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))

Outputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)))

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

Calls

1 calls:

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
77.3%	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)

regimes5.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
#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) (.f64 im #s(approx (+ ( (* 1/2 re) re) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 im (fma.f64 (.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 (neg.f64 im) im) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 im (.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 im im) #s(approx (/ (neg im) (* im im)) (/.f64 #s(literal -1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 im im) (/.f64 (neg.f64 im) (*.f64 im 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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 im #s(approx (+ ( (* 1/2 re) re) -1) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 #s(approx ( (- (* -1/60 (* im im)) 1/3) im) (*.f64 #s(literal -1/3 binary64) im)) im) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 (/.f64 (/.f64 (neg.f64 im) im) im) (neg.f64 im)) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)))

Outputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)))

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

Calls

1 calls:

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
77.2%	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)

regimes47.0ms (0.5%)

Memory

-21.5MiB live, 22.0MiB allocated

Counts

15 → 2

Calls

Call 1

Inputs
#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) (.f64 im #s(approx (+ ( (* 1/2 re) re) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 im (fma.f64 (.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 (neg.f64 im) im) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 im (.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 im im) #s(approx (/ (neg im) (* im im)) (/.f64 #s(literal -1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 im im) (/.f64 (neg.f64 im) (*.f64 im 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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 im #s(approx (+ ( (* 1/2 re) re) -1) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 #s(approx ( (- (* -1/60 (* im im)) 1/3) im) (*.f64 #s(literal -1/3 binary64) im)) im) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 (/.f64 (/.f64 (neg.f64 im) im) im) (neg.f64 im)) (neg.f64 im))))

Outputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))

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

Calls

3 calls:

38.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
4.0ms	(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
74.6%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
74.6%	2	`(cos.f64 re)`
74.7%	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)

regimes12.0ms (0.1%)

Memory

26.7MiB live, 26.8MiB allocated

Counts

13 → 2

Calls

Call 1

Inputs
#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) (.f64 im #s(approx (+ ( (* 1/2 re) re) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 im (fma.f64 (.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 (neg.f64 im) im) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 im (.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 im im) #s(approx (/ (neg im) (* im im)) (/.f64 #s(literal -1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 im im) (/.f64 (neg.f64 im) (*.f64 im 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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 im #s(approx (+ ( (* 1/2 re) re) -1) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)))))

Outputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))

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

Calls

3 calls:

4.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
4.0ms	(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
73.5%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
73.5%	2	`(cos.f64 re)`
73.6%	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)

regimes20.0ms (0.2%)

Memory

1.3MiB live, 37.7MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
#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) (.f64 im #s(approx (+ ( (* 1/2 re) re) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 im (fma.f64 (.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 (neg.f64 im) im) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 im (.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 im im) #s(approx (/ (neg im) (* im im)) (/.f64 #s(literal -1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 (.f64 im im) (/.f64 (neg.f64 im) (*.f64 im 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))))

Outputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))

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

Calls

5 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)))
3.0ms	re
3.0ms	im
3.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
3.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
64.6%	2	`re`
60.1%	1	`im`
70.7%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
70.7%	2	`(cos.f64 re)`
70.8%	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 20 to 23 computations (-15% saved)

regimes15.0ms (0.2%)

Memory

-10.1MiB live, 27.4MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

Calls

6 calls:

5.0ms	(cos.f64 re)
2.0ms	im
2.0ms	re
2.0ms	(*.f64 #s(literal 1/2 binary64) (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
54.2%	3	`im`
47.6%	2	`re`
51.2%	2	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
48.7%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
48.7%	2	`(cos.f64 re)`
61.9%	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 27 to 30 computations (-11.1% saved)

regimes12.0ms (0.1%)

Memory

-13.3MiB live, 23.8MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

Calls

6 calls:

4.0ms	re
2.0ms	im
2.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
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
42.8%	1	`re`
45.0%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
45.0%	2	`(cos.f64 re)`
44.6%	2	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
44.6%	2	`im`
45.1%	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 27 to 30 computations (-11.1% saved)

regimes7.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#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:

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

Results

Accuracy	Segments	Branch
34.4%	1	`re`
34.4%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
34.4%	1	`im`
34.4%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
34.4%	1	`(cos.f64 re)`
34.4%	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 27 to 30 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.6362527395555974e-8	+inf
0.0ms	-0.0017253837068242905	-0.00015018366906571767

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.6362527395555974e-8	+inf
0.0ms	-6.474964424629803e-7	-3.954561528796122e-7

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.6362527395555974e-8	+inf
0.0ms	-4.4520834907579854e-8	-6.124545315344676e-13

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.6362527395555974e-8	+inf
0.0ms	-4.4520834907579854e-8	-6.124545315344676e-13

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.6362527395555974e-8

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.6362527395555974e-8

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.6362527395555974e-8

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.6362527395555974e-8

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.6362527395555974e-8

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.6362527395555974e-8

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.6362527395555974e-8

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.6362527395555974e-8

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch3.0ms (0%)

Memory

-45.1MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.6362527395555974e-8

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.6362527395555974e-8
0.0ms	-0.006149684432351421	-0.0017253837068242905

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	0.0	5.6362527395555974e-8

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify141.0ms (1.6%)

Memory

21.1MiB live, 59.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	185	1347
1	281	1347
2	480	1347
3	1004	1307
4	2888	1307

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.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 -1152921504606847/1152921504606846976 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.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 944473296573929/9444732965739290427392 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)))) (.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 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 -4722366482869645/9444732965739290427392 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.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 944473296573929/9444732965739290427392 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) (.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 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 -3022314549036573/75557863725914323419136 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.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 944473296573929/9444732965739290427392 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (cos.f64 re)) im)) (.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 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 -3022314549036573/75557863725914323419136 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.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 944473296573929/9444732965739290427392 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (cos.f64 re)) im)) (.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) 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)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) 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)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (.f64 im im)) #s(literal 1 binary64)) im))) (.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) 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)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (.f64 im im)) #s(literal 1 binary64)) im))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 re re) im) (.f64 #s(literal -1/24 binary64) im)) re) re (.f64 #s(literal 1/2 binary64) im)) (.f64 re re) (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 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (.f64 im im)) #s(literal 1 binary64)) im))) (.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) 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)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (.f64 im im)) #s(literal 1 binary64)) im))) (.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) 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)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (.f64 im im)) #s(literal 1 binary64)) im))) (.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 #s(approx ( (- (* -1/60 (* im im)) 1/3) im) (*.f64 #s(literal -1/3 binary64) 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)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) (.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 #s(approx ( (- (* -1/60 (* im im)) 1/3) im) (*.f64 #s(literal -1/3 binary64) 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)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 im #s(approx (+ ( (* 1/2 re) re) -1) (.f64 (.f64 re re) #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 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (.f64 im #s(approx (+ ( (* 1/2 re) re) -1) (.f64 (.f64 re re) #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 -5764607523034235/1152921504606846976 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (.f64 (neg.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 (* (neg (cos re)) im) (.f64 im #s(approx (+ ( (* 1/2 re) re) -1) (.f64 (.f64 re re) #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 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 (* (neg (cos re)) im) (.f64 im #s(approx (+ ( (* 1/2 re) re) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))

Outputs
(.f64 (.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.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 -1152921504606847/1152921504606846976 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.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 944473296573929/9444732965739290427392 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)))) (.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -1152921504606847/1152921504606846976 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)))) (.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 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 -4722366482869645/9444732965739290427392 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.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 944473296573929/9444732965739290427392 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) (.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -4722366482869645/9444732965739290427392 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 944473296573929/9444732965739290427392 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 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 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 -3022314549036573/75557863725914323419136 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.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 944473296573929/9444732965739290427392 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (cos.f64 re)) im)) (.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -3022314549036573/75557863725914323419136 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (cos.f64 re)) im)) (.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 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 -3022314549036573/75557863725914323419136 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.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 944473296573929/9444732965739290427392 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (cos.f64 re)) im)) (.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -3022314549036573/75557863725914323419136 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (cos.f64 re)) im)) (.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) 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)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))))
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(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (.f64 im im)) #s(literal 1 binary64)) im))) (.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 #s(approx ( (- (* -1/60 (* im im)) 1/3) im) (*.f64 #s(literal -1/3 binary64) 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)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) (.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.f64 (.f64 #s(approx ( (- (* -1/60 (* im im)) 1/3) im) (*.f64 #s(literal -1/3 binary64) im)) im) #s(literal 2 binary64)) im))))
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(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/1152921504606846976 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (.f64 (neg.f64 im) im) im))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 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 (* (neg (cos re)) im) (.f64 im #s(approx (+ ( (* 1/2 re) re) -1) (.f64 (.f64 re re) #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 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 (* (neg (cos re)) im) (.f64 im #s(approx (+ ( (* 1/2 re) re) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 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 (* (neg (cos re)) im) (.f64 im #s(approx (+ ( (* 1/2 re) re) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))

soundness1.7s (19.6%)

Memory

18.6MiB live, 1 115.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	301
0	92	286
1	276	245
0	1674	245
0	328	1483
1	1082	1216
2	4475	1183
0	8579	1115
0	11	30
0	18	27
1	64	27
2	420	25
0	5001	25
0	46	260
0	75	202
1	243	177
2	1508	177
0	8571	177
0	299	1187
1	939	1012
2	3446	976
3	7902	976
0	8001	918
0	126	381
1	387	349
2	1286	341
3	5237	320
0	8363	297
0	70	358
0	108	344
1	349	312
0	2111	312
0	286	1221
1	927	1011
2	3323	969
3	7737	969
0	8203	919

Stop Event

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

Compiler

Compiled 2 331 to 1 011 computations (56.6% saved)

preprocess230.0ms (2.6%)

Memory: 12.3MiB live, 381.2MiB allocated
Remove: (abs re)
Compiler: Compiled 3 350 to 690 computations (79.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample2.1s (23.5%)

explain276.0ms (3.2%)

preprocess179.0ms (2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify130.0ms (1.5%)

localize64.0ms (0.7%)

series7.0ms (0.1%)

simplify236.0ms (2.7%)

rewrite151.0ms (1.7%)

eval39.0ms (0.4%)

prune32.0ms (0.4%)

simplify122.0ms (1.4%)

localize208.0ms (2.4%)

series77.0ms (0.9%)

simplify158.0ms (1.8%)

rewrite252.0ms (2.9%)

eval212.0ms (2.4%)

prune39.0ms (0.4%)

simplify131.0ms (1.5%)

localize282.0ms (3.2%)

series39.0ms (0.4%)

simplify163.0ms (1.9%)

rewrite67.0ms (0.8%)

eval51.0ms (0.6%)

prune25.0ms (0.3%)

simplify157.0ms (1.8%)

localize446.0ms (5.1%)

series41.0ms (0.5%)

simplify141.0ms (1.6%)

rewrite76.0ms (0.9%)

eval86.0ms (1%)

prune36.0ms (0.4%)

regimes345.0ms (3.9%)

regimes72.0ms (0.8%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes48.0ms (0.6%)

regimes20.0ms (0.2%)

regimes20.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes47.0ms (0.5%)

regimes12.0ms (0.1%)

regimes20.0ms (0.2%)

regimes15.0ms (0.2%)

regimes12.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch3.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify141.0ms (1.6%)

soundness1.7s (19.6%)

preprocess230.0ms (2.6%)

end0.0ms (0%)

Profiling