Metrics for math.sin on complex, imaginary part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample3.3s (29.6%)

Memory

93.6MiB live, 3 975.2MiB allocated

Samples

1.5s	1 467×	2	valid
881.0ms	2 456×	1	valid
613.0ms	4 333×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.4s

ival-exp: 1.2s (48.7% of total)

adjust: 420.0ms (17.7% of total)

ival-mult: 339.0ms (14.3% of total)

ival-cos: 301.0ms (12.7% of total)

ival-sub: 138.0ms (5.8% of total)

exact: 10.0ms (0.4% of total)

ival-true: 7.0ms (0.3% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain257.0ms (2.3%)

Memory

-17.4MiB live, 354.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
127	0	-	-	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
0	0	-	-	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
0	0	-	-	`(exp.f64 im)`
0	0	-	-	`#s(literal 0 binary64)`
0	0	-	-	`(cos.f64 re)`
0	0	-	-	`im`
0	0	-	-	`(-.f64 #s(literal 0 binary64) im)`
0	0	-	-	`re`
0	0	-	-	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
0	0	-	-	`#s(literal 1/2 binary64)`
0	1	(-1.3955799919243391e-123 -179.38577115280088)	-	`(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	127	0
`exp.f64`	`(exp.f64 (-.f64 #s(literal 0 binary64) im))`	sensitivity	1	1

Confusion

	Predicted +	Predicted -
+	127	0
-	1	128

Precision

0.9921875

Recall

1.0

Confusion?

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

Precision?

0.9844961240310077

Recall?

1.0

Freqs

test

number	freq
0	128
1	128

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

49.0ms	168×	1	valid
34.0ms	76×	2	valid
25.0ms	268×	0	valid

Compiler

Compiled 92 to 37 computations (59.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-exp: 40.0ms (46.8% of total)

adjust: 19.0ms (22.2% of total)

ival-cos: 11.0ms (12.9% of total)

ival-mult: 8.0ms (9.4% of total)

ival-sub: 6.0ms (7% of total)

exact: 1.0ms (1.2% of total)

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

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

preprocess131.0ms (1.2%)

Memory

14.4MiB live, 221.8MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.3%	(.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)

simplify126.0ms (1.1%)

Memory

-6.8MiB live, 187.5MiB 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)

localize63.0ms (0.6%)

Memory

17.6MiB live, 140.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 im)
accuracy	0.0	(cos.f64 re)
accuracy	0.046875	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
accuracy	29.233532543404607	(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))

Samples

23.0ms	38×	2	valid
19.0ms	84×	1	valid
13.0ms	134×	0	valid

Compiler

Compiled 40 to 13 computations (67.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-exp: 25.0ms (58.7% of total)

ival-cos: 6.0ms (14.1% of total)

adjust: 4.0ms (9.4% of total)

ival-mult: 4.0ms (9.4% of total)

ival-sub: 3.0ms (7% of total)

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

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

exact: 0.0ms (0% of total)

series26.0ms (0.2%)

Memory

-42.8MiB live, 17.7MiB 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
19.0ms	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))
2.0ms	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	@	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))

simplify315.0ms (2.8%)

Memory

45.9MiB live, 357.4MiB 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)))

rewrite187.0ms (1.7%)

Memory

-6.2MiB live, 169.3MiB 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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(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 im))))
(-.f64 (neg.f64 im) #s(literal 0 binary64))
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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 (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)))))
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(/.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))))
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(/.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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(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 #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))

eval54.0ms (0.5%)

Memory: -31.3MiB live, 50.5MiB allocated
Compiler: Compiled 5 110 to 871 computations (83% saved)

prune10.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	196	9	205
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	197	9	206

Accuracy

99.9%

Counts

206 → 9

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))
	50.2%	(.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))))))
	93.3%	(.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)))
▶	89.2%	(.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)))
	82.2%	(.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)))
▶	41.9%	#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)))
▶	51.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
▶	89.3%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.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))))
	82.2%	#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 436 to 334 computations (23.4% saved)

simplify135.0ms (1.2%)

Memory

40.4MiB live, 218.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(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))
cost-diff	0	(cos.f64 re)
cost-diff	0	(.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)))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.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))))
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	310
0	73	299
1	147	297
2	344	295
3	1195	273
4	5961	273
0	8250	273

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

localize300.0ms (2.7%)

Memory

-5.5MiB live, 440.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(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))
accuracy	0.0625	(.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)))
accuracy	0.0703125	(fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))
accuracy	6.830770579290593	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.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))))
accuracy	0.0	(exp.f64 (neg.f64 im))
accuracy	0.0	(exp.f64 im)
accuracy	19.9778848850322	#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	29.233532543404607	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
accuracy	0.09765625	(.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)
accuracy	0.1484375	(.f64 #s(literal -1/60 binary64) (.f64 im im))
accuracy	0.28515625	(.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
accuracy	6.82955668805133	#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	0.0859375	(*.f64 (neg.f64 (cos.f64 re)) im)
accuracy	30.726175076639866	#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	0.00390625	(sinh.f64 (neg.f64 im))
accuracy	0.046875	(.f64 (cos.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))

Samples

105.0ms	38×	2	valid
95.0ms	84×	1	valid
69.0ms	134×	0	valid

Compiler

Compiled 254 to 42 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 160.0ms

ival-exp: 54.0ms (33.8% of total)

const: 35.0ms (21.9% of total)

ival-mult: 28.0ms (17.5% of total)

adjust: 17.0ms (10.6% of total)

ival-sub: 9.0ms (5.6% of total)

ival-cos: 6.0ms (3.8% of total)

ival-add: 4.0ms (2.5% of total)

ival-pow: 3.0ms (1.9% of total)

ival-neg: 2.0ms (1.3% of total)

exact: 1.0ms (0.6% of total)

ival-sinh: 1.0ms (0.6% of total)

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

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

series43.0ms (0.4%)

Memory

-6.6MiB live, 53.1MiB allocated

Counts

24 → 93

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

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	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)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) (+ (* (+ (* -1/120 (* im im)) -1/6) (pow im 3)) (neg im))) (+ (* (+ (* -1/120 (* im im)) -1/6) (pow im 3)) (neg im)) (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) (+ (* -1/120 (* im im)) -1/6))
8.0ms	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)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) (+ (* (+ (* -1/120 (* im im)) -1/6) (pow im 3)) (neg im))) (+ (* (+ (* -1/120 (* im im)) -1/6) (pow im 3)) (neg im)) (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) (+ (* -1/120 (* im im)) -1/6))
5.0ms	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)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) (+ (* (+ (* -1/120 (* im im)) -1/6) (pow im 3)) (neg im))) (+ (* (+ (* -1/120 (* im im)) -1/6) (pow im 3)) (neg im)) (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) (+ (* -1/120 (* im im)) -1/6))
4.0ms	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)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) (+ (* (+ (* -1/120 (* im im)) -1/6) (pow im 3)) (neg im))) (+ (* (+ (* -1/120 (* im im)) -1/6) (pow im 3)) (neg im)) (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) (+ (* -1/120 (* im im)) -1/6))
4.0ms	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)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) (+ (* (+ (* -1/120 (* im im)) -1/6) (pow im 3)) (neg im))) (+ (* (+ (* -1/120 (* im im)) -1/6) (pow im 3)) (neg im)) (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) (+ (* -1/120 (* im im)) -1/6))

simplify208.0ms (1.9%)

Memory

18.6MiB live, 257.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	316	1407
1	1042	1202
2	4043	1143
0	8170	1074

Stop Event

1×	iter limit
1×	node limit

Counts

93 → 93

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

rewrite508.0ms (4.6%)

Memory

-74.2MiB live, 139.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	237
0	73	226
1	245	200
0	1472	200

Stop Event

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

Counts

24 → 274

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

Outputs
(.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 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.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 #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 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
(*.f64 (cos.f64 re) (sinh.f64 (neg.f64 im)))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64)))))
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(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/60 binary64)) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (.f64 im im)) (+.f64 (fma.f64 (.f64 im im) #s(literal -1/180 binary64) #s(literal 1/9 binary64)) (pow.f64 (.f64 (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (cosh.f64 im) (cosh.f64 im)) (.f64 (sinh.f64 im) (sinh.f64 im))) (exp.f64 (neg.f64 im)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (.f64 (sinh.f64 im) (sinh.f64 im)) (.f64 (cosh.f64 im) (sinh.f64 im)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(-.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im)))
(exp.f64 im)
(+.f64 (cosh.f64 im) (sinh.f64 im))
(+.f64 (sinh.f64 im) (cosh.f64 im))
(/.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) #s(literal 2 binary64))) (-.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/120 binary64) (.f64 im im))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (neg.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/1728000 binary64) (pow.f64 (.f64 im im) #s(literal 3 binary64)) #s(literal -1/216 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 (*.f64 im im) #s(literal 1/720 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) #s(literal -1/6 binary64)))
(/.f64 (fma.f64 #s(literal -1/1728000 binary64) (pow.f64 (.f64 im im) #s(literal 3 binary64)) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) #s(literal 2 binary64)) (.f64 (*.f64 im im) #s(literal 1/720 binary64)))))
(/.f64 (fma.f64 #s(literal -1/1728000 binary64) (pow.f64 (.f64 im im) #s(literal 3 binary64)) #s(literal -1/216 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 (*.f64 im im) #s(literal 1/720 binary64))))
(fma.f64 (*.f64 #s(literal -1/120 binary64) (fabs.f64 im)) (fabs.f64 im) #s(literal -1/6 binary64))
(fma.f64 (*.f64 #s(literal -1/120 binary64) (neg.f64 im)) (neg.f64 im) #s(literal -1/6 binary64))
(fma.f64 (*.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64))
(fma.f64 (fabs.f64 im) (*.f64 (fabs.f64 im) #s(literal -1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 (neg.f64 im) (*.f64 (neg.f64 im) #s(literal -1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 im (*.f64 #s(literal -1/120 binary64) im) #s(literal -1/6 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) #s(literal -1/6 binary64))))
(-.f64 #s(literal -1/6 binary64) (.f64 (neg.f64 (.f64 #s(literal -1/120 binary64) im)) im))
(-.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 im im)))
(-.f64 #s(literal -1/6 binary64) (.f64 (neg.f64 (.f64 im im)) #s(literal -1/120 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 im im) #s(literal 1/720 binary64)))) (/.f64 #s(literal -1/216 binary64) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))
(+.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) #s(literal -1/6 binary64))
(+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/120 binary64) (.f64 im im)))

eval53.0ms (0.5%)

Memory: -2.7MiB live, 119.7MiB allocated
Compiler: Compiled 10 459 to 1 490 computations (85.8% saved)

prune32.0ms (0.3%)

Memory

6.9MiB live, 72.5MiB allocated

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	350	17	367
Fresh	3	1	4
Picked	4	1	5
Done	0	0	0
Total	357	19	376

Accuracy

100.0%

Counts

376 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.9%	(.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))
	50.2%	(.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))))))
	60.4%	(.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)))
	60.7%	(.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)))
▶	59.6%	(.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)))
	60.7%	(.f64 #s(approx ( 1/2 (cos 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)))
▶	53.1%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (.f64 (neg.f64 (.f64 im im)) (cos.f64 re)) im))
	51.6%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (-.f64 (.f64 (cos.f64 re) (cos.f64 (PI.f64))) (*.f64 (sin.f64 re) (sin.f64 (PI.f64)))) im))
	51.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (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)))))) im))
✓	51.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
	38.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (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)))) im))
▶	40.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im))
	40.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) re) re) #s(literal 1 binary64))) im))
▶	68.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
	60.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)) (neg.f64 im))))
	64.0%	#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 (-.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)))
	54.1%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(literal 1 binary64)) im)))
	36.8%	#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)))))
▶	32.3%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))

Compiler

Compiled 1 120 to 827 computations (26.2% saved)

simplify140.0ms (1.3%)

Memory

16.4MiB live, 196.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 (*.f64 im im))
cost-diff	0	(.f64 (neg.f64 (.f64 im im)) (cos.f64 re))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (.f64 (neg.f64 (.f64 im im)) (cos.f64 re)) im))
cost-diff	4	(/.f64 (.f64 (neg.f64 (.f64 im im)) (cos.f64 re)) im)
cost-diff	0	(*.f64 re re)
cost-diff	0	(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
cost-diff	0	#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 (cos re) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
cost-diff	0	(neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
cost-diff	0	(.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im)
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (.f64 re re) #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	(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)))

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	48	363
0	72	357
1	140	357
2	313	357
3	790	351
4	2251	343
5	7414	327
0	8116	327

Stop Event

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

Calls

Call 1

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

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

localize216.0ms (1.9%)

Memory

6.6MiB live, 384.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 re)
accuracy	0.09765625	(.f64 (neg.f64 (.f64 im im)) (cos.f64 re))
accuracy	27.345491226877982	(/.f64 (.f64 (neg.f64 (.f64 im im)) (cos.f64 re)) im)
accuracy	30.726175076639866	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (.f64 (neg.f64 (.f64 im im)) (cos.f64 re)) im))
accuracy	0.1484375	(.f64 #s(literal -1/60 binary64) (.f64 im im))
accuracy	0.28515625	(.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
accuracy	6.82955668805133	#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	28.515507934933357	#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
accuracy	0.0859375	(.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im)
accuracy	0.18359375	(.f64 #s(literal 1/24 binary64) (.f64 re re))
accuracy	28.53887607869165	#s(approx (cos re) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
accuracy	30.726175076639866	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im))
accuracy	0.0	(neg.f64 im)
accuracy	25.814558875971247	#s(approx (* (neg (cos re)) im) (neg.f64 im))
accuracy	30.726175076639866	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
accuracy	0.0	(neg.f64 im)
accuracy	0.00390625	(sinh.f64 (neg.f64 im))
accuracy	19.9778848850322	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))

Samples

92.0ms	134×	0	valid
58.0ms	84×	1	valid
36.0ms	38×	2	valid

Compiler

Compiled 237 to 40 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 137.0ms

ival-div: 43.0ms (31.3% of total)

ival-mult: 26.0ms (18.9% of total)

ival-exp: 20.0ms (14.6% of total)

const: 12.0ms (8.7% of total)

ival-cos: 11.0ms (8% of total)

adjust: 10.0ms (7.3% of total)

ival-sub: 8.0ms (5.8% of total)

ival-add: 3.0ms (2.2% of total)

ival-neg: 3.0ms (2.2% 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)

series44.0ms (0.4%)

Memory

-28.9MiB live, 31.5MiB allocated

Counts

22 → 54

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (neg (cos re)) im) (neg.f64 im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im))
(.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im)
(neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(.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 (neg.f64 (.f64 im im)) (cos.f64 re)) im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (.f64 (neg.f64 (.f64 im im)) (cos.f64 re)) im))
(.f64 (neg.f64 (.f64 im im)) (cos.f64 re))
(neg.f64 (*.f64 im im))
(.f64 #s(literal 1/24 binary64) (.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 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
(.f64 #s(literal -1/60 binary64) (.f64 im im))
(cos.f64 re)

Outputs
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
(* -1 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
(+ 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
(+ 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)
(* -1 (pow im 2))
(+ (* -1 (pow im 2)) (* 1/2 (* (pow im 2) (pow re 2))))
(+ (* -1 (pow im 2)) (* (pow re 2) (+ (* -1/24 (* (pow im 2) (pow re 2))) (* 1/2 (pow im 2)))))
(+ (* -1 (pow im 2)) (* (pow re 2) (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/24 (pow im 2)) (* 1/720 (* (pow im 2) (pow re 2))))))))
(* 1/24 (pow re 2))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* -1 (* im (cos re)))
(* -1 (cos re))
(cos re)
(* 1/2 (cos re))
(* -1/4 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))
(* -1 (* (pow im 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)))))))))
(* 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))
(* -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))
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))
(- (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)) (exp im))))
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(- (exp (* -1 im)) (exp im))

Calls

6 calls:

Time	Variable		Point	Expression
32.0ms	re	@	inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh (neg im)) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (/ (* (neg (* im im)) (cos re)) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (* im im)) (cos re)) (neg (* im im)) (* 1/24 (* re re)) (- (exp (- 0 im)) (exp im)) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/60 (* im im)) (cos re))
3.0ms	im	@	inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh (neg im)) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (/ (* (neg (* im im)) (cos re)) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (* im im)) (cos re)) (neg (* im im)) (* 1/24 (* re re)) (- (exp (- 0 im)) (exp im)) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/60 (* im im)) (cos re))
2.0ms	im	@	-inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh (neg im)) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (/ (* (neg (* im im)) (cos re)) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (* im im)) (cos re)) (neg (* im im)) (* 1/24 (* re re)) (- (exp (- 0 im)) (exp im)) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/60 (* im im)) (cos re))
2.0ms	re	@	-inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh (neg im)) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (/ (* (neg (* im im)) (cos re)) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (* im im)) (cos re)) (neg (* im im)) (* 1/24 (* re re)) (- (exp (- 0 im)) (exp im)) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/60 (* im im)) (cos re))
2.0ms	im	@	0	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh (neg im)) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (/ (* (neg (* im im)) (cos re)) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (* im im)) (cos re)) (neg (* im im)) (* 1/24 (* re re)) (- (exp (- 0 im)) (exp im)) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/60 (* im im)) (cos re))

simplify166.0ms (1.5%)

Memory

17.4MiB live, 276.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	197	653
1	581	618
2	1997	591
3	5468	581
0	8062	550

Stop Event

1×	iter limit
1×	node limit

Counts

54 → 54

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 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
(+ 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
(+ 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)
(* -1 (pow im 2))
(+ (* -1 (pow im 2)) (* 1/2 (* (pow im 2) (pow re 2))))
(+ (* -1 (pow im 2)) (* (pow re 2) (+ (* -1/24 (* (pow im 2) (pow re 2))) (* 1/2 (pow im 2)))))
(+ (* -1 (pow im 2)) (* (pow re 2) (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/24 (pow im 2)) (* 1/720 (* (pow im 2) (pow re 2))))))))
(* 1/24 (pow re 2))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* -1 (* im (cos re)))
(* -1 (cos re))
(cos re)
(* 1/2 (cos re))
(* -1/4 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))
(* -1 (* (pow im 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)))))))))
(* 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))
(* -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))
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))
(- (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)) (exp im))))
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(- (exp (* -1 im)) (exp im))

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

rewrite182.0ms (1.6%)

Memory

-22.9MiB live, 367.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	271
0	72	265
1	235	251
2	1436	251
0	8274	251

Stop Event

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

Counts

22 → 209

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (neg (cos re)) im) (neg.f64 im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im))
(.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im)
(neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(.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 (neg.f64 (.f64 im im)) (cos.f64 re)) im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (.f64 (neg.f64 (.f64 im im)) (cos.f64 re)) im))
(.f64 (neg.f64 (.f64 im im)) (cos.f64 re))
(neg.f64 (*.f64 im im))
(.f64 #s(literal 1/24 binary64) (.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 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
(.f64 #s(literal -1/60 binary64) (.f64 im im))
(cos.f64 re)

Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64))) (.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64)))) (cosh.f64 im))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 0 binary64) (cosh.f64 im)) (.f64 #s(literal 0 binary64) (cosh.f64 im))) (.f64 (.f64 #s(literal 1 binary64) (sinh.f64 im)) (.f64 #s(literal 1 binary64) (sinh.f64 im)))) (sinh.f64 im))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (fma.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (cosh.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (sinh.f64 im)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 0 binary64) (cosh.f64 im)) (.f64 #s(literal 0 binary64) (cosh.f64 im)) (fma.f64 (.f64 #s(literal 1 binary64) (sinh.f64 im)) (.f64 #s(literal 1 binary64) (sinh.f64 im)) (.f64 (.f64 #s(literal 0 binary64) (cosh.f64 im)) (*.f64 #s(literal 1 binary64) (sinh.f64 im))))))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 im))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (neg.f64 im))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) #s(literal 2 binary64))
(sinh.f64 (neg.f64 im))
(neg.f64 (sinh.f64 im))
(fma.f64 #s(literal 0 binary64) (cosh.f64 im) (*.f64 #s(literal -1 binary64) (sinh.f64 im)))
(-.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) #s(literal 2 binary64)) (/.f64 (sinh.f64 im) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (fma.f64 (exp.f64 im) (.f64 #s(literal 2 binary64) (cosh.f64 im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 (exp.f64 im) (.f64 #s(literal 2 binary64) (cosh.f64 im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) #s(literal 2 binary64)))
(-.f64 (.f64 (sinh.f64 (/.f64 #s(literal 0 binary64) im)) (cosh.f64 im)) (.f64 (cosh.f64 (/.f64 #s(literal 0 binary64) im)) (sinh.f64 im)))
(-.f64 (.f64 (sinh.f64 (/.f64 #s(literal 0 binary64) (.f64 im im))) (cosh.f64 im)) (.f64 (cosh.f64 (/.f64 #s(literal 0 binary64) (.f64 im im))) (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 (cosh.f64 im) #s(literal 2 binary64)) (/.f64 (-.f64 (sinh.f64 (neg.f64 im)) (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 #s(literal -1 binary64) im)
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 0 binary64) im) (/.f64 #s(literal 0 binary64) im)) (.f64 im im)) im)
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 0 binary64) (.f64 im im)) (/.f64 #s(literal 0 binary64) (.f64 im im))) (.f64 im im)) im)
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) im) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) im) (/.f64 #s(literal 0 binary64) im) (fma.f64 im im (*.f64 (/.f64 #s(literal 0 binary64) im) im))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (.f64 im im)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (.f64 im im)) (/.f64 #s(literal 0 binary64) (.f64 im im)) (fma.f64 im im (.f64 (/.f64 #s(literal 0 binary64) (*.f64 im im)) im))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 im im)) (*.f64 im (pow.f64 im #s(literal 3 binary64)))) (pow.f64 im #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (neg.f64 im) im)) (.f64 im (pow.f64 (neg.f64 im) #s(literal 3 binary64)))) (.f64 im (*.f64 (neg.f64 im) im)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 im)) (.f64 im (.f64 (neg.f64 im) im))) (.f64 (neg.f64 im) im))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 im im)) (.f64 (.f64 im im) (pow.f64 im #s(literal 3 binary64)))) (pow.f64 im #s(literal 4 binary64)))
(/.f64 (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 im)
(fma.f64 #s(literal -1 binary64) im (/.f64 #s(literal 0 binary64) im))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64))))) (log.f64 (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (*.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im)))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 im))))
(-.f64 (/.f64 #s(literal 0 binary64) im) im)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 im im)) im)
(-.f64 (neg.f64 im) (/.f64 #s(literal 0 binary64) im))
(-.f64 #s(literal 0 binary64) im)
(+.f64 (/.f64 #s(literal 0 binary64) im) (neg.f64 im))
(+.f64 (neg.f64 im) (/.f64 #s(literal 0 binary64) im))
(log.f64 (exp.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (neg (cos re)) im) (neg.f64 im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64))) (neg.f64 im)))
(.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im)
(.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64))) (neg.f64 im))
(.f64 (neg.f64 im) #s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64))))
(.f64 im (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))))
(neg.f64 (.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64))) im))
(neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(.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)) #s(approx (* 1/2 (cos re)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 #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 (.f64 im im) #s(literal -1/60 binary64)) #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)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 1/2 binary64)))) (.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal -1/4 binary64) (*.f64 re re)) #s(literal 1/2 binary64)))))
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(.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 1/3 binary64)) im)
(.f64 im (-.f64 (.f64 (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/3600 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/9 binary64)) im)) (neg.f64 (fma.f64 (*.f64 im im) #s(literal -1/60 binary64) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64)) #s(literal 1/27 binary64)) im)) (neg.f64 (fma.f64 #s(literal 1/3600 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/180 binary64) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (.f64 im (-.f64 (.f64 #s(literal 1/3600 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/9 binary64)))) (neg.f64 (fma.f64 (*.f64 im im) #s(literal -1/60 binary64) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 #s(literal 1/3600 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/180 binary64) #s(literal 1/9 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/3600 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/9 binary64)) im) (fma.f64 (*.f64 im im) #s(literal -1/60 binary64) #s(literal 1/3 binary64)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64)) #s(literal 1/27 binary64)) im) (fma.f64 #s(literal 1/3600 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/180 binary64) #s(literal 1/9 binary64))))
(/.f64 (.f64 im (-.f64 (.f64 #s(literal 1/3600 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/9 binary64))) (fma.f64 (*.f64 im im) #s(literal -1/60 binary64) #s(literal 1/3 binary64)))
(/.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64)) #s(literal 1/27 binary64))) (fma.f64 #s(literal 1/3600 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/180 binary64) #s(literal 1/9 binary64))))
(.f64 (.f64 #s(literal -1/60 binary64) (neg.f64 im)) (neg.f64 im))
(.f64 (.f64 #s(literal -1/60 binary64) im) im)
(.f64 (.f64 im 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 im (.f64 #s(literal -1/60 binary64) im))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 re) #s(literal 0 binary64)) (.f64 (sin.f64 re) #s(literal 0 binary64))) (.f64 (.f64 (cos.f64 re) #s(literal 1 binary64)) (.f64 (cos.f64 re) #s(literal 1 binary64)))) (-.f64 (.f64 (sin.f64 re) #s(literal 0 binary64)) (.f64 (cos.f64 re) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 re) #s(literal 1 binary64)) #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 (cos.f64 re) #s(literal 1 binary64)) (.f64 (cos.f64 re) #s(literal 1 binary64))) (.f64 (.f64 (sin.f64 re) #s(literal 0 binary64)) (.f64 (cos.f64 re) #s(literal 1 binary64))))))
(fma.f64 (sin.f64 (neg.f64 re)) #s(literal 0 binary64) (*.f64 (cos.f64 re) #s(literal 1 binary64)))
(fma.f64 (sin.f64 re) #s(literal 0 binary64) (*.f64 (cos.f64 re) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (*.f64 #s(literal 0 binary64) (sin.f64 re)))
(sin.f64 (+.f64 (neg.f64 (neg.f64 re)) (/.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))
(-.f64 (.f64 (sin.f64 re) #s(literal 0 binary64)) (.f64 (neg.f64 (cos.f64 re)) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 re))))
(cos.f64 (neg.f64 (neg.f64 re)))
(cos.f64 (neg.f64 re))
(cos.f64 re)
(+.f64 (.f64 (sin.f64 (neg.f64 re)) #s(literal 0 binary64)) (.f64 (cos.f64 re) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 re)) (.f64 #s(literal 0 binary64) (sin.f64 re)))
(+.f64 (.f64 (sin.f64 re) #s(literal 0 binary64)) (.f64 (cos.f64 re) #s(literal 1 binary64)))

eval73.0ms (0.7%)

Memory: -18.1MiB live, 103.1MiB allocated
Compiler: Compiled 10 951 to 1 565 computations (85.7% saved)

prune30.0ms (0.3%)

Memory

26.5MiB live, 86.7MiB allocated

Pruning

26 alts after pruning (22 fresh and 4 done)

	Pruned	Kept	Total
New	315	10	325
Fresh	1	12	13
Picked	2	3	5
Done	0	1	1
Total	318	26	344

Accuracy

100.0%

Counts

344 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.9%	(.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))
	50.2%	(.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))))))
▶	60.4%	(.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)))
	60.7%	(.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)))
	62.5%	(.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 (.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)))
	54.7%	(.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(literal -1/3 binary64) (.f64 im im)) #s(literal 2 binary64)) im)))
	46.0%	(.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)))
	12.9%	(.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)))
	24.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (.f64 (/.f64 (.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) im) (*.f64 im im)) (cos.f64 re)) im))
✓	53.1%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (.f64 (neg.f64 (.f64 im im)) (cos.f64 re)) im))
	36.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(approx (* (neg (* im im)) (cos re)) (.f64 (.f64 im im) (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))) im))
	35.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(approx (* (neg (* im im)) (cos re)) (*.f64 (neg.f64 im) im)) im))
	51.6%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (-.f64 (.f64 (cos.f64 re) (cos.f64 (PI.f64))) (*.f64 (sin.f64 re) (sin.f64 (PI.f64)))) im))
	51.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (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)))))) im))
✓	51.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
	38.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (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)))) im))
▶	40.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im))
	40.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) re) re) #s(literal 1 binary64))) im))
✓	68.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
	60.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)) (neg.f64 im))))
▶	64.0%	#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 (-.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)))
	54.1%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(literal 1 binary64)) im)))
	14.1%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 im)) (.f64 im (.f64 (neg.f64 im) im))) (.f64 (neg.f64 im) im))))
▶	36.8%	#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)))))
✓	32.3%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
	60.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (sinh (neg 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)))

Compiler

Compiled 1 561 to 1 138 computations (27.1% saved)

simplify161.0ms (1.4%)

Memory

38.2MiB live, 290.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	645
0	118	640
1	222	638
2	512	636
3	1511	609
4	4759	609
0	8052	609

Stop Event

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

Calls

Call 1

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

Outputs
(.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 (.f64 re re) #s(literal -1/2 binary64) #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 #s(literal 2 binary64) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (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 (*.f64 re re) #s(literal -1/2 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))
#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)
#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))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64))) (neg.f64 im)))
(.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im)
(.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64))) (neg.f64 im))
(neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/24 binary64) re) re)
(*.f64 #s(literal 1/24 binary64) re)
#s(literal 1/24 binary64)
re
#s(literal 1/2 binary64)
(*.f64 re re)
#s(literal 1 binary64)
im
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) 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 (.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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))
(.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 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)
(-.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))
(-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64))
(.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))
(.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im) im)
(-.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 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64))
(.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal 1/120 binary64)) im) im)
(.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im)
(.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im)
(.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im)
(-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal 1/120 binary64))
(-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(.f64 #s(literal -1/5040 binary64) (.f64 im im))
(.f64 (.f64 im im) #s(literal -1/5040 binary64))
#s(literal -1/5040 binary64)
(*.f64 im im)
im
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(.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)))
(.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 (-.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 (* 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)))
(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))
(-.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 (.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re)
(.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re)
(fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))
#s(literal -1/1440 binary64)
(*.f64 re re)
re
#s(literal 1/48 binary64)
#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)

localize527.0ms (4.7%)

Memory

-33.4MiB live, 616.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.24609375	(.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re)
accuracy	0.28515625	(.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
accuracy	6.82955668805133	#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	28.48423136038038	#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)))
accuracy	0.125	(.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal 1/120 binary64)) im) im)
accuracy	0.13671875	(.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))
accuracy	4.263326065136414	#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))
accuracy	19.9778848850322	#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)))
accuracy	0.09375	(.f64 (.f64 #s(literal 1/24 binary64) re) re)
accuracy	0.33984375	(*.f64 #s(literal 1/24 binary64) re)
accuracy	28.53887607869165	#s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
accuracy	30.726175076639866	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) re)
accuracy	3.2591890148216898	(.f64 im (fma.f64 (.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))
accuracy	28.394145806809675	#s(approx (* (neg (cos re)) im) (.f64 im (fma.f64 (.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))
accuracy	30.726175076639866	#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	0.0	(neg.f64 im)
accuracy	0.00390625	(sinh.f64 (neg.f64 im))
accuracy	0.046875	(.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	28.515552845830804	#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))

Samples

199.0ms	84×	1	valid
148.0ms	134×	0	valid
62.0ms	38×	2	valid

Compiler

Compiled 433 to 70 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 335.0ms

ival-add: 117.0ms (35% of total)

ival-mult: 57.0ms (17% of total)

ival-sub: 55.0ms (16.4% of total)

const: 39.0ms (11.7% of total)

ival-exp: 34.0ms (10.2% of total)

adjust: 18.0ms (5.4% of total)

ival-cos: 9.0ms (2.7% of total)

ival-neg: 2.0ms (0.6% of total)

exact: 1.0ms (0.3% of total)

ival-sinh: 1.0ms (0.3% of total)

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

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

series70.0ms (0.6%)

Memory

-15.4MiB live, 44.6MiB allocated

Counts

30 → 105

Calls

Call 1

Inputs
(.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 (* (* 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))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im))
(.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im)
(neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 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 (* (- (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 (-.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 (.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))
(.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)) (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)))
(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))
(-.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))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 #s(literal 1/24 binary64) re)
(.f64 (.f64 #s(literal 1/24 binary64) re) re)
(.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))
(.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal 1/120 binary64)) im) im)
#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 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re)

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)))
-1/4
(- (* 1/48 (pow re 2)) 1/4)
(- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)
(* 1/2 re)
(* 1/24 re)
(* 1/24 (pow re 2))
(* 1/48 re)
(* re (+ 1/48 (* -1/1440 (pow re 2))))
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(* (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))
(* 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 (cos re))
(* 1/2 (cos re))
(* -1/1440 (pow re 6))
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) 1/1440))
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4)))))
(* (pow re 6) (- (+ (* 1/48 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/1440 (/ 1/4 (pow re 4)))))
(* -1/1440 (pow re 4))
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) 1/1440))
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4)))))
(* -1/1440 (pow re 3))
(* (pow re 3) (- (* 1/48 (/ 1 (pow re 2))) 1/1440))
(* -1 (* (pow re 3) (- 1/1440 (* 1/48 (/ 1 (pow re 2))))))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(* -2 (* im (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)))))))))
(* im (- (* 1/2 (pow re 2)) 1))
(* 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))
(- (* -1/6 (pow im 2)) 1)
(- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)
(- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1)
(* -1/6 (pow im 2))
(* (pow im 2) (- (* -1/120 (pow im 2)) 1/6))
(* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6))
(* -1/120 (pow im 2))
(* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120))
(* -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))
(* -1/5040 (pow im 7))
(* -1 (* (pow im 7) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(* (pow im 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow im 2)))) (pow im 2))) 1/5040))
(* (pow im 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 4))) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(* -1/5040 (pow im 6))
(* -1 (* (pow im 6) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(* (pow im 6) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow im 2)))) (pow im 2))) 1/5040))
(* (pow im 6) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 4))) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(* -1/5040 (pow im 4))
(* -1 (* (pow im 4) (+ 1/5040 (* 1/120 (/ 1 (pow 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))))))
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(* -1 (* (pow im 7) (+ 1/5040 (+ (/ 1/6 (pow im 4)) (* 1/120 (/ 1 (pow im 2)))))))
(* -1 (* (pow im 7) (+ 1/5040 (+ (/ 1/6 (pow im 4)) (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6)))))))
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(- (exp (* -1 im)) (exp im))

Calls

6 calls:

Time	Variable		Point	Expression
50.0ms	im	@	inf	((* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (+ (* -1/2 (* re re)) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* im (+ (* (* 1/2 re) re) -1)) (+ (* (* 1/2 re) re) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (* (- (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) 1) im) (- (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* (* (+ (* -1/1440 (* re re)) 1/48) re) re) 1/4) (* re re)) 1/2) (- (* (* (+ (* -1/1440 (* re re)) 1/48) re) re) 1/4) (sinh (neg im)) (neg im) (* 1/2 re) (* 1/24 re) (* (* 1/24 re) re) (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) (* (* (- (* -1/5040 (* im im)) 1/120) im) im) (- (exp (- 0 im)) (exp im)) (* (- (* -1/60 (* im im)) 1/3) im) (* (+ (* -1/1440 (* re re)) 1/48) re))
4.0ms	re	@	inf	((* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (+ (* -1/2 (* re re)) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* im (+ (* (* 1/2 re) re) -1)) (+ (* (* 1/2 re) re) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (* (- (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) 1) im) (- (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* (* (+ (* -1/1440 (* re re)) 1/48) re) re) 1/4) (* re re)) 1/2) (- (* (* (+ (* -1/1440 (* re re)) 1/48) re) re) 1/4) (sinh (neg im)) (neg im) (* 1/2 re) (* 1/24 re) (* (* 1/24 re) re) (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) (* (* (- (* -1/5040 (* im im)) 1/120) im) im) (- (exp (- 0 im)) (exp im)) (* (- (* -1/60 (* im im)) 1/3) im) (* (+ (* -1/1440 (* re re)) 1/48) re))
4.0ms	im	@	-inf	((* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (+ (* -1/2 (* re re)) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* im (+ (* (* 1/2 re) re) -1)) (+ (* (* 1/2 re) re) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (* (- (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) 1) im) (- (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* (* (+ (* -1/1440 (* re re)) 1/48) re) re) 1/4) (* re re)) 1/2) (- (* (* (+ (* -1/1440 (* re re)) 1/48) re) re) 1/4) (sinh (neg im)) (neg im) (* 1/2 re) (* 1/24 re) (* (* 1/24 re) re) (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) (* (* (- (* -1/5040 (* im im)) 1/120) im) im) (- (exp (- 0 im)) (exp im)) (* (- (* -1/60 (* im im)) 1/3) im) (* (+ (* -1/1440 (* re re)) 1/48) re))
4.0ms	re	@	-inf	((* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (+ (* -1/2 (* re re)) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* im (+ (* (* 1/2 re) re) -1)) (+ (* (* 1/2 re) re) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (* (- (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) 1) im) (- (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* (* (+ (* -1/1440 (* re re)) 1/48) re) re) 1/4) (* re re)) 1/2) (- (* (* (+ (* -1/1440 (* re re)) 1/48) re) re) 1/4) (sinh (neg im)) (neg im) (* 1/2 re) (* 1/24 re) (* (* 1/24 re) re) (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) (* (* (- (* -1/5040 (* im im)) 1/120) im) im) (- (exp (- 0 im)) (exp im)) (* (- (* -1/60 (* im im)) 1/3) im) (* (+ (* -1/1440 (* re re)) 1/48) re))
3.0ms	im	@	0	((* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (+ (* -1/2 (* re re)) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* im (+ (* (* 1/2 re) re) -1)) (+ (* (* 1/2 re) re) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (* (- (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) 1) im) (- (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* (* (+ (* -1/1440 (* re re)) 1/48) re) re) 1/4) (* re re)) 1/2) (- (* (* (+ (* -1/1440 (* re re)) 1/48) re) re) 1/4) (sinh (neg im)) (neg im) (* 1/2 re) (* 1/24 re) (* (* 1/24 re) re) (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) (* (* (- (* -1/5040 (* im im)) 1/120) im) im) (- (exp (- 0 im)) (exp im)) (* (- (* -1/60 (* im im)) 1/3) im) (* (+ (* -1/1440 (* re re)) 1/48) re))

simplify216.0ms (1.9%)

Memory

48.9MiB live, 175.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	313	1434
1	961	1277
2	3568	1239
0	8249	1192

Stop Event

1×	iter limit
1×	node limit

Counts

105 → 105

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)))
-1/4
(- (* 1/48 (pow re 2)) 1/4)
(- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)
(* 1/2 re)
(* 1/24 re)
(* 1/24 (pow re 2))
(* 1/48 re)
(* re (+ 1/48 (* -1/1440 (pow re 2))))
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(* (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))
(* 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 (cos re))
(* 1/2 (cos re))
(* -1/1440 (pow re 6))
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) 1/1440))
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4)))))
(* (pow re 6) (- (+ (* 1/48 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/1440 (/ 1/4 (pow re 4)))))
(* -1/1440 (pow re 4))
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) 1/1440))
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4)))))
(* -1/1440 (pow re 3))
(* (pow re 3) (- (* 1/48 (/ 1 (pow re 2))) 1/1440))
(* -1 (* (pow re 3) (- 1/1440 (* 1/48 (/ 1 (pow re 2))))))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(* -2 (* im (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)))))))))
(* im (- (* 1/2 (pow re 2)) 1))
(* 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))
(- (* -1/6 (pow im 2)) 1)
(- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)
(- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1)
(* -1/6 (pow im 2))
(* (pow im 2) (- (* -1/120 (pow im 2)) 1/6))
(* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6))
(* -1/120 (pow im 2))
(* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120))
(* -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))
(* -1/5040 (pow im 7))
(* -1 (* (pow im 7) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(* (pow im 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow im 2)))) (pow im 2))) 1/5040))
(* (pow im 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 4))) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(* -1/5040 (pow im 6))
(* -1 (* (pow im 6) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(* (pow im 6) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow im 2)))) (pow im 2))) 1/5040))
(* (pow im 6) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 4))) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(* -1/5040 (pow im 4))
(* -1 (* (pow im 4) (+ 1/5040 (* 1/120 (/ 1 (pow 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))))))
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(* -1 (* (pow im 7) (+ 1/5040 (+ (/ 1/6 (pow im 4)) (* 1/120 (/ 1 (pow im 2)))))))
(* -1 (* (pow im 7) (+ 1/5040 (+ (/ 1/6 (pow im 4)) (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6)))))))
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(- (exp (* -1 im)) (exp 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 (.f64 #s(literal 1/48 binary64) 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 (.f64 #s(literal 1/24 binary64) 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 (.f64 #s(literal 1/48 binary64) 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))
-1/4
#s(literal -1/4 binary64)
(- (* 1/48 (pow re 2)) 1/4)
(-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64))
(- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)
(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)))
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(* 1/24 re)
(*.f64 #s(literal 1/24 binary64) re)
(* 1/24 (pow re 2))
(.f64 #s(literal 1/24 binary64) (.f64 re re))
(* 1/48 re)
(*.f64 #s(literal 1/48 binary64) re)
(* re (+ 1/48 (* -1/1440 (pow re 2))))
(.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re)
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 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)
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(* -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 (.f64 (*.f64 im (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) re) re) #s(literal -1/2 binary64))) 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 (cos re))
(neg.f64 (cos.f64 re))
(* 1/2 (cos re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(* -1/1440 (pow re 6))
(*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/1440 binary64))
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) 1/1440))
(.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/1440 binary64)) (pow.f64 re #s(literal 6 binary64)))
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/1440 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 4 binary64)))) (pow.f64 re #s(literal 6 binary64)))
(* (pow re 6) (- (+ (* 1/48 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/1440 (/ 1/4 (pow re 4)))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/1440 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 4 binary64))))) (pow.f64 re #s(literal 6 binary64)))
(* -1/1440 (pow re 4))
(*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/1440 binary64))
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) 1/1440))
(.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/1440 binary64)))
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4)))))
(.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/1440 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 4 binary64)))))
(* -1/1440 (pow re 3))
(*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/1440 binary64))
(* (pow re 3) (- (* 1/48 (/ 1 (pow re 2))) 1/1440))
(.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/1440 binary64)))
(* -1 (* (pow re 3) (- 1/1440 (* 1/48 (/ 1 (pow re 2))))))
(.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) (.f64 re re)) #s(literal -1 binary64) #s(literal -1/1440 binary64)) (pow.f64 re #s(literal 3 binary64)))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(.f64 (.f64 im (cos.f64 re)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #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 im im) #s(literal -1/6 binary64) #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)
(* im (- (* 1/2 (pow re 2)) 1))
(.f64 im (fma.f64 (.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))
(* 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)
(- (* -1/6 (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))
(- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1)
(-.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))
(* -1/6 (pow im 2))
(.f64 (.f64 im im) #s(literal -1/6 binary64))
(* (pow im 2) (- (* -1/120 (pow im 2)) 1/6))
(.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) #s(literal 1/6 binary64)) im) im)
(* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6))
(.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))
(* -1/120 (pow im 2))
(.f64 #s(literal -1/120 binary64) (.f64 im im))
(* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120))
(.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal 1/120 binary64)) im) 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)
(* -1/5040 (pow im 7))
(*.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/5040 binary64))
(* -1 (* (pow im 7) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(.f64 (+.f64 (/.f64 #s(literal -1/120 binary64) (.f64 im im)) #s(literal -1/5040 binary64)) (pow.f64 im #s(literal 7 binary64)))
(* (pow im 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow im 2)))) (pow im 2))) 1/5040))
(.f64 (+.f64 (/.f64 #s(literal -1/120 binary64) (.f64 im im)) (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/5040 binary64))) (pow.f64 im #s(literal 7 binary64)))
(* (pow im 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 4))) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) im) im) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 im im)) #s(literal 1/5040 binary64))) (pow.f64 im #s(literal 7 binary64)))
(* -1/5040 (pow im 6))
(*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/5040 binary64))
(* -1 (* (pow im 6) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(.f64 (+.f64 (/.f64 #s(literal -1/120 binary64) (.f64 im im)) #s(literal -1/5040 binary64)) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow im 2)))) (pow im 2))) 1/5040))
(.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal -1/120 binary64) (.f64 im im)) (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/5040 binary64))))
(* (pow im 6) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 4))) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) im) im) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 im im)) #s(literal 1/5040 binary64))))
(* -1/5040 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/5040 binary64))
(* -1 (* (pow im 4) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(.f64 (+.f64 (/.f64 #s(literal -1/120 binary64) (.f64 im im)) #s(literal -1/5040 binary64)) (pow.f64 im #s(literal 4 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 #s(literal 1/2 binary64) (cos.f64 re)))
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(* 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 7) (+ 1/5040 (+ (/ 1/6 (pow im 4)) (* 1/120 (/ 1 (pow im 2)))))))
(.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal -1/120 binary64) (.f64 im im)) #s(literal -1/5040 binary64))) (pow.f64 im #s(literal 7 binary64)))
(* -1 (* (pow im 7) (+ 1/5040 (+ (/ 1/6 (pow im 4)) (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6)))))))
(.f64 (neg.f64 (pow.f64 im #s(literal 7 binary64))) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 6 binary64)))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 im im)) #s(literal 1/120 binary64)) im) 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)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite271.0ms (2.4%)

Memory

-57.2MiB live, 267.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	76	476
0	118	471
1	415	440
2	2640	440
0	8503	440

Stop Event

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

Counts

30 → 305

Calls

Call 1

Inputs
(.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 (* (* 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))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im))
(.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im)
(neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 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 (* (- (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 (-.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 (.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))
(.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)) (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)))
(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))
(-.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))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 #s(literal 1/24 binary64) re)
(.f64 (.f64 #s(literal 1/24 binary64) re) re)
(.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))
(.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal 1/120 binary64)) im) im)
#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 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re)

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sinh.f64 (neg.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))))
(.f64 (.f64 #s(literal 2 binary64) #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 (sinh.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) (.f64 #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sinh.f64 (neg.f64 im)))
(.f64 (.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sinh.f64 (neg.f64 im)))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (sinh.f64 (neg.f64 im)) (.f64 #s(literal 2 binary64) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))))) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
(neg.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sinh.f64 im)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sinh.f64 (neg.f64 im)) (.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #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 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(fma.f64 (.f64 #s(literal 2 binary64) #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 (sinh.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #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 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(fma.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64) (.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(fma.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) (.f64 #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(fma.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(fma.f64 #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sinh.f64 (neg.f64 im)) (.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(+.f64 (.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (*.f64 re re) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 (.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 (.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 6 binary64))) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))) (.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 re re) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 re re) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (*.f64 re re) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (*.f64 re re) #s(literal -1/2 binary64)))))
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(.f64 (fabs.f64 (.f64 #s(literal 1/24 binary64) (neg.f64 re))) re)
(.f64 (fabs.f64 (.f64 #s(literal 1/24 binary64) re)) re)
(.f64 (.f64 #s(literal 1/24 binary64) (neg.f64 re)) (neg.f64 re))
(.f64 (.f64 #s(literal 1/24 binary64) re) re)
(.f64 #s(literal 1/24 binary64) (.f64 re re))
(.f64 (.f64 re re) #s(literal 1/24 binary64))
(.f64 re (fabs.f64 (.f64 #s(literal 1/24 binary64) re)))
(.f64 re (.f64 #s(literal 1/24 binary64) re))
(sqrt.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/576 binary64)))
(fabs.f64 (neg.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re)))
(fabs.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re))
(.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (neg.f64 im)) (neg.f64 im))
(.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im) im)
(.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (.f64 im im))
(.f64 (.f64 im im) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 im im) (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)))
(.f64 (neg.f64 im) (.f64 (neg.f64 im) (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64))))
(.f64 im (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im))
(.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im) im))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 im im))) (neg.f64 (fma.f64 (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/216 binary64)) (.f64 im im))) (neg.f64 (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/36 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 im im) (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1/36 binary64)))) (neg.f64 (fma.f64 (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 im im) (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/216 binary64)))) (neg.f64 (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/36 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 im im)) (fma.f64 (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im #s(literal 1/6 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/216 binary64)) (.f64 im im)) (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/36 binary64))))
(/.f64 (.f64 (.f64 im im) (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (fma.f64 (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im #s(literal 1/6 binary64)))
(/.f64 (.f64 (.f64 im im) (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/216 binary64))) (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/36 binary64))))
(.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (neg.f64 im)) (neg.f64 im))
(.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im)
(.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 im im))
(.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(.f64 im (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/14400 binary64)) (.f64 im im))) (neg.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal -1/128024064000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/1728000 binary64)) (.f64 im im))) (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (.f64 im im) #s(literal -1/604800 binary64) #s(literal 1/14400 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/14400 binary64)) (.f64 im im)) (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal -1/128024064000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/1728000 binary64)) (.f64 im im)) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (.f64 im im) #s(literal -1/604800 binary64) #s(literal 1/14400 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 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/3600 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/9 binary64)) im)) (neg.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal -1/216000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/27 binary64)) im)) (neg.f64 (fma.f64 #s(literal 1/3600 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/180 binary64) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (.f64 im (-.f64 (.f64 #s(literal 1/3600 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/9 binary64)))) (neg.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (.f64 im (-.f64 (.f64 #s(literal -1/216000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 #s(literal 1/3600 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/180 binary64) #s(literal 1/9 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/3600 binary64) (pow.f64 im #s(literal 4 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 (.f64 #s(literal -1/216000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/27 binary64)) im) (fma.f64 #s(literal 1/3600 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/180 binary64) #s(literal 1/9 binary64))))
(/.f64 (.f64 im (-.f64 (.f64 #s(literal 1/3600 binary64) (pow.f64 im #s(literal 4 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 (.f64 #s(literal -1/216000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/27 binary64))) (fma.f64 #s(literal 1/3600 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/180 binary64) #s(literal 1/9 binary64))))
(.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re)
(.f64 re (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2073600 binary64)) #s(literal 1/2304 binary64)) re)) (neg.f64 (-.f64 (.f64 #s(literal -1/1440 binary64) (.f64 re re)) #s(literal 1/48 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/2985984000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/110592 binary64)) re)) (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2073600 binary64) (-.f64 #s(literal 1/2304 binary64) (.f64 (*.f64 re re) #s(literal -1/69120 binary64))))))
(/.f64 (neg.f64 (.f64 re (-.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2073600 binary64)) #s(literal 1/2304 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal -1/1440 binary64) (.f64 re re)) #s(literal 1/48 binary64))))
(/.f64 (neg.f64 (.f64 re (fma.f64 #s(literal -1/2985984000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/110592 binary64)))) (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2073600 binary64) (-.f64 #s(literal 1/2304 binary64) (.f64 (*.f64 re re) #s(literal -1/69120 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2073600 binary64)) #s(literal 1/2304 binary64)) re) (-.f64 (.f64 #s(literal -1/1440 binary64) (.f64 re re)) #s(literal 1/48 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1/2985984000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/110592 binary64)) re) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2073600 binary64) (-.f64 #s(literal 1/2304 binary64) (.f64 (*.f64 re re) #s(literal -1/69120 binary64)))))
(/.f64 (.f64 re (-.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2073600 binary64)) #s(literal 1/2304 binary64))) (-.f64 (.f64 #s(literal -1/1440 binary64) (.f64 re re)) #s(literal 1/48 binary64)))
(/.f64 (.f64 re (fma.f64 #s(literal -1/2985984000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/110592 binary64))) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2073600 binary64) (-.f64 #s(literal 1/2304 binary64) (.f64 (*.f64 re re) #s(literal -1/69120 binary64)))))
(fma.f64 (.f64 #s(literal -1/1440 binary64) (.f64 re re)) re (*.f64 #s(literal 1/48 binary64) re))
(fma.f64 #s(literal 1/48 binary64) re (.f64 (.f64 #s(literal -1/1440 binary64) (*.f64 re re)) re))
(fma.f64 re (.f64 #s(literal -1/1440 binary64) (.f64 re re)) (*.f64 re #s(literal 1/48 binary64)))
(fma.f64 re #s(literal 1/48 binary64) (.f64 re (.f64 #s(literal -1/1440 binary64) (*.f64 re re))))
(+.f64 (.f64 (.f64 #s(literal -1/1440 binary64) (.f64 re re)) re) (.f64 #s(literal 1/48 binary64) re))
(+.f64 (.f64 #s(literal 1/48 binary64) re) (.f64 (.f64 #s(literal -1/1440 binary64) (.f64 re re)) re))
(+.f64 (.f64 re (.f64 #s(literal -1/1440 binary64) (.f64 re re))) (.f64 re #s(literal 1/48 binary64)))
(+.f64 (.f64 re #s(literal 1/48 binary64)) (.f64 re (.f64 #s(literal -1/1440 binary64) (.f64 re re))))

eval81.0ms (0.7%)

Memory: 48.8MiB live, 160.6MiB allocated
Compiler: Compiled 17 093 to 2 162 computations (87.4% saved)

prune129.0ms (1.2%)

Memory

-4.7MiB live, 115.5MiB allocated

Pruning

33 alts after pruning (26 fresh and 7 done)

	Pruned	Kept	Total
New	392	13	405
Fresh	4	13	17
Picked	2	3	5
Done	0	4	4
Total	398	33	431

Accuracy

100.0%

Counts

431 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.2%	(.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))))))
	66.9%	(.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	63.3%	(.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 (-.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)))
✓	60.4%	(.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)))
	56.3%	(.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 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im)))
	60.7%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(approx ( (+ (* -1/1440 (* re re)) 1/48) re) (.f64 #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)))
	62.5%	(.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 (.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)))
	54.7%	(.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(literal -1/3 binary64) (.f64 im im)) #s(literal 2 binary64)) im)))
	12.9%	(.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)))
	24.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (.f64 (/.f64 (.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) im) (*.f64 im im)) (cos.f64 re)) im))
✓	53.1%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (.f64 (neg.f64 (.f64 im im)) (cos.f64 re)) im))
	36.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(approx (* (neg (* im im)) (cos re)) (.f64 (.f64 im im) (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))) im))
	35.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(approx (* (neg (* im im)) (cos re)) (*.f64 (neg.f64 im) im)) im))
	51.6%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (-.f64 (.f64 (cos.f64 re) (cos.f64 (PI.f64))) (*.f64 (sin.f64 re) (sin.f64 (PI.f64)))) im))
	51.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (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)))))) im))
✓	51.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
	38.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (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)))) im))
✓	40.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im))
	40.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) re) re) #s(literal 1 binary64))) im))
✓	68.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
	60.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)) (neg.f64 im))))
	64.0%	#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 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 im im)) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)))
	60.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (-.f64 #s(approx (* (* (- (* -1/5040 (* im im)) 1/120) im) im) (.f64 #s(literal -1/120 binary64) (.f64 im im))) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)))
	64.0%	#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 (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
	60.7%	#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)))
	54.1%	#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)))
	36.3%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) 1) im) (*.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/5040 binary64)))))
	36.8%	#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))))
	14.1%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 im)) (.f64 im (.f64 (neg.f64 im) im))) (.f64 (neg.f64 im) im))))
✓	36.8%	#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)))))
	33.0%	#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)))))
	9.8%	#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))))))
✓	32.3%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))

Compiler

Compiled 2 720 to 1 149 computations (57.8% saved)

regimes192.0ms (1.7%)

Memory

23.6MiB live, 195.0MiB allocated

Counts

50 → 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) (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(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 (* (- (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))) (/.f64 #s(approx (* (neg (* im im)) (cos re)) (*.f64 (neg.f64 im) im)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) re) re) #s(literal 1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (sinh (neg 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)))
#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 #s(approx (* (* (- (* -1/5040 (* im im)) 1/120) im) im) (.f64 #s(literal -1/120 binary64) (.f64 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))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(approx (* (neg (* im im)) (cos re)) (.f64 (.f64 im im) (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #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(literal -1/3 binary64) (.f64 im im)) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.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 #s(literal 0 binary64) (neg.f64 im)) (.f64 im (.f64 (neg.f64 im) im))) (.f64 (neg.f64 im) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (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)))) 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 (.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #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 (* (- (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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 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 (.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 #s(literal -1/3 binary64) (*.f64 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 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im)) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 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)) (fma.f64 (-.f64 (.f64 #s(approx ( (+ (* -1/1440 (* re re)) 1/48) re) (.f64 #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)))
(.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)))
(.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 (-.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))) (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 (* (- (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) 1) im) (*.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/5040 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 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (.f64 (neg.f64 (.f64 im im)) (cos.f64 re)) 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))) (*.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))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.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))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (.f64 (/.f64 (.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) im) (*.f64 im im)) (cos.f64 re)) im))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (-.f64 (.f64 (cos.f64 re) (cos.f64 (PI.f64))) (*.f64 (sin.f64 re) (sin.f64 (PI.f64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (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)))))) 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 #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))))))

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

Calls

6 calls:

65.0ms	(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
56.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
31.0ms	im
13.0ms	re
12.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))

Results

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

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes75.0ms (0.7%)

Memory

10.8MiB live, 195.2MiB allocated

Counts

43 → 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) (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(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 (* (- (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))) (/.f64 #s(approx (* (neg (* im im)) (cos re)) (*.f64 (neg.f64 im) im)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) re) re) #s(literal 1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (sinh (neg 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)))
#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 #s(approx (* (* (- (* -1/5040 (* im im)) 1/120) im) im) (.f64 #s(literal -1/120 binary64) (.f64 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))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(approx (* (neg (* im im)) (cos re)) (.f64 (.f64 im im) (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #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(literal -1/3 binary64) (.f64 im im)) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.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 #s(literal 0 binary64) (neg.f64 im)) (.f64 im (.f64 (neg.f64 im) im))) (.f64 (neg.f64 im) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (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)))) 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 (.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #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 (* (- (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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 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 (.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 #s(literal -1/3 binary64) (*.f64 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 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im)) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 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)) (fma.f64 (-.f64 (.f64 #s(approx ( (+ (* -1/1440 (* re re)) 1/48) re) (.f64 #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)))
(.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)))
(.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 (-.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))) (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 (* (- (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) 1) im) (*.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/5040 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 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (.f64 (neg.f64 (.f64 im im)) (cos.f64 re)) 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))) (*.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 (neg.f64 (cos.f64 re)) im))

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

Calls

6 calls:

17.0ms	im
14.0ms	(cos.f64 re)
11.0ms	re
11.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
10.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))

Results

Accuracy	Segments	Branch
93.3%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
96.2%	2	`(cos.f64 re)`
96.2%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
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)))`
96.2%	2	`re`
98.0%	3	`im`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes21.0ms (0.2%)

Memory

-46.8MiB live, 29.4MiB allocated

Counts

34 → 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) (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(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 (* (- (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))) (/.f64 #s(approx (* (neg (* im im)) (cos re)) (*.f64 (neg.f64 im) im)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) re) re) #s(literal 1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (sinh (neg 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)))
#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 #s(approx (* (* (- (* -1/5040 (* im im)) 1/120) im) im) (.f64 #s(literal -1/120 binary64) (.f64 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))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(approx (* (neg (* im im)) (cos re)) (.f64 (.f64 im im) (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #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(literal -1/3 binary64) (.f64 im im)) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.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 #s(literal 0 binary64) (neg.f64 im)) (.f64 im (.f64 (neg.f64 im) im))) (.f64 (neg.f64 im) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (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)))) 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 (.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #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 (* (- (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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 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 (.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 #s(literal -1/3 binary64) (*.f64 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 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im)) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 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)) (fma.f64 (-.f64 (.f64 #s(approx ( (+ (* -1/1440 (* re re)) 1/48) re) (.f64 #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)))
(.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)))
(.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 (-.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))) (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 (* (- (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) 1) im) (*.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/5040 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) 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 (-.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)))

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes69.0ms (0.6%)

Memory

52.9MiB live, 114.2MiB allocated

Counts

33 → 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) (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(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 (* (- (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))) (/.f64 #s(approx (* (neg (* im im)) (cos re)) (*.f64 (neg.f64 im) im)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) re) re) #s(literal 1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (sinh (neg 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)))
#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 #s(approx (* (* (- (* -1/5040 (* im im)) 1/120) im) im) (.f64 #s(literal -1/120 binary64) (.f64 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))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(approx (* (neg (* im im)) (cos re)) (.f64 (.f64 im im) (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #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(literal -1/3 binary64) (.f64 im im)) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.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 #s(literal 0 binary64) (neg.f64 im)) (.f64 im (.f64 (neg.f64 im) im))) (.f64 (neg.f64 im) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (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)))) 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 (.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #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 (* (- (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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 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 (.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 #s(literal -1/3 binary64) (*.f64 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 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im)) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 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)) (fma.f64 (-.f64 (.f64 #s(approx ( (+ (* -1/1440 (* re re)) 1/48) re) (.f64 #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)))
(.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)))
(.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 (-.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))) (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 (* (- (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) 1) im) (*.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/5040 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 (-.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)))

Calls

6 calls:

28.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
9.0ms	re
9.0ms	im
8.0ms	(cos.f64 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)))

Results

Accuracy	Segments	Branch
68.8%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
80.1%	2	`(cos.f64 re)`
80.1%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
73.1%	3	`re`
70.7%	2	`im`
80.2%	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 27 to 30 computations (-11.1% saved)

regimes27.0ms (0.2%)

Memory

10.8MiB live, 69.9MiB allocated

Counts

31 → 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) (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(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 (* (- (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))) (/.f64 #s(approx (* (neg (* im im)) (cos re)) (*.f64 (neg.f64 im) im)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) re) re) #s(literal 1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (sinh (neg 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)))
#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 #s(approx (* (* (- (* -1/5040 (* im im)) 1/120) im) im) (.f64 #s(literal -1/120 binary64) (.f64 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))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(approx (* (neg (* im im)) (cos re)) (.f64 (.f64 im im) (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #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(literal -1/3 binary64) (.f64 im im)) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.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 #s(literal 0 binary64) (neg.f64 im)) (.f64 im (.f64 (neg.f64 im) im))) (.f64 (neg.f64 im) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (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)))) 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 (.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #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 (* (- (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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 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 (.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 #s(literal -1/3 binary64) (*.f64 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 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im)) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 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)) (fma.f64 (-.f64 (.f64 #s(approx ( (+ (* -1/1440 (* re re)) 1/48) re) (.f64 #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)))
(.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)))
(.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 (-.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)))

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 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) 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 (-.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)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
75.3%	2	`(cos.f64 re)`
75.3%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
75.4%	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)

regimes10.0ms (0.1%)

Memory

-36.4MiB live, 25.1MiB allocated

Counts

30 → 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) (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(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 (* (- (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))) (/.f64 #s(approx (* (neg (* im im)) (cos re)) (*.f64 (neg.f64 im) im)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) re) re) #s(literal 1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (sinh (neg 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)))
#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 #s(approx (* (* (- (* -1/5040 (* im im)) 1/120) im) im) (.f64 #s(literal -1/120 binary64) (.f64 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))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(approx (* (neg (* im im)) (cos re)) (.f64 (.f64 im im) (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #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(literal -1/3 binary64) (.f64 im im)) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.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 #s(literal 0 binary64) (neg.f64 im)) (.f64 im (.f64 (neg.f64 im) im))) (.f64 (neg.f64 im) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (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)))) 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 (.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #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 (* (- (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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 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 (.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 #s(literal -1/3 binary64) (*.f64 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 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im)) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 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)) (fma.f64 (-.f64 (.f64 #s(approx ( (+ (* -1/1440 (* re re)) 1/48) re) (.f64 #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)))
(.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)))

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 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) 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

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
75.4%	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)

regimes64.0ms (0.6%)

Memory

-26.1MiB live, 55.2MiB allocated

Counts

29 → 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) (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(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 (* (- (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))) (/.f64 #s(approx (* (neg (* im im)) (cos re)) (*.f64 (neg.f64 im) im)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) re) re) #s(literal 1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (sinh (neg 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)))
#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 #s(approx (* (* (- (* -1/5040 (* im im)) 1/120) im) im) (.f64 #s(literal -1/120 binary64) (.f64 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))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(approx (* (neg (* im im)) (cos re)) (.f64 (.f64 im im) (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #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(literal -1/3 binary64) (.f64 im im)) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.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 #s(literal 0 binary64) (neg.f64 im)) (.f64 im (.f64 (neg.f64 im) im))) (.f64 (neg.f64 im) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (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)))) 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 (.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #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 (* (- (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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 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 (.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 #s(literal -1/3 binary64) (*.f64 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 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im)) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 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)) (fma.f64 (-.f64 (.f64 #s(approx ( (+ (* -1/1440 (* re re)) 1/48) re) (.f64 #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)))
(.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 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) 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 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im)))

Calls

3 calls:

49.0ms	(cos.f64 re)
7.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
6.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
75.0%	2	`(cos.f64 re)`
75.0%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
75.0%	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)

regimes19.0ms (0.2%)

Memory

46.5MiB live, 46.5MiB 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) (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(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 (* (- (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))) (/.f64 #s(approx (* (neg (* im im)) (cos re)) (*.f64 (neg.f64 im) im)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) re) re) #s(literal 1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (sinh (neg 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)))
#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 #s(approx (* (* (- (* -1/5040 (* im im)) 1/120) im) im) (.f64 #s(literal -1/120 binary64) (.f64 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))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(approx (* (neg (* im im)) (cos re)) (.f64 (.f64 im im) (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #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(literal -1/3 binary64) (.f64 im im)) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.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 #s(literal 0 binary64) (neg.f64 im)) (.f64 im (.f64 (neg.f64 im) im))) (.f64 (neg.f64 im) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (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)))) 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 (.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #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 (* (- (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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 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)))

Outputs

(*.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)))

#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 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))

Calls

3 calls:

6.0ms	(*.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
74.6%	2	`(cos.f64 re)`
74.6%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
74.6%	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)

regimes48.0ms (0.4%)

Memory

-9.2MiB live, 54.9MiB 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) (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(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 (* (- (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))) (/.f64 #s(approx (* (neg (* im im)) (cos re)) (*.f64 (neg.f64 im) im)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) re) re) #s(literal 1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (sinh (neg 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)))
#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 #s(approx (* (* (- (* -1/5040 (* im im)) 1/120) im) im) (.f64 #s(literal -1/120 binary64) (.f64 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))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(approx (* (neg (* im im)) (cos re)) (.f64 (.f64 im im) (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #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(literal -1/3 binary64) (.f64 im im)) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.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 #s(literal 0 binary64) (neg.f64 im)) (.f64 im (.f64 (neg.f64 im) im))) (.f64 (neg.f64 im) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (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)))) 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 (.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #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 (* (- (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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 im im)) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)))

Outputs

(*.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(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 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))

Calls

3 calls:

36.0ms	(*.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
73.5%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
73.5%	2	`(cos.f64 re)`
73.5%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes61.0ms (0.5%)

Memory

-18.0MiB live, 106.5MiB 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) (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(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 (* (- (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))) (/.f64 #s(approx (* (neg (* im im)) (cos re)) (*.f64 (neg.f64 im) im)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) re) re) #s(literal 1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (sinh (neg 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)))
#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 #s(approx (* (* (- (* -1/5040 (* im im)) 1/120) im) im) (.f64 #s(literal -1/120 binary64) (.f64 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))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(approx (* (neg (* im im)) (cos re)) (.f64 (.f64 im im) (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #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(literal -1/3 binary64) (.f64 im im)) #s(literal 2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (-.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 #s(literal 0 binary64) (neg.f64 im)) (.f64 im (.f64 (neg.f64 im) im))) (.f64 (neg.f64 im) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (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)))) im))

Outputs

(*.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(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 (sinh (neg 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)))

Calls

6 calls:

33.0ms	im
7.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
5.0ms	re
5.0ms	(cos.f64 re)
4.0ms	(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
60.7%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
66.6%	4	`im`
63.9%	3	`re`
70.2%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
70.3%	2	`(cos.f64 re)`
70.3%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes13.0ms (0.1%)

Memory

27.2MiB live, 27.2MiB 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) (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(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 (* (- (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))) (/.f64 #s(approx (* (neg (* im im)) (cos re)) (*.f64 (neg.f64 im) im)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) re) re) #s(literal 1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (sinh (neg 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)))
#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 #s(approx (* (* (- (* -1/5040 (* im im)) 1/120) im) im) (.f64 #s(literal -1/120 binary64) (.f64 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))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(approx (* (neg (* im im)) (cos re)) (.f64 (.f64 im im) (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #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 (sinh (neg 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)))

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

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
69.4%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
69.4%	2	`(cos.f64 re)`
69.4%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes43.0ms (0.4%)

Memory

-45.7MiB live, 23.3MiB 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) (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(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 (* (- (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))) (/.f64 #s(approx (* (neg (* im im)) (cos re)) (*.f64 (neg.f64 im) im)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) re) re) #s(literal 1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (sinh (neg 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)))
#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 #s(approx (* (* (- (* -1/5040 (* im im)) 1/120) im) im) (.f64 #s(literal -1/120 binary64) (.f64 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))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im))

Outputs

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

Calls

3 calls:

35.0ms	(*.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
68.0%	2	`(cos.f64 re)`
68.0%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
68.0%	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)

regimes16.0ms (0.1%)

Memory

41.5MiB live, 41.5MiB allocated

Counts

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

Outputs

#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))) (*.f64 #s(approx (neg (cos re)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) re) #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 #s(literal -1/6 binary64) (*.f64 im im)) #s(literal 1 binary64)) im)))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
54.1%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
57.0%	2	`re`
58.3%	3	`im`
61.4%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
63.7%	3	`(cos.f64 re)`
63.7%	3	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes21.0ms (0.2%)

Memory

-46.5MiB live, 15.5MiB allocated

Counts

7 → 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) (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(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 (* (- (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))) (/.f64 #s(approx (* (neg (* im im)) (cos re)) (*.f64 (neg.f64 im) im)) im))

Outputs

#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(literal -1/6 binary64) (*.f64 im im)) #s(literal 1 binary64)) im)))

Calls

2 calls:

18.0ms	(cos.f64 re)
3.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))

Results

Accuracy	Segments	Branch
61.4%	2	`(cos.f64 re)`
61.4%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`

Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes20.0ms (0.2%)

Memory

45.7MiB live, 45.7MiB allocated

Counts

4 → 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) (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) (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 (* (neg (cos re)) im) (neg.f64 im)))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
39.0%	2	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
39.0%	2	`im`
36.8%	1	`re`
39.6%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
39.6%	2	`(cos.f64 re)`
39.6%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes20.0ms (0.2%)

Memory

-46.9MiB live, 15.8MiB 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) (*.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)))

Calls

2 calls:

17.0ms	(cos.f64 re)
3.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))

Results

Accuracy	Segments	Branch
39.6%	2	`(cos.f64 re)`
39.6%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`

Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes12.0ms (0.1%)

Memory

29.2MiB live, 29.2MiB 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:

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

Results

Accuracy	Segments	Branch
32.3%	1	`re`
32.3%	1	`im`
32.3%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
32.3%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
32.3%	1	`(cos.f64 re)`
32.3%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.3948923418906494e-11	+inf
0.0ms	-4.622951449428925e-8	-3.323713160829677e-11

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.3948923418906494e-11	+inf
0.0ms	-4.622951449428925e-8	-3.323713160829677e-11

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.3948923418906494e-11

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.3948923418906494e-11

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.3948923418906494e-11

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.3948923418906494e-11

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.00840009885792864	0.017612963183531647

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.00840009885792864	0.017612963183531647

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.00840009885792864	0.017612963183531647

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.3948923418906494e-11

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.00840009885792864	0.017612963183531647

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.4978453468544543	0.4993091314694339
0.0ms	-0.00840009885792864	0.017612963183531647

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	-0.00840009885792864	0.017612963183531647

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	-0.00840009885792864	0.017612963183531647

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	-0.00840009885792864	0.017612963183531647

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify92.0ms (0.8%)

Memory

-14.1MiB live, 114.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	178	1251
1	268	1251
2	423	1251
3	792	1251
4	2078	1211
5	7619	1211

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 -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 7737125245533627/154742504910672534362390528 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 (*.f64 re re) #s(literal -1/2 binary64) #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 7737125245533627/154742504910672534362390528 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 (-.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)))))
(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 (-.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))))
(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 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) 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 (-.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))))
(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 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) 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 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) 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 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im))))
(if (<=.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/1152921504606846976 binary64)) (.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))) #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 (.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))))
(if (<=.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/1152921504606846976 binary64)) (.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(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 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))))
(if (<=.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/1152921504606846976 binary64)) (.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(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 (sinh (neg 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))))
(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 (sinh (neg 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))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(approx (* (neg (* im im)) (cos re)) (.f64 (.f64 im im) (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))) im)))
(if (<=.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/1152921504606846976 binary64)) #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 (sinh (neg 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))))
(if (<=.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/1152921504606846976 binary64)) #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)))) (if (<=.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2242792614430507/4503599627370496 binary64)) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) re) re) #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 #s(literal -1/6 binary64) (*.f64 im im)) #s(literal 1 binary64)) im)))))
(if (<=.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/1152921504606846976 binary64)) #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(literal -1/6 binary64) (*.f64 im im)) #s(literal 1 binary64)) im))))
(if (<=.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/1152921504606846976 binary64)) #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 (* (neg (cos re)) im) (neg.f64 im))))
(if (<=.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/1152921504606846976 binary64)) #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))))
#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 -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 7737125245533627/154742504910672534362390528 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 (*.f64 re re) #s(literal -1/2 binary64) #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 7737125245533627/154742504910672534362390528 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 (*.f64 re re) #s(literal -1/2 binary64) #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 7737125245533627/154742504910672534362390528 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 (-.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)))))
(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 7737125245533627/154742504910672534362390528 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 (-.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)))))
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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 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) 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 (-.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))))
(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 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) 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 (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 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) 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 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) 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 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (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 (.f64 (.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) 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 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im))))
(if (<=.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/1152921504606846976 binary64)) (.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))) #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 (.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))))
(if (<=.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/1152921504606846976 binary64)) (.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(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 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))))
(if (<=.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/1152921504606846976 binary64)) (.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(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 (sinh (neg 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))))
(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 (sinh (neg 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))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(approx (* (neg (* im im)) (cos re)) (.f64 (.f64 im im) (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 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 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (sinh (neg 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))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(approx (* (neg (* im im)) (cos re)) (.f64 (.f64 im im) (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))) im)))
(if (<=.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/1152921504606846976 binary64)) #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 (sinh (neg 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))))
(if (<=.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/1152921504606846976 binary64)) #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)))) (if (<=.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2242792614430507/4503599627370496 binary64)) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) re) re) #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 #s(literal -1/6 binary64) (*.f64 im im)) #s(literal 1 binary64)) im)))))
(if (<=.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/1152921504606846976 binary64)) #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(literal -1/6 binary64) (*.f64 im im)) #s(literal 1 binary64)) im))))
(if (<=.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/1152921504606846976 binary64)) #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 (* (neg (cos re)) im) (neg.f64 im))))
(if (<=.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/1152921504606846976 binary64)) #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))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))

soundness2.1s (18.4%)

Memory

72.6MiB live, 2 197.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	316	1407
1	1042	1202
2	4043	1143
0	8170	1074
0	46	237
0	73	226
1	245	200
0	1472	200
0	11	30
0	18	27
1	64	27
2	420	25
0	5001	25
0	126	381
1	387	349
2	1286	341
3	5237	320
0	8363	297
0	197	653
1	581	618
2	1997	591
3	5468	581
0	8062	550
0	76	476
0	118	471
1	415	440
2	2640	440
0	8503	440
0	313	1434
1	961	1277
2	3568	1239
0	8249	1192

Stop Event

1×	fuel
1×	iter limit
1×	node 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×	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

Compiler

Compiled 2 512 to 1 198 computations (52.3% saved)

preprocess213.0ms (1.9%)

Memory

7.1MiB live, 311.1MiB allocated

Remove

(negabs im)

(abs re)

Compiler

Compiled 2 716 to 482 computations (82.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample3.3s (29.6%)

explain257.0ms (2.3%)

preprocess131.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify126.0ms (1.1%)

localize63.0ms (0.6%)

series26.0ms (0.2%)

simplify315.0ms (2.8%)

rewrite187.0ms (1.7%)

eval54.0ms (0.5%)

prune10.0ms (0.1%)

simplify135.0ms (1.2%)

localize300.0ms (2.7%)

series43.0ms (0.4%)

simplify208.0ms (1.9%)

rewrite508.0ms (4.6%)

eval53.0ms (0.5%)

prune32.0ms (0.3%)

simplify140.0ms (1.3%)

localize216.0ms (1.9%)

series44.0ms (0.4%)

simplify166.0ms (1.5%)

rewrite182.0ms (1.6%)

eval73.0ms (0.7%)

prune30.0ms (0.3%)

simplify161.0ms (1.4%)

localize527.0ms (4.7%)

series70.0ms (0.6%)

simplify216.0ms (1.9%)

rewrite271.0ms (2.4%)

eval81.0ms (0.7%)

prune129.0ms (1.2%)

regimes192.0ms (1.7%)

regimes75.0ms (0.7%)

regimes21.0ms (0.2%)

regimes69.0ms (0.6%)

regimes27.0ms (0.2%)

regimes10.0ms (0.1%)

regimes64.0ms (0.6%)

regimes19.0ms (0.2%)

regimes48.0ms (0.4%)

regimes61.0ms (0.5%)

regimes13.0ms (0.1%)

regimes43.0ms (0.4%)

regimes16.0ms (0.1%)

regimes21.0ms (0.2%)

regimes20.0ms (0.2%)

regimes20.0ms (0.2%)

regimes12.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify92.0ms (0.8%)

soundness2.1s (18.4%)

preprocess213.0ms (1.9%)

end0.0ms (0%)

Profiling