Metrics for math.sin on complex, real part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample1.4s (24.7%)

Memory

17.6MiB live, 1 641.7MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 837.0ms

ival-sin: 425.0ms (50.8% of total)

ival-exp: 127.0ms (15.2% of total)

ival-mult: 117.0ms (14% of total)

ival-sub: 90.0ms (10.8% of total)

ival-add: 60.0ms (7.2% of total)

exact: 9.0ms (1.1% of total)

ival-true: 6.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain120.0ms (2.1%)

Memory

-0.2MiB live, 278.0MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
-	-	`(exp.f64 im)`
-	-	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
-	-	`(sin.f64 re)`
-	-	`#s(literal 0 binary64)`
-	-	`im`
-	-	`(-.f64 #s(literal 0 binary64) im)`
-	-	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
-	-	`re`
-	-	`#s(literal 1/2 binary64)`
-	-	`(exp.f64 (-.f64 #s(literal 0 binary64) im))`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

47.0ms

512×

valid

Compiler

Compiled 92 to 37 computations (59.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-sin: 10.0ms (33.1% of total)

ival-exp: 7.0ms (23.2% of total)

ival-mult: 6.0ms (19.9% of total)

ival-add: 3.0ms (9.9% of total)

ival-sub: 2.0ms (6.6% of total)

exact: 1.0ms (3.3% of total)

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

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

preprocess162.0ms (2.8%)

Memory

14.4MiB live, 255.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	61
1	103	55
2	435	55
3	1613	55
4	7527	55
0	11	12
0	18	11
1	38	11
2	116	11
3	513	11
4	2363	7
0	8622	7

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) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(.f64 (.f64 (cosh.f64 im) (sin.f64 re)) #s(literal 1 binary64))

Symmetry

(abs im)

(negabs re)

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)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify113.0ms (2%)

Memory

5.4MiB live, 201.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 re)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
cost-diff	1	(-.f64 #s(literal 0 binary64) im)
cost-diff	4	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.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	116	34
3	513	34
4	2363	30
0	8622	30

Stop Event

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

Calls

Call 1

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

localize33.0ms (0.6%)

Memory

-11.2MiB live, 74.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 (-.f64 #s(literal 0 binary64) im))
accuracy	0.0	(exp.f64 im)
accuracy	0.00390625	(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
accuracy	0.01171875	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Samples

26.0ms

256×

valid

Compiler

Compiled 40 to 13 computations (67.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-exp: 5.0ms (29.8% of total)

ival-sin: 5.0ms (29.8% of total)

ival-mult: 3.0ms (17.9% of total)

ival-sub: 1.0ms (6% of total)

ival-add: 1.0ms (6% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

-21.3MiB live, 18.0MiB allocated

Counts

7 → 36

Calls

Call 1

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

Outputs
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (sin re))
(sin re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(* -1 im)
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
1
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(+ 1 (* -1 im))
(+ 1 (* im (- (* 1/2 im) 1)))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(+ (exp im) (exp (neg im)))
(exp im)
(exp (neg im))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))
(exp (* -1 im))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	im	@	-inf	((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (- 0 im) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (exp im) (exp (- 0 im)))
1.0ms	im	@	inf	((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (- 0 im) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (exp im) (exp (- 0 im)))
1.0ms	im	@	0	((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (- 0 im) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (exp im) (exp (- 0 im)))
1.0ms	re	@	inf	((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (- 0 im) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (exp im) (exp (- 0 im)))
1.0ms	re	@	0	((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (- 0 im) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (exp im) (exp (- 0 im)))

simplify126.0ms (2.2%)

Memory

29.5MiB live, 227.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	412
1	506	380
2	2053	365
0	8138	331

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 35

Calls

Call 1

Inputs
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (sin re))
(sin re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(* -1 im)
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
1
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(+ 1 (* -1 im))
(+ 1 (* im (- (* 1/2 im) 1)))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(+ (exp im) (exp (neg im)))
(exp im)
(exp (neg im))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))
(exp (* -1 im))

Outputs
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) re)
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/10080 binary64) (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64))) (*.f64 #s(literal 1/2 binary64) re))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) re)
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64))) re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(sin re)
(sin.f64 re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (sin.f64 re)) (*.f64 im im) (sin.f64 re))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (sin.f64 re)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
(* -1 im)
(neg.f64 im)
2
#s(literal 2 binary64)
(+ 2 (pow im 2))
(fma.f64 im im #s(literal 2 binary64))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ 1 im)
(+.f64 #s(literal 1 binary64) im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64))
(+ 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))
(+ (exp im) (exp (neg im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp im)
(exp.f64 im)
(exp (neg im))
(exp.f64 (neg.f64 im))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+ (exp im) (exp (* -1 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp (* -1 im))
(exp.f64 (neg.f64 im))

rewrite146.0ms (2.5%)

Memory

-6.3MiB live, 189.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	34
0	18	30
1	64	26
2	460	24
0	5774	24

Stop Event

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

Counts

7 → 355

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (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))))
(.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (cosh.f64 im)))
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(exp.f64 (neg.f64 im))
(+.f64 (.f64 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (cosh.f64 im)))
(+.f64 (.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 im))) (.f64 #s(literal 1 binary64) (cosh.f64 im)))
(+.f64 (/.f64 (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 (neg.f64 (pow.f64 (sinh.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 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (.f64 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 im))))
(+.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im))
(+.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im)))

eval59.0ms (1%)

Memory: -7.4MiB live, 114.3MiB allocated
Compiler: Compiled 9 141 to 1 284 computations (86% saved)

prune10.0ms (0.2%)

Memory

-10.4MiB live, 29.0MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	382	5	387
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	383	5	388

Accuracy

100.0%

Counts

388 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
▶	77.4%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
▶	51.3%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
▶	69.6%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
▶	87.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (sin.f64 re)) (*.f64 im im) (sin.f64 re)))

Compiler

Compiled 174 to 140 computations (19.5% saved)

simplify155.0ms (2.7%)

Memory

12.8MiB live, 265.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
cost-diff	0	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
cost-diff	1	(-.f64 #s(literal 0 binary64) im)
cost-diff	2	(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
cost-diff	0	(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (sin.f64 re))
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (sin.f64 re)) (*.f64 im im) (sin.f64 re)))
cost-diff	1	(fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (sin.f64 re)) (*.f64 im im) (sin.f64 re))
cost-diff	0	#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
cost-diff	0	(sin.f64 re)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
cost-diff	0	(sin.f64 re)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
cost-diff	0	(sin.f64 re)
cost-diff	0	(cosh.f64 im)
cost-diff	0	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
cost-diff	2	(*.f64 #s(literal 1 binary64) (cosh.f64 im))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	232
0	64	219
1	132	219
2	384	213
3	1509	201
0	8695	199

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
#s(literal 1 binary64)
(cosh.f64 im)
im
(sin.f64 re)
re
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (sin.f64 re)) (*.f64 im im) (sin.f64 re)))
(fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (sin.f64 re)) (*.f64 im im) (sin.f64 re))
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (sin.f64 re))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 im im)
im
#s(literal 1/2 binary64)
(sin.f64 re)
re
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(literal -1/12 binary64)
#s(literal 1/2 binary64)
(+.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 binary64) (cosh.f64 im)) (sin.f64 re))
(*.f64 (sin.f64 re) (cosh.f64 im))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(cosh.f64 im)
#s(literal 1 binary64)
(cosh.f64 im)
im
(sin.f64 re)
re
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (sin.f64 re)) (*.f64 im im) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)) (sin.f64 re)))
(fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (sin.f64 re)) (*.f64 im im) (sin.f64 re))
(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)) (sin.f64 re))
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (sin.f64 re))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 im im)
im
#s(literal 1/2 binary64)
(sin.f64 re)
re
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(literal -1/12 binary64)
#s(literal 1/2 binary64)
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(*.f64 #s(literal 2 binary64) (cosh.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)

localize85.0ms (1.5%)

Memory

-5.9MiB live, 152.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
accuracy	0.03515625	(.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
accuracy	0.2923554437569487	(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
accuracy	27.007094696129123	#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
accuracy	0.0390625	(fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (sin.f64 re)) (*.f64 im im) (sin.f64 re))
accuracy	0.306481293619612	(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
accuracy	5.278741896389704	(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (sin.f64 re))
accuracy	8.303348997626117	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (sin.f64 re)) (*.f64 im im) (sin.f64 re)))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
accuracy	0.0	(sin.f64 re)
accuracy	0.01171875	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
accuracy	14.275147595503048	#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
accuracy	0.0	(sin.f64 re)
accuracy	0.01171875	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
accuracy	31.02259030197527	#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
accuracy	0.0	(*.f64 #s(literal 1 binary64) (cosh.f64 im))
accuracy	0.0	(sin.f64 re)
accuracy	0.0	(cosh.f64 im)
accuracy	0.01171875	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))

Samples

63.0ms

256×

valid

Compiler

Compiled 193 to 31 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 17.0ms (37.9% of total)

ival-add: 7.0ms (15.6% of total)

const: 6.0ms (13.4% of total)

ival-cosh: 5.0ms (11.1% of total)

ival-sin: 5.0ms (11.1% of total)

ival-exp: 3.0ms (6.7% of total)

ival-sub: 1.0ms (2.2% of total)

exact: 1.0ms (2.2% of total)

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

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

series19.0ms (0.3%)

Memory

-5.5MiB live, 32.9MiB allocated

Counts

19 → 62

Calls

Call 1

Inputs
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
(cosh.f64 im)
(sin.f64 re)
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (sin.f64 re)) (*.f64 im im) (sin.f64 re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (sin.f64 re)) (*.f64 im im) (sin.f64 re)))
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (sin.f64 re))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(-.f64 #s(literal 0 binary64) im)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)

Outputs
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(* re (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))
(* re (+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (* -1/6 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/6)))))
(* re (+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/6 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/120 (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))) 1/6)))))
(* re (+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/6 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/120 (+ (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (- (* -1/5040 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/5040)))))) 1/6)))))
(* re (+ 1/2 (* 1/24 (pow im 2))))
(* re (+ 1/2 (+ (* -1/6 (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2))))) (* 1/24 (pow im 2)))))
(* re (+ 1/2 (+ (* 1/24 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1/2 (* 1/24 (pow im 2)))) (* 1/120 (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2))))))))))
(* re (+ 1/2 (+ (* 1/24 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2))))) (* 1/120 (+ 1/2 (* 1/24 (pow im 2)))))))))))
1/2
(+ 1/2 (* -1/12 (pow re 2)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(sin re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (sin re))
(+ (sin re) (* (pow im 2) (* (sin re) (+ 1/2 (* 1/24 (pow im 2))))))
(* (sin re) (+ 1/2 (* 1/24 (pow im 2))))
(* -1/12 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(* -1/12 (pow re 3))
(* (pow re 3) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2))))))
1
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))
(+ 1/2 (* 1/24 (pow im 2)))
(* -1 im)
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+ (exp im) (exp (neg im)))
(* 1/24 (* (pow im 4) (sin re)))
(* (pow im 4) (+ (* 1/24 (sin re)) (* 1/2 (/ (sin re) (pow im 2)))))
(* (pow im 4) (+ (* 1/24 (sin re)) (+ (* 1/2 (/ (sin re) (pow im 2))) (/ (sin re) (pow im 4)))))
(* 1/24 (* (pow im 2) (sin re)))
(* (pow im 2) (+ (* 1/24 (sin re)) (* 1/2 (/ (sin re) (pow im 2)))))
(* 1/24 (pow im 2))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	re	@	0	((* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (+ (* 1/24 (* im im)) 1/2) (+ (exp (- 0 im)) (exp im)) (- 0 im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (* (* re re) -1/12) 1/2) (* (+ (* (* re re) -1/12) 1/2) re))
3.0ms	im	@	0	((* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (+ (* 1/24 (* im im)) 1/2) (+ (exp (- 0 im)) (exp im)) (- 0 im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (* (* re re) -1/12) 1/2) (* (+ (* (* re re) -1/12) 1/2) re))
3.0ms	re	@	inf	((* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (+ (* 1/24 (* im im)) 1/2) (+ (exp (- 0 im)) (exp im)) (- 0 im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (* (* re re) -1/12) 1/2) (* (+ (* (* re re) -1/12) 1/2) re))
3.0ms	im	@	inf	((* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (+ (* 1/24 (* im im)) 1/2) (+ (exp (- 0 im)) (exp im)) (- 0 im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (* (* re re) -1/12) 1/2) (* (+ (* (* re re) -1/12) 1/2) re))
3.0ms	re	@	-inf	((* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (+ (* 1/24 (* im im)) 1/2) (+ (exp (- 0 im)) (exp im)) (- 0 im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (* (* re re) -1/12) 1/2) (* (+ (* (* re re) -1/12) 1/2) re))

simplify151.0ms (2.6%)

Memory

31.3MiB live, 226.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	228	1008
1	922	920
2	3599	882
0	8137	803

Stop Event

1×	iter limit
1×	node limit

Counts

62 → 61

Calls

Call 1

Inputs
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(* re (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))
(* re (+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (* -1/6 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/6)))))
(* re (+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/6 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/120 (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))) 1/6)))))
(* re (+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/6 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/120 (+ (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (- (* -1/5040 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/5040)))))) 1/6)))))
(* re (+ 1/2 (* 1/24 (pow im 2))))
(* re (+ 1/2 (+ (* -1/6 (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2))))) (* 1/24 (pow im 2)))))
(* re (+ 1/2 (+ (* 1/24 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1/2 (* 1/24 (pow im 2)))) (* 1/120 (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2))))))))))
(* re (+ 1/2 (+ (* 1/24 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2))))) (* 1/120 (+ 1/2 (* 1/24 (pow im 2)))))))))))
1/2
(+ 1/2 (* -1/12 (pow re 2)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(sin re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (sin re))
(+ (sin re) (* (pow im 2) (* (sin re) (+ 1/2 (* 1/24 (pow im 2))))))
(* (sin re) (+ 1/2 (* 1/24 (pow im 2))))
(* -1/12 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(* -1/12 (pow re 3))
(* (pow re 3) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2))))))
1
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))
(+ 1/2 (* 1/24 (pow im 2)))
(* -1 im)
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+ (exp im) (exp (neg im)))
(* 1/24 (* (pow im 4) (sin re)))
(* (pow im 4) (+ (* 1/24 (sin re)) (* 1/2 (/ (sin re) (pow im 2)))))
(* (pow im 4) (+ (* 1/24 (sin re)) (+ (* 1/2 (/ (sin re) (pow im 2))) (/ (sin re) (pow im 4)))))
(* 1/24 (* (pow im 2) (sin re)))
(* (pow im 2) (+ (* 1/24 (sin re)) (* 1/2 (/ (sin re) (pow im 2)))))
(* 1/24 (pow im 2))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))

Outputs
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64))) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) re)
re
(* re (+ 1 (* -1/6 (pow re 2))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) re)
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re)
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64))) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) re)
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) re) re) #s(literal 1/12 binary64)) (.f64 #s(literal 1/2 binary64) re))
(* re (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)
(* re (+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (* -1/6 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/6)))))
(fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 im im) #s(literal -1/12 binary64)) (.f64 im im)) #s(literal 1/6 binary64)) (.f64 re re) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im)) re re)
(* re (+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/6 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/120 (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))) 1/6)))))
(.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re)
(* re (+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/6 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/120 (+ (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (- (* -1/5040 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/5040)))))) 1/6)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/5040 binary64) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64))) (.f64 im im)) #s(literal 1/5040 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/2880 binary64) (.f64 im im) #s(literal 1/240 binary64)) (.f64 im im) #s(literal 1/120 binary64))) (.f64 re re) (-.f64 (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 im im) #s(literal -1/12 binary64)) (.f64 im im)) #s(literal 1/6 binary64))) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)
(* re (+ 1/2 (* 1/24 (pow im 2))))
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (+ (* -1/6 (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2))))) (* 1/24 (pow im 2)))))
(.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64))) re)
(* re (+ 1/2 (+ (* 1/24 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1/2 (* 1/24 (pow im 2)))) (* 1/120 (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2))))))))))
(.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) re) re) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) re)
(* re (+ 1/2 (+ (* 1/24 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2))))) (* 1/120 (+ 1/2 (* 1/24 (pow im 2)))))))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)))) re)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/12 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(sin re)
(sin.f64 re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(+ (sin re) (* (pow im 2) (* (sin re) (+ 1/2 (* 1/24 (pow im 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) (sin.f64 re))
(* (sin re) (+ 1/2 (* 1/24 (pow im 2))))
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (sin.f64 re))
(* -1/12 (pow re 2))
(.f64 (.f64 re re) #s(literal -1/12 binary64))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)
(* -1/12 (pow re 3))
(*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/12 binary64))
(* (pow re 3) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/12 binary64)))
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2))))))
(.f64 (neg.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 re re)))) (pow.f64 re #s(literal 3 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow im 2)))
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) (sin.f64 re))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(fma.f64 (.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64))) (.f64 im im) (sin.f64 re))
2
#s(literal 2 binary64)
(+ 2 (pow im 2))
(fma.f64 im im #s(literal 2 binary64))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))
(+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (sin.f64 re))
(+ 1/2 (* 1/24 (pow im 2)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
(* -1 im)
(neg.f64 im)
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+ (exp im) (exp (neg im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* 1/24 (* (pow im 4) (sin re)))
(.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)) (sin.f64 re))
(* (pow im 4) (+ (* 1/24 (sin re)) (* 1/2 (/ (sin re) (pow im 2)))))
(.f64 (.f64 (sin.f64 re) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal -1/24 binary64))) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (+ (* 1/24 (sin re)) (+ (* 1/2 (/ (sin re) (pow im 2))) (/ (sin re) (pow im 4)))))
(.f64 (fma.f64 (sin.f64 re) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal -1/24 binary64)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 im #s(literal 4 binary64)))
(* 1/24 (* (pow im 2) (sin re)))
(.f64 (.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) im) im)
(* (pow im 2) (+ (* 1/24 (sin re)) (* 1/2 (/ (sin re) (pow im 2)))))
(.f64 (.f64 (sin.f64 re) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal -1/24 binary64))) (.f64 im im))
(* 1/24 (pow im 2))
(.f64 #s(literal 1/24 binary64) (.f64 im im))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(+ (exp im) (exp (* -1 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite89.0ms (1.6%)

Memory

-30.2MiB live, 90.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	187
0	64	175
1	212	161
0	1398	161

Stop Event

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

Counts

19 → 198

Calls

Call 1

Inputs
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
(cosh.f64 im)
(sin.f64 re)
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (sin.f64 re)) (*.f64 im im) (sin.f64 re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (sin.f64 re)) (*.f64 im im) (sin.f64 re)))
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (sin.f64 re))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(-.f64 #s(literal 0 binary64) im)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)

Outputs
(*.f64 (cosh.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -2 binary64))
(/.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 (neg.f64 im)))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64)))) (.f64 (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 im)))
(cosh.f64 (neg.f64 im))
(cosh.f64 im)
(-.f64 (cosh.f64 im) (*.f64 #s(literal 0 binary64) (sinh.f64 im)))
(+.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.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 (sin.f64 re) #s(literal 1 binary64)) (cosh.f64 im))
(.f64 (.f64 #s(literal 1 binary64) (sin.f64 re)) (cosh.f64 im))
(.f64 (.f64 (sin.f64 re) (cosh.f64 im)) #s(literal 1 binary64))
(*.f64 (sin.f64 re) (cosh.f64 im))
(.f64 (cosh.f64 im) (.f64 #s(literal 1 binary64) (sin.f64 re)))
(*.f64 (cosh.f64 im) (sin.f64 re))
(.f64 #s(literal 1 binary64) (.f64 (sin.f64 re) (cosh.f64 im)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (sin.f64 re)) #s(literal 2 binary64))
(*.f64 (cosh.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -2 binary64))
(/.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 (neg.f64 im)))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64)))) (.f64 (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 im)))
(cosh.f64 (neg.f64 im))
(cosh.f64 im)
(-.f64 (cosh.f64 im) (*.f64 #s(literal 0 binary64) (sinh.f64 im)))
(+.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.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)))
(sin.f64 re)
(.f64 (.f64 #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))
(.f64 (.f64 #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) (sin.f64 re)) #s(literal 1/2 binary64))
(.f64 #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) (sin.f64 re)))
(.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
(.f64 (.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sin.f64 re))
(.f64 (.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (sin.f64 re)) #s(literal 1/2 binary64))
(.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (sin.f64 re)))
(.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re)) (.f64 im im)) #s(literal 2 binary64))) (-.f64 (sin.f64 re) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re)) (.f64 im im))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re)) (.f64 im im)) #s(literal 2 binary64)) (pow.f64 (sin.f64 re) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re)) (.f64 im im)) (sin.f64 re))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) (pow.f64 (sin.f64 re) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 re) (-.f64 (sin.f64 re) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re)) (.f64 im im))) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re)) (.f64 im im)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re)) (.f64 im im)) #s(literal 2 binary64)) (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re)) (.f64 im im)) (sin.f64 re)))
(/.f64 (fma.f64 (pow.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) (pow.f64 (sin.f64 re) #s(literal 3 binary64))) (fma.f64 (sin.f64 re) (sin.f64 re) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re)) (.f64 im im)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re)) (*.f64 im im)) (sin.f64 re)))))
(/.f64 (fma.f64 (pow.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) (pow.f64 (sin.f64 re) #s(literal 3 binary64))) (fma.f64 (sin.f64 re) (-.f64 (sin.f64 re) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re)) (.f64 im im))) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re)) (.f64 im im)) #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re)) (fabs.f64 im)) (fabs.f64 im) (sin.f64 re))
(fma.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re)) (neg.f64 im)) (neg.f64 im) (sin.f64 re))
(fma.f64 (.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (sin.f64 re) (sin.f64 re))
(fma.f64 (.f64 (.f64 (sin.f64 re) im) im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re))
(fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 re) im)) im (sin.f64 re))
(fma.f64 (fabs.f64 im) (.f64 (fabs.f64 im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re))) (sin.f64 re))
(fma.f64 (neg.f64 im) (.f64 (neg.f64 im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re))) (sin.f64 re))
(fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re)) (*.f64 im im) (sin.f64 re))
(fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 (*.f64 (sin.f64 re) im) im) (sin.f64 re))
(fma.f64 (.f64 im im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re)) (sin.f64 re))
(fma.f64 (sin.f64 re) (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im)) (sin.f64 re))
(fma.f64 im (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 re) im)) (sin.f64 re))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re)) (.f64 im im)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re)) (.f64 im im)) (sin.f64 re))) (/.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re)) (.f64 im im)) (sin.f64 re))))
(-.f64 (sin.f64 re) (.f64 (neg.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 (sin.f64 re) im))) im))
(-.f64 (sin.f64 re) (.f64 (neg.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re))) (.f64 im im)))
(-.f64 (sin.f64 re) (.f64 (neg.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 (sin.f64 re) im) im)))
(-.f64 (sin.f64 re) (.f64 (neg.f64 (.f64 im im)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re)) (.f64 im im)) #s(literal 3 binary64)) (fma.f64 (sin.f64 re) (-.f64 (sin.f64 re) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re)) (.f64 im im))) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re)) (.f64 im im)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (fma.f64 (sin.f64 re) (-.f64 (sin.f64 re) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re)) (.f64 im im))) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re)) (.f64 im im)) #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re)) (.f64 im im)) (sin.f64 re))
(+.f64 (sin.f64 re) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re)) (.f64 im im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re)) (*.f64 im im) (sin.f64 re)))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re))
(.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/4 binary64)) (sin.f64 re)) (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
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(.f64 re (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) re) (-.f64 (.f64 #s(literal -1/12 binary64) (*.f64 re re)) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1/1728 binary64) (pow.f64 (.f64 re re) #s(literal 3 binary64)) #s(literal 1/8 binary64)) re) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 re re) #s(literal -1/24 binary64))))
(/.f64 (.f64 re (-.f64 (pow.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (.f64 #s(literal -1/12 binary64) (*.f64 re re)) #s(literal 1/2 binary64)))
(/.f64 (.f64 re (fma.f64 #s(literal -1/1728 binary64) (pow.f64 (.f64 re re) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 re re) #s(literal -1/24 binary64))))
(fma.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re (*.f64 #s(literal 1/2 binary64) re))
(fma.f64 #s(literal 1/2 binary64) re (.f64 (.f64 #s(literal -1/12 binary64) (*.f64 re re)) re))
(fma.f64 re (.f64 #s(literal -1/12 binary64) (.f64 re re)) (*.f64 re #s(literal 1/2 binary64)))
(fma.f64 re #s(literal 1/2 binary64) (.f64 re (.f64 #s(literal -1/12 binary64) (*.f64 re re))))
(+.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re) (.f64 #s(literal 1/2 binary64) re))
(+.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re))
(+.f64 (.f64 re (.f64 #s(literal -1/12 binary64) (.f64 re re))) (.f64 re #s(literal 1/2 binary64)))
(+.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 re (.f64 #s(literal -1/12 binary64) (.f64 re re))))

eval35.0ms (0.6%)

Memory: 24.9MiB live, 62.2MiB allocated
Compiler: Compiled 7 763 to 961 computations (87.6% saved)

prune43.0ms (0.7%)

Memory

-28.7MiB live, 55.8MiB allocated

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	253	12	265
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	256	14	270

Accuracy

100.0%

Counts

270 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.6%	(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (* 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)))
✓	77.4%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
▶	100.0%	(*.f64 (sin.f64 re) (cosh.f64 im))
	51.3%	(.f64 #s(approx ( 1 (cosh im)) #s(literal 1 binary64)) (sin.f64 re))
▶	55.1%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	39.8%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
▶	56.3%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
▶	38.5%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
	52.6%	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
▶	31.8%	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
✓	87.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (sin.f64 re)) (*.f64 im im) (sin.f64 re)))
	32.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 im im) #s(literal -1/12 binary64)) (.f64 im im)) #s(literal 1/6 binary64)) (.f64 re re) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im)) re re)))
	62.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
	41.2%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re)))

Compiler

Compiled 759 to 527 computations (30.6% saved)

simplify129.0ms (2.2%)

Memory

24.5MiB live, 141.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)
cost-diff	0	#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re))
cost-diff	0	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
cost-diff	0	(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
cost-diff	0	#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
cost-diff	0	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
cost-diff	0	(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
cost-diff	0	#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
cost-diff	0	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
cost-diff	0	#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) re)
cost-diff	0	#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
cost-diff	0	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
cost-diff	0	(cosh.f64 im)
cost-diff	0	(sin.f64 re)
cost-diff	0	(*.f64 (sin.f64 re) (cosh.f64 im))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	309
0	54	301
1	98	301
2	221	301
3	640	301
4	2246	301
0	8743	301

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (sin.f64 re) (cosh.f64 im))
(sin.f64 re)
re
(cosh.f64 im)
im
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) re)
#s(literal 1/2 binary64)
re
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(literal -1/12 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(literal -1/12 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64))
(.f64 #s(literal 1/240 binary64) (.f64 re re))
#s(literal 1/240 binary64)
(*.f64 re re)
re
#s(literal 1/12 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)

Outputs
(*.f64 (sin.f64 re) (cosh.f64 im))
(*.f64 (cosh.f64 im) (sin.f64 re))
(sin.f64 re)
re
(cosh.f64 im)
im
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) re)
#s(literal 1/2 binary64)
re
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(literal -1/12 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(literal -1/12 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64))
(.f64 #s(literal 1/240 binary64) (.f64 re re))
#s(literal 1/240 binary64)
(*.f64 re re)
re
#s(literal 1/12 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)

localize94.0ms (1.6%)

Memory

-23.9MiB live, 135.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)
accuracy	0.3124076914922309	(.f64 #s(literal 1/240 binary64) (.f64 re re))
accuracy	14.275147595503048	#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
accuracy	27.039358592703405	#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re))
accuracy	0.03515625	(.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
accuracy	0.2923554437569487	(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
accuracy	14.275147595503048	#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
accuracy	27.007094696129123	#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
accuracy	0.03515625	(.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
accuracy	0.2923554437569487	(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
accuracy	27.007094696129123	#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
accuracy	31.02259030197527	#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) re)
accuracy	0.01171875	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
accuracy	27.046816598649805	#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
accuracy	31.02259030197527	#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
accuracy	0.0	(sin.f64 re)
accuracy	0.0	(cosh.f64 im)
accuracy	0.01171875	(*.f64 (sin.f64 re) (cosh.f64 im))

Samples

70.0ms

256×

valid

Compiler

Compiled 217 to 31 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 18.0ms (34.8% of total)

const: 12.0ms (23.2% of total)

ival-sin: 8.0ms (15.5% of total)

ival-add: 5.0ms (9.7% of total)

ival-exp: 3.0ms (5.8% of total)

ival-cosh: 3.0ms (5.8% of total)

ival-sub: 2.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory

23.3MiB live, 23.3MiB allocated

Counts

18 → 52

Calls

Call 1

Inputs
(*.f64 (sin.f64 re) (cosh.f64 im))
(sin.f64 re)
(cosh.f64 im)
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) re)
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(.f64 #s(literal 1/240 binary64) (.f64 re re))

Outputs
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
1/2
(+ 1/2 (* -1/12 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))
(* 1/240 (pow re 2))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(sin re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (sin re))
(* -1/12 (pow re 3))
(* (pow re 3) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(* -1/12 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(* 1/240 (pow re 5))
(* (pow re 5) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))
(* (pow re 5) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2)))))
(* 1/240 (pow re 4))
(* (pow re 4) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2)))))
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2))))))
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) 1/240)))
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) (+ 1/240 (/ 1/2 (pow re 4))))))
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
1
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+ (exp im) (exp (neg im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	re	@	0	((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (+ (exp (- 0 im)) (exp im)) (* 1/240 (* re re)))
2.0ms	re	@	inf	((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (+ (exp (- 0 im)) (exp im)) (* 1/240 (* re re)))
2.0ms	re	@	-inf	((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (+ (exp (- 0 im)) (exp im)) (* 1/240 (* re re)))
1.0ms	im	@	-inf	((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (+ (exp (- 0 im)) (exp im)) (* 1/240 (* re re)))
1.0ms	im	@	inf	((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (+ (exp (- 0 im)) (exp im)) (* 1/240 (* re re)))

simplify124.0ms (2.2%)

Memory

4.1MiB live, 160.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	178	693
1	674	632
2	2279	618
0	8223	578

Stop Event

1×	iter limit
1×	node limit

Counts

52 → 51

Calls

Call 1

Inputs
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
1/2
(+ 1/2 (* -1/12 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))
(* 1/240 (pow re 2))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(sin re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (sin re))
(* -1/12 (pow re 3))
(* (pow re 3) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(* -1/12 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(* 1/240 (pow re 5))
(* (pow re 5) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))
(* (pow re 5) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2)))))
(* 1/240 (pow re 4))
(* (pow re 4) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2)))))
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2))))))
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) 1/240)))
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) (+ 1/240 (/ 1/2 (pow re 4))))))
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
1
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+ (exp im) (exp (neg im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))

Outputs
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64))) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) re)
re
(* re (+ 1 (* -1/6 (pow re 2))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) re)
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (-.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) re)
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64))) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) re)
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/240 binary64) re) re (-.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/10080 binary64)) #s(literal 1/12 binary64))) (*.f64 #s(literal 1/2 binary64) re))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/12 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))
(fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(* 1/240 (pow re 2))
(.f64 #s(literal 1/240 binary64) (.f64 re re))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(sin re)
(sin.f64 re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(* -1/12 (pow re 3))
(*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/12 binary64))
(* (pow re 3) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (pow.f64 re #s(literal 3 binary64)))
(* -1/12 (pow re 2))
(.f64 (.f64 re re) #s(literal -1/12 binary64))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)
(* 1/240 (pow re 5))
(*.f64 (pow.f64 re #s(literal 5 binary64)) #s(literal 1/240 binary64))
(* (pow re 5) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))
(.f64 (-.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 re re))) (pow.f64 re #s(literal 5 binary64)))
(* (pow re 5) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/240 binary64)) (/.f64 #s(literal 1/12 binary64) (.f64 re re))) (pow.f64 re #s(literal 5 binary64)))
(* 1/240 (pow re 4))
(*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/240 binary64))
(* (pow re 4) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))
(.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 re re))))
(* (pow re 4) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/240 binary64)) (/.f64 #s(literal 1/12 binary64) (.f64 re re))) (pow.f64 re #s(literal 4 binary64)))
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2))))))
(.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 re re)) #s(literal -1 binary64) #s(literal -1/12 binary64)) (pow.f64 re #s(literal 3 binary64)))
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) 1/240)))
(.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (.f64 re re)) #s(literal 1/240 binary64))) (pow.f64 re #s(literal 5 binary64)))
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) (+ 1/240 (/ 1/2 (pow re 4))))))
(.f64 (neg.f64 (pow.f64 re #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (.f64 re re)) #s(literal 1/240 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 binary64)))))
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (sin.f64 re) (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64))) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow im 2)))
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 (pow im 2))
(fma.f64 im im #s(literal 2 binary64))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+ (exp im) (exp (neg im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(+ (exp im) (exp (* -1 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite56.0ms (1%)

Memory

3.6MiB live, 40.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	217
0	54	211
1	179	199
0	1113	199

Stop Event

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

Counts

18 → 113

Calls

Call 1

Inputs
(*.f64 (sin.f64 re) (cosh.f64 im))
(sin.f64 re)
(cosh.f64 im)
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) re)
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(.f64 #s(literal 1/240 binary64) (.f64 re re))

Outputs
(*.f64 (cosh.f64 im) (sin.f64 re))
(*.f64 (sin.f64 re) (cosh.f64 im))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (sin.f64 re)) #s(literal 2 binary64))
(/.f64 (.f64 (sin.f64 re) (.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(sin.f64 re)
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -2 binary64))
(/.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 (neg.f64 im)))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64)))) (.f64 (fma.f64 (exp.f64 im) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 im)))
(cosh.f64 (neg.f64 im))
(cosh.f64 im)
(-.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (.f64 #s(literal 0 binary64) (sinh.f64 im)))
(+.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.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 #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 re #s(literal 1/2 binary64))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)
(.f64 re (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) re) (-.f64 (.f64 #s(literal -1/12 binary64) (*.f64 re re)) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1/1728 binary64) (pow.f64 (.f64 re re) #s(literal 3 binary64)) #s(literal 1/8 binary64)) re) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 re re) #s(literal -1/24 binary64))))
(/.f64 (.f64 re (-.f64 (pow.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (.f64 #s(literal -1/12 binary64) (*.f64 re re)) #s(literal 1/2 binary64)))
(/.f64 (.f64 re (fma.f64 #s(literal -1/1728 binary64) (pow.f64 (.f64 re re) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 re re) #s(literal -1/24 binary64))))
(fma.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re (*.f64 #s(literal 1/2 binary64) re))
(fma.f64 #s(literal 1/2 binary64) re (.f64 (.f64 #s(literal -1/12 binary64) (*.f64 re re)) re))
(fma.f64 #s(literal 1/2 binary64) re (.f64 re (.f64 #s(literal -1/12 binary64) (*.f64 re re))))
(fma.f64 re (.f64 #s(literal -1/12 binary64) (.f64 re re)) (*.f64 #s(literal 1/2 binary64) re))
(fma.f64 re #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/12 binary64) (*.f64 re re)) re))
(fma.f64 re #s(literal 1/2 binary64) (.f64 re (.f64 #s(literal -1/12 binary64) (*.f64 re re))))
(+.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re) (.f64 #s(literal 1/2 binary64) re))
(+.f64 (.f64 re (.f64 #s(literal -1/12 binary64) (.f64 re re))) (.f64 #s(literal 1/2 binary64) re))
(+.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re))
(+.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 re (.f64 #s(literal -1/12 binary64) (.f64 re re))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (.f64 re re))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/1728 binary64) (pow.f64 (.f64 re re) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (*.f64 re re) #s(literal -1/24 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal -1/1728 binary64) (pow.f64 (.f64 re re) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) #s(literal 2 binary64)) (.f64 (*.f64 re re) #s(literal -1/24 binary64)))))
(/.f64 (fma.f64 #s(literal -1/1728 binary64) (pow.f64 (.f64 re re) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (*.f64 re re) #s(literal -1/24 binary64))))
(fma.f64 (*.f64 #s(literal -1/12 binary64) (neg.f64 re)) (neg.f64 re) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/12 binary64) (fabs.f64 re)) (fabs.f64 re) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64))
(fma.f64 (neg.f64 re) (*.f64 (neg.f64 re) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 re) (*.f64 (fabs.f64 re) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(fma.f64 re (*.f64 #s(literal -1/12 binary64) re) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 re re)))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 re re)) #s(literal -1/12 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 re) (.f64 #s(literal -1/12 binary64) re)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 re re) #s(literal -1/24 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 re re) #s(literal -1/24 binary64)))))
(+.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (.f64 re re)))
(.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)
(.f64 re (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) re) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re) #s(literal 1/2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re) #s(literal 3 binary64))) re) (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) (.f64 #s(literal 1/2 binary64) re))) (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re) #s(literal 2 binary64))))
(/.f64 (.f64 re (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re) #s(literal 1/2 binary64)))
(/.f64 (.f64 re (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re) #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) (.f64 #s(literal 1/2 binary64) re))) (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re) #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re) re (*.f64 #s(literal 1/2 binary64) re))
(fma.f64 #s(literal 1/2 binary64) re (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re) re))
(fma.f64 #s(literal 1/2 binary64) re (.f64 re (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)))
(fma.f64 re (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re) (*.f64 #s(literal 1/2 binary64) re))
(fma.f64 re #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re) re))
(fma.f64 re #s(literal 1/2 binary64) (.f64 re (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)))
(+.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re) re) (.f64 #s(literal 1/2 binary64) re))
(+.f64 (.f64 re (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re)) (.f64 #s(literal 1/2 binary64) re))
(+.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re) re))
(+.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 re (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) (.f64 #s(literal 1/2 binary64) re))) (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) (*.f64 #s(literal 1/2 binary64) re)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) (.f64 #s(literal 1/2 binary64) re))) (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re) #s(literal 2 binary64))))
(fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (neg.f64 re)) (neg.f64 re) #s(literal 1/2 binary64))
(fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (fabs.f64 re)) (fabs.f64 re) #s(literal 1/2 binary64))
(fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re #s(literal 1/2 binary64))
(fma.f64 (neg.f64 re) (.f64 (neg.f64 re) (-.f64 (.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64))) #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 re) (.f64 (fabs.f64 re) (-.f64 (.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64))) #s(literal 1/2 binary64))
(fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(fma.f64 (.f64 re re) (-.f64 (.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
(fma.f64 re (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re)) re))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64))) (.f64 re re)))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 re re)) (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) (.f64 #s(literal 1/2 binary64) re))) (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) (.f64 #s(literal 1/2 binary64) re))) (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re) #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re))
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/240 binary64) (neg.f64 re)) (neg.f64 re))
(.f64 (.f64 #s(literal 1/240 binary64) (fabs.f64 re)) (fabs.f64 re))
(.f64 (.f64 #s(literal 1/240 binary64) re) re)
(.f64 (neg.f64 re) (.f64 (neg.f64 re) #s(literal 1/240 binary64)))
(.f64 (fabs.f64 re) (.f64 (fabs.f64 re) #s(literal 1/240 binary64)))
(.f64 #s(literal 1/240 binary64) (.f64 re re))
(.f64 (.f64 re re) #s(literal 1/240 binary64))
(.f64 re (.f64 #s(literal 1/240 binary64) re))

eval30.0ms (0.5%)

Memory: 3.4MiB live, 40.4MiB allocated
Compiler: Compiled 6 381 to 727 computations (88.6% saved)

prune21.0ms (0.4%)

Memory

-8.3MiB live, 29.9MiB allocated

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	199	9	208
Fresh	2	5	7
Picked	1	4	5
Done	0	2	2
Total	202	20	222

Accuracy

100.0%

Counts

222 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.6%	(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (* 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)))
✓	77.4%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓	100.0%	(*.f64 (sin.f64 re) (cosh.f64 im))
	51.3%	(*.f64 (sin.f64 re) #s(approx (cosh im) #s(literal 1 binary64)))
	46.9%	(.f64 #s(approx ( 1/2 (sin re)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) re) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re) #s(literal 1/2 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	55.1%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/240 binary64) re) re) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	39.8%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
✓	56.3%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓	38.5%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
	38.5%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
▶	38.1%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
▶	13.1%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	9.7%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
▶	52.6%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	62.1%	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))))
✓	31.8%	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
✓	87.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (sin.f64 re)) (*.f64 im im) (sin.f64 re)))
	32.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 im im) #s(literal -1/12 binary64)) (.f64 im im)) #s(literal 1/6 binary64)) (.f64 re re) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im)) re re)))
	62.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
▶	41.2%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re)))

Compiler

Compiled 1 093 to 761 computations (30.4% saved)

simplify128.0ms (2.2%)

Memory

12.4MiB live, 98.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
cost-diff	0	(.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re)
cost-diff	0	#s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re))
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re)))
cost-diff	0	#s(approx (+ (* (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re))
cost-diff	0	(.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)
cost-diff	0	#s(approx (* 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re))
cost-diff	0	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
cost-diff	0	#s(approx (+ (* (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64)))
cost-diff	0	(.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)
cost-diff	0	#s(approx (* 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re))
cost-diff	0	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)
cost-diff	0	#s(approx (* 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re))
cost-diff	0	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
cost-diff	0	#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re))
cost-diff	0	(cosh.f64 im)
cost-diff	0	(*.f64 #s(literal 2 binary64) (cosh.f64 im))
cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (* 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	69	733
0	106	714
1	212	714
2	662	710
3	3822	710
0	8087	710

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (* 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
#s(literal 2 binary64)
(cosh.f64 im)
im
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))
#s(literal -1/12 binary64)
(*.f64 re re)
re
#s(literal 1/2 binary64)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re))
(.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)
#s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
re
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re))
(.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)
#s(approx (+ (* (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64)))
(.f64 (.f64 re re) #s(literal -1/12 binary64))
(*.f64 re re)
re
#s(literal -1/12 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re))
(.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)
#s(approx (+ (* (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)
(.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re)
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 re re))
#s(literal 1/2 binary64)
(*.f64 re re)
re
#s(literal 1/12 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re))
(.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re)
(fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)))) #s(literal 1/6 binary64))
(fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64))))
(*.f64 #s(literal 1/120 binary64) re)
#s(literal 1/120 binary64)
re
(.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im)
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im)
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 im im)
im
#s(literal 1/2 binary64)
(fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))
(*.f64 re re)
#s(literal -1/6 binary64)
#s(literal 1/6 binary64)
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (* 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
(*.f64 (cosh.f64 im) #s(literal 2 binary64))
#s(literal 2 binary64)
(cosh.f64 im)
im
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)
(.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
#s(literal -1/12 binary64)
(*.f64 re re)
re
#s(literal 1/2 binary64)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)))
#s(approx (* 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re))
(.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)
#s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
re
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re))
(.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)
#s(approx (+ (* (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64)))
(.f64 (.f64 re re) #s(literal -1/12 binary64))
(*.f64 re re)
re
#s(literal -1/12 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)))
#s(approx (* 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re))
(.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)
#s(approx (+ (* (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)
(.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re)
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 re re))
#s(literal 1/2 binary64)
(*.f64 re re)
re
#s(literal 1/12 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) im) im) (fma.f64 #s(literal -1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/120 binary64) re) re) #s(literal 1/6 binary64))) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)) re))))
#s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re))
#s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) im) im) (fma.f64 #s(literal -1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/120 binary64) re) re) #s(literal 1/6 binary64))) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)) re)))
(.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re)
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) im) im) (fma.f64 #s(literal -1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/120 binary64) re) re) #s(literal 1/6 binary64))) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)) re))
(fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) im) im) (fma.f64 #s(literal -1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/120 binary64) re) re) #s(literal 1/6 binary64))) (.f64 re re) (fma.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))
(-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)))) #s(literal 1/6 binary64))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) im) im) (fma.f64 #s(literal -1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/120 binary64) re) re) #s(literal 1/6 binary64)))
(fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64))))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) im) im) (fma.f64 #s(literal -1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 #s(literal 1/120 binary64) re) re))
(*.f64 #s(literal 1/120 binary64) re)
#s(literal 1/120 binary64)
re
(.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)))
(.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) im) im) (fma.f64 #s(literal -1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im)
(.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im)
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im)
(.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im)
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 im im)
im
#s(literal 1/2 binary64)
(fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))
(fma.f64 (*.f64 #s(literal 1/120 binary64) re) re #s(literal -1/6 binary64))
(*.f64 re re)
#s(literal -1/6 binary64)
#s(literal 1/6 binary64)
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))
#s(literal 1 binary64)

localize171.0ms (3%)

Memory

-31.3MiB live, 246.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	6.107908823080014	(.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)))
accuracy	8.303348997626117	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re)))
accuracy	11.167968750000002	(fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
accuracy	22.83680410421742	#s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re))
accuracy	0.4993978457913738	(/.f64 #s(literal 1/2 binary64) (*.f64 re re))
accuracy	16.506784787771124	(.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re)
accuracy	27.007094696129123	#s(approx (* 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re))
accuracy	31.02259030197527	#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
accuracy	0.4095429437569487	(.f64 (.f64 re re) #s(literal -1/12 binary64))
accuracy	14.275147595503048	#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
accuracy	27.007094696129123	#s(approx (* 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re))
accuracy	35.615494515443814	#s(approx (+ (* (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64)))
accuracy	0.03515625	(.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)
accuracy	14.275147595503048	#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
accuracy	27.007094696129123	#s(approx (* 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re))
accuracy	27.621662580053055	#s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64))
accuracy	0.01171875	(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (* 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)))
accuracy	0.03515625	(.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)
accuracy	0.2923554437569487	(fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))
accuracy	27.007094696129123	#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re))

Samples

130.0ms

256×

valid

Compiler

Compiled 483 to 56 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-mult: 47.0ms (50.2% of total)

const: 18.0ms (19.2% of total)

ival-add: 11.0ms (11.8% of total)

ival-sin: 5.0ms (5.3% of total)

ival-exp: 4.0ms (4.3% of total)

ival-cosh: 3.0ms (3.2% of total)

ival-sub: 3.0ms (3.2% of total)

ival-div: 2.0ms (2.1% of total)

exact: 1.0ms (1.1% of total)

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

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

series23.0ms (0.4%)

Memory

30.6MiB live, 30.6MiB allocated

Counts

28 → 83

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (* 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
(cosh.f64 im)
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re))
(.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)
#s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re))
(.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)
#s(approx (+ (* (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re))
(.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)
#s(approx (+ (* (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re))
(.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re)
(fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))
(.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(.f64 (.f64 re re) #s(literal -1/12 binary64))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
(.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re)
(/.f64 #s(literal 1/2 binary64) (*.f64 re re))
(.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)))

Outputs
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
1/2
(+ 1/2 (* -1/12 (pow re 2)))
(* re (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))
(* re (+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (* -1/6 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/6)))))
(* re (+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/6 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/120 (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))) 1/6)))))
(* re (+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/6 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/120 (+ (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (- (* -1/5040 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/5040)))))) 1/6)))))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (* -1/6 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/6))))
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/6 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/120 (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))) 1/6))))
(* -1/12 (pow re 2))
(/ 1/2 re)
(/ (+ 1/2 (* -1/12 (pow re 2))) re)
(/ 1/2 (pow re 2))
(* -1/6 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ (* -1/6 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* 1/120 (* (pow im 2) (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (sin re))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* -1/12 (pow re 3))
(* (pow re 3) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(+ (sin re) (* (pow im 2) (* (sin re) (+ 1/2 (* 1/24 (pow im 2))))))
(* (pow re 5) (+ 1/120 (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(* (pow re 5) (- (+ 1/120 (+ (* -1/6 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))) (* 1/6 (/ 1 (pow re 2)))))
(* (pow re 5) (- (+ 1/120 (+ (* -1/6 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (+ (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (+ (/ 1 (pow re 4)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 4)))))) (* 1/6 (/ 1 (pow re 2)))))
(* (pow re 4) (+ 1/120 (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(* (pow re 4) (- (+ 1/120 (+ (* -1/6 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))) (* 1/6 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/120 (+ (* -1/6 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (+ (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (+ (/ 1 (pow re 4)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 4)))))) (* 1/6 (/ 1 (pow re 2)))))
(* -1/12 re)
(* re (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(* 1/120 (* (pow im 2) (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2))))))
(* (pow re 2) (+ (* -1/6 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2))))))
(* -1 (* (pow re 5) (+ (* -1 (+ 1/120 (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))) (* -1 (/ (- (* -1/6 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/6) (pow re 2))))))
(* -1 (* (pow re 5) (+ (* -1 (+ 1/120 (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))) (+ (* -1 (/ (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (pow re 4))) (* -1 (/ (- (* -1/6 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/6) (pow re 2)))))))
(* -1 (* re (- 1/12 (* 1/2 (/ 1 (pow re 2))))))
(sin re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
1
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(+ (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) (* (pow im 2) (* re (+ 1/2 (* 1/2 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))))))
(+ (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) (* (pow im 2) (+ (* re (+ 1/2 (* 1/2 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))) (* (pow im 2) (* re (+ 1/24 (* 1/24 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))))))))
(+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/2 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))) (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(+ 1 (+ (* (pow im 2) (+ 1/2 (+ (* 1/2 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))) (* (pow im 2) (+ 1/24 (* 1/24 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))))))) (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* 1/2 (* (pow im 2) (- (* 1/120 (pow re 2)) 1/6)))
(* (pow im 2) (+ (* 1/24 (* (pow im 2) (- (* 1/120 (pow re 2)) 1/6))) (* 1/2 (- (* 1/120 (pow re 2)) 1/6))))
(+ (exp im) (/ 1 (exp im)))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/24 (* (pow im 4) (sin re)))
(* (pow im 4) (+ (* 1/24 (sin re)) (* 1/2 (/ (sin re) (pow im 2)))))
(* (pow im 4) (+ (* 1/24 (sin re)) (+ (* 1/2 (/ (sin re) (pow im 2))) (/ (sin re) (pow im 4)))))
(* (pow im 4) (* re (+ 1/24 (* 1/24 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))))
(* (pow im 4) (+ (* re (+ 1/24 (* 1/24 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))) (/ (* re (+ 1/2 (* 1/2 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))) (pow im 2))))
(* (pow im 4) (+ (* re (+ 1/24 (* 1/24 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))) (+ (/ (* re (+ 1/2 (* 1/2 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))) (pow im 2)) (/ (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) (pow im 4)))))
(* (pow im 4) (+ 1/24 (* 1/24 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))))
(* (pow im 4) (+ 1/24 (+ (* 1/24 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))) (+ (* 1/2 (/ (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)) (pow im 2))) (* 1/2 (/ 1 (pow im 2)))))))
(* (pow im 4) (+ 1/24 (+ (* 1/24 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))) (+ (* 1/2 (/ (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)) (pow im 2))) (+ (* 1/2 (/ 1 (pow im 2))) (+ (/ 1 (pow im 4)) (/ (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)) (pow im 4))))))))
(+ (exp im) (exp (neg im)))
(* 1/24 (* (pow im 4) (- (* 1/120 (pow re 2)) 1/6)))
(* (pow im 4) (+ (* 1/24 (- (* 1/120 (pow re 2)) 1/6)) (* 1/2 (/ (- (* 1/120 (pow re 2)) 1/6) (pow im 2)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	re	@	inf	((* (* 2 (cosh im)) (* 1/2 (sin re))) (* 2 (cosh im)) (cosh im) (* 1/2 (sin re)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (* (+ (* (- (+ (* (* 1/120 re) re) (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6))) 1/6) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) re) (+ (* (- (+ (* (* 1/120 re) re) (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6))) 1/6) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (+ (* -1/12 (* re re)) 1/2) (* (+ (* -1/12 (* re re)) 1/2) re) (+ (exp (- 0 im)) (exp im)) (* (* re re) -1/12) (+ (exp (- 0 im)) (exp im)) (* (- (/ 1/2 (* re re)) 1/12) re) (/ 1/2 (* re re)) (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6)))
4.0ms	re	@	-inf	((* (* 2 (cosh im)) (* 1/2 (sin re))) (* 2 (cosh im)) (cosh im) (* 1/2 (sin re)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (* (+ (* (- (+ (* (* 1/120 re) re) (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6))) 1/6) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) re) (+ (* (- (+ (* (* 1/120 re) re) (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6))) 1/6) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (+ (* -1/12 (* re re)) 1/2) (* (+ (* -1/12 (* re re)) 1/2) re) (+ (exp (- 0 im)) (exp im)) (* (* re re) -1/12) (+ (exp (- 0 im)) (exp im)) (* (- (/ 1/2 (* re re)) 1/12) re) (/ 1/2 (* re re)) (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6)))
4.0ms	im	@	inf	((* (* 2 (cosh im)) (* 1/2 (sin re))) (* 2 (cosh im)) (cosh im) (* 1/2 (sin re)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (* (+ (* (- (+ (* (* 1/120 re) re) (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6))) 1/6) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) re) (+ (* (- (+ (* (* 1/120 re) re) (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6))) 1/6) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (+ (* -1/12 (* re re)) 1/2) (* (+ (* -1/12 (* re re)) 1/2) re) (+ (exp (- 0 im)) (exp im)) (* (* re re) -1/12) (+ (exp (- 0 im)) (exp im)) (* (- (/ 1/2 (* re re)) 1/12) re) (/ 1/2 (* re re)) (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6)))
3.0ms	re	@	0	((* (* 2 (cosh im)) (* 1/2 (sin re))) (* 2 (cosh im)) (cosh im) (* 1/2 (sin re)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (* (+ (* (- (+ (* (* 1/120 re) re) (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6))) 1/6) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) re) (+ (* (- (+ (* (* 1/120 re) re) (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6))) 1/6) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (+ (* -1/12 (* re re)) 1/2) (* (+ (* -1/12 (* re re)) 1/2) re) (+ (exp (- 0 im)) (exp im)) (* (* re re) -1/12) (+ (exp (- 0 im)) (exp im)) (* (- (/ 1/2 (* re re)) 1/12) re) (/ 1/2 (* re re)) (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6)))
3.0ms	im	@	-inf	((* (* 2 (cosh im)) (* 1/2 (sin re))) (* 2 (cosh im)) (cosh im) (* 1/2 (sin re)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (* (+ (* (- (+ (* (* 1/120 re) re) (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6))) 1/6) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) re) (+ (* (- (+ (* (* 1/120 re) re) (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6))) 1/6) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (+ (* -1/12 (* re re)) 1/2) (* (+ (* -1/12 (* re re)) 1/2) re) (+ (exp (- 0 im)) (exp im)) (* (* re re) -1/12) (+ (exp (- 0 im)) (exp im)) (* (- (/ 1/2 (* re re)) 1/12) re) (/ 1/2 (* re re)) (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6)))

simplify167.0ms (2.9%)

Memory

-3.5MiB live, 149.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	296	1892
1	1156	1792
2	4729	1624
0	8334	1501

Stop Event

1×	iter limit
1×	node limit

Counts

83 → 83

Calls

Call 1

Inputs
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
1/2
(+ 1/2 (* -1/12 (pow re 2)))
(* re (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))
(* re (+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (* -1/6 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/6)))))
(* re (+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/6 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/120 (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))) 1/6)))))
(* re (+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/6 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/120 (+ (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (- (* -1/5040 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/5040)))))) 1/6)))))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (* -1/6 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/6))))
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/6 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/120 (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))) 1/6))))
(* -1/12 (pow re 2))
(/ 1/2 re)
(/ (+ 1/2 (* -1/12 (pow re 2))) re)
(/ 1/2 (pow re 2))
(* -1/6 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ (* -1/6 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* 1/120 (* (pow im 2) (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (sin re))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* -1/12 (pow re 3))
(* (pow re 3) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(+ (sin re) (* (pow im 2) (* (sin re) (+ 1/2 (* 1/24 (pow im 2))))))
(* (pow re 5) (+ 1/120 (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(* (pow re 5) (- (+ 1/120 (+ (* -1/6 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))) (* 1/6 (/ 1 (pow re 2)))))
(* (pow re 5) (- (+ 1/120 (+ (* -1/6 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (+ (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (+ (/ 1 (pow re 4)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 4)))))) (* 1/6 (/ 1 (pow re 2)))))
(* (pow re 4) (+ 1/120 (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(* (pow re 4) (- (+ 1/120 (+ (* -1/6 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))) (* 1/6 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/120 (+ (* -1/6 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (+ (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (+ (/ 1 (pow re 4)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 4)))))) (* 1/6 (/ 1 (pow re 2)))))
(* -1/12 re)
(* re (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(* 1/120 (* (pow im 2) (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2))))))
(* (pow re 2) (+ (* -1/6 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2))))))
(* -1 (* (pow re 5) (+ (* -1 (+ 1/120 (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))) (* -1 (/ (- (* -1/6 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/6) (pow re 2))))))
(* -1 (* (pow re 5) (+ (* -1 (+ 1/120 (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))) (+ (* -1 (/ (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (pow re 4))) (* -1 (/ (- (* -1/6 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/6) (pow re 2)))))))
(* -1 (* re (- 1/12 (* 1/2 (/ 1 (pow re 2))))))
(sin re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
1
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(+ (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) (* (pow im 2) (* re (+ 1/2 (* 1/2 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))))))
(+ (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) (* (pow im 2) (+ (* re (+ 1/2 (* 1/2 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))) (* (pow im 2) (* re (+ 1/24 (* 1/24 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))))))))
(+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/2 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))) (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(+ 1 (+ (* (pow im 2) (+ 1/2 (+ (* 1/2 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))) (* (pow im 2) (+ 1/24 (* 1/24 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))))))) (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* 1/2 (* (pow im 2) (- (* 1/120 (pow re 2)) 1/6)))
(* (pow im 2) (+ (* 1/24 (* (pow im 2) (- (* 1/120 (pow re 2)) 1/6))) (* 1/2 (- (* 1/120 (pow re 2)) 1/6))))
(+ (exp im) (/ 1 (exp im)))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/24 (* (pow im 4) (sin re)))
(* (pow im 4) (+ (* 1/24 (sin re)) (* 1/2 (/ (sin re) (pow im 2)))))
(* (pow im 4) (+ (* 1/24 (sin re)) (+ (* 1/2 (/ (sin re) (pow im 2))) (/ (sin re) (pow im 4)))))
(* (pow im 4) (* re (+ 1/24 (* 1/24 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))))
(* (pow im 4) (+ (* re (+ 1/24 (* 1/24 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))) (/ (* re (+ 1/2 (* 1/2 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))) (pow im 2))))
(* (pow im 4) (+ (* re (+ 1/24 (* 1/24 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))) (+ (/ (* re (+ 1/2 (* 1/2 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))) (pow im 2)) (/ (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) (pow im 4)))))
(* (pow im 4) (+ 1/24 (* 1/24 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))))
(* (pow im 4) (+ 1/24 (+ (* 1/24 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))) (+ (* 1/2 (/ (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)) (pow im 2))) (* 1/2 (/ 1 (pow im 2)))))))
(* (pow im 4) (+ 1/24 (+ (* 1/24 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))) (+ (* 1/2 (/ (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)) (pow im 2))) (+ (* 1/2 (/ 1 (pow im 2))) (+ (/ 1 (pow im 4)) (/ (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)) (pow im 4))))))))
(+ (exp im) (exp (neg im)))
(* 1/24 (* (pow im 4) (- (* 1/120 (pow re 2)) 1/6)))
(* (pow im 4) (+ (* 1/24 (- (* 1/120 (pow re 2)) 1/6)) (* 1/2 (/ (- (* 1/120 (pow re 2)) 1/6) (pow im 2)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))

Outputs
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(.f64 (.f64 re #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64))) (.f64 (.f64 re #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
(.f64 (fma.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))))) re)
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* re (+ 1/2 (* -1/12 (pow re 2))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/240 binary64) re) re (-.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/10080 binary64)) #s(literal 1/12 binary64))) (*.f64 re #s(literal 1/2 binary64)))
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(.f64 (.f64 re #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64))) (.f64 (.f64 re #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(.f64 (fma.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))))) re)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/12 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(* re (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))
(.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)
(* re (+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (* -1/6 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/6)))))
(fma.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (.f64 im im)) #s(literal 1/6 binary64)) (.f64 re re) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im)) re re)
(* re (+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/6 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/120 (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))) 1/6)))))
(.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (.f64 #s(literal 1/120 binary64) re) re #s(literal -1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re)
(* re (+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/6 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/120 (+ (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (- (* -1/5040 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/5040)))))) 1/6)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/5040 binary64) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (.f64 im im)) #s(literal 1/5040 binary64)) (.f64 re re) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal 1/120 binary64))) (.f64 re re) (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (.f64 im im)) #s(literal 1/6 binary64))) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (* -1/6 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/6))))
(fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (.f64 im im)) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/6 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/120 (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))) 1/6))))
(fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (.f64 #s(literal 1/120 binary64) re) re #s(literal -1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(* -1/12 (pow re 2))
(.f64 (.f64 re re) #s(literal -1/12 binary64))
(/ 1/2 re)
(/.f64 #s(literal 1/2 binary64) re)
(/ (+ 1/2 (* -1/12 (pow re 2))) re)
(/.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(/ 1/2 (pow re 2))
(/.f64 (/.f64 #s(literal 1/2 binary64) re) re)
(* -1/6 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (.f64 im im))
(+ (* -1/6 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* 1/120 (* (pow im 2) (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/120 binary64) re) re #s(literal -1/6 binary64)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(* -1/12 (pow re 3))
(*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/12 binary64))
(* (pow re 3) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) re) re) #s(literal 1/12 binary64)) (pow.f64 re #s(literal 3 binary64)))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(.f64 (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) re) re) #s(literal 1/12 binary64)) re) re)
(+ (sin re) (* (pow im 2) (* (sin re) (+ 1/2 (* 1/24 (pow im 2))))))
(fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re)) (*.f64 im im) (sin.f64 re))
(* (pow re 5) (+ 1/120 (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(.f64 (pow.f64 re #s(literal 5 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal 1/120 binary64)))
(* (pow re 5) (- (+ 1/120 (+ (* -1/6 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))) (* 1/6 (/ 1 (pow re 2)))))
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 re re)) #s(literal 1/120 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 re re)))) (pow.f64 re #s(literal 5 binary64)))
(* (pow re 5) (- (+ 1/120 (+ (* -1/6 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (+ (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (+ (/ 1 (pow re 4)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 4)))))) (* 1/6 (/ 1 (pow re 2)))))
(.f64 (+.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 re re)) #s(literal 1/120 binary64)) (/.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) (pow.f64 re #s(literal 4 binary64)))) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 re re)))) (pow.f64 re #s(literal 5 binary64)))
(* (pow re 4) (+ 1/120 (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal 1/120 binary64)))
(* (pow re 4) (- (+ 1/120 (+ (* -1/6 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))) (* 1/6 (/ 1 (pow re 2)))))
(.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 re re)) #s(literal 1/120 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 re re)))))
(* (pow re 4) (- (+ 1/120 (+ (* -1/6 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (+ (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (+ (/ 1 (pow re 4)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 4)))))) (* 1/6 (/ 1 (pow re 2)))))
(.f64 (+.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 re re)) #s(literal 1/120 binary64)) (/.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) (pow.f64 re #s(literal 4 binary64)))) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 re re)))) (pow.f64 re #s(literal 4 binary64)))
(* -1/12 re)
(*.f64 #s(literal -1/12 binary64) re)
(* re (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) re) re) #s(literal 1/12 binary64)) re)
(* 1/120 (* (pow im 2) (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2))))))
(.f64 (.f64 #s(literal 1/120 binary64) (.f64 im im)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) re) re))
(* (pow re 2) (+ (* -1/6 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 re re)) #s(literal 1/120 binary64))) (*.f64 re re))
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2))))))
(*.f64 (neg.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) re) re))) (pow.f64 re #s(literal 3 binary64)))
(* -1 (* (pow re 5) (+ (* -1 (+ 1/120 (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))) (* -1 (/ (- (* -1/6 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/6) (pow re 2))))))
(.f64 (neg.f64 (neg.f64 (pow.f64 re #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 re re)) #s(literal 1/120 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 re re)))))
(* -1 (* (pow re 5) (+ (* -1 (+ 1/120 (* 1/120 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))) (+ (* -1 (/ (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (pow re 4))) (* -1 (/ (- (* -1/6 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/6) (pow re 2)))))))
(.f64 (neg.f64 (pow.f64 re #s(literal 5 binary64))) (fma.f64 #s(literal -1 binary64) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 re re)) #s(literal 1/120 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 re re)))) (/.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal -1 binary64)) (pow.f64 re #s(literal 4 binary64)))))
(* -1 (* re (- 1/12 (* 1/2 (/ 1 (pow re 2))))))
(*.f64 (neg.f64 re) (-.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) re) re)))
(sin re)
(sin.f64 re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 re)) (*.f64 im im) (sin.f64 re))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(fma.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re) (.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (sin.f64 re) (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)))))
2
#s(literal 2 binary64)
(+ 2 (pow im 2))
(fma.f64 im im #s(literal 2 binary64))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(fma.f64 im im (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64)))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(fma.f64 im im (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow im 2)))
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64)) re)
(+ (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) (* (pow im 2) (* re (+ 1/2 (* 1/2 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))))))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64)) re)) im) im (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64)) re))
(+ (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) (* (pow im 2) (+ (* re (+ 1/2 (* 1/2 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))) (* (pow im 2) (* re (+ 1/24 (* 1/24 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))))))))
(fma.f64 (.f64 (.f64 im im) re) (+.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) re) re) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 re re)) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64)) re))
(+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))
(fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/2 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))) (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(fma.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) #s(literal 1/2 binary64)) im) im (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)))
(+ 1 (+ (* (pow im 2) (+ 1/2 (+ (* 1/2 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))) (* (pow im 2) (+ 1/24 (* 1/24 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))))))) (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(fma.f64 (+.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) re) re) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (.f64 im im) (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(* 1/2 (* (pow im 2) (- (* 1/120 (pow re 2)) 1/6)))
(.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 re re)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) im) im)
(* (pow im 2) (+ (* 1/24 (* (pow im 2) (- (* 1/120 (pow re 2)) 1/6))) (* 1/2 (- (* 1/120 (pow re 2)) 1/6))))
(.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (.f64 im im))
(+ (exp im) (/ 1 (exp im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(* 1/24 (* (pow im 4) (sin re)))
(.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)) (sin.f64 re))
(* (pow im 4) (+ (* 1/24 (sin re)) (* 1/2 (/ (sin re) (pow im 2)))))
(.f64 (.f64 (sin.f64 re) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im)))) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (+ (* 1/24 (sin re)) (+ (* 1/2 (/ (sin re) (pow im 2))) (/ (sin re) (pow im 4)))))
(.f64 (fma.f64 (sin.f64 re) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (* re (+ 1/24 (* 1/24 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))))
(.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 #s(literal 1/24 binary64) (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64)) re)))
(* (pow im 4) (+ (* re (+ 1/24 (* 1/24 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))) (/ (* re (+ 1/2 (* 1/2 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))) (pow im 2))))
(.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) re) (fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) re) re) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1/24 binary64))))
(* (pow im 4) (+ (* re (+ 1/24 (* 1/24 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))) (+ (/ (* re (+ 1/2 (* 1/2 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))) (pow im 2)) (/ (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) (pow im 4)))))
(.f64 (fma.f64 re (fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) re) re) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1/24 binary64))) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 re re)) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64)) re) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (+ 1/24 (* 1/24 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))))
(.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) #s(literal 1/24 binary64)))
(* (pow im 4) (+ 1/24 (+ (* 1/24 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))) (+ (* 1/2 (/ (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)) (pow im 2))) (* 1/2 (/ 1 (pow im 2)))))))
(.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) re) re) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1/24 binary64))) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (+ 1/24 (+ (* 1/24 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))) (+ (* 1/2 (/ (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)) (pow im 2))) (+ (* 1/2 (/ 1 (pow im 2))) (+ (/ 1 (pow im 4)) (/ (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)) (pow im 4))))))))
(.f64 (+.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) re) re) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (-.f64 (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) (.f64 im im)))) #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64)))
(+ (exp im) (exp (neg im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* 1/24 (* (pow im 4) (- (* 1/120 (pow re 2)) 1/6)))
(.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)))
(* (pow im 4) (+ (* 1/24 (- (* 1/120 (pow re 2)) 1/6)) (* 1/2 (/ (- (* 1/120 (pow re 2)) 1/6) (pow im 2)))))
(.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im)))) (pow.f64 im #s(literal 4 binary64)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(+ (exp im) (exp (* -1 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite164.0ms (2.9%)

Memory

-1.6MiB live, 159.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	565
0	106	535
1	399	535
2	2807	535
0	9290	533

Stop Event

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

Counts

28 → 327

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (* 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
(cosh.f64 im)
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re))
(.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)
#s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re))
(.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)
#s(approx (+ (* (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re))
(.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)
#s(approx (+ (* (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re))
(.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re)
(fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))
(.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(.f64 (.f64 re re) #s(literal -1/12 binary64))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
(.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re)
(/.f64 #s(literal 1/2 binary64) (*.f64 re re))
(.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)))

Outputs
(.f64 (.f64 #s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(literal 2 binary64)) (cosh.f64 im))
(.f64 (.f64 #s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (cosh.f64 im)) #s(literal 2 binary64))
(.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(.f64 (cosh.f64 im) (.f64 #s(literal 2 binary64) #s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (cosh.f64 im)))
(/.f64 (fma.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))))) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal 0 binary64) #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
(/.f64 (.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
(/.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))) #s(literal 1 binary64))
(fma.f64 (exp.f64 im) #s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (.f64 (exp.f64 im) #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))))
(fma.f64 #s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (exp.f64 im) (.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (exp.f64 im)))
(fma.f64 #s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (cosh.f64 im) (.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (cosh.f64 im)))
(fma.f64 (cosh.f64 im) #s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (cosh.f64 im)))
(+.f64 (.f64 (exp.f64 im) #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))) (.f64 (exp.f64 im) #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))))
(+.f64 (.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (exp.f64 im)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (exp.f64 im)))
(+.f64 (.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (cosh.f64 im)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (cosh.f64 im)))
(.f64 #s(literal 1 binary64) (.f64 (cosh.f64 im) #s(literal 2 binary64)))
(*.f64 (cosh.f64 im) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (/.f64 (+.f64 im im) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 im)) (.f64 (exp.f64 im) #s(literal -1 binary64))) (.f64 (exp.f64 im) (neg.f64 (exp.f64 im))))
(/.f64 (fma.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 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (.f64 (cosh.f64 im) (sinh.f64 im)))) (.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 im)))) (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64))))) (.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 im)))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (.f64 (cosh.f64 im) (sinh.f64 im))))))
(/.f64 (fma.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (neg.f64 (exp.f64 im)) (.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 im)))) #s(literal -1 binary64))) (.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 im)))) (neg.f64 (exp.f64 im))))
(/.f64 (fma.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (exp.f64 im) (.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 im)))) #s(literal 1 binary64))) (.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 im)))) (exp.f64 im)))
(/.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 im) (.f64 (neg.f64 (exp.f64 im)) #s(literal 1 binary64))) (.f64 (neg.f64 (exp.f64 im)) (exp.f64 im)))
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (.f64 (cosh.f64 im) (sinh.f64 im)))) (.f64 (neg.f64 (exp.f64 im)) (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64))))) (.f64 (neg.f64 (exp.f64 im)) (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (.f64 (cosh.f64 im) (sinh.f64 im))))))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (.f64 (cosh.f64 im) (sinh.f64 im)))) (.f64 (exp.f64 im) (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64))))) (.f64 (exp.f64 im) (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (.f64 (cosh.f64 im) (sinh.f64 im))))))
(/.f64 (fma.f64 (neg.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (neg.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) (neg.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64))))) (.f64 (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 (fma.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) #s(literal 0 binary64))) (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64)))) (.f64 (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 im) #s(literal 2 binary64)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))) (cosh.f64 im))
(/.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (pow.f64 (cosh.f64 im) #s(literal 2 binary64)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (cosh.f64 im) #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (fma.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
(/.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (exp.f64 im) #s(literal -3/2 binary64))) (neg.f64 (pow.f64 (exp.f64 im) #s(literal -3/2 binary64))) (exp.f64 im))
(fma.f64 (fabs.f64 (pow.f64 (exp.f64 im) #s(literal -3/2 binary64))) (fabs.f64 (pow.f64 (exp.f64 im) #s(literal -3/2 binary64))) (exp.f64 im))
(fma.f64 (pow.f64 (pow.f64 (exp.f64 im) #s(literal -3/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 im) #s(literal -3/2 binary64)) #s(literal 3 binary64)) (exp.f64 im))
(fma.f64 (pow.f64 (exp.f64 im) #s(literal -3/2 binary64)) (pow.f64 (exp.f64 im) #s(literal -3/2 binary64)) (exp.f64 im))
(fma.f64 #s(literal 1 binary64) (exp.f64 im) (exp.f64 im))
(fma.f64 (exp.f64 im) #s(literal 1 binary64) (exp.f64 im))
(fma.f64 (cosh.f64 im) #s(literal 1 binary64) (+.f64 (sinh.f64 im) (exp.f64 im)))
(fma.f64 (cosh.f64 im) #s(literal 1 binary64) (cosh.f64 im))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 im im) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 im im) #s(literal 2 binary64)))) (+.f64 (sinh.f64 im) (exp.f64 im)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 im im) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 im im) #s(literal 2 binary64)))) (cosh.f64 im))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (+.f64 (sinh.f64 im) (exp.f64 im)))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (cosh.f64 im))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 im))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 im))))
(+.f64 (+.f64 (exp.f64 im) (cosh.f64 im)) (sinh.f64 im))
(+.f64 (/.f64 (exp.f64 im) #s(literal 1 binary64)) (/.f64 (exp.f64 im) #s(literal 1 binary64)))
(+.f64 (exp.f64 im) (exp.f64 im))
(+.f64 (cosh.f64 im) (+.f64 (sinh.f64 im) (exp.f64 im)))
(+.f64 (cosh.f64 im) (cosh.f64 im))
(*.f64 (cosh.f64 im) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (/.f64 (+.f64 im im) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 im im) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 im) #s(literal 2 binary64)))
(/.f64 (fma.f64 (exp.f64 im) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 im))) #s(literal 4 binary64))
(/.f64 (-.f64 (neg.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64))) (neg.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (cosh.f64 im) #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)))
(/.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (cosh.f64 im) (*.f64 #s(literal 0 binary64) (sinh.f64 im)))
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(.f64 im (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) re) re #s(literal -1/6 binary64)) im)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im)) (-.f64 (.f64 (*.f64 #s(literal 1/120 binary64) re) re) #s(literal -1/6 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/216 binary64)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im)) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 re re) #s(literal -1/720 binary64)))))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/36 binary64))) (-.f64 (.f64 (*.f64 #s(literal 1/120 binary64) re) re) #s(literal -1/6 binary64)))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/216 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 re re) #s(literal -1/720 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/120 binary64)) (.f64 re re)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/6 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re #s(literal -1/6 binary64)) im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im)))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64)) (.f64 #s(literal -1/216 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/120 binary64)) (.f64 re re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/120 binary64)) (.f64 re re)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/6 binary64))))))
(neg.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re #s(literal -1/6 binary64)) im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im)))
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im)) im (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/120 binary64)) (*.f64 re re)))
(fma.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (.f64 im im) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/120 binary64)) (*.f64 re re)))
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/120 binary64)) (*.f64 re re)))
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (.f64 #s(literal 1/120 binary64) re)) re (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/6 binary64)))
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/120 binary64)) (.f64 re re) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/6 binary64)))
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (.f64 re re)) #s(literal 1/120 binary64) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/6 binary64)))
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) re) (.f64 #s(literal 1/120 binary64) re) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/6 binary64)))
(fma.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) re) re) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (.f64 im im) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/6 binary64)))
(fma.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) re) re) (.f64 im im)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/6 binary64)))
(fma.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) re) re) (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im)) im (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/6 binary64)))
(fma.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) re) re) im) (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/6 binary64)))
(fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/120 binary64)) (*.f64 re re)))
(fma.f64 (.f64 (.f64 #s(literal 1/120 binary64) re) re) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/6 binary64)))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (.f64 (.f64 #s(literal 1/120 binary64) re) re) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/6 binary64)))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/6 binary64) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/120 binary64)) (*.f64 re re)))
(fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/120 binary64)) (*.f64 re re)))
(fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) (.f64 im (.f64 (.f64 #s(literal 1/120 binary64) re) re)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/6 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) (.f64 im #s(literal -1/6 binary64)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/120 binary64)) (*.f64 re re)))
(fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/6 binary64)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/120 binary64)) (*.f64 re re)))
(fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (.f64 (.f64 #s(literal 1/120 binary64) re) re)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/6 binary64)))
(fma.f64 (.f64 im im) (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/120 binary64)) (*.f64 re re)))
(fma.f64 (.f64 im im) (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/120 binary64) re) re)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/6 binary64)))
(fma.f64 (.f64 #s(literal 1/120 binary64) re) (.f64 re (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/6 binary64)))
(fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 re re) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/6 binary64)))
(fma.f64 (.f64 re re) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/6 binary64)))
(fma.f64 re (.f64 (.f64 #s(literal 1/120 binary64) re) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/6 binary64)))
(fma.f64 im (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) #s(literal -1/6 binary64)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/120 binary64)) (*.f64 re re)))
(fma.f64 im (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) (.f64 (.f64 #s(literal 1/120 binary64) re) re)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/6 binary64)))
(-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/120 binary64)) (.f64 re re)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im)))
(-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/120 binary64)) (.f64 re re)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/6 binary64)))
(+.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/6 binary64)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/120 binary64)) (.f64 re re)))
(+.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/120 binary64)) (.f64 re re)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/6 binary64)))

eval61.0ms (1.1%)

Memory: 11.2MiB live, 86.0MiB allocated
Compiler: Compiled 29 043 to 2 174 computations (92.5% saved)

prune28.0ms (0.5%)

Memory

10.6MiB live, 48.9MiB allocated

Pruning

24 alts after pruning (15 fresh and 9 done)

	Pruned	Kept	Total
New	396	12	408
Fresh	6	3	9
Picked	1	4	5
Done	1	5	6
Total	404	24	428

Accuracy

100.0%

Counts

428 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.6%	(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (* 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)))
	68.4%	(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))
	65.9%	(.f64 (.f64 #s(literal 2 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)))
✓	77.4%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	55.1%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/240 binary64) re) re) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓	56.3%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓	38.5%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
✓	38.1%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
✓	13.1%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	9.7%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
	31.7%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 #s(approx ( (- (/ 1/2 (* re re)) 1/12) re) (/.f64 #s(literal 1/2 binary64) re)) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
	9.7%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 #s(approx ( (- (/ 1/2 (* re re)) 1/12) re) (*.f64 #s(literal -1/12 binary64) re)) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
✓	52.6%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓	31.8%	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
	51.3%	#s(approx (* (* 2 (cosh im)) (* 1/2 (sin re))) (sin.f64 re))
✓	87.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (sin.f64 re)) (*.f64 im im) (sin.f64 re)))
	32.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 im im) #s(literal -1/12 binary64)) (.f64 im im)) #s(literal 1/6 binary64)) (.f64 re re) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im)) re re)))
	41.2%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re #s(literal -1/6 binary64)) im) (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) (-.f64 (.f64 (.f64 #s(literal 1/120 binary64) re) re) #s(literal 1/6 binary64))) (.f64 re re) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) re)))
	62.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
	44.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (neg.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re #s(literal -1/6 binary64)) im) (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re)))
	49.4%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re #s(approx (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6)) (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) im) im))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re)))
	55.6%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re #s(approx (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6)) (.f64 (.f64 #s(literal 1/120 binary64) (.f64 im im)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) re) re)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
	39.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 #s(approx (+ ( (- (+ (* (* 1/120 re) re) (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6))) 1/6) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
	55.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 #s(approx (+ ( (- (+ (* (* 1/120 re) re) (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6))) 1/6) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (fma.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) #s(literal 1/2 binary64)) im) im (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)))) re)))

Compiler

Compiled 2 487 to 919 computations (63% saved)

regimes75.0ms (1.3%)

Memory

-22.6MiB live, 93.4MiB allocated

Counts

39 → 1

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 #s(approx ( (- (/ 1/2 (* re re)) 1/12) re) (*.f64 #s(literal -1/12 binary64) re)) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 #s(approx ( (- (/ 1/2 (* re re)) 1/12) re) (/.f64 #s(literal 1/2 binary64) re)) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 #s(approx (+ ( (- (+ (* (* 1/120 re) re) (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6))) 1/6) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/240 binary64) re) re) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 2 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 im im) #s(literal -1/12 binary64)) (.f64 im im)) #s(literal 1/6 binary64)) (.f64 re re) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im)) re re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 #s(approx (+ ( (- (+ (* (* 1/120 re) re) (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6))) 1/6) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (fma.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) #s(literal 1/2 binary64)) im) im (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re #s(approx (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6)) (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) im) im))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re #s(approx (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6)) (.f64 (.f64 #s(literal 1/120 binary64) (.f64 im im)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) re) re)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re #s(literal -1/6 binary64)) im) (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) (-.f64 (.f64 (.f64 #s(literal 1/120 binary64) re) re) #s(literal 1/6 binary64))) (.f64 re re) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (neg.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re #s(literal -1/6 binary64)) im) (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (sin re))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) #s(literal 1 binary64)) (sin.f64 re))
(*.f64 (sin.f64 re) #s(approx (cosh im) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (* 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) re) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re) #s(literal 1/2 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (sin.f64 re) (cosh.f64 im))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (sin.f64 re)) (*.f64 im im) (sin.f64 re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Outputs
(*.f64 (sin.f64 re) (cosh.f64 im))

Calls

6 calls:

15.0ms	re
14.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
12.0ms	(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
11.0ms	(sin.f64 re)
11.0ms	im

Results

Accuracy	Segments	Branch
100.0%	1	`re`
100.0%	1	`im`
100.0%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
100.0%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
100.0%	1	`(sin.f64 re)`
100.0%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes64.0ms (1.1%)

Memory

6.1MiB live, 88.7MiB allocated

Counts

34 → 3

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 #s(approx ( (- (/ 1/2 (* re re)) 1/12) re) (*.f64 #s(literal -1/12 binary64) re)) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 #s(approx ( (- (/ 1/2 (* re re)) 1/12) re) (/.f64 #s(literal 1/2 binary64) re)) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 #s(approx (+ ( (- (+ (* (* 1/120 re) re) (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6))) 1/6) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/240 binary64) re) re) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 2 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 im im) #s(literal -1/12 binary64)) (.f64 im im)) #s(literal 1/6 binary64)) (.f64 re re) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im)) re re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 #s(approx (+ ( (- (+ (* (* 1/120 re) re) (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6))) 1/6) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (fma.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) #s(literal 1/2 binary64)) im) im (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re #s(approx (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6)) (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) im) im))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re #s(approx (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6)) (.f64 (.f64 #s(literal 1/120 binary64) (.f64 im im)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) re) re)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re #s(literal -1/6 binary64)) im) (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) (-.f64 (.f64 (.f64 #s(literal 1/120 binary64) re) re) #s(literal 1/6 binary64))) (.f64 re re) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (neg.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re #s(literal -1/6 binary64)) im) (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (sin re))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) #s(literal 1 binary64)) (sin.f64 re))
(*.f64 (sin.f64 re) #s(approx (cosh im) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (* 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) re) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re) #s(literal 1/2 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))

Outputs

(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re)))

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

(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))

Calls

6 calls:

14.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
12.0ms	im
10.0ms	re
10.0ms	(sin.f64 re)
9.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
89.6%	2	`re`
94.9%	3	`im`
99.8%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
89.2%	3	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
89.2%	3	`(sin.f64 re)`
89.1%	2	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes11.0ms (0.2%)

Memory

17.5MiB live, 17.5MiB allocated

Counts

32 → 3

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 #s(approx ( (- (/ 1/2 (* re re)) 1/12) re) (*.f64 #s(literal -1/12 binary64) re)) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 #s(approx ( (- (/ 1/2 (* re re)) 1/12) re) (/.f64 #s(literal 1/2 binary64) re)) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 #s(approx (+ ( (- (+ (* (* 1/120 re) re) (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6))) 1/6) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/240 binary64) re) re) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 2 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 im im) #s(literal -1/12 binary64)) (.f64 im im)) #s(literal 1/6 binary64)) (.f64 re re) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im)) re re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 #s(approx (+ ( (- (+ (* (* 1/120 re) re) (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6))) 1/6) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (fma.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) #s(literal 1/2 binary64)) im) im (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re #s(approx (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6)) (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) im) im))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re #s(approx (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6)) (.f64 (.f64 #s(literal 1/120 binary64) (.f64 im im)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) re) re)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re #s(literal -1/6 binary64)) im) (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) (-.f64 (.f64 (.f64 #s(literal 1/120 binary64) re) re) #s(literal 1/6 binary64))) (.f64 re re) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (neg.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re #s(literal -1/6 binary64)) im) (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (sin re))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) #s(literal 1 binary64)) (sin.f64 re))
(*.f64 (sin.f64 re) #s(approx (cosh im) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))))

Outputs

(*.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re)))

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

(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
99.4%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes11.0ms (0.2%)

Memory

-21.8MiB live, 16.9MiB allocated

Counts

30 → 3

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 #s(approx ( (- (/ 1/2 (* re re)) 1/12) re) (*.f64 #s(literal -1/12 binary64) re)) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 #s(approx ( (- (/ 1/2 (* re re)) 1/12) re) (/.f64 #s(literal 1/2 binary64) re)) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 #s(approx (+ ( (- (+ (* (* 1/120 re) re) (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6))) 1/6) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/240 binary64) re) re) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 2 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 im im) #s(literal -1/12 binary64)) (.f64 im im)) #s(literal 1/6 binary64)) (.f64 re re) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im)) re re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 #s(approx (+ ( (- (+ (* (* 1/120 re) re) (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6))) 1/6) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (fma.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) #s(literal 1/2 binary64)) im) im (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re #s(approx (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6)) (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) im) im))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re #s(approx (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6)) (.f64 (.f64 #s(literal 1/120 binary64) (.f64 im im)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) re) re)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re #s(literal -1/6 binary64)) im) (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) (-.f64 (.f64 (.f64 #s(literal 1/120 binary64) re) re) #s(literal 1/6 binary64))) (.f64 re re) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (neg.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re #s(literal -1/6 binary64)) im) (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (sin re))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) #s(literal 1 binary64)) (sin.f64 re))
(*.f64 (sin.f64 re) #s(approx (cosh im) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))

Outputs

(*.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re)))

#s(approx (* (* 2 (cosh im)) (* 1/2 (sin re))) (sin.f64 re))

(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
98.8%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes19.0ms (0.3%)

Memory

-9.7MiB live, 29.2MiB allocated

Counts

29 → 3

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 #s(approx ( (- (/ 1/2 (* re re)) 1/12) re) (*.f64 #s(literal -1/12 binary64) re)) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 #s(approx ( (- (/ 1/2 (* re re)) 1/12) re) (/.f64 #s(literal 1/2 binary64) re)) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 #s(approx (+ ( (- (+ (* (* 1/120 re) re) (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6))) 1/6) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/240 binary64) re) re) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 2 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 im im) #s(literal -1/12 binary64)) (.f64 im im)) #s(literal 1/6 binary64)) (.f64 re re) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im)) re re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 #s(approx (+ ( (- (+ (* (* 1/120 re) re) (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6))) 1/6) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (fma.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) #s(literal 1/2 binary64)) im) im (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re #s(approx (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6)) (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) im) im))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re #s(approx (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6)) (.f64 (.f64 #s(literal 1/120 binary64) (.f64 im im)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) re) re)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re #s(literal -1/6 binary64)) im) (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) (-.f64 (.f64 (.f64 #s(literal 1/120 binary64) re) re) #s(literal 1/6 binary64))) (.f64 re re) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (neg.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re #s(literal -1/6 binary64)) im) (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 2 (cosh im)) (* 1/2 (sin re))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) #s(literal 1 binary64)) (sin.f64 re))
(*.f64 (sin.f64 re) #s(approx (cosh im) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))

Outputs

(*.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re)))

#s(approx (* (* 2 (cosh im)) (* 1/2 (sin re))) (sin.f64 re))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
85.3%	2	`im`
92.4%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes60.0ms (1%)

Memory

10.4MiB live, 86.7MiB allocated

Counts

25 → 2

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 #s(approx ( (- (/ 1/2 (* re re)) 1/12) re) (*.f64 #s(literal -1/12 binary64) re)) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 #s(approx ( (- (/ 1/2 (* re re)) 1/12) re) (/.f64 #s(literal 1/2 binary64) re)) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 #s(approx (+ ( (- (+ (* (* 1/120 re) re) (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6))) 1/6) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/240 binary64) re) re) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 2 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 im im) #s(literal -1/12 binary64)) (.f64 im im)) #s(literal 1/6 binary64)) (.f64 re re) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im)) re re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 #s(approx (+ ( (- (+ (* (* 1/120 re) re) (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6))) 1/6) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (fma.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) #s(literal 1/2 binary64)) im) im (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re #s(approx (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6)) (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) im) im))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re #s(approx (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6)) (.f64 (.f64 #s(literal 1/120 binary64) (.f64 im im)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) re) re)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re #s(literal -1/6 binary64)) im) (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) (-.f64 (.f64 (.f64 #s(literal 1/120 binary64) re) re) #s(literal 1/6 binary64))) (.f64 re re) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re (neg.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re #s(literal -1/6 binary64)) im) (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im)))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re)))

Outputs

(*.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re)))

#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (*.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) re) re #s(approx (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 re re)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) im) im))) #s(literal 1/6 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))

Calls

6 calls:

19.0ms	im
11.0ms	(sin.f64 re)
8.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
7.0ms	re
7.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
65.9%	1	`im`
75.9%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
75.9%	2	`(sin.f64 re)`
65.9%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
68.6%	2	`re`
74.2%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes14.0ms (0.2%)

Memory

27.2MiB live, 27.2MiB allocated

Counts

20 → 2

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 #s(approx ( (- (/ 1/2 (* re re)) 1/12) re) (*.f64 #s(literal -1/12 binary64) re)) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 #s(approx ( (- (/ 1/2 (* re re)) 1/12) re) (/.f64 #s(literal 1/2 binary64) re)) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 #s(approx (+ ( (- (+ (* (* 1/120 re) re) (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6))) 1/6) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/240 binary64) re) re) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 2 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 im im) #s(literal -1/12 binary64)) (.f64 im im)) #s(literal 1/6 binary64)) (.f64 re re) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im)) re re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 #s(approx (+ ( (- (+ (* (* 1/120 re) re) (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6))) 1/6) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (fma.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) #s(literal 1/2 binary64)) im) im (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)))) re)))

Outputs

(*.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re)))

(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))

Calls

2 calls:

6.0ms	(sin.f64 re)
6.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))

Results

Accuracy	Segments	Branch
75.6%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
75.6%	2	`(sin.f64 re)`

Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes23.0ms (0.4%)

Memory

-3.3MiB live, 34.2MiB allocated

Counts

17 → 2

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 #s(approx ( (- (/ 1/2 (* re re)) 1/12) re) (*.f64 #s(literal -1/12 binary64) re)) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 #s(approx ( (- (/ 1/2 (* re re)) 1/12) re) (/.f64 #s(literal 1/2 binary64) re)) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 #s(approx (+ ( (- (+ (* (* 1/120 re) re) (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6))) 1/6) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/240 binary64) re) re) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))

Outputs

(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))

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

Calls

3 calls:

11.0ms	(sin.f64 re)
5.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
5.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
73.3%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
73.3%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
73.3%	2	`(sin.f64 re)`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes17.0ms (0.3%)

Memory

-11.1MiB live, 27.3MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 #s(approx ( (- (/ 1/2 (* re re)) 1/12) re) (*.f64 #s(literal -1/12 binary64) re)) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 #s(approx ( (- (/ 1/2 (* re re)) 1/12) re) (/.f64 #s(literal 1/2 binary64) re)) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))

Outputs

(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))

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

Calls

3 calls:

8.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
4.0ms	(sin.f64 re)
4.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
73.3%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
73.3%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
73.3%	2	`(sin.f64 re)`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes24.0ms (0.4%)

Memory

-0.1MiB live, 38.2MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 #s(approx ( (- (/ 1/2 (* re re)) 1/12) re) (*.f64 #s(literal -1/12 binary64) re)) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 #s(approx ( (- (/ 1/2 (* re re)) 1/12) re) (/.f64 #s(literal 1/2 binary64) re)) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))

Outputs

(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))

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

Calls

6 calls:

7.0ms	re
3.0ms	(sin.f64 re)
3.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
3.0ms	im
3.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
52.6%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
52.6%	1	`im`
56.3%	2	`re`
63.8%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
63.8%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
63.8%	2	`(sin.f64 re)`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes10.0ms (0.2%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 #s(approx ( (- (/ 1/2 (* re re)) 1/12) re) (*.f64 #s(literal -1/12 binary64) re)) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 #s(approx ( (- (/ 1/2 (* re re)) 1/12) re) (/.f64 #s(literal 1/2 binary64) re)) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))

Outputs

(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
60.2%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
60.2%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
60.2%	2	`(sin.f64 re)`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes27.0ms (0.5%)

Memory

-52.8MiB live, 13.6MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 #s(approx ( (- (/ 1/2 (* re re)) 1/12) re) (*.f64 #s(literal -1/12 binary64) re)) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))

Outputs

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

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

Calls

3 calls:

22.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
2.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
2.0ms	(sin.f64 re)

Results

Accuracy	Segments	Branch
60.2%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
60.2%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
60.2%	2	`(sin.f64 re)`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes9.0ms (0.2%)

Memory

18.1MiB live, 18.1MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
52.6%	1	`im`
52.6%	1	`re`
52.6%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
52.6%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
52.6%	1	`(sin.f64 re)`

Compiler

Compiled 20 to 23 computations (-15% saved)

regimes7.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
31.8%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
31.8%	1	`re`
31.8%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
31.8%	1	`(sin.f64 re)`
31.8%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
31.8%	1	`im`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.998575630456627	+inf
0.0ms	-inf	-0.999936560184534

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.998575630456627	+inf
0.0ms	-inf	-0.999936560184534

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch34.0ms (0.6%)

Memory

-38.0MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.998575630456627	+inf
0.0ms	-inf	-0.999936560184534

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.998575630456627	+inf
0.0ms	-inf	-0.999936560184534

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0007038615089905647	0.01171141162371545

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.0080301355777886e-15	1.7897064519838656e-14

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0009664264840625211	4.3394713944638395e-305

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0009664264840625211	4.3394713944638395e-305

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0009664264840625211	4.3394713944638395e-305

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0009664264840625211	4.3394713944638395e-305

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0009664264840625211	4.3394713944638395e-305

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify52.0ms (0.9%)

Memory

35.6MiB live, 72.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	934
1	223	934
2	542	930
3	2385	930

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (sin.f64 re) (cosh.f64 im))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (* 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 (.f64 #s(literal 2 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 (.f64 #s(literal 2 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) #s(approx (* (* 2 (cosh im)) (* 1/2 (sin re))) (sin.f64 re)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 (.f64 #s(literal 2 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) #s(approx (* (* 2 (cosh im)) (* 1/2 (sin re))) (sin.f64 re)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))))
(if (<=.f64 (sin.f64 re) #s(literal 1152921504606847/1152921504606846976 binary64)) (.f64 (.f64 #s(literal 2 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re #s(approx (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6)) (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) im) im))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re))))
(if (<=.f64 (sin.f64 re) #s(literal 6338253001141147/1267650600228229401496703205376 binary64)) (.f64 (.f64 #s(literal 2 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re))) (.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 (sin.f64 re) #s(literal -1152921504606847/2305843009213693952 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re))))
(if (<=.f64 (sin.f64 re) #s(literal -1152921504606847/2305843009213693952 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re))))
(if (<=.f64 (sin.f64 re) #s(literal -1152921504606847/2305843009213693952 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 (sin.f64 re) #s(literal -1152921504606847/2305843009213693952 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) (.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 (sin.f64 re) #s(literal -1152921504606847/2305843009213693952 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 #s(approx ( (- (/ 1/2 (* re re)) 1/12) re) (.f64 #s(literal -1/12 binary64) re)) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) (.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))

Outputs
(*.f64 (sin.f64 re) (cosh.f64 im))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (* 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (* 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 (.f64 #s(literal 2 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 (.f64 #s(literal 2 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 (.f64 #s(literal 2 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) #s(approx (* (* 2 (cosh im)) (* 1/2 (sin re))) (sin.f64 re)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 (.f64 #s(literal 2 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 1 binary64)) #s(approx (* (* 2 (cosh im)) (* 1/2 (sin re))) (sin.f64 re)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 (.f64 #s(literal 2 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) #s(approx (* (* 2 (cosh im)) (* 1/2 (sin re))) (sin.f64 re)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 (.f64 #s(literal 2 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 1 binary64)) #s(approx (* (* 2 (cosh im)) (* 1/2 (sin re))) (sin.f64 re)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))))
(if (<=.f64 (sin.f64 re) #s(literal 1152921504606847/1152921504606846976 binary64)) (.f64 (.f64 #s(literal 2 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) re) re #s(approx (* (* (* (+ (* 1/24 (* im im)) 1/2) im) im) (+ (* 1/120 (* re re)) -1/6)) (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) im) im))) #s(literal 1/6 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) re))))
(if (<=.f64 (sin.f64 re) #s(literal 6338253001141147/1267650600228229401496703205376 binary64)) (.f64 (.f64 #s(literal 2 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re))) (.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 (sin.f64 re) #s(literal -1152921504606847/2305843009213693952 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re))))
(if (<=.f64 (sin.f64 re) #s(literal -1152921504606847/2305843009213693952 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (+ (* (* (+ (* 1/24 (* im im)) 1/2) (sin re)) (* im im)) (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re))))
(if (<=.f64 (sin.f64 re) #s(literal -1152921504606847/2305843009213693952 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 (sin.f64 re) #s(literal -1152921504606847/2305843009213693952 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) (.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 (sin.f64 re) #s(literal -1152921504606847/2305843009213693952 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 #s(approx ( (- (/ 1/2 (* re re)) 1/12) re) (.f64 #s(literal -1/12 binary64) re)) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) (.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))

soundness1.2s (21.2%)

Memory

-15.1MiB live, 932.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	130	412
1	506	380
2	2053	365
0	8138	331
0	39	187
0	64	175
1	212	161
0	1398	161
0	11	34
0	18	30
1	64	26
2	460	24
0	5774	24
0	228	1008
1	922	920
2	3599	882
0	8137	803
0	296	1892
1	1156	1792
2	4729	1624
0	8334	1501
0	178	693
1	674	632
2	2279	618
0	8223	578
0	35	217
0	54	211
1	179	199
0	1113	199

Stop Event

1×	fuel
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	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 2 169 to 1 015 computations (53.2% saved)

preprocess90.0ms (1.6%)

Memory

15.6MiB live, 134.1MiB allocated

Remove

(negabs re)

(abs im)

Compiler

Compiled 1 946 to 338 computations (82.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (24.7%)

explain120.0ms (2.1%)

preprocess162.0ms (2.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify113.0ms (2%)

localize33.0ms (0.6%)

series9.0ms (0.2%)

simplify126.0ms (2.2%)

rewrite146.0ms (2.5%)

eval59.0ms (1%)

prune10.0ms (0.2%)

simplify155.0ms (2.7%)

localize85.0ms (1.5%)

series19.0ms (0.3%)

simplify151.0ms (2.6%)

rewrite89.0ms (1.6%)

eval35.0ms (0.6%)

prune43.0ms (0.7%)

simplify129.0ms (2.2%)

localize94.0ms (1.6%)

series13.0ms (0.2%)

simplify124.0ms (2.2%)

rewrite56.0ms (1%)

eval30.0ms (0.5%)

prune21.0ms (0.4%)

simplify128.0ms (2.2%)

localize171.0ms (3%)

series23.0ms (0.4%)

simplify167.0ms (2.9%)

rewrite164.0ms (2.9%)

eval61.0ms (1.1%)

prune28.0ms (0.5%)

regimes75.0ms (1.3%)

regimes64.0ms (1.1%)

regimes11.0ms (0.2%)

regimes11.0ms (0.2%)

regimes19.0ms (0.3%)

regimes60.0ms (1%)

regimes14.0ms (0.2%)

regimes23.0ms (0.4%)

regimes17.0ms (0.3%)

regimes24.0ms (0.4%)

regimes10.0ms (0.2%)

regimes27.0ms (0.5%)

regimes9.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch34.0ms (0.6%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify52.0ms (0.9%)

soundness1.2s (21.2%)

preprocess90.0ms (1.6%)

end0.0ms (0%)

Profiling