Metrics for math.exp on complex, real part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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 7 to 7 computations (0% saved)

sample889.0ms (10.4%)

Memory

3.9MiB live, 1 048.9MiB allocated

Samples

615.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 412.0ms

ival-cos: 246.0ms (59.8% of total)

ival-exp: 96.0ms (23.3% of total)

ival-mult: 60.0ms (14.6% of total)

ival-true: 6.0ms (1.5% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain61.0ms (0.7%)

Memory

-5.5MiB live, 89.5MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 (exp.f64 re) (cos.f64 im))`
-	-	`(cos.f64 im)`
-	-	`re`
-	-	`(exp.f64 re)`
-	-	`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

31.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-cos: 11.0ms (59.8% of total)

ival-exp: 4.0ms (21.7% of total)

ival-mult: 3.0ms (16.3% of total)

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

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

preprocess165.0ms (1.9%)

Memory

5.0MiB live, 146.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	51	29
2	138	27
3	411	27
4	1535	27
0	5	5
0	8	5
1	19	5
2	39	5
3	85	5
4	302	5
5	2302	5
0	9257	5

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))

Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))

Symmetry

(abs im)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))

Compiler

Compiled 5 to 5 computations (0% saved)

simplify243.0ms (2.9%)

Memory

-5.3MiB live, 214.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(cos.f64 im)
cost-diff	0	(exp.f64 re)
cost-diff	0	(*.f64 (exp.f64 re) (cos.f64 im))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	8	11
1	19	11
2	39	11
3	85	11
4	302	11
5	2302	11
0	9257	11

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(exp.f64 re)
re
(cos.f64 im)
im

Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 re)
re
(cos.f64 im)
im

localize45.0ms (0.5%)

Memory

14.6MiB live, 58.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 re)
accuracy	0.0	(cos.f64 im)
accuracy	0.01171875	(*.f64 (exp.f64 re) (cos.f64 im))

Samples

40.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-cos: 6.0ms (63.6% of total)

ival-exp: 2.0ms (21.2% of total)

ival-mult: 2.0ms (21.2% of total)

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

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

series4.0ms (0%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

3 → 16

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(exp.f64 re)
(cos.f64 im)

Outputs
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(* (cos im) (exp re))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	re	@	inf	((* (exp re) (cos im)) (exp re) (cos im))
1.0ms	im	@	0	((* (exp re) (cos im)) (exp re) (cos im))
1.0ms	re	@	-inf	((* (exp re) (cos im)) (exp re) (cos im))
0.0ms	re	@	0	((* (exp re) (cos im)) (exp re) (cos im))
0.0ms	im	@	inf	((* (exp re) (cos im)) (exp re) (cos im))

simplify465.0ms (5.5%)

Memory

-28.2MiB live, 274.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	175
1	237	164
2	882	160
3	3902	156
0	8046	136

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 16

Calls

Call 1

Inputs
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(* (cos im) (exp re))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))

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

rewrite154.0ms (1.8%)

Memory

32.7MiB live, 263.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
0	8	9
1	19	9
2	88	9
3	649	9
0	8589	9

Stop Event

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

Counts

3 → 291

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(exp.f64 re)
(cos.f64 im)

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

eval34.0ms (0.4%)

Memory: -14.3MiB live, 85.2MiB allocated
Compiler: Compiled 6 367 to 865 computations (86.4% saved)

prune11.0ms (0.1%)

Memory

-14.4MiB live, 31.9MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	299	8	307
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	299	9	308

Accuracy

100.0%

Counts

308 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (cos.f64 im) (exp.f64 (neg.f64 re)))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	58.8%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
▶	65.5%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	65.0%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
	60.0%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
	49.4%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
▶	49.4%	#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
▶	48.7%	#s(approx (* (exp re) (cos im)) (cos.f64 im))

Compiler

Compiled 193 to 153 computations (20.7% saved)

simplify160.0ms (1.9%)

Memory

39.8MiB live, 229.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 im)
cost-diff	0	(fma.f64 (cos.f64 im) re (cos.f64 im))
cost-diff	0	#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
cost-diff	0	#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
cost-diff	0	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
cost-diff	0	(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
cost-diff	0	(exp.f64 re)
cost-diff	0	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
cost-diff	0	(cos.f64 im)
cost-diff	0	#s(approx (* (exp re) (cos im)) (cos.f64 im))
cost-diff	0	(neg.f64 re)
cost-diff	0	(exp.f64 (neg.f64 re))
cost-diff	0	(cos.f64 im)
cost-diff	1	(/.f64 (cos.f64 im) (exp.f64 (neg.f64 re)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	141
0	45	141
1	80	141
2	182	140
3	547	140
4	1725	140
0	8236	140

Stop Event

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

Calls

Call 1

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

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

localize104.0ms (1.2%)

Memory

-14.9MiB live, 168.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 im)
accuracy	0.03125	(fma.f64 (cos.f64 im) re (cos.f64 im))
accuracy	17.459806248220534	#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
accuracy	0.0390625	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
accuracy	0.04296875	(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
accuracy	0.12890625	(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy	17.170644698859412	#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy	0.0	(*.f64 im im)
accuracy	0.0	(exp.f64 re)
accuracy	0.01171875	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
accuracy	23.53302705339173	#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	0.0	(cos.f64 im)
accuracy	17.57039051063991	#s(approx (* (exp re) (cos im)) (cos.f64 im))
accuracy	0.0	(neg.f64 re)
accuracy	0.0	(exp.f64 (neg.f64 re))
accuracy	0.0	(cos.f64 im)
accuracy	0.0078125	(/.f64 (cos.f64 im) (exp.f64 (neg.f64 re)))

Samples

53.0ms	193×	0	valid
30.0ms	63×	0	exit

Compiler

Compiled 105 to 25 computations (76.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-cos: 11.0ms (29.7% of total)

ival-mult: 10.0ms (27% of total)

ival-add: 6.0ms (16.2% of total)

ival-exp: 3.0ms (8.1% of total)

const: 3.0ms (8.1% of total)

ival-div: 1.0ms (2.7% of total)

ival-neg: 1.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory

-18.7MiB live, 25.2MiB allocated

Counts

17 → 54

Calls

Call 1

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

Outputs
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (- (* -1 (* re (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im)))))
(+ (cos im) (* re (- (* re (- (* -1 (* re (+ (cos im) (+ (* -1 (cos im)) (* -1/6 (cos im)))))) (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im)))))
1
(+ 1 (* -1 re))
(+ 1 (* re (- (* 1/2 re) 1)))
(+ 1 (* re (- (* re (+ 1/2 (* -1/6 re))) 1)))
(* -1 re)
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
1/2
(+ 1/2 (* 1/6 re))
(/ (cos im) (exp (neg re)))
(exp (neg re))
(* (cos im) (exp re))
(exp re)
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* re (cos im))
(* re (+ (cos im) (/ (cos im) re)))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(/ (cos im) (exp (* -1 re)))
(exp (* -1 re))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))
(/ 1 (exp (neg re)))
(+ (* -1/2 (/ (pow im 2) (exp (neg re)))) (/ 1 (exp (neg re))))
(+ (* (pow im 2) (- (* 1/24 (/ (pow im 2) (exp (neg re)))) (* 1/2 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re))))
(+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/720 (/ (pow im 2) (exp (neg re)))) (* 1/24 (/ 1 (exp (neg re)))))) (* 1/2 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re))))
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(+ 1 (+ re (* (pow im 2) (- (* -1/2 re) 1/2))))
(+ 1 (+ re (* (pow im 2) (- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (* 1/24 re)))) 1/2))))
(+ 1 (+ re (* (pow im 2) (- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (+ (* 1/24 re) (* (pow im 2) (- (* -1/720 re) 1/720)))))) 1/2))))
(pow im 2)
(* -1/2 (pow im 2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	re	@	inf	((/ (cos im) (exp (neg re))) (cos im) (exp (neg re)) (neg re) (* (exp re) (cos im)) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (* im im) (+ (* 1/6 re) 1/2))
2.0ms	im	@	0	((/ (cos im) (exp (neg re))) (cos im) (exp (neg re)) (neg re) (* (exp re) (cos im)) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (* im im) (+ (* 1/6 re) 1/2))
2.0ms	re	@	-inf	((/ (cos im) (exp (neg re))) (cos im) (exp (neg re)) (neg re) (* (exp re) (cos im)) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (* im im) (+ (* 1/6 re) 1/2))
2.0ms	re	@	0	((/ (cos im) (exp (neg re))) (cos im) (exp (neg re)) (neg re) (* (exp re) (cos im)) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (* im im) (+ (* 1/6 re) 1/2))
1.0ms	im	@	inf	((/ (cos im) (exp (neg re))) (cos im) (exp (neg re)) (neg re) (* (exp re) (cos im)) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (* im im) (+ (* 1/6 re) 1/2))

simplify198.0ms (2.3%)

Memory

36.9MiB live, 330.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	184	585
1	624	538
2	2311	516
3	7386	513
0	8037	457

Stop Event

1×	iter limit
1×	node limit

Counts

54 → 54

Calls

Call 1

Inputs
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (- (* -1 (* re (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im)))))
(+ (cos im) (* re (- (* re (- (* -1 (* re (+ (cos im) (+ (* -1 (cos im)) (* -1/6 (cos im)))))) (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im)))))
1
(+ 1 (* -1 re))
(+ 1 (* re (- (* 1/2 re) 1)))
(+ 1 (* re (- (* re (+ 1/2 (* -1/6 re))) 1)))
(* -1 re)
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
1/2
(+ 1/2 (* 1/6 re))
(/ (cos im) (exp (neg re)))
(exp (neg re))
(* (cos im) (exp re))
(exp re)
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* re (cos im))
(* re (+ (cos im) (/ (cos im) re)))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(/ (cos im) (exp (* -1 re)))
(exp (* -1 re))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))
(/ 1 (exp (neg re)))
(+ (* -1/2 (/ (pow im 2) (exp (neg re)))) (/ 1 (exp (neg re))))
(+ (* (pow im 2) (- (* 1/24 (/ (pow im 2) (exp (neg re)))) (* 1/2 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re))))
(+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/720 (/ (pow im 2) (exp (neg re)))) (* 1/24 (/ 1 (exp (neg re)))))) (* 1/2 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re))))
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(+ 1 (+ re (* (pow im 2) (- (* -1/2 re) 1/2))))
(+ 1 (+ re (* (pow im 2) (- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (* 1/24 re)))) 1/2))))
(+ 1 (+ re (* (pow im 2) (- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (+ (* 1/24 re) (* (pow im 2) (- (* -1/720 re) 1/720)))))) 1/2))))
(pow im 2)
(* -1/2 (pow im 2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))

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

rewrite252.0ms (3%)

Memory

6.5MiB live, 245.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	121
0	45	121
1	144	121
2	974	121
0	8198	121

Stop Event

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

Counts

17 → 310

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (cos.f64 im) #s(literal 1 binary64)) (exp.f64 re))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 im)))) (/.f64 #s(literal -1 binary64) (exp.f64 re)))
(/.f64 (.f64 (cos.f64 im) (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64)))) (.f64 #s(literal 1 binary64) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (*.f64 (cosh.f64 re) (sinh.f64 re))))))
(/.f64 (neg.f64 (neg.f64 (cos.f64 im))) (exp.f64 (neg.f64 re)))
(/.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re))))
(/.f64 (neg.f64 (cos.f64 im)) (/.f64 #s(literal -1 binary64) (exp.f64 re)))
(/.f64 (cos.f64 im) (exp.f64 (neg.f64 re)))
(neg.f64 (/.f64 (cos.f64 im) (/.f64 #s(literal -1 binary64) (exp.f64 re))))
(fma.f64 (/.f64 (cos.f64 im) #s(literal 1 binary64)) (sinh.f64 re) (*.f64 (/.f64 (cos.f64 im) #s(literal 1 binary64)) (cosh.f64 re)))
(fma.f64 (/.f64 (cos.f64 im) #s(literal 1 binary64)) (cosh.f64 re) (*.f64 (/.f64 (cos.f64 im) #s(literal 1 binary64)) (sinh.f64 re)))
(fma.f64 (sinh.f64 re) (/.f64 (cos.f64 im) #s(literal 1 binary64)) (*.f64 (cosh.f64 re) (/.f64 (cos.f64 im) #s(literal 1 binary64))))
(fma.f64 (cosh.f64 re) (/.f64 (cos.f64 im) #s(literal 1 binary64)) (*.f64 (sinh.f64 re) (/.f64 (cos.f64 im) #s(literal 1 binary64))))
(+.f64 (.f64 (sinh.f64 re) (/.f64 (cos.f64 im) #s(literal 1 binary64))) (.f64 (cosh.f64 re) (/.f64 (cos.f64 im) #s(literal 1 binary64))))
(+.f64 (.f64 (cosh.f64 re) (/.f64 (cos.f64 im) #s(literal 1 binary64))) (.f64 (sinh.f64 re) (/.f64 (cos.f64 im) #s(literal 1 binary64))))
(+.f64 (.f64 (/.f64 (cos.f64 im) #s(literal 1 binary64)) (sinh.f64 re)) (.f64 (/.f64 (cos.f64 im) #s(literal 1 binary64)) (cosh.f64 re)))
(+.f64 (.f64 (/.f64 (cos.f64 im) #s(literal 1 binary64)) (cosh.f64 re)) (.f64 (/.f64 (cos.f64 im) #s(literal 1 binary64)) (sinh.f64 re)))
(+.f64 (/.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (exp.f64 (neg.f64 re))) (/.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) (exp.f64 (neg.f64 re))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 (sin.f64 im) #s(literal 0 binary64))) (.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) (.f64 (cos.f64 im) #s(literal 1 binary64)))) (-.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 (cos.f64 im) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 (sin.f64 im) #s(literal 0 binary64)) (-.f64 (.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) (.f64 (cos.f64 im) #s(literal 1 binary64))) (.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 (cos.f64 im) #s(literal 1 binary64))))))
(fma.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64) (*.f64 (cos.f64 im) #s(literal 1 binary64)))
(fma.f64 (sin.f64 im) #s(literal 0 binary64) (*.f64 (cos.f64 im) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 #s(literal 0 binary64) (sin.f64 im)))
(sin.f64 (+.f64 (neg.f64 (neg.f64 im)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im))
(-.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 im))))
(cos.f64 (neg.f64 (neg.f64 im)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(+.f64 (.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64)) (.f64 (cos.f64 im) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(literal 0 binary64) (sin.f64 im)))
(+.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 (cos.f64 im) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 re) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 re) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 re) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (pow.f64 (cosh.f64 re) #s(literal 2 binary64))) (-.f64 (sinh.f64 (neg.f64 re)) (cosh.f64 re)))
(/.f64 (+.f64 (neg.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (pow.f64 (cosh.f64 re) #s(literal 3 binary64))) (fma.f64 (sinh.f64 re) (sinh.f64 re) (-.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (*.f64 (sinh.f64 (neg.f64 re)) (cosh.f64 re)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 re)) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 re)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cosh.f64 re) (cosh.f64 re) (*.f64 (sinh.f64 re) (exp.f64 re)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (*.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 re))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 re))))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) (.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (*.f64 (sinh.f64 re) (exp.f64 re))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (*.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 re)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 re))))
(/.f64 #s(literal 1 binary64) (exp.f64 re))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 re)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (exp.f64 re)) (/.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (exp.f64 re)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (fma.f64 (cosh.f64 re) (cosh.f64 re) (.f64 (sinh.f64 re) (exp.f64 re)))) (/.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (fma.f64 (cosh.f64 re) (cosh.f64 re) (.f64 (sinh.f64 re) (exp.f64 re)))))
(-.f64 (cosh.f64 re) (sinh.f64 re))
(exp.f64 (*.f64 re #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 re)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 re))
(+.f64 (neg.f64 (neg.f64 (cosh.f64 re))) (neg.f64 (sinh.f64 (neg.f64 (neg.f64 re)))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))))) (/.f64 (neg.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))))))
(+.f64 (sinh.f64 (neg.f64 re)) (cosh.f64 re))
(+.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))
(neg.f64 re)
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(.f64 #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64))) (exp.f64 re))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (cosh.f64 re) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))) (.f64 (cosh.f64 re) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64))))) (.f64 (.f64 (sinh.f64 re) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))) (.f64 (sinh.f64 re) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))))) (-.f64 (.f64 (cosh.f64 re) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))) (.f64 (sinh.f64 re) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64))) (cosh.f64 re)) (.f64 #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64))) (cosh.f64 re))) (.f64 (.f64 #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64))) (sinh.f64 re)) (.f64 #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64))) (sinh.f64 re)))) (-.f64 (.f64 #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64))) (cosh.f64 re)) (.f64 #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64))) (sinh.f64 re))))
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(+.f64 (/.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (fma.f64 (cos.f64 im) (cos.f64 im) (.f64 (.f64 re (cos.f64 im)) (-.f64 (.f64 re (cos.f64 im)) (cos.f64 im))))) (/.f64 (pow.f64 (.f64 re (cos.f64 im)) #s(literal 3 binary64)) (fma.f64 (cos.f64 im) (cos.f64 im) (.f64 (.f64 re (cos.f64 im)) (-.f64 (*.f64 re (cos.f64 im)) (cos.f64 im))))))
(+.f64 (/.f64 (pow.f64 (.f64 re (cos.f64 im)) #s(literal 3 binary64)) (fma.f64 (cos.f64 im) (cos.f64 im) (.f64 (.f64 re (cos.f64 im)) (-.f64 (.f64 re (cos.f64 im)) (cos.f64 im))))) (/.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (fma.f64 (cos.f64 im) (cos.f64 im) (.f64 (.f64 re (cos.f64 im)) (-.f64 (*.f64 re (cos.f64 im)) (cos.f64 im))))))
(+.f64 (/.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (.f64 (cos.f64 im) (fma.f64 re (.f64 re (cos.f64 im)) (-.f64 (cos.f64 im) (.f64 re (cos.f64 im)))))) (/.f64 (pow.f64 (.f64 re (cos.f64 im)) #s(literal 3 binary64)) (.f64 (cos.f64 im) (fma.f64 re (.f64 re (cos.f64 im)) (-.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))))))
(+.f64 (/.f64 (pow.f64 (.f64 re (cos.f64 im)) #s(literal 3 binary64)) (.f64 (cos.f64 im) (fma.f64 re (.f64 re (cos.f64 im)) (-.f64 (cos.f64 im) (.f64 re (cos.f64 im)))))) (/.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (.f64 (cos.f64 im) (fma.f64 re (.f64 re (cos.f64 im)) (-.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))))))
(+.f64 (/.f64 (pow.f64 (.f64 re (cos.f64 im)) #s(literal 2 binary64)) (-.f64 (.f64 re (cos.f64 im)) (cos.f64 im))) (/.f64 (neg.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64))) (-.f64 (*.f64 re (cos.f64 im)) (cos.f64 im))))
(+.f64 (*.f64 re (cos.f64 im)) (cos.f64 im))
(+.f64 (cos.f64 im) (*.f64 (neg.f64 (neg.f64 re)) (cos.f64 im)))
(+.f64 (cos.f64 im) (*.f64 (neg.f64 (neg.f64 (cos.f64 im))) re))
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(*.f64 (exp.f64 (log.f64 im)) (exp.f64 (log.f64 im)))
(*.f64 (neg.f64 (neg.f64 (neg.f64 im))) (neg.f64 (neg.f64 (neg.f64 im))))
(*.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)))
(*.f64 (neg.f64 (neg.f64 im)) im)
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 im (neg.f64 (neg.f64 im)))
(*.f64 im im)
(pow.f64 (exp.f64 (log.f64 im)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 im)) #s(literal 2 binary64))
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 im) im))
(sqrt.f64 (pow.f64 im #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 im) im))
(fabs.f64 (*.f64 im im))
(exp.f64 (*.f64 (log.f64 (neg.f64 im)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 im) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 im) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))) (.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 3 binary64)) (fma.f64 (.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 re #s(literal 1/12 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 3 binary64)) (fma.f64 (.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 re #s(literal 1/12 binary64)))))) (.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 re #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 re #s(literal 1/12 binary64))))))) (-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 3 binary64)) (fma.f64 (.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 re #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) (.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/6 binary64) re) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 re re) #s(literal 1/36 binary64) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) re)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 3 binary64)) (fma.f64 (.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 re #s(literal 1/12 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 re #s(literal 1/12 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 3 binary64)) (fma.f64 (.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 re #s(literal 1/12 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 3 binary64)) (fma.f64 (.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 re #s(literal 1/12 binary64))))) (-.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 re #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 re #s(literal 1/12 binary64)))))) (.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 3 binary64)) (fma.f64 (.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 re #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 re #s(literal 1/12 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 re #s(literal 1/12 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 3 binary64)) (fma.f64 (.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 re #s(literal 1/12 binary64)))) (.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 re #s(literal 1/12 binary64)))) #s(literal 1/8 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 re #s(literal 1/12 binary64)))) (fma.f64 (.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/6 binary64) re) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 re #s(literal 1/12 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/6 binary64) re) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 re #s(literal 1/12 binary64)))))
(neg.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re))) (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) re))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/6 binary64) re) (-.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/6 binary64) re) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/6 binary64) re) (-.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/6 binary64) re) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 re #s(literal 1/12 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 3 binary64)) (fma.f64 (.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 3 binary64)) (fma.f64 (.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 re #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))))
(+.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 re)) #s(literal 1/6 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))

eval94.0ms (1.1%)

Memory: -19.7MiB live, 125.7MiB allocated
Compiler: Compiled 12 905 to 1 669 computations (87.1% saved)

prune35.0ms (0.4%)

Memory

-6.7MiB live, 39.3MiB allocated

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	422	12	434
Fresh	2	1	3
Picked	2	3	5
Done	0	1	1
Total	426	17	443

Accuracy

100.0%

Counts

443 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (cos.f64 im) (exp.f64 (neg.f64 re)))
	66.1%	(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
	49.1%	(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	29.4%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
✓	65.0%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
	40.3%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	60.0%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
▶	38.0%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	49.4%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
	30.9%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	70.3%	#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re))
✓	48.7%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
▶	32.7%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
	31.1%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
	30.8%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
▶	28.8%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))

Compiler

Compiled 547 to 396 computations (27.6% saved)

simplify170.0ms (2%)

Memory

20.6MiB live, 205.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))
cost-diff	0	(exp.f64 re)
cost-diff	0	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
cost-diff	0	(fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))
cost-diff	0	#s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))
cost-diff	0	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
cost-diff	0	#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
cost-diff	0	(*.f64 im im)
cost-diff	0	(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
cost-diff	0	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
cost-diff	0	(exp.f64 re)
cost-diff	0	#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	355
0	70	355
1	126	353
2	314	352
3	1419	352
4	6447	352
0	8078	352

Stop Event

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

Calls

Call 1

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

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

localize140.0ms (1.6%)

Memory

-19.1MiB live, 259.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 re)
accuracy	0.01171875	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
accuracy	23.53302705339173	#s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))
accuracy	23.789424773419025	#s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
accuracy	0.16015625	(*.f64 #s(literal -1/720 binary64) re)
accuracy	0.1875	(.f64 (-.f64 (.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im)
accuracy	17.459806248220534	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
accuracy	23.462278366205563	#s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))
accuracy	0.0	(*.f64 im im)
accuracy	0.01171875	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
accuracy	17.301286254378148	#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy	23.53302705339173	#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	0.0	(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
accuracy	0.0	(*.f64 im im)
accuracy	17.57039051063991	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
accuracy	23.53302705339173	#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	0.0	(exp.f64 re)
accuracy	13.979112130248472	#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re))

Samples

94.0ms	193×	0	valid
19.0ms	63×	0	exit

Compiler

Compiled 223 to 39 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 31.0ms (45.6% of total)

const: 12.0ms (17.6% of total)

ival-add: 10.0ms (14.7% of total)

ival-cos: 7.0ms (10.3% of total)

ival-exp: 3.0ms (4.4% of total)

ival-sub: 2.0ms (2.9% of total)

ival-div: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory

40.7MiB live, 40.7MiB allocated

Counts

19 → 67

Calls

Call 1

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

Outputs
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (- (* -1 (* re (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im)))))
(+ (cos im) (* re (- (* re (- (* -1 (* re (+ (cos im) (+ (* -1 (cos im)) (* -1/6 (cos im)))))) (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im)))))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(+ 1 (* 1/2 re))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))) (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))))
(- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)
(- (+ (* re (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2))))) 1/2)
(* -1/720 im)
(+ (* -1/720 im) (* -1/720 (* im re)))
(* -1/720 re)
(/ (cos im) (exp (neg re)))
(exp re)
(* (cos im) (exp re))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* 1/2 re)
(* re (+ 1/2 (/ 1 re)))
(* re (cos im))
(* re (+ (cos im) (/ (cos im) re)))
(* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))))
(* re (+ 1 (+ (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) (+ (/ 1 re) (/ (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) re)))))
(* re (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))
(* re (- (+ (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) (/ (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) re)) (+ 1/2 (* 1/2 (/ 1 re)))))
(* -1/720 (* im re))
(* re (+ (* -1/720 im) (* -1/720 (/ im re))))
(/ (cos im) (exp (* -1 re)))
(* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))
(* -1 (* re (- (* (pow im 2) (+ 1/2 (* (pow im 2) (- (* 1/720 (pow im 2)) 1/24)))) 1)))
(* -1 (* re (- (+ (* -1 (/ (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) re)) (* (pow im 2) (+ 1/2 (* (pow im 2) (- (* 1/720 (pow im 2)) 1/24))))) 1)))
(* -1 (* re (+ 1/2 (* (pow im 2) (- (* 1/720 (pow im 2)) 1/24)))))
(* -1 (* re (+ 1/2 (+ (* -1 (/ (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2) re)) (* (pow im 2) (- (* 1/720 (pow im 2)) 1/24))))))
(* -1 (* re (+ (* 1/720 im) (* 1/720 (/ im re)))))
(/ 1 (exp (neg re)))
(+ (* -1/2 (/ (pow im 2) (exp (neg re)))) (/ 1 (exp (neg re))))
(+ (* (pow im 2) (- (* 1/24 (/ (pow im 2) (exp (neg re)))) (* 1/2 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re))))
(+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/720 (/ (pow im 2) (exp (neg re)))) (* 1/24 (/ 1 (exp (neg re)))))) (* 1/2 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re))))
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(pow im 2)
(+ 1 (+ re (* (pow im 2) (- (* -1/2 re) 1/2))))
(+ 1 (+ re (* (pow im 2) (- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (* 1/24 re)))) 1/2))))
(+ 1 (+ re (* (pow im 2) (- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (+ (* 1/24 re) (* (pow im 2) (- (* -1/720 re) 1/720)))))) 1/2))))
(- (* -1/2 re) 1/2)
(- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (* 1/24 re)))) 1/2)
(- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (+ (* 1/24 re) (* (pow im 2) (- (* -1/720 re) 1/720)))))) 1/2)
(* im (- (* -1/720 re) 1/720))
(* -1/2 (pow im 2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(* (pow im 6) (- (* -1/720 re) 1/720))
(* (pow im 6) (- (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (* 1/24 (/ 1 (pow im 2))))) 1/720))
(* (pow im 6) (- (+ (* -1/2 (/ re (pow im 4))) (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (* 1/24 (/ 1 (pow im 2)))))) (+ 1/720 (/ 1/2 (pow im 4)))))
(* (pow im 6) (- (+ (* -1/2 (/ re (pow im 4))) (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (+ (* 1/24 (/ 1 (pow im 2))) (+ (/ 1 (pow im 6)) (/ re (pow im 6))))))) (+ 1/720 (/ 1/2 (pow im 4)))))
(* (pow im 4) (- (* -1/720 re) 1/720))
(* (pow im 4) (- (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (* 1/24 (/ 1 (pow im 2))))) 1/720))
(* (pow im 4) (- (+ (* -1/2 (/ re (pow im 4))) (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (* 1/24 (/ 1 (pow im 2)))))) (+ 1/720 (/ 1/2 (pow im 4)))))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	im	@	0	((/ (cos im) (exp (neg re))) (exp re) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (- (* -1/720 re) 1/720) im) (* -1/720 re))
3.0ms	re	@	inf	((/ (cos im) (exp (neg re))) (exp re) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (- (* -1/720 re) 1/720) im) (* -1/720 re))
3.0ms	im	@	inf	((/ (cos im) (exp (neg re))) (exp re) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (- (* -1/720 re) 1/720) im) (* -1/720 re))
3.0ms	re	@	-inf	((/ (cos im) (exp (neg re))) (exp re) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (- (* -1/720 re) 1/720) im) (* -1/720 re))
2.0ms	im	@	-inf	((/ (cos im) (exp (neg re))) (exp re) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (- (* -1/720 re) 1/720) im) (* -1/720 re))

simplify342.0ms (4%)

Memory

-39.7MiB live, 393.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	234	1040
1	780	958
2	2950	899
0	8546	815

Stop Event

1×	iter limit
1×	node limit

Counts

67 → 67

Calls

Call 1

Inputs
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (- (* -1 (* re (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im)))))
(+ (cos im) (* re (- (* re (- (* -1 (* re (+ (cos im) (+ (* -1 (cos im)) (* -1/6 (cos im)))))) (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im)))))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(+ 1 (* 1/2 re))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))) (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))))
(- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)
(- (+ (* re (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2))))) 1/2)
(* -1/720 im)
(+ (* -1/720 im) (* -1/720 (* im re)))
(* -1/720 re)
(/ (cos im) (exp (neg re)))
(exp re)
(* (cos im) (exp re))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* 1/2 re)
(* re (+ 1/2 (/ 1 re)))
(* re (cos im))
(* re (+ (cos im) (/ (cos im) re)))
(* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))))
(* re (+ 1 (+ (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) (+ (/ 1 re) (/ (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) re)))))
(* re (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))
(* re (- (+ (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) (/ (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) re)) (+ 1/2 (* 1/2 (/ 1 re)))))
(* -1/720 (* im re))
(* re (+ (* -1/720 im) (* -1/720 (/ im re))))
(/ (cos im) (exp (* -1 re)))
(* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))
(* -1 (* re (- (* (pow im 2) (+ 1/2 (* (pow im 2) (- (* 1/720 (pow im 2)) 1/24)))) 1)))
(* -1 (* re (- (+ (* -1 (/ (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) re)) (* (pow im 2) (+ 1/2 (* (pow im 2) (- (* 1/720 (pow im 2)) 1/24))))) 1)))
(* -1 (* re (+ 1/2 (* (pow im 2) (- (* 1/720 (pow im 2)) 1/24)))))
(* -1 (* re (+ 1/2 (+ (* -1 (/ (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2) re)) (* (pow im 2) (- (* 1/720 (pow im 2)) 1/24))))))
(* -1 (* re (+ (* 1/720 im) (* 1/720 (/ im re)))))
(/ 1 (exp (neg re)))
(+ (* -1/2 (/ (pow im 2) (exp (neg re)))) (/ 1 (exp (neg re))))
(+ (* (pow im 2) (- (* 1/24 (/ (pow im 2) (exp (neg re)))) (* 1/2 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re))))
(+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/720 (/ (pow im 2) (exp (neg re)))) (* 1/24 (/ 1 (exp (neg re)))))) (* 1/2 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re))))
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(pow im 2)
(+ 1 (+ re (* (pow im 2) (- (* -1/2 re) 1/2))))
(+ 1 (+ re (* (pow im 2) (- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (* 1/24 re)))) 1/2))))
(+ 1 (+ re (* (pow im 2) (- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (+ (* 1/24 re) (* (pow im 2) (- (* -1/720 re) 1/720)))))) 1/2))))
(- (* -1/2 re) 1/2)
(- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (* 1/24 re)))) 1/2)
(- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (+ (* 1/24 re) (* (pow im 2) (- (* -1/720 re) 1/720)))))) 1/2)
(* im (- (* -1/720 re) 1/720))
(* -1/2 (pow im 2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(* (pow im 6) (- (* -1/720 re) 1/720))
(* (pow im 6) (- (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (* 1/24 (/ 1 (pow im 2))))) 1/720))
(* (pow im 6) (- (+ (* -1/2 (/ re (pow im 4))) (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (* 1/24 (/ 1 (pow im 2)))))) (+ 1/720 (/ 1/2 (pow im 4)))))
(* (pow im 6) (- (+ (* -1/2 (/ re (pow im 4))) (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (+ (* 1/24 (/ 1 (pow im 2))) (+ (/ 1 (pow im 6)) (/ re (pow im 6))))))) (+ 1/720 (/ 1/2 (pow im 4)))))
(* (pow im 4) (- (* -1/720 re) 1/720))
(* (pow im 4) (- (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (* 1/24 (/ 1 (pow im 2))))) 1/720))
(* (pow im 4) (- (+ (* -1/2 (/ re (pow im 4))) (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (* 1/24 (/ 1 (pow im 2)))))) (+ 1/720 (/ 1/2 (pow im 4)))))

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

rewrite788.0ms (9.2%)

Memory

-76.2MiB live, 464.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	271
0	70	271
1	264	269
2	2067	269
0	9726	269

Stop Event

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

Counts

19 → 325

Calls

Call 1

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

Outputs
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re))
(pow.f64 (exp.f64 #s(literal 1 binary64)) re)
(pow.f64 (exp.f64 re) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64))) (fma.f64 (sinh.f64 re) (sinh.f64 re) (-.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (*.f64 (sinh.f64 re) (cosh.f64 re)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (*.f64 (cosh.f64 re) (sinh.f64 re))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 re))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 re)))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (*.f64 (cosh.f64 re) (sinh.f64 re)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 re)))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (exp.f64 (neg.f64 re))) (/.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (exp.f64 (neg.f64 re))))
(-.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))
(exp.f64 (neg.f64 (neg.f64 re)))
(exp.f64 re)
(+.f64 (/.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (.f64 (cosh.f64 re) (sinh.f64 re))))) (/.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (.f64 (cosh.f64 re) (sinh.f64 re))))))
(+.f64 (sinh.f64 re) (cosh.f64 re))
(+.f64 (cosh.f64 re) (sinh.f64 (neg.f64 (neg.f64 re))))
(+.f64 (cosh.f64 re) (sinh.f64 re))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))))) (/.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))))) (-.f64 (.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))) #s(literal -1 binary64))) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))))) (pow.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im)))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 im im)) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 im im)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 im im)) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 im im)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))) #s(literal 1 binary64))) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 im im)) #s(literal 1 binary64))))
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(/.f64 (.f64 (-.f64 (.f64 #s(literal -1/373248000 binary64) (pow.f64 re #s(literal 3 binary64))) #s(literal 1/373248000 binary64)) im) (fma.f64 #s(literal 1/518400 binary64) (*.f64 re re) (fma.f64 re #s(literal -1/518400 binary64) #s(literal 1/518400 binary64))))
(/.f64 (.f64 im (-.f64 (.f64 #s(literal 1/518400 binary64) (*.f64 re re)) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) re #s(literal 1/720 binary64)))
(/.f64 (.f64 im (-.f64 (.f64 #s(literal -1/373248000 binary64) (pow.f64 re #s(literal 3 binary64))) #s(literal 1/373248000 binary64))) (fma.f64 #s(literal 1/518400 binary64) (*.f64 re re) (fma.f64 re #s(literal -1/518400 binary64) #s(literal 1/518400 binary64))))
(*.f64 #s(literal -1/720 binary64) re)
(*.f64 re #s(literal -1/720 binary64))

eval88.0ms (1%)

Memory: 11.2MiB live, 148.1MiB allocated
Compiler: Compiled 31 431 to 2 320 computations (92.6% saved)

prune44.0ms (0.5%)

Memory

-34.3MiB live, 56.0MiB allocated

Pruning

26 alts after pruning (19 fresh and 7 done)

	Pruned	Kept	Total
New	520	14	534
Fresh	3	5	8
Picked	2	3	5
Done	0	4	4
Total	525	26	551

Accuracy

100.0%

Counts

551 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (cos.f64 im) (exp.f64 (neg.f64 re)))
▶	66.1%	(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
	49.1%	(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	29.4%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
✓	65.0%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
	10.7%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
	60.0%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
	49.4%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
	13.0%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
▶	15.0%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	14.9%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	70.3%	#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re))
▶	38.2%	#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
	35.6%	#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
	27.8%	#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
▶	27.5%	#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) #s(literal 1 binary64)))
✓	48.7%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
	32.7%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 re im im) #s(literal -1/720 binary64)) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (.f64 im im) (+.f64 #s(literal 1 binary64) re))))
▶	32.8%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (neg.f64 re))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
	18.3%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64))))))
	9.8%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 1 binary64)) (neg.f64 re)))))
	30.8%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
✓	28.8%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	24.3%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im))))
	11.2%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))

Compiler

Compiled 1 134 to 810 computations (28.6% saved)

simplify194.0ms (2.3%)

Memory

8.6MiB live, 191.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (neg.f64 re)))
cost-diff	0	(fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (neg.f64 re))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))
cost-diff	0	#s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (neg.f64 re))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))
cost-diff	0	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (neg.f64 re))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
cost-diff	0	(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)
cost-diff	0	#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))
cost-diff	0	#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)))
cost-diff	0	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
cost-diff	0	#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
cost-diff	0	#s(approx (exp re) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))
cost-diff	0	(cos.f64 im)
cost-diff	0	(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	500
0	98	500
1	174	498
2	424	496
3	1584	496
4	5216	480
0	8877	473

Stop Event

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

Calls

Call 1

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

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

localize252.0ms (3%)

Memory

20.8MiB live, 369.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.9796954964544395	(.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (neg.f64 re))
accuracy	17.459806248220534	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (neg.f64 re))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
accuracy	23.462278366205563	#s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (neg.f64 re))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))
accuracy	24.261527826628395	#s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (neg.f64 re)))
accuracy	0.01171875	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
accuracy	17.301286254378148	#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)))
accuracy	23.53302705339173	#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	30.144894285428105	#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))
accuracy	0.04296875	(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
accuracy	0.12890625	(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy	13.979112130248472	#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
accuracy	17.170644698859412	#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy	13.979112130248472	#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) #s(literal 1 binary64)))
accuracy	17.561958505046512	#s(approx (exp re) #s(literal 1 binary64))
accuracy	0.0390625	(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))
accuracy	0.0625	(*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re)
accuracy	0.12890625	(fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))
accuracy	6.150440707500026	#s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))

Samples

159.0ms	193×	0	valid
52.0ms	63×	0	exit

Compiler

Compiled 273 to 59 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

ival-mult: 84.0ms (52.8% of total)

const: 34.0ms (21.4% of total)

ival-add: 16.0ms (10.1% of total)

ival-cos: 13.0ms (8.2% of total)

ival-sub: 5.0ms (3.1% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory

3.5MiB live, 46.5MiB allocated

Counts

23 → 97

Calls

Call 1

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

Outputs
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (- (* -1 (* re (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im)))))
(+ (cos im) (* re (- (* re (- (* -1 (* re (+ (cos im) (+ (* -1 (cos im)) (* -1/6 (cos im)))))) (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im)))))
1
(+ 1 (* -1 re))
(+ 1 (* re (- (* 1/2 re) 1)))
(+ 1 (* re (- (* re (+ 1/2 (* -1/6 re))) 1)))
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
re
(* re (+ 1 (* 1/2 re)))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))) (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))))
(- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)
(- (+ (* re (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2))))) 1/2)
1/2
(+ 1/2 (* -1/6 re))
(* 1/2 re)
(* re (+ 1/2 (* -1/6 re)))
(+ 1/2 (* 1/6 re))
(* -1 (* re (+ 1/2 (* (pow im 2) (- (* 1/720 (pow im 2)) 1/24)))))
(/ (cos im) (exp (neg re)))
(exp (neg re))
(* -1/6 (pow re 3))
(* (pow re 3) (- (* 1/2 (/ 1 re)) 1/6))
(* (pow re 3) (- (* 1/2 (/ 1 re)) (+ 1/6 (/ 1 (pow re 2)))))
(* (pow re 3) (- (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 3))) (+ 1/6 (/ 1 (pow re 2)))))
(exp re)
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (cos im) (exp re))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* re (cos im))
(* re (+ (cos im) (/ (cos im) re)))
(* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))))
(* re (+ 1 (+ (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) (+ (/ 1 re) (/ (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) re)))))
(* re (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))
(* re (- (+ (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) (/ (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) re)) (+ 1/2 (* 1/2 (/ 1 re)))))
(* -1/6 re)
(* re (- (* 1/2 (/ 1 re)) 1/6))
(* -1/6 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 re)) 1/6))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(/ (cos im) (exp (* -1 re)))
(exp (* -1 re))
(* -1 (* (pow re 3) (- 1/6 (* 1/2 (/ 1 re)))))
(* -1 (* (pow re 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 re)) re)))))
(* -1 (* (pow re 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 re)) re))) re)))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))
(* -1 (* re (- (* (pow im 2) (+ 1/2 (* (pow im 2) (- (* 1/720 (pow im 2)) 1/24)))) 1)))
(* -1 (* re (- (+ (* -1 (/ (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) re)) (* (pow im 2) (+ 1/2 (* (pow im 2) (- (* 1/720 (pow im 2)) 1/24))))) 1)))
(* -1 (* re (+ 1/2 (+ (* -1 (/ (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2) re)) (* (pow im 2) (- (* 1/720 (pow im 2)) 1/24))))))
(* -1 (* re (- 1/6 (* 1/2 (/ 1 re)))))
(/ 1 (exp (neg re)))
(+ (* -1/2 (/ (pow im 2) (exp (neg re)))) (/ 1 (exp (neg re))))
(+ (* (pow im 2) (- (* 1/24 (/ (pow im 2) (exp (neg re)))) (* 1/2 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re))))
(+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/720 (/ (pow im 2) (exp (neg re)))) (* 1/24 (/ 1 (exp (neg re)))))) (* 1/2 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re))))
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(+ 1 (+ re (* (pow im 2) (- (* -1/2 re) 1/2))))
(+ 1 (+ re (* (pow im 2) (- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (* 1/24 re)))) 1/2))))
(+ 1 (+ re (* (pow im 2) (- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (+ (* 1/24 re) (* (pow im 2) (- (* -1/720 re) 1/720)))))) 1/2))))
(- (* -1/2 re) 1/2)
(- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (* 1/24 re)))) 1/2)
(- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (+ (* 1/24 re) (* (pow im 2) (- (* -1/720 re) 1/720)))))) 1/2)
(* -1/2 re)
(+ (* -1/2 re) (* 1/24 (* (pow im 2) re)))
(+ (* -1/2 re) (* (pow im 2) (+ (* -1/720 (* (pow im 2) re)) (* 1/24 re))))
(* (pow im 6) (- (* -1/720 re) 1/720))
(* (pow im 6) (- (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (* 1/24 (/ 1 (pow im 2))))) 1/720))
(* (pow im 6) (- (+ (* -1/2 (/ re (pow im 4))) (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (* 1/24 (/ 1 (pow im 2)))))) (+ 1/720 (/ 1/2 (pow im 4)))))
(* (pow im 6) (- (+ (* -1/2 (/ re (pow im 4))) (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (+ (* 1/24 (/ 1 (pow im 2))) (+ (/ 1 (pow im 6)) (/ re (pow im 6))))))) (+ 1/720 (/ 1/2 (pow im 4)))))
(* (pow im 4) (- (* -1/720 re) 1/720))
(* (pow im 4) (- (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (* 1/24 (/ 1 (pow im 2))))) 1/720))
(* (pow im 4) (- (+ (* -1/2 (/ re (pow im 4))) (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (* 1/24 (/ 1 (pow im 2)))))) (+ 1/720 (/ 1/2 (pow im 4)))))
(* -1/720 (* (pow im 4) re))
(* (pow im 4) (+ (* -1/720 re) (* 1/24 (/ re (pow im 2)))))
(* (pow im 4) (+ (* -1/2 (/ re (pow im 4))) (+ (* -1/720 re) (* 1/24 (/ re (pow im 2))))))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	re	@	inf	((/ (cos im) (exp (neg re))) (cos im) (exp (neg re)) (+ (* (- (* (+ (* -1/6 re) 1/2) re) 1) re) 1) (/ (cos im) (exp (neg re))) (exp re) (/ (cos im) (exp (neg re))) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (+ (* 1/2 re) 1) re) (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (+ (* -1/6 re) 1/2) (* (+ (* -1/6 re) 1/2) re) (+ (* 1/6 re) 1/2) (cos im) (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)))
3.0ms	re	@	-inf	((/ (cos im) (exp (neg re))) (cos im) (exp (neg re)) (+ (* (- (* (+ (* -1/6 re) 1/2) re) 1) re) 1) (/ (cos im) (exp (neg re))) (exp re) (/ (cos im) (exp (neg re))) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (+ (* 1/2 re) 1) re) (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (+ (* -1/6 re) 1/2) (* (+ (* -1/6 re) 1/2) re) (+ (* 1/6 re) 1/2) (cos im) (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)))
3.0ms	re	@	0	((/ (cos im) (exp (neg re))) (cos im) (exp (neg re)) (+ (* (- (* (+ (* -1/6 re) 1/2) re) 1) re) 1) (/ (cos im) (exp (neg re))) (exp re) (/ (cos im) (exp (neg re))) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (+ (* 1/2 re) 1) re) (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (+ (* -1/6 re) 1/2) (* (+ (* -1/6 re) 1/2) re) (+ (* 1/6 re) 1/2) (cos im) (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)))
2.0ms	im	@	inf	((/ (cos im) (exp (neg re))) (cos im) (exp (neg re)) (+ (* (- (* (+ (* -1/6 re) 1/2) re) 1) re) 1) (/ (cos im) (exp (neg re))) (exp re) (/ (cos im) (exp (neg re))) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (+ (* 1/2 re) 1) re) (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (+ (* -1/6 re) 1/2) (* (+ (* -1/6 re) 1/2) re) (+ (* 1/6 re) 1/2) (cos im) (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)))
2.0ms	im	@	-inf	((/ (cos im) (exp (neg re))) (cos im) (exp (neg re)) (+ (* (- (* (+ (* -1/6 re) 1/2) re) 1) re) 1) (/ (cos im) (exp (neg re))) (exp re) (/ (cos im) (exp (neg re))) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (+ (* 1/2 re) 1) re) (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (+ (* -1/6 re) 1/2) (* (+ (* -1/6 re) 1/2) re) (+ (* 1/6 re) 1/2) (cos im) (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)))

simplify195.0ms (2.3%)

Memory

22.5MiB live, 246.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	299	1376
1	997	1282
2	3785	1266
0	8849	1166

Stop Event

1×	iter limit
1×	node limit

Counts

97 → 96

Calls

Call 1

Inputs
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (- (* -1 (* re (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im)))))
(+ (cos im) (* re (- (* re (- (* -1 (* re (+ (cos im) (+ (* -1 (cos im)) (* -1/6 (cos im)))))) (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im)))))
1
(+ 1 (* -1 re))
(+ 1 (* re (- (* 1/2 re) 1)))
(+ 1 (* re (- (* re (+ 1/2 (* -1/6 re))) 1)))
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
re
(* re (+ 1 (* 1/2 re)))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))) (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))))
(- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)
(- (+ (* re (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2))))) 1/2)
1/2
(+ 1/2 (* -1/6 re))
(* 1/2 re)
(* re (+ 1/2 (* -1/6 re)))
(+ 1/2 (* 1/6 re))
(* -1 (* re (+ 1/2 (* (pow im 2) (- (* 1/720 (pow im 2)) 1/24)))))
(/ (cos im) (exp (neg re)))
(exp (neg re))
(* -1/6 (pow re 3))
(* (pow re 3) (- (* 1/2 (/ 1 re)) 1/6))
(* (pow re 3) (- (* 1/2 (/ 1 re)) (+ 1/6 (/ 1 (pow re 2)))))
(* (pow re 3) (- (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 3))) (+ 1/6 (/ 1 (pow re 2)))))
(exp re)
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (cos im) (exp re))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* re (cos im))
(* re (+ (cos im) (/ (cos im) re)))
(* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))))
(* re (+ 1 (+ (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) (+ (/ 1 re) (/ (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) re)))))
(* re (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))
(* re (- (+ (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) (/ (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) re)) (+ 1/2 (* 1/2 (/ 1 re)))))
(* -1/6 re)
(* re (- (* 1/2 (/ 1 re)) 1/6))
(* -1/6 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 re)) 1/6))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(/ (cos im) (exp (* -1 re)))
(exp (* -1 re))
(* -1 (* (pow re 3) (- 1/6 (* 1/2 (/ 1 re)))))
(* -1 (* (pow re 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 re)) re)))))
(* -1 (* (pow re 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 re)) re))) re)))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))
(* -1 (* re (- (* (pow im 2) (+ 1/2 (* (pow im 2) (- (* 1/720 (pow im 2)) 1/24)))) 1)))
(* -1 (* re (- (+ (* -1 (/ (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) re)) (* (pow im 2) (+ 1/2 (* (pow im 2) (- (* 1/720 (pow im 2)) 1/24))))) 1)))
(* -1 (* re (+ 1/2 (+ (* -1 (/ (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2) re)) (* (pow im 2) (- (* 1/720 (pow im 2)) 1/24))))))
(* -1 (* re (- 1/6 (* 1/2 (/ 1 re)))))
(/ 1 (exp (neg re)))
(+ (* -1/2 (/ (pow im 2) (exp (neg re)))) (/ 1 (exp (neg re))))
(+ (* (pow im 2) (- (* 1/24 (/ (pow im 2) (exp (neg re)))) (* 1/2 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re))))
(+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/720 (/ (pow im 2) (exp (neg re)))) (* 1/24 (/ 1 (exp (neg re)))))) (* 1/2 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re))))
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(+ 1 (+ re (* (pow im 2) (- (* -1/2 re) 1/2))))
(+ 1 (+ re (* (pow im 2) (- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (* 1/24 re)))) 1/2))))
(+ 1 (+ re (* (pow im 2) (- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (+ (* 1/24 re) (* (pow im 2) (- (* -1/720 re) 1/720)))))) 1/2))))
(- (* -1/2 re) 1/2)
(- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (* 1/24 re)))) 1/2)
(- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (+ (* 1/24 re) (* (pow im 2) (- (* -1/720 re) 1/720)))))) 1/2)
(* -1/2 re)
(+ (* -1/2 re) (* 1/24 (* (pow im 2) re)))
(+ (* -1/2 re) (* (pow im 2) (+ (* -1/720 (* (pow im 2) re)) (* 1/24 re))))
(* (pow im 6) (- (* -1/720 re) 1/720))
(* (pow im 6) (- (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (* 1/24 (/ 1 (pow im 2))))) 1/720))
(* (pow im 6) (- (+ (* -1/2 (/ re (pow im 4))) (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (* 1/24 (/ 1 (pow im 2)))))) (+ 1/720 (/ 1/2 (pow im 4)))))
(* (pow im 6) (- (+ (* -1/2 (/ re (pow im 4))) (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (+ (* 1/24 (/ 1 (pow im 2))) (+ (/ 1 (pow im 6)) (/ re (pow im 6))))))) (+ 1/720 (/ 1/2 (pow im 4)))))
(* (pow im 4) (- (* -1/720 re) 1/720))
(* (pow im 4) (- (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (* 1/24 (/ 1 (pow im 2))))) 1/720))
(* (pow im 4) (- (+ (* -1/2 (/ re (pow im 4))) (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (* 1/24 (/ 1 (pow im 2)))))) (+ 1/720 (/ 1/2 (pow im 4)))))
(* -1/720 (* (pow im 4) re))
(* (pow im 4) (+ (* -1/720 re) (* 1/24 (/ re (pow im 2)))))
(* (pow im 4) (+ (* -1/2 (/ re (pow im 4))) (+ (* -1/720 re) (* 1/24 (/ re (pow im 2))))))

Outputs
(cos im)
(cos.f64 im)
(+ (cos im) (* re (cos im)))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(+ (cos im) (* re (- (* -1 (* re (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re (cos.f64 im))
(+ (cos im) (* re (- (* re (- (* -1 (* re (+ (cos im) (+ (* -1 (cos im)) (* -1/6 (cos im)))))) (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im)))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -7/6 binary64) (cos.f64 im) (cos.f64 im)) (neg.f64 re) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))) re (cos.f64 im)) re (cos.f64 im))
1
#s(literal 1 binary64)
(+ 1 (* -1 re))
(-.f64 #s(literal 1 binary64) re)
(+ 1 (* re (- (* 1/2 re) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (- (* re (+ 1/2 (* -1/6 re))) 1)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* 1/2 re))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re (cos.f64 im))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(fma.f64 (fma.f64 (*.f64 (cos.f64 im) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re (cos.f64 im)) re (cos.f64 im))
re
(* re (+ 1 (* 1/2 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im (-.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (*.f64 im im) #s(literal 1 binary64))
(+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))) (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im (-.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (.f64 im im) #s(literal 1 binary64)) re (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im (-.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (.f64 im im) #s(literal 1 binary64)))
(- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)
(fma.f64 (.f64 #s(literal 1/24 binary64) im) im (-.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64)))
(- (+ (* re (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2))))) 1/2)
(.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 #s(literal 1/24 binary64) im) im (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/6 re))
(fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(* re (+ 1/2 (* -1/6 re)))
(*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re)
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* -1 (* re (+ 1/2 (* (pow im 2) (- (* 1/720 (pow im 2)) 1/24)))))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (neg.f64 re))
(/ (cos im) (exp (neg re)))
(/.f64 (cos.f64 im) (exp.f64 (neg.f64 re)))
(exp (neg re))
(exp.f64 (neg.f64 re))
(* -1/6 (pow re 3))
(*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow re 3) (- (* 1/2 (/ 1 re)) 1/6))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))
(* (pow re 3) (- (* 1/2 (/ 1 re)) (+ 1/6 (/ 1 (pow re 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))
(* (pow re 3) (- (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 3))) (+ 1/6 (/ 1 (pow re 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re) #s(literal 1/6 binary64))) (pow.f64 re #s(literal 3 binary64)))
(exp re)
(exp.f64 re)
(* 1/6 (pow re 3))
(*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) re) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) re) #s(literal 1/2 binary64)) re) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))
(* 1/6 (pow re 2))
(.f64 (.f64 re re) #s(literal 1/6 binary64))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) re) re)
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) re) #s(literal 1/6 binary64)) (.f64 re re))
(* (cos im) (exp re))
(*.f64 (exp.f64 re) (cos.f64 im))
(* 1/2 (pow re 2))
(.f64 (.f64 re re) #s(literal 1/2 binary64))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) re) re)
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) re) #s(literal 1/2 binary64)) (.f64 re re))
(* re (cos im))
(*.f64 (cos.f64 im) re)
(* re (+ (cos im) (/ (cos im) re)))
(*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re)
(* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))))
(fma.f64 (.f64 (.f64 im im) re) (fma.f64 (.f64 #s(literal 1/24 binary64) im) im (-.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) re)
(* re (+ 1 (+ (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) (+ (/ 1 re) (/ (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) re)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im (-.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (.f64 im im) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im (-.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (.f64 im im) #s(literal 1 binary64)) re)) re re)
(* re (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))
(.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) re)
(* re (- (+ (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) (/ (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) re)) (+ 1/2 (* 1/2 (/ 1 re)))))
(.f64 (-.f64 (fma.f64 (.f64 im im) (+.f64 (/.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) re) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (/.f64 #s(literal -1/2 binary64) re)) #s(literal 1/2 binary64)) re)
(* -1/6 re)
(*.f64 #s(literal -1/6 binary64) re)
(* re (- (* 1/2 (/ 1 re)) 1/6))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) re)
(* -1/6 (pow re 2))
(.f64 (.f64 re re) #s(literal -1/6 binary64))
(* (pow re 2) (- (* 1/2 (/ 1 re)) 1/6))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) re) re)
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) re)
(/ (cos im) (exp (* -1 re)))
(/.f64 (cos.f64 im) (exp.f64 (neg.f64 re)))
(exp (* -1 re))
(exp.f64 (neg.f64 re))
(* -1 (* (pow re 3) (- 1/6 (* 1/2 (/ 1 re)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))
(* -1 (* (pow re 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 re)) re)))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))
(* -1 (* (pow re 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 re)) re))) re)))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) re)) re) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(*.f64 (pow.f64 (neg.f64 re) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) re) #s(literal -1/2 binary64)) re) #s(literal 1/6 binary64)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(*.f64 (pow.f64 (neg.f64 re) #s(literal 3 binary64)) (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) re) #s(literal 1/2 binary64))) re) #s(literal 1/6 binary64)))
(* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))
(*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re)
(* -1 (* re (- (* (pow im 2) (+ 1/2 (* (pow im 2) (- (* 1/720 (pow im 2)) 1/24)))) 1)))
(.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 1 binary64)) (neg.f64 re))
(* -1 (* re (- (+ (* -1 (/ (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) re)) (* (pow im 2) (+ 1/2 (* (pow im 2) (- (* 1/720 (pow im 2)) 1/24))))) 1)))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 1 binary64)) #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im (-.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (*.f64 im im) #s(literal 1 binary64)) re)) re)
(* -1 (* re (+ 1/2 (+ (* -1 (/ (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2) re)) (* (pow im 2) (- (* 1/720 (pow im 2)) 1/24))))))
(.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) #s(literal -1 binary64) (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im #s(literal -1/2 binary64)) re)) re)
(* -1 (* re (- 1/6 (* 1/2 (/ 1 re)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal -1/6 binary64)) re)
(/ 1 (exp (neg re)))
(exp.f64 re)
(+ (* -1/2 (/ (pow im 2) (exp (neg re)))) (/ 1 (exp (neg re))))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) (exp.f64 re))
(+ (* (pow im 2) (- (* 1/24 (/ (pow im 2) (exp (neg re)))) (* 1/2 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re))))
(fma.f64 (.f64 (exp.f64 re) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 im im) (exp.f64 re))
(+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/720 (/ (pow im 2) (exp (neg re)))) (* 1/24 (/ 1 (exp (neg re)))))) (* 1/2 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (exp.f64 (neg.f64 re))) (.f64 im im) (.f64 #s(literal -1/2 binary64) (exp.f64 re))) (.f64 im im) (exp.f64 re))
(+ 1 (* -1/2 (pow im 2)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) (exp.f64 re))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(fma.f64 (.f64 (exp.f64 re) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 im im) (exp.f64 re))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) (exp.f64 re) (.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (exp.f64 re) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))))
(+ 1 (+ re (* (pow im 2) (- (* -1/2 re) 1/2))))
(+.f64 (fma.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)) re) #s(literal 1 binary64))
(+ 1 (+ re (* (pow im 2) (- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (* 1/24 re)))) 1/2))))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))
(+ 1 (+ re (* (pow im 2) (- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (+ (* 1/24 re) (* (pow im 2) (- (* -1/720 re) 1/720)))))) 1/2))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))
(- (* -1/2 re) 1/2)
(-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))
(- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (* 1/24 re)))) 1/2)
(fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
(- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (+ (* 1/24 re) (* (pow im 2) (- (* -1/720 re) 1/720)))))) 1/2)
(fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
(* -1/2 re)
(*.f64 #s(literal -1/2 binary64) re)
(+ (* -1/2 re) (* 1/24 (* (pow im 2) re)))
(.f64 re (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(+ (* -1/2 re) (* (pow im 2) (+ (* -1/720 (* (pow im 2) re)) (* 1/24 re))))
(fma.f64 (.f64 (.f64 re (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) im) im (.f64 #s(literal -1/2 binary64) re))
(* (pow im 6) (- (* -1/720 re) 1/720))
(.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)))
(* (pow im 6) (- (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (* 1/24 (/ 1 (pow im 2))))) 1/720))
(.f64 (-.f64 (fma.f64 #s(literal -1/720 binary64) re (/.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) (.f64 im im))) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (- (+ (* -1/2 (/ re (pow im 4))) (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (* 1/24 (/ 1 (pow im 2)))))) (+ 1/720 (/ 1/2 (pow im 4)))))
(.f64 (-.f64 (fma.f64 (/.f64 re (pow.f64 im #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/720 binary64) re (/.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) (.f64 im im)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (- (+ (* -1/2 (/ re (pow im 4))) (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (+ (* 1/24 (/ 1 (pow im 2))) (+ (/ 1 (pow im 6)) (/ re (pow im 6))))))) (+ 1/720 (/ 1/2 (pow im 4)))))
(.f64 (-.f64 (fma.f64 (/.f64 re (pow.f64 im #s(literal 4 binary64))) #s(literal -1/2 binary64) (+.f64 (fma.f64 #s(literal -1/720 binary64) re (/.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) (.f64 im im))) (/.f64 (+.f64 #s(literal 1 binary64) re) (pow.f64 im #s(literal 6 binary64))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 4) (- (* -1/720 re) 1/720))
(.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)))
(* (pow im 4) (- (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (* 1/24 (/ 1 (pow im 2))))) 1/720))
(.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -1/720 binary64) re (/.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) (.f64 im im))) #s(literal 1/720 binary64)))
(* (pow im 4) (- (+ (* -1/2 (/ re (pow im 4))) (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (* 1/24 (/ 1 (pow im 2)))))) (+ 1/720 (/ 1/2 (pow im 4)))))
(.f64 (-.f64 (fma.f64 (/.f64 re (pow.f64 im #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/720 binary64) re (/.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) (.f64 im im)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64))) (pow.f64 im #s(literal 4 binary64)))
(* -1/720 (* (pow im 4) re))
(.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) re) #s(literal -1/720 binary64))
(* (pow im 4) (+ (* -1/720 re) (* 1/24 (/ re (pow im 2)))))
(.f64 (fma.f64 (/.f64 re (.f64 im im)) #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) re)) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (+ (* -1/2 (/ re (pow im 4))) (+ (* -1/720 re) (* 1/24 (/ re (pow im 2))))))
(.f64 (fma.f64 (/.f64 re (pow.f64 im #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 re (.f64 im im)) #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) re))) (pow.f64 im #s(literal 4 binary64)))

rewrite265.0ms (3.1%)

Memory

-31.9MiB live, 309.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	423
0	98	423
1	394	421
2	3161	421
0	8416	406

Stop Event

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

Counts

23 → 201

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (neg.f64 (cos.f64 im))) (neg.f64 (neg.f64 #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))))
(/.f64 (neg.f64 (cos.f64 im)) (neg.f64 #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))))
(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (cos.f64 im)) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))))
(neg.f64 (/.f64 (cos.f64 im) (neg.f64 #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))))
(fma.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64) (*.f64 (cos.f64 im) #s(literal 1 binary64)))
(fma.f64 (sin.f64 im) #s(literal 0 binary64) (*.f64 (cos.f64 im) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 #s(literal 0 binary64) (sin.f64 im)))
(sin.f64 (+.f64 (neg.f64 (neg.f64 im)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 im))))
(cos.f64 (neg.f64 (neg.f64 im)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(+.f64 (.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64)) (.f64 (cos.f64 im) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(literal 0 binary64) (sin.f64 im)))
(+.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 (cos.f64 im) #s(literal 1 binary64)))
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eval55.0ms (0.6%)

Memory: -22.8MiB live, 135.2MiB allocated
Compiler: Compiled 12 589 to 1 501 computations (88.1% saved)

prune32.0ms (0.4%)

Memory

33.8MiB live, 126.9MiB allocated

Pruning

33 alts after pruning (21 fresh and 12 done)

	Pruned	Kept	Total
New	284	8	292
Fresh	1	13	14
Picked	0	5	5
Done	0	7	7
Total	285	33	318

Accuracy

100.0%

Counts

318 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (cos.f64 im) (exp.f64 (neg.f64 re)))
✓	66.1%	(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
	49.1%	(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
	40.6%	(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	29.4%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
✓	65.0%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
	10.7%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
	60.0%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
	49.4%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
	13.0%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
✓	15.0%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	14.9%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	70.3%	#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re))
✓	38.2%	#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
	38.2%	#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
	38.0%	#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
	35.6%	#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
	37.9%	#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))))
	27.8%	#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
✓	27.5%	#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) #s(literal 1 binary64)))
✓	48.7%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
	32.7%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 re im im) #s(literal -1/720 binary64)) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (.f64 im im) (+.f64 #s(literal 1 binary64) re))))
✓	32.8%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (neg.f64 re))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
	32.8%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (fma.f64 (.f64 (.f64 re (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) im) im (.f64 #s(literal -1/2 binary64) re)))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
	31.3%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (.f64 re (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
	31.4%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (.f64 #s(literal -1/2 binary64) re))) (.f64 im im) (+.f64 #s(literal 1 binary64) re))))
	18.3%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64))))))
	9.8%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 1 binary64)) (neg.f64 re)))))
	30.8%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
✓	28.8%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	24.3%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im))))
	11.2%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))

Compiler

Compiled 2 120 to 876 computations (58.7% saved)

regimes79.0ms (0.9%)

Memory

-36.9MiB live, 110.9MiB allocated

Counts

43 → 1

Calls

Call 1

Inputs
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (.f64 #s(literal -1/2 binary64) re))) (.f64 im im) (+.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (.f64 re (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 1 binary64)) (neg.f64 re)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 1 binary64)) (neg.f64 re)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (neg.f64 re))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (fma.f64 (.f64 (.f64 re (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) im) im (.f64 #s(literal -1/2 binary64) re)))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 re im im) #s(literal -1/720 binary64)) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64))))))
(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 (exp.f64 re) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
(/.f64 (cos.f64 im) (exp.f64 (neg.f64 re)))

Outputs
(/.f64 (cos.f64 im) (exp.f64 (neg.f64 re)))

Calls

5 calls:

14.0ms	im
12.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
11.0ms	re
11.0ms	(cos.f64 im)
8.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
100.0%	1	`(cos.f64 im)`
100.0%	1	`(exp.f64 re)`
100.0%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
100.0%	1	`re`
100.0%	1	`im`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes86.0ms (1%)

Memory

15.1MiB live, 109.6MiB allocated

Counts

42 → 1

Calls

Call 1

Inputs
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (.f64 #s(literal -1/2 binary64) re))) (.f64 im im) (+.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (.f64 re (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 1 binary64)) (neg.f64 re)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 1 binary64)) (neg.f64 re)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (neg.f64 re))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (fma.f64 (.f64 (.f64 re (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) im) im (.f64 #s(literal -1/2 binary64) re)))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 re im im) #s(literal -1/720 binary64)) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64))))))
(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 (exp.f64 re) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))

Outputs
(*.f64 (exp.f64 re) (cos.f64 im))

Calls

5 calls:

29.0ms	(cos.f64 im)
25.0ms	re
12.0ms	im
9.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
8.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
100.0%	1	`(cos.f64 im)`
100.0%	1	`(exp.f64 re)`
100.0%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
100.0%	1	`re`
100.0%	1	`im`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes87.0ms (1%)

Memory

4.0MiB live, 90.5MiB allocated

Counts

40 → 5

Calls

Call 1

Inputs
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (.f64 #s(literal -1/2 binary64) re))) (.f64 im im) (+.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (.f64 re (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 1 binary64)) (neg.f64 re)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 1 binary64)) (neg.f64 re)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (neg.f64 re))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (fma.f64 (.f64 (.f64 re (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) im) im (.f64 #s(literal -1/2 binary64) re)))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 re im im) #s(literal -1/720 binary64)) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64))))))
(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))

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

Calls

5 calls:

30.0ms	re
26.0ms	(cos.f64 im)
11.0ms	im
9.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
8.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
83.9%	2	`(cos.f64 im)`
94.3%	3	`(exp.f64 re)`
99.5%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`
97.4%	4	`re`
84.7%	3	`im`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes11.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated

Counts

39 → 5

Calls

Call 1

Inputs
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (.f64 #s(literal -1/2 binary64) re))) (.f64 im im) (+.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (.f64 re (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 1 binary64)) (neg.f64 re)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 1 binary64)) (neg.f64 re)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (neg.f64 re))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (fma.f64 (.f64 (.f64 re (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) im) im (.f64 #s(literal -1/2 binary64) re)))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 re im im) #s(literal -1/720 binary64)) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64))))))
(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))

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

Calls

1 calls:

9.0ms

(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
99.5%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes11.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated

Counts

37 → 5

Calls

Call 1

Inputs
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (.f64 #s(literal -1/2 binary64) re))) (.f64 im im) (+.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (.f64 re (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 1 binary64)) (neg.f64 re)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 1 binary64)) (neg.f64 re)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (neg.f64 re))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (fma.f64 (.f64 (.f64 re (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) im) im (.f64 #s(literal -1/2 binary64) re)))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 re im im) #s(literal -1/720 binary64)) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64))))))
(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))

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

Calls

1 calls:

8.0ms

(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
99.3%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes42.0ms (0.5%)

Memory

-9.3MiB live, 33.9MiB allocated

Counts

35 → 5

Calls

Call 1

Inputs
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (.f64 #s(literal -1/2 binary64) re))) (.f64 im im) (+.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (.f64 re (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 1 binary64)) (neg.f64 re)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 1 binary64)) (neg.f64 re)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (neg.f64 re))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (fma.f64 (.f64 (.f64 re (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) im) im (.f64 #s(literal -1/2 binary64) re)))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 re im im) #s(literal -1/720 binary64)) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64))))))
(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))

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

Calls

2 calls:

30.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
10.0ms	re

Results

Accuracy	Segments	Branch
93.9%	3	`re`
99.0%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes10.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB allocated

Counts

33 → 5

Calls

Call 1

Inputs
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (.f64 #s(literal -1/2 binary64) re))) (.f64 im im) (+.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (.f64 re (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 1 binary64)) (neg.f64 re)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 1 binary64)) (neg.f64 re)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (neg.f64 re))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (fma.f64 (.f64 (.f64 re (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) im) im (.f64 #s(literal -1/2 binary64) re)))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 re im im) #s(literal -1/720 binary64)) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64))))))
(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))

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

Calls

1 calls:

8.0ms

(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
98.2%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes25.0ms (0.3%)

Memory

-44.0MiB live, 13.2MiB allocated

Counts

32 → 5

Calls

Call 1

Inputs
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (.f64 #s(literal -1/2 binary64) re))) (.f64 im im) (+.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (.f64 re (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 1 binary64)) (neg.f64 re)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 1 binary64)) (neg.f64 re)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (neg.f64 re))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (fma.f64 (.f64 (.f64 re (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) im) im (.f64 #s(literal -1/2 binary64) re)))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 re im im) #s(literal -1/720 binary64)) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64))))))

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

Calls

1 calls:

8.0ms

(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
98.2%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes9.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

30 → 5

Calls

Call 1

Inputs
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (.f64 #s(literal -1/2 binary64) re))) (.f64 im im) (+.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (.f64 re (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 1 binary64)) (neg.f64 re)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 1 binary64)) (neg.f64 re)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (neg.f64 re))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (fma.f64 (.f64 (.f64 re (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) im) im (.f64 #s(literal -1/2 binary64) re)))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 re im im) #s(literal -1/720 binary64)) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re))

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

Calls

1 calls:

7.0ms

(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
97.9%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes64.0ms (0.8%)

Memory

20.5MiB live, 107.0MiB allocated

Counts

29 → 3

Calls

Call 1

Inputs
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (.f64 #s(literal -1/2 binary64) re))) (.f64 im im) (+.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (.f64 re (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 1 binary64)) (neg.f64 re)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 1 binary64)) (neg.f64 re)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (neg.f64 re))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (fma.f64 (.f64 (.f64 re (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) im) im (.f64 #s(literal -1/2 binary64) re)))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 re im im) #s(literal -1/720 binary64)) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))

Outputs

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

#s(approx (* (exp re) (cos im)) (cos.f64 im))

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

Calls

5 calls:

28.0ms	(cos.f64 im)
10.0ms	(exp.f64 re)
8.0ms	im
8.0ms	re
7.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
56.8%	2	`im`
56.6%	2	`(cos.f64 im)`
76.6%	3	`re`
76.6%	3	`(exp.f64 re)`
79.6%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes54.0ms (0.6%)

Memory

-46.8MiB live, 64.9MiB allocated

Counts

28 → 3

Calls

Call 1

Inputs
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (.f64 #s(literal -1/2 binary64) re))) (.f64 im im) (+.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (.f64 re (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 1 binary64)) (neg.f64 re)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 1 binary64)) (neg.f64 re)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (neg.f64 re))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (fma.f64 (.f64 (.f64 re (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) im) im (.f64 #s(literal -1/2 binary64) re)))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 re im im) #s(literal -1/720 binary64)) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))

Outputs

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

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

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

Calls

3 calls:

34.0ms	re
6.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
6.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
59.2%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`
55.7%	3	`(exp.f64 re)`
57.5%	4	`re`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes8.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

26 → 3

Calls

Call 1

Inputs
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (.f64 #s(literal -1/2 binary64) re))) (.f64 im im) (+.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (.f64 re (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 1 binary64)) (neg.f64 re)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 1 binary64)) (neg.f64 re)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (neg.f64 re))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (fma.f64 (.f64 (.f64 re (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) im) im (.f64 #s(literal -1/2 binary64) re)))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))

Outputs

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

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

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

Calls

1 calls:

6.0ms

(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
59.2%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes7.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

22 → 3

Calls

Call 1

Inputs
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (.f64 #s(literal -1/2 binary64) re))) (.f64 im im) (+.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (.f64 re (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))

Outputs

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

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

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

Calls

1 calls:

5.0ms

(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
59.2%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes44.0ms (0.5%)

Memory

-4.0MiB live, 88.2MiB allocated

Counts

21 → 3

Calls

Call 1

Inputs
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (.f64 #s(literal -1/2 binary64) re))) (.f64 im im) (+.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) #s(approx (* (+ (* (- (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (neg re)) (.f64 re (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))))

Outputs

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

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

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

Calls

5 calls:

17.0ms	(cos.f64 im)
8.0ms	re
7.0ms	im
5.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
4.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
48.1%	3	`(exp.f64 re)`
48.1%	3	`re`
45.6%	2	`(cos.f64 im)`
40.3%	1	`im`
51.6%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes6.0ms (0.1%)

Memory

16.9MiB live, 16.9MiB allocated

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
51.6%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes4.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
51.6%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes7.0ms (0.1%)

Memory

-32.7MiB live, 11.2MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

6.0ms

(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
49.7%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes3.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
47.9%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes3.0ms (0%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
47.7%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes2.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
47.6%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes26.0ms (0.3%)

Memory

-27.8MiB live, 23.5MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

20.0ms	(cos.f64 im)
2.0ms	re
2.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
2.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
39.3%	2	`(cos.f64 im)`
41.5%	2	`(exp.f64 re)`
41.5%	2	`re`
45.2%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes9.0ms (0.1%)

Memory

25.1MiB live, 25.1MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

2.0ms	im
2.0ms	(cos.f64 im)
2.0ms	re
2.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
31.5%	2	`(cos.f64 im)`
36.5%	3	`(exp.f64 re)`
36.5%	3	`re`
28.8%	1	`im`
37.3%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes38.0ms (0.4%)

Memory

-28.2MiB live, 16.7MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))

Outputs
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))

Calls

5 calls:

1.0ms	im
1.0ms	re
1.0ms	(cos.f64 im)
1.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
27.8%	1	`im`
27.8%	1	`(cos.f64 im)`
27.8%	1	`(exp.f64 re)`
27.8%	1	`re`
27.8%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes5.0ms (0.1%)

Memory

17.4MiB live, 17.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) #s(literal 1 binary64)))

Outputs
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) #s(literal 1 binary64)))

Calls

5 calls:

1.0ms	re
1.0ms	im
1.0ms	(cos.f64 im)
1.0ms	(exp.f64 re)
1.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
27.5%	1	`(cos.f64 im)`
27.5%	1	`im`
27.5%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
27.5%	1	`re`
27.5%	1	`(exp.f64 re)`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.999999918194367	1.0
0.0ms	0.0	0.01585207796449412
0.0ms	-0.029050471327626386	0.0
0.0ms	-inf	-0.9995792747798566

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.999999918194367	1.0
0.0ms	0.0	0.01585207796449412
0.0ms	-0.029050471327626386	0.0
0.0ms	-inf	-0.9995792747798566

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.999999918194367	1.0
0.0ms	0.0	0.01585207796449412
0.0ms	-0.029050471327626386	0.0
0.0ms	-inf	-0.9995792747798566

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.999999918194367	1.0
0.0ms	0.0	0.01585207796449412
0.0ms	-0.029050471327626386	0.0
0.0ms	-inf	-0.9995792747798566

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.999999918194367	1.0
0.0ms	0.0	0.01585207796449412
0.0ms	-0.029050471327626386	0.0
0.0ms	-inf	-0.9995792747798566

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.999999918194367	1.0
0.0ms	0.0	0.01585207796449412
0.0ms	-0.029050471327626386	0.0
0.0ms	-inf	-0.9995792747798566

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9998193865723513	0.99997683441022
0.0ms	0.0	0.01585207796449412
0.0ms	-0.029050471327626386	0.0
0.0ms	-inf	-0.9995792747798566

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0435725312445399	1.6480047831676448
0.0ms	0.99997683441022	1.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.01585207796449412
0.0ms	-inf	-0.9995792747798566

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.01585207796449412
0.0ms	-inf	-0.9995792747798566

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.01585207796449412
0.0ms	-0.9534909964090064	-0.9497753871725131

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.01585207796449412
0.0ms	-inf	-0.9995792747798566

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.01585207796449412
0.0ms	-inf	-0.9995792747798566

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.01585207796449412
0.0ms	-inf	-0.9995792747798566

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch4.0ms (0%)

Memory

-42.4MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.01585207796449412

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.01585207796449412

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.01585207796449412

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.01585207796449412

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.01585207796449412

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.01585207796449412

Compiler

Compiled 8 to 10 computations (-25% saved)

simplify73.0ms (0.9%)

Memory

6.7MiB live, 103.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	185	1654
1	266	1572
2	488	1551
3	1635	1551
4	6722	1551

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (cos.f64 im) (exp.f64 (neg.f64 re)))
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (/.f64 (cos.f64 im) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007198517901355/9007199254740992 binary64)) (/.f64 (cos.f64 im) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))) #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007198517901355/9007199254740992 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007198517901355/9007199254740992 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (/.f64 (cos.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007198517901355/9007199254740992 binary64)) (/.f64 (cos.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 re im im) #s(literal -1/720 binary64)) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (.f64 im im) (+.f64 #s(literal 1 binary64) re)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (/.f64 (cos.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007198517901355/9007199254740992 binary64)) (/.f64 (cos.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 re im im) #s(literal -1/720 binary64)) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (.f64 im im) (+.f64 #s(literal 1 binary64) re)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007198517901355/9007199254740992 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 re im im) #s(literal -1/720 binary64)) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (.f64 im im) (+.f64 #s(literal 1 binary64) re)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx ( (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503149267407759/4503599627370496 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re))))))
(if (<=.f64 (exp.f64 re) #s(literal 4503495298828995/4503599627370496 binary64)) (/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))) (if (<=.f64 (exp.f64 re) #s(literal 3/2 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 re im im) #s(literal -1/720 binary64)) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (.f64 im im) (+.f64 #s(literal 1 binary64) re)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))) #s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 1 binary64)) (neg.f64 re))))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))) #s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -4278419646001971/4503599627370496 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))) #s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) #s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) #s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) #s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) #s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) #s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) #s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) #s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) #s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) #s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (exp re) #s(literal 1 binary64)))

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

soundness2.1s (24.5%)

Memory

8.2MiB live, 1 308.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	184	585
1	624	538
2	2311	516
3	7386	513
0	8037	457
0	5	9
0	8	9
1	19	9
2	88	9
3	649	9
0	8589	9
0	299	1376
1	997	1282
2	3785	1266
0	8849	1166
0	64	175
1	237	164
2	882	160
3	3902	156
0	8046	136
0	234	1040
1	780	958
2	2950	899
0	8546	815

Stop Event

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

Compiler

Compiled 2 372 to 957 computations (59.7% saved)

preprocess162.0ms (1.9%)

Memory: 8.2MiB live, 151.7MiB allocated
Remove: (abs im)
Compiler: Compiled 3 170 to 432 computations (86.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated