Metrics for math.exp on complex, real part

start0.0ms (0%)

Memory: 0.0MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample755.0ms (11.9%)

Memory

-7.5MiB live, 1 102.4MiB allocated

Samples

527.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 347.0ms

ival-cos: 192.0ms (55.3% of total)

ival-exp: 83.0ms (23.9% of total)

ival-mult: 62.0ms (17.8% of total)

ival-true: 7.0ms (2% of total)

ival-assert: 4.0ms (1.2% of total)

Bogosity

explain59.0ms (0.9%)

Memory

6.0MiB live, 82.9MiB 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

32.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-cos: 12.0ms (60% of total)

ival-exp: 4.0ms (20% of total)

ival-mult: 3.0ms (15% of total)

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

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

preprocess131.0ms (2.1%)

Memory

-2.1MiB live, 149.2MiB 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

0.8MiB live, 0.8MiB 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)

simplify117.0ms (1.9%)

Memory

16.6MiB live, 135.3MiB 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

localize20.0ms (0.3%)

Memory

21.9MiB live, 21.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 re)
accuracy	0.0	(cos.f64 im)
accuracy	0.00390625	(*.f64 (exp.f64 re) (cos.f64 im))

Samples

16.0ms

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: 5.0ms (54% of total)

ival-exp: 2.0ms (21.6% of total)

ival-mult: 1.0ms (10.8% of total)

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

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

series17.0ms (0.3%)

Memory

-34.6MiB live, 3.9MiB 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
14.0ms	re	@	-inf	((* (exp re) (cos im)) (exp re) (cos im))
1.0ms	re	@	inf	((* (exp re) (cos im)) (exp re) (cos im))
1.0ms	im	@	0	((* (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))

simplify158.0ms (2.5%)

Memory

40.8MiB live, 191.9MiB 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))

rewrite235.0ms (3.7%)

Memory

-14.4MiB live, 192.6MiB 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))

eval64.0ms (1%)

Memory: 8.8MiB live, 90.7MiB allocated
Compiler: Compiled 6 367 to 865 computations (86.4% saved)

prune9.0ms (0.1%)

Memory

-18.9MiB live, 19.2MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	300	7	307
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	300	8	308

Accuracy

100.0%

Counts

308 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.0%	(*.f64 (+.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (+.f64 (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (sinh.f64 re))) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	65.1%	(.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))))
▶	61.7%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	66.5%	(*.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))
▶	62.0%	(*.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))
▶	48.0%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
▶	47.1%	#s(approx (* (exp re) (cos im)) (cos.f64 im))

Compiler

Compiled 189 to 151 computations (20.1% saved)

simplify242.0ms (3.8%)

Memory

13.2MiB live, 94.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
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))) (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	(+.f64 #s(literal 1 binary64) re)
cost-diff	0	#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
cost-diff	0	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
cost-diff	0	(cos.f64 im)
cost-diff	0	#s(approx (* (exp re) (cos im)) (cos.f64 im))
cost-diff	0	(*.f64 (+.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (+.f64 (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (sinh.f64 re))) (cos.f64 im))
cost-diff	1	(/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))
cost-diff	3	(+.f64 (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (sinh.f64 re))
cost-diff	7	(+.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (+.f64 (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (sinh.f64 re)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	170
0	54	155
1	93	144
2	204	144
3	728	143
4	4892	143
0	9057	143

Stop Event

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

Calls

Call 1

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

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

localize128.0ms (2%)

Memory

-21.1MiB live, 138.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
accuracy	0.0	(cos.f64 im)
accuracy	0.00390625	(*.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))
accuracy	7.367632245504687	#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy	0.0	(exp.f64 re)
accuracy	0.00390625	(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
accuracy	0.00390625	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
accuracy	22.392110153111705	#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	0.0	(+.f64 #s(literal 1 binary64) re)
accuracy	0.0	(cos.f64 im)
accuracy	0.00390625	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
accuracy	16.414736335309502	#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
accuracy	0.0	(cos.f64 im)
accuracy	17.150529384597277	#s(approx (* (exp re) (cos im)) (cos.f64 im))
accuracy	0.0	(cos.f64 im)
accuracy	0.00390625	(*.f64 (+.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (+.f64 (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (sinh.f64 re))) (cos.f64 im))
accuracy	0.00390625	(sinh.f64 re)
accuracy	0.01171875	(+.f64 (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (sinh.f64 re))

Samples

60.0ms	187×	0	valid
17.0ms	69×	1	exit

Compiler

Compiled 135 to 27 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 27.0ms (47.5% of total)

ival-add: 11.0ms (19.3% of total)

ival-cos: 5.0ms (8.8% of total)

adjust: 4.0ms (7% of total)

ival-exp: 4.0ms (7% of total)

ival-div: 3.0ms (5.3% of total)

exact: 1.0ms (1.8% of total)

ival-sinh: 1.0ms (1.8% of total)

ival-neg: 1.0ms (1.8% of total)

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

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

series18.0ms (0.3%)

Memory

3.7MiB live, 40.4MiB allocated

Counts

18 → 48

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	im	@	inf	((+ (/ (exp re) 2) (+ (/ (exp (neg re)) 2) (sinh re))) (+ (/ (exp (neg re)) 2) (sinh re)) (/ (exp (neg re)) 2) (* (+ (/ (exp re) 2) (+ (/ (exp (neg re)) 2) (sinh re))) (cos im)) (* (exp re) (cos im)) (cos im) (* (exp re) (cos im)) (exp re) (+ 1 re) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (sinh re))
4.0ms	re	@	-inf	((+ (/ (exp re) 2) (+ (/ (exp (neg re)) 2) (sinh re))) (+ (/ (exp (neg re)) 2) (sinh re)) (/ (exp (neg re)) 2) (* (+ (/ (exp re) 2) (+ (/ (exp (neg re)) 2) (sinh re))) (cos im)) (* (exp re) (cos im)) (cos im) (* (exp re) (cos im)) (exp re) (+ 1 re) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (sinh re))
3.0ms	re	@	inf	((+ (/ (exp re) 2) (+ (/ (exp (neg re)) 2) (sinh re))) (+ (/ (exp (neg re)) 2) (sinh re)) (/ (exp (neg re)) 2) (* (+ (/ (exp re) 2) (+ (/ (exp (neg re)) 2) (sinh re))) (cos im)) (* (exp re) (cos im)) (cos im) (* (exp re) (cos im)) (exp re) (+ 1 re) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (sinh re))
2.0ms	re	@	0	((+ (/ (exp re) 2) (+ (/ (exp (neg re)) 2) (sinh re))) (+ (/ (exp (neg re)) 2) (sinh re)) (/ (exp (neg re)) 2) (* (+ (/ (exp re) 2) (+ (/ (exp (neg re)) 2) (sinh re))) (cos im)) (* (exp re) (cos im)) (cos im) (* (exp re) (cos im)) (exp re) (+ 1 re) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (sinh re))
2.0ms	im	@	-inf	((+ (/ (exp re) 2) (+ (/ (exp (neg re)) 2) (sinh re))) (+ (/ (exp (neg re)) 2) (sinh re)) (/ (exp (neg re)) 2) (* (+ (/ (exp re) 2) (+ (/ (exp (neg re)) 2) (sinh re))) (cos im)) (* (exp re) (cos im)) (cos im) (* (exp re) (cos im)) (exp re) (+ 1 re) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (sinh re))

simplify255.0ms (4%)

Memory

18.9MiB live, 223.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	642
1	592	555
2	2372	532
0	8384	485

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

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

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

rewrite280.0ms (4.4%)

Memory

-26.4MiB live, 253.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	135
0	54	124
1	168	113
2	1241	113
0	8088	113

Stop Event

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

Counts

18 → 604

Calls

Call 1

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

Outputs
(pow.f64 (exp.f64 #s(literal 1 binary64)) re)
(pow.f64 (exp.f64 re) #s(literal 1 binary64))
(/.f64 (+.f64 (+.f64 (neg.f64 (exp.f64 re)) (/.f64 #s(literal -1 binary64) (exp.f64 re))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.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 (+.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 re) (exp.f64 (neg.f64 re))) (neg.f64 (neg.f64 (exp.f64 re)))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 re)) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) (neg.f64 (neg.f64 (exp.f64 re)))) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 re) (exp.f64 (neg.f64 re))) (exp.f64 re)) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 re)) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) (exp.f64 re)) #s(literal 2 binary64))
(/.f64 (+.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))) (+.f64 (neg.f64 (exp.f64 re)) (/.f64 #s(literal -1 binary64) (exp.f64 re)))) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))
(/.f64 (+.f64 (neg.f64 (neg.f64 (exp.f64 re))) (fma.f64 #s(literal 2 binary64) (sinh.f64 re) (exp.f64 (neg.f64 re)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 re) (fma.f64 #s(literal 2 binary64) (sinh.f64 re) (exp.f64 (neg.f64 re)))) #s(literal 2 binary64))
(/.f64 (+.f64 (neg.f64 (neg.f64 (exp.f64 re))) (+.f64 (exp.f64 (neg.f64 re)) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 re) (+.f64 (exp.f64 (neg.f64 re)) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (sinh.f64 re) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 re) (exp.f64 (neg.f64 re))) (exp.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 (neg.f64 (neg.f64 (*.f64 (exp.f64 re) (-.f64 (sinh.f64 re) (sinh.f64 re))))) (neg.f64 (neg.f64 (-.f64 (sinh.f64 re) (sinh.f64 re)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (sinh.f64 re) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (sinh.f64 re) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 re) (exp.f64 (neg.f64 re))) (exp.f64 re)) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 (sinh.f64 re) #s(literal 2 binary64))) #s(literal -2 binary64) (.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (sinh.f64 re)) (neg.f64 (exp.f64 re))))) (neg.f64 (.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (sinh.f64 re)) #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 (sinh.f64 re) #s(literal 2 binary64))) #s(literal 2 binary64) (.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (sinh.f64 re)) (exp.f64 re)))) (neg.f64 (.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (sinh.f64 re)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 re) #s(literal -3 binary64)) #s(literal 8 binary64))) #s(literal -2 binary64) (.f64 (fma.f64 (sinh.f64 re) (-.f64 (sinh.f64 re) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64))) (neg.f64 (exp.f64 re))))) (neg.f64 (.f64 (fma.f64 (sinh.f64 re) (-.f64 (sinh.f64 re) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64))) #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 re) #s(literal -3 binary64)) #s(literal 8 binary64))) #s(literal 2 binary64) (.f64 (fma.f64 (sinh.f64 re) (-.f64 (sinh.f64 re) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64))) (exp.f64 re)))) (neg.f64 (.f64 (fma.f64 (sinh.f64 re) (-.f64 (sinh.f64 re) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (exp.f64 re)) (-.f64 (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (sinh.f64 re)) (.f64 #s(literal -2 binary64) (-.f64 (/.f64 (pow.f64 (exp.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 (sinh.f64 re) #s(literal 2 binary64)))))) (neg.f64 (.f64 #s(literal -2 binary64) (-.f64 (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (sinh.f64 re)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (exp.f64 re)) (fma.f64 (sinh.f64 re) (-.f64 (sinh.f64 re) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64))) (.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 re) #s(literal -3 binary64)) #s(literal 8 binary64)))))) (neg.f64 (.f64 #s(literal -2 binary64) (fma.f64 (sinh.f64 re) (-.f64 (sinh.f64 re) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (exp.f64 re) (-.f64 (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (sinh.f64 re)) (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (exp.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 (sinh.f64 re) #s(literal 2 binary64)))))) (neg.f64 (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (sinh.f64 re)))))
(/.f64 (neg.f64 (fma.f64 (exp.f64 re) (fma.f64 (sinh.f64 re) (-.f64 (sinh.f64 re) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 re) #s(literal -3 binary64)) #s(literal 8 binary64)))))) (neg.f64 (.f64 #s(literal 2 binary64) (fma.f64 (sinh.f64 re) (-.f64 (sinh.f64 re) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (sinh.f64 re) (sinh.f64 re))) (.f64 (-.f64 (sinh.f64 re) (sinh.f64 re)) (pow.f64 (+.f64 (sinh.f64 re) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (-.f64 (sinh.f64 re) (sinh.f64 re)) (-.f64 (sinh.f64 re) (sinh.f64 re))))
(/.f64 (-.f64 (.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 re) #s(literal 2 binary64)) (pow.f64 (exp.f64 re) #s(literal -2 binary64))) #s(literal 4 binary64)) #s(literal 2 binary64)) (.f64 (sinh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 re))))) (.f64 (sinh.f64 re) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64)) (pow.f64 (exp.f64 re) #s(literal -3 binary64))) #s(literal 8 binary64)) #s(literal 2 binary64)) (.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (exp.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64)) (.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 re))))) (.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (exp.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64)) (.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))))) #s(literal 2 binary64)))
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(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)))))
(+.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) #s(literal -1 binary64)))
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 re re)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 re re) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (-.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 re re) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))) (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 re re) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 re re) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))) (fma.f64 #s(literal 1/4 binary64) (.f64 re re) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 re re))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (*.f64 #s(literal 1/2 binary64) re)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 re re) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (*.f64 #s(literal 1/2 binary64) re))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 re re) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (-.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) re))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 re) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (.f64 #s(literal 1/2 binary64) re)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (*.f64 #s(literal 1/2 binary64) re)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (.f64 #s(literal 1/2 binary64) re)))) (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (*.f64 #s(literal 1/2 binary64) re)))))
(+.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 re re) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 re re) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
(+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 re re) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 re re) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (neg.f64 (exp.f64 re))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 re))))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (neg.f64 (exp.f64 re))) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 re)))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (neg.f64 (exp.f64 re))) (.f64 (exp.f64 re) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (exp.f64 re) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 (neg.f64 (exp.f64 re))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 re)))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 re)) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 re))))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 re)) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 re)))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 re)) (.f64 (exp.f64 re) #s(literal 2 binary64))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (.f64 (exp.f64 re) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 re)) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 re)))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 re) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 re))))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 re) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 re)))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 re) (.f64 (exp.f64 re) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (exp.f64 re) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (exp.f64 re) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 re)))) #s(literal 4 binary64))
(/.f64 (-.f64 (neg.f64 (neg.f64 (exp.f64 re))) (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 re)))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 re) (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 re)))) #s(literal 2 binary64))
(/.f64 (-.f64 (neg.f64 (exp.f64 re)) (/.f64 #s(literal -1 binary64) (exp.f64 re))) #s(literal -2 binary64))
(/.f64 (-.f64 (neg.f64 (neg.f64 (exp.f64 re))) (exp.f64 (neg.f64 re))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64))
(sinh.f64 re)
(-.f64 (/.f64 (-.f64 (exp.f64 re) (cosh.f64 re)) #s(literal 2 binary64)) (/.f64 (sinh.f64 (neg.f64 re)) #s(literal 2 binary64)))
(-.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))
(+.f64 (/.f64 (-.f64 (exp.f64 re) (cosh.f64 re)) #s(literal 2 binary64)) (/.f64 (sinh.f64 re) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 re) #s(literal 2 binary64)) (/.f64 (-.f64 (sinh.f64 re) (exp.f64 (neg.f64 re))) #s(literal 2 binary64)))

eval62.0ms (1%)

Memory: 2.6MiB live, 119.0MiB allocated
Compiler: Compiled 14 136 to 2 025 computations (85.7% saved)

prune18.0ms (0.3%)

Memory

2.4MiB live, 39.7MiB allocated

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	507	9	516
Fresh	1	1	2
Picked	2	3	5
Done	0	1	1
Total	510	14	524

Accuracy

100.0%

Counts

524 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.9%	(*.f64 (+.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (+.f64 #s(approx (/ (exp (neg re)) 2) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64))) (sinh.f64 re))) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	65.1%	(.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))))
✓	61.7%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	25.2%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
	41.9%	(.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 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
	36.6%	(.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))))
✓	48.0%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
▶	32.3%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) 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))))
	27.3%	(.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))))
▶	27.5%	#s(approx (* (exp re) (cos im)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)))
✓	47.1%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
▶	30.5%	#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))))
▶	25.3%	#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 414 to 308 computations (25.6% saved)

simplify110.0ms (1.7%)

Memory

19.9MiB live, 95.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	291
0	63	283
1	104	283
2	224	283
3	596	279
4	2040	279
0	8484	279

Stop Event

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

Calls

Call 1

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

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

localize195.0ms (3.1%)

Memory

-2.7MiB live, 178.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)
accuracy	16.71053066552266	(PI.f64)
accuracy	17.150529384597277	#s(approx (* (exp re) (cos im)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)))
accuracy	19.42497079133557	(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im))
accuracy	0.0390625	(fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
accuracy	0.32923137446467615	(.f64 #s(literal 1/24 binary64) (.f64 im im))
accuracy	16.414736335309502	#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
accuracy	22.37148937250592	#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)))
accuracy	0.0390625	(fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
accuracy	0.32923137446467615	(.f64 #s(literal 1/24 binary64) (.f64 im im))
accuracy	17.150529384597277	#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))))
accuracy	22.37148937250592	#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)))
accuracy	0.0	(*.f64 im im)
accuracy	0.00390625	(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
accuracy	17.150529384597277	#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	22.392110153111705	#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	0.00390625	(*.f64 (+.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (+.f64 #s(approx (/ (exp (neg re)) 2) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64))) (sinh.f64 re))) (cos.f64 im))
accuracy	0.00390625	(sinh.f64 re)
accuracy	0.01171875	(+.f64 #s(approx (/ (exp (neg re)) 2) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64))) (sinh.f64 re))
accuracy	17.004696788263683	#s(approx (/ (exp (neg re)) 2) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64)))

Samples

94.0ms	86×	1	valid
50.0ms	101×	0	valid
24.0ms	69×	1	exit

Compiler

Compiled 190 to 34 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

ival-add: 60.0ms (41.9% of total)

ival-sinh: 17.0ms (11.9% of total)

ival-mult: 13.0ms (9.1% of total)

ival-sin: 12.0ms (8.4% of total)

adjust: 10.0ms (7% of total)

ival-exp: 8.0ms (5.6% of total)

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

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

const: 5.0ms (3.5% of total)

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

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

exact: 1.0ms (0.7% of total)

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

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

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

series15.0ms (0.2%)

Memory

-35.4MiB live, 12.9MiB allocated

Counts

24 → 62

Calls

Call 1

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

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))))))
1/2
(+ 1/2 (* 1/2 re))
(+ 1/2 (* re (+ 1/2 (* 1/4 re))))
(+ 1/2 (* re (+ 1/2 (* re (+ 1/4 (* 1/12 re))))))
(+ 1/2 (* -1/2 re))
(+ 1/2 (* re (- (* 1/4 re) 1/2)))
(+ 1/2 (* re (- (* re (+ 1/4 (* -1/12 re))) 1/2)))
re
(* re (+ 1 (* 1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))
(* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))
(* (cos im) (+ (* 1/2 (exp re)) (+ (* 1/2 (exp (neg re))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
(+ (* 1/2 (exp re)) (+ (* 1/2 (exp (neg re))) (* 1/2 (- (exp re) (/ 1 (exp re))))))
(* 1/2 (exp re))
(exp re)
(* (cos im) (exp re))
(* re (+ 1 (/ 1 re)))
(* 1/2 (exp (neg re)))
(+ (* 1/2 (exp (neg re))) (* 1/2 (- (exp re) (/ 1 (exp re)))))
(* 1/2 (- (exp re) (/ 1 (exp re))))
(* (cos im) (+ (* 1/2 (exp re)) (+ (* 1/2 (exp (* -1 re))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
(+ (* 1/2 (exp re)) (+ (* 1/2 (exp (* -1 re))) (* 1/2 (- (exp re) (/ 1 (exp re))))))
(* 1/2 (exp (* -1 re)))
(+ (* 1/2 (exp (* -1 re))) (* 1/2 (- (exp re) (/ 1 (exp re)))))
(+ (* -1/2 (* (pow im 2) (+ (* 1/2 (exp re)) (+ (* 1/2 (exp (neg re))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))) (+ (* 1/2 (exp re)) (+ (* 1/2 (exp (neg re))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
(+ (* 1/2 (exp re)) (+ (* 1/2 (exp (neg re))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/2 (+ (* 1/2 (exp re)) (+ (* 1/2 (exp (neg re))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/24 (* (pow im 2) (+ (* 1/2 (exp re)) (+ (* 1/2 (exp (neg re))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))))))))
(+ (* 1/2 (exp re)) (+ (* 1/2 (exp (neg re))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/2 (+ (* 1/2 (exp re)) (+ (* 1/2 (exp (neg re))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ (* 1/2 (exp re)) (+ (* 1/2 (exp (neg re))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))) (* 1/24 (+ (* 1/2 (exp re)) (+ (* 1/2 (exp (neg re))) (* 1/2 (- (exp re) (/ 1 (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)))
(pow im 2)
-1/2
(- (* 1/24 (pow im 2)) 1/2)
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* im (cos (* 1/2 (PI)))))
(+ (sin (* 1/2 (PI))) (* im (+ (cos (* 1/2 (PI))) (* -1/2 (* im (sin (* 1/2 (PI))))))))
(+ (sin (* 1/2 (PI))) (* im (+ (cos (* 1/2 (PI))) (* im (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* im (cos (* 1/2 (PI))))))))))
(* 1/2 (PI))
(+ im (* 1/2 (PI)))
(* 1/24 (pow im 2))
(* -1/2 (pow im 2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(* 1/24 (pow im 4))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(sin (+ im (* 1/2 (PI))))
im
(* im (+ 1 (* 1/2 (/ (PI) im))))
(sin (- (* 1/2 (PI)) (* -1 im)))
(* -1 (* im (- (* -1/2 (/ (PI) im)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	re	@	inf	((* (+ (/ (exp re) 2) (+ (/ (exp (neg re)) 2) (sinh re))) (cos im)) (+ (/ (exp re) 2) (+ (/ (exp (neg re)) 2) (sinh re))) (/ (exp re) 2) (exp re) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) (* (exp re) (cos im)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* (exp re) (cos im)) (exp re) (+ 1 re) (sin (+ (/ (PI) 2) im)) (* (exp re) (cos im)) (+ (/ (PI) 2) im) (/ (PI) 2) (/ (exp (neg re)) 2) (+ (/ (exp (neg re)) 2) (sinh re)) (sinh re) (* 1/24 (* im im)) (PI))
2.0ms	im	@	inf	((* (+ (/ (exp re) 2) (+ (/ (exp (neg re)) 2) (sinh re))) (cos im)) (+ (/ (exp re) 2) (+ (/ (exp (neg re)) 2) (sinh re))) (/ (exp re) 2) (exp re) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) (* (exp re) (cos im)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* (exp re) (cos im)) (exp re) (+ 1 re) (sin (+ (/ (PI) 2) im)) (* (exp re) (cos im)) (+ (/ (PI) 2) im) (/ (PI) 2) (/ (exp (neg re)) 2) (+ (/ (exp (neg re)) 2) (sinh re)) (sinh re) (* 1/24 (* im im)) (PI))
2.0ms	im	@	-inf	((* (+ (/ (exp re) 2) (+ (/ (exp (neg re)) 2) (sinh re))) (cos im)) (+ (/ (exp re) 2) (+ (/ (exp (neg re)) 2) (sinh re))) (/ (exp re) 2) (exp re) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) (* (exp re) (cos im)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* (exp re) (cos im)) (exp re) (+ 1 re) (sin (+ (/ (PI) 2) im)) (* (exp re) (cos im)) (+ (/ (PI) 2) im) (/ (PI) 2) (/ (exp (neg re)) 2) (+ (/ (exp (neg re)) 2) (sinh re)) (sinh re) (* 1/24 (* im im)) (PI))
2.0ms	re	@	-inf	((* (+ (/ (exp re) 2) (+ (/ (exp (neg re)) 2) (sinh re))) (cos im)) (+ (/ (exp re) 2) (+ (/ (exp (neg re)) 2) (sinh re))) (/ (exp re) 2) (exp re) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) (* (exp re) (cos im)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* (exp re) (cos im)) (exp re) (+ 1 re) (sin (+ (/ (PI) 2) im)) (* (exp re) (cos im)) (+ (/ (PI) 2) im) (/ (PI) 2) (/ (exp (neg re)) 2) (+ (/ (exp (neg re)) 2) (sinh re)) (sinh re) (* 1/24 (* im im)) (PI))
1.0ms	im	@	0	((* (+ (/ (exp re) 2) (+ (/ (exp (neg re)) 2) (sinh re))) (cos im)) (+ (/ (exp re) 2) (+ (/ (exp (neg re)) 2) (sinh re))) (/ (exp re) 2) (exp re) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) (* (exp re) (cos im)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* (exp re) (cos im)) (exp re) (+ 1 re) (sin (+ (/ (PI) 2) im)) (* (exp re) (cos im)) (+ (/ (PI) 2) im) (/ (PI) 2) (/ (exp (neg re)) 2) (+ (/ (exp (neg re)) 2) (sinh re)) (sinh re) (* 1/24 (* im im)) (PI))

simplify205.0ms (3.2%)

Memory

12.3MiB live, 202.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	192	774
1	693	689
2	2685	664
0	8077	612

Stop Event

1×	iter limit
1×	node limit

Counts

62 → 60

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))))))
1/2
(+ 1/2 (* 1/2 re))
(+ 1/2 (* re (+ 1/2 (* 1/4 re))))
(+ 1/2 (* re (+ 1/2 (* re (+ 1/4 (* 1/12 re))))))
(+ 1/2 (* -1/2 re))
(+ 1/2 (* re (- (* 1/4 re) 1/2)))
(+ 1/2 (* re (- (* re (+ 1/4 (* -1/12 re))) 1/2)))
re
(* re (+ 1 (* 1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))
(* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))
(* (cos im) (+ (* 1/2 (exp re)) (+ (* 1/2 (exp (neg re))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
(+ (* 1/2 (exp re)) (+ (* 1/2 (exp (neg re))) (* 1/2 (- (exp re) (/ 1 (exp re))))))
(* 1/2 (exp re))
(exp re)
(* (cos im) (exp re))
(* re (+ 1 (/ 1 re)))
(* 1/2 (exp (neg re)))
(+ (* 1/2 (exp (neg re))) (* 1/2 (- (exp re) (/ 1 (exp re)))))
(* 1/2 (- (exp re) (/ 1 (exp re))))
(* (cos im) (+ (* 1/2 (exp re)) (+ (* 1/2 (exp (* -1 re))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
(+ (* 1/2 (exp re)) (+ (* 1/2 (exp (* -1 re))) (* 1/2 (- (exp re) (/ 1 (exp re))))))
(* 1/2 (exp (* -1 re)))
(+ (* 1/2 (exp (* -1 re))) (* 1/2 (- (exp re) (/ 1 (exp re)))))
(+ (* -1/2 (* (pow im 2) (+ (* 1/2 (exp re)) (+ (* 1/2 (exp (neg re))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))) (+ (* 1/2 (exp re)) (+ (* 1/2 (exp (neg re))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
(+ (* 1/2 (exp re)) (+ (* 1/2 (exp (neg re))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/2 (+ (* 1/2 (exp re)) (+ (* 1/2 (exp (neg re))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/24 (* (pow im 2) (+ (* 1/2 (exp re)) (+ (* 1/2 (exp (neg re))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))))))))
(+ (* 1/2 (exp re)) (+ (* 1/2 (exp (neg re))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/2 (+ (* 1/2 (exp re)) (+ (* 1/2 (exp (neg re))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ (* 1/2 (exp re)) (+ (* 1/2 (exp (neg re))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))) (* 1/24 (+ (* 1/2 (exp re)) (+ (* 1/2 (exp (neg re))) (* 1/2 (- (exp re) (/ 1 (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)))
(pow im 2)
-1/2
(- (* 1/24 (pow im 2)) 1/2)
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* im (cos (* 1/2 (PI)))))
(+ (sin (* 1/2 (PI))) (* im (+ (cos (* 1/2 (PI))) (* -1/2 (* im (sin (* 1/2 (PI))))))))
(+ (sin (* 1/2 (PI))) (* im (+ (cos (* 1/2 (PI))) (* im (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* im (cos (* 1/2 (PI))))))))))
(* 1/2 (PI))
(+ im (* 1/2 (PI)))
(* 1/24 (pow im 2))
(* -1/2 (pow im 2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(* 1/24 (pow im 4))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(sin (+ im (* 1/2 (PI))))
im
(* im (+ 1 (* 1/2 (/ (PI) im))))
(sin (- (* 1/2 (PI)) (* -1 im)))
(* -1 (* im (- (* -1/2 (/ (PI) im)) 1)))

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

rewrite192.0ms (3%)

Memory

11.4MiB live, 241.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	221
0	63	213
1	225	213
2	1625	213
0	8920	213

Stop Event

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

Counts

24 → 470

Calls

Call 1

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

Outputs
(*.f64 (cos.f64 im) (+.f64 (+.f64 (sinh.f64 re) #s(approx (/ (exp (neg re)) 2) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64)))) (/.f64 (exp.f64 re) #s(literal 2 binary64))))
(*.f64 (+.f64 (+.f64 (sinh.f64 re) #s(approx (/ (exp (neg re)) 2) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64)))) (/.f64 (exp.f64 re) #s(literal 2 binary64))) (cos.f64 im))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(approx (/ (exp (neg re)) 2) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64))) (/.f64 (exp.f64 re) #s(literal 2 binary64))) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 #s(approx (/ (exp (neg re)) 2) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64))) (/.f64 (exp.f64 re) #s(literal 2 binary64))) (cos.f64 im)) (.f64 (+.f64 #s(approx (/ (exp (neg re)) 2) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64))) (/.f64 (exp.f64 re) #s(literal 2 binary64))) (cos.f64 im)) (-.f64 (.f64 (.f64 (sinh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 re) (cos.f64 im))) (.f64 (.f64 (+.f64 #s(approx (/ (exp (neg re)) 2) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64))) (/.f64 (exp.f64 re) #s(literal 2 binary64))) (cos.f64 im)) (.f64 (sinh.f64 re) (cos.f64 im))))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 (sinh.f64 re) #s(approx (/ (exp (neg re)) 2) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64)))) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (cos.f64 im)) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 (sinh.f64 re) #s(approx (/ (exp (neg re)) 2) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64)))) (cos.f64 im)) (.f64 (+.f64 (sinh.f64 re) #s(approx (/ (exp (neg re)) 2) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64)))) (cos.f64 im)) (-.f64 (.f64 (.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (cos.f64 im)) (.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (cos.f64 im))) (.f64 (.f64 (+.f64 (sinh.f64 re) #s(approx (/ (exp (neg re)) 2) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64)))) (cos.f64 im)) (.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (cos.f64 im))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 (sinh.f64 re) #s(approx (/ (exp (neg re)) 2) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64)))) (cos.f64 im)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (cos.f64 im)) (.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (cos.f64 im)) (-.f64 (.f64 (.f64 (+.f64 (sinh.f64 re) #s(approx (/ (exp (neg re)) 2) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64)))) (cos.f64 im)) (.f64 (+.f64 (sinh.f64 re) #s(approx (/ (exp (neg re)) 2) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64)))) (cos.f64 im))) (.f64 (.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (cos.f64 im)) (.f64 (+.f64 (sinh.f64 re) #s(approx (/ (exp (neg re)) 2) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64)))) (cos.f64 im))))))
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(/.f64 (-.f64 (.f64 (neg.f64 (neg.f64 (exp.f64 re))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 re)))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 re)) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 re))))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 re)) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 re)))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 re)) (.f64 (exp.f64 re) #s(literal 2 binary64))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (.f64 (exp.f64 re) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 re)) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 re)))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 re) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 re))))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 re) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 re)))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 re) (.f64 (exp.f64 re) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (exp.f64 re) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (exp.f64 re) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 re)))) #s(literal 4 binary64))
(/.f64 (-.f64 (neg.f64 (neg.f64 (exp.f64 re))) (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 re)))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 re) (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 re)))) #s(literal 2 binary64))
(/.f64 (-.f64 (neg.f64 (exp.f64 re)) (/.f64 #s(literal -1 binary64) (exp.f64 re))) #s(literal -2 binary64))
(/.f64 (-.f64 (neg.f64 (neg.f64 (exp.f64 re))) (exp.f64 (neg.f64 re))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64))
(sinh.f64 re)
(-.f64 (/.f64 (-.f64 (exp.f64 re) (cosh.f64 re)) #s(literal 2 binary64)) (/.f64 (sinh.f64 (neg.f64 re)) #s(literal 2 binary64)))
(-.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))
(+.f64 (/.f64 (-.f64 (exp.f64 re) (cosh.f64 re)) #s(literal 2 binary64)) (/.f64 (sinh.f64 re) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 re) #s(literal 2 binary64)) (/.f64 (-.f64 (sinh.f64 re) (exp.f64 (neg.f64 re))) #s(literal 2 binary64)))
(.f64 (fabs.f64 (.f64 #s(literal 1/24 binary64) (neg.f64 im))) im)
(.f64 (fabs.f64 (.f64 #s(literal 1/24 binary64) im)) im)
(.f64 (.f64 #s(literal 1/24 binary64) (neg.f64 im)) (neg.f64 im))
(.f64 (.f64 #s(literal 1/24 binary64) im) im)
(.f64 (neg.f64 im) (.f64 (neg.f64 im) #s(literal 1/24 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 im im))
(.f64 (.f64 im im) #s(literal 1/24 binary64))
(.f64 im (fabs.f64 (.f64 (neg.f64 im) #s(literal 1/24 binary64))))
(.f64 im (fabs.f64 (.f64 #s(literal 1/24 binary64) im)))
(.f64 im (.f64 #s(literal 1/24 binary64) im))
(sqrt.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im))))
(fabs.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (neg.f64 (PI.f64))) (sqrt.f64 (neg.f64 (PI.f64))))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (.f64 (cbrt.f64 (PI.f64)) (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (PI.f64)))
(pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (PI.f64))) (cosh.f64 (log.f64 (PI.f64))) (-.f64 (.f64 (sinh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64)))) (.f64 (cosh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64)))))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(fabs.f64 (neg.f64 (PI.f64)))
(fabs.f64 (PI.f64))
(exp.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (log.f64 (PI.f64)))
(+.f64 (cosh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64))))
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)

eval138.0ms (2.2%)

Memory: -13.4MiB live, 147.3MiB allocated
Compiler: Compiled 26 102 to 2 747 computations (89.5% saved)

prune30.0ms (0.5%)

Memory

21.2MiB live, 66.9MiB allocated

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	662	10	672
Fresh	0	5	5
Picked	4	1	5
Done	0	4	4
Total	666	20	686

Accuracy

100.0%

Counts

686 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.6%	(*.f64 (+.f64 #s(approx (/ (exp re) 2) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1/2 binary64))) (+.f64 #s(approx (/ (exp (neg re)) 2) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64))) (sinh.f64 re))) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	65.1%	(.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))))
✓	61.7%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	25.2%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
	41.9%	(.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 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
	36.6%	(.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))))
	30.1%	(.f64 #s(approx (exp re) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (.f64 (-.f64 #s(literal 1 binary64) re) (.f64 re re))) (.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) 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))))
✓	48.0%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
▶	32.3%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
	27.3%	(.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))))
	27.5%	#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (sqrt.f64 im) (sqrt.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	27.5%	#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (/ (PI) 2) im) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))))
✓	47.1%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
▶	30.5%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
	30.5%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
✓	25.3%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	19.0%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))))
	20.4%	#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))))
▶	9.9%	#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 727 to 519 computations (28.6% saved)

simplify145.0ms (2.3%)

Memory

11.8MiB live, 122.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	395
0	83	392
1	135	392
2	256	392
3	606	388
4	1866	388
5	7761	388
0	8476	385

Stop Event

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

Calls

Call 1

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

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

localize171.0ms (2.7%)

Memory

8.0MiB live, 245.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0703125	(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))
accuracy	17.150529384597277	#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))))
accuracy	22.37148937250592	#s(approx (cos im) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))))
accuracy	23.98126327517777	#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))
accuracy	0.04296875	(fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))
accuracy	0.32923137446467615	(.f64 #s(literal 1/24 binary64) (.f64 im im))
accuracy	16.414736335309502	#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
accuracy	22.37148937250592	#s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))
accuracy	0.07421875	(.f64 (.f64 #s(literal 1/24 binary64) im) im)
accuracy	0.21484375	(*.f64 #s(literal 1/24 binary64) im)
accuracy	17.150529384597277	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
accuracy	22.37148937250592	#s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
accuracy	0.0	(*.f64 im im)
accuracy	17.150529384597277	#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)))))
accuracy	22.392110153111705	#s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))
accuracy	24.062415250117905	#s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
accuracy	0.00390625	(sinh.f64 re)
accuracy	0.01171875	(+.f64 #s(approx (/ (exp (neg re)) 2) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64))) (sinh.f64 re))
accuracy	16.41822706894172	#s(approx (/ (exp re) 2) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1/2 binary64)))
accuracy	17.004696788263683	#s(approx (/ (exp (neg re)) 2) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64)))

Samples

104.0ms	187×	0	valid
30.0ms	69×	1	exit

Compiler

Compiled 217 to 43 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-mult: 33.0ms (42.7% of total)

ival-add: 10.0ms (12.9% of total)

ival-div: 7.0ms (9.1% of total)

adjust: 6.0ms (7.8% of total)

ival-cos: 6.0ms (7.8% of total)

ival-exp: 4.0ms (5.2% of total)

const: 4.0ms (5.2% of total)

ival-pow: 3.0ms (3.9% of total)

ival-sub: 2.0ms (2.6% of total)

exact: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

ival-sinh: 1.0ms (1.3% of total)

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

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

series15.0ms (0.2%)

Memory

1.0MiB live, 37.8MiB allocated

Counts

28 → 54

Calls

Call 1

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

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))))))
1/2
(+ 1/2 (* 1/2 re))
(+ 1/2 (* re (+ 1/2 (* 1/4 re))))
(+ 1/2 (* re (+ 1/2 (* re (+ 1/4 (* 1/12 re))))))
(+ 1/2 (* -1/2 re))
(+ 1/2 (* re (- (* 1/4 re) 1/2)))
(+ 1/2 (* re (- (* re (+ 1/4 (* -1/12 re))) 1/2)))
re
(* re (+ 1 (* 1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))
(* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))
(* (cos im) (+ (* 1/2 (exp re)) (+ (* 1/2 (exp (neg re))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
(+ (* 1/2 (exp re)) (+ (* 1/2 (exp (neg re))) (* 1/2 (- (exp re) (/ 1 (exp re))))))
(* 1/2 (exp re))
(* 1/2 re)
(* re (+ 1/2 (* 1/2 (/ 1 re))))
(* (cos im) (exp re))
(exp re)
(* re (+ 1 (/ 1 re)))
(* 1/2 (exp (neg re)))
(+ (* 1/2 (exp (neg re))) (* 1/2 (- (exp re) (/ 1 (exp re)))))
(* 1/2 (- (exp re) (/ 1 (exp re))))
(* (cos im) (+ (* 1/2 (exp re)) (+ (* 1/2 (exp (* -1 re))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
(+ (* 1/2 (exp re)) (+ (* 1/2 (exp (* -1 re))) (* 1/2 (- (exp re) (/ 1 (exp re))))))
(* 1/2 (exp (* -1 re)))
(+ (* 1/2 (exp (* -1 re))) (* 1/2 (- (exp re) (/ 1 (exp re)))))
(+ (* -1/2 (* (pow im 2) (+ (* 1/2 (exp re)) (+ (* 1/2 (exp (neg re))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))) (+ (* 1/2 (exp re)) (+ (* 1/2 (exp (neg re))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
(+ (* 1/2 (exp re)) (+ (* 1/2 (exp (neg re))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/2 (+ (* 1/2 (exp re)) (+ (* 1/2 (exp (neg re))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/24 (* (pow im 2) (+ (* 1/2 (exp re)) (+ (* 1/2 (exp (neg re))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))))))))
(+ (* 1/2 (exp re)) (+ (* 1/2 (exp (neg re))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/2 (+ (* 1/2 (exp re)) (+ (* 1/2 (exp (neg re))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ (* 1/2 (exp re)) (+ (* 1/2 (exp (neg re))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))) (* 1/24 (+ (* 1/2 (exp re)) (+ (* 1/2 (exp (neg re))) (* 1/2 (- (exp re) (/ 1 (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)))
(* -1/2 (pow im 2))
-1/2
(- (* 1/24 (pow im 2)) 1/2)
(* 1/24 (pow im 4))
(pow im 2)
(* 1/24 im)
(* 1/24 (pow im 2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	re	@	inf	((* (+ (/ (exp re) 2) (+ (/ (exp (neg re)) 2) (sinh re))) (cos im)) (+ (/ (exp re) 2) (+ (/ (exp (neg re)) 2) (sinh re))) (/ (exp re) 2) (+ (* 1/2 re) 1/2) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (cos im) (+ (* (- (* (* 1/24 im) im) 1/2) (* im im)) 1) (- (* (* 1/24 im) im) 1/2) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (* (exp re) (cos im)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (* (pow im 4) 1/24) (/ (exp (neg re)) 2) (+ (/ (exp (neg re)) 2) (sinh re)) (sinh re) (* im im) (* 1/24 im) (* (* 1/24 im) im) (* 1/24 (* im im)) (+ (* (* (- (* 1/24 (* im im)) 1/2) im) im) 1))
3.0ms	im	@	inf	((* (+ (/ (exp re) 2) (+ (/ (exp (neg re)) 2) (sinh re))) (cos im)) (+ (/ (exp re) 2) (+ (/ (exp (neg re)) 2) (sinh re))) (/ (exp re) 2) (+ (* 1/2 re) 1/2) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (cos im) (+ (* (- (* (* 1/24 im) im) 1/2) (* im im)) 1) (- (* (* 1/24 im) im) 1/2) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (* (exp re) (cos im)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (* (pow im 4) 1/24) (/ (exp (neg re)) 2) (+ (/ (exp (neg re)) 2) (sinh re)) (sinh re) (* im im) (* 1/24 im) (* (* 1/24 im) im) (* 1/24 (* im im)) (+ (* (* (- (* 1/24 (* im im)) 1/2) im) im) 1))
3.0ms	im	@	-inf	((* (+ (/ (exp re) 2) (+ (/ (exp (neg re)) 2) (sinh re))) (cos im)) (+ (/ (exp re) 2) (+ (/ (exp (neg re)) 2) (sinh re))) (/ (exp re) 2) (+ (* 1/2 re) 1/2) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (cos im) (+ (* (- (* (* 1/24 im) im) 1/2) (* im im)) 1) (- (* (* 1/24 im) im) 1/2) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (* (exp re) (cos im)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (* (pow im 4) 1/24) (/ (exp (neg re)) 2) (+ (/ (exp (neg re)) 2) (sinh re)) (sinh re) (* im im) (* 1/24 im) (* (* 1/24 im) im) (* 1/24 (* im im)) (+ (* (* (- (* 1/24 (* im im)) 1/2) im) im) 1))
2.0ms	re	@	-inf	((* (+ (/ (exp re) 2) (+ (/ (exp (neg re)) 2) (sinh re))) (cos im)) (+ (/ (exp re) 2) (+ (/ (exp (neg re)) 2) (sinh re))) (/ (exp re) 2) (+ (* 1/2 re) 1/2) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (cos im) (+ (* (- (* (* 1/24 im) im) 1/2) (* im im)) 1) (- (* (* 1/24 im) im) 1/2) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (* (exp re) (cos im)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (* (pow im 4) 1/24) (/ (exp (neg re)) 2) (+ (/ (exp (neg re)) 2) (sinh re)) (sinh re) (* im im) (* 1/24 im) (* (* 1/24 im) im) (* 1/24 (* im im)) (+ (* (* (- (* 1/24 (* im im)) 1/2) im) im) 1))
1.0ms	im	@	0	((* (+ (/ (exp re) 2) (+ (/ (exp (neg re)) 2) (sinh re))) (cos im)) (+ (/ (exp re) 2) (+ (/ (exp (neg re)) 2) (sinh re))) (/ (exp re) 2) (+ (* 1/2 re) 1/2) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (cos im) (+ (* (- (* (* 1/24 im) im) 1/2) (* im im)) 1) (- (* (* 1/24 im) im) 1/2) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (* (exp re) (cos im)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (* (pow im 4) 1/24) (/ (exp (neg re)) 2) (+ (/ (exp (neg re)) 2) (sinh re)) (sinh re) (* im im) (* 1/24 im) (* (* 1/24 im) im) (* 1/24 (* im im)) (+ (* (* (- (* 1/24 (* im im)) 1/2) im) im) 1))

simplify186.0ms (2.9%)

Memory

-30.1MiB live, 174.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	164	681
1	603	596
2	2375	573
0	8324	530

Stop Event

1×	iter limit
1×	node limit

Counts

54 → 53

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

rewrite236.0ms (3.7%)

Memory

10.7MiB live, 217.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	346
0	83	343
1	278	343
2	1494	343
0	8199	340

Stop Event

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

Counts

28 → 345

Calls

Call 1

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

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

eval53.0ms (0.8%)

Memory: 16.4MiB live, 88.7MiB allocated
Compiler: Compiled 17 646 to 1 827 computations (89.6% saved)

prune28.0ms (0.4%)

Memory

-28.8MiB live, 57.9MiB allocated

Pruning

21 alts after pruning (11 fresh and 10 done)

	Pruned	Kept	Total
New	373	1	374
Fresh	0	10	10
Picked	0	5	5
Done	0	5	5
Total	373	21	394

Accuracy

100.0%

Counts

394 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.6%	(*.f64 (+.f64 #s(approx (/ (exp re) 2) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1/2 binary64))) (+.f64 #s(approx (/ (exp (neg re)) 2) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64))) (sinh.f64 re))) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	65.1%	(.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))))
✓	61.7%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	25.2%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
	41.9%	(.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 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
	36.6%	(.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))))
	30.1%	(.f64 #s(approx (exp re) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (.f64 (-.f64 #s(literal 1 binary64) re) (.f64 re re))) (.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) 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))))
✓	48.0%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
✓	32.3%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
	27.3%	(.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))))
	27.5%	#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (sqrt.f64 im) (sqrt.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	27.5%	#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (/ (PI) 2) im) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))))
✓	47.1%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
✓	30.5%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
	30.5%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
✓	25.3%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	19.0%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))))
	19.0%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) (.f64 im im)))))
	20.4%	#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))))
✓	9.9%	#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 961 to 434 computations (54.8% saved)

regimes81.0ms (1.3%)

Memory

-8.6MiB live, 68.7MiB allocated

Counts

28 → 1

Calls

Call 1

Inputs
#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))))
(.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) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) (.f64 im im)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im #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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64)) (*.f64 im im) #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))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) 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 #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 (.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) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (.f64 (-.f64 #s(literal 1 binary64) re) (.f64 re re))) (.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) 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))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (/ (PI) 2) im) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)))
(.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 (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))))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (sqrt.f64 im) (sqrt.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (+.f64 #s(approx (/ (exp re) 2) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1/2 binary64))) (+.f64 #s(approx (/ (exp (neg re)) 2) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64))) (sinh.f64 re))) (cos.f64 im))
(*.f64 (+.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (+.f64 #s(approx (/ (exp (neg re)) 2) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64))) (sinh.f64 re))) (cos.f64 im))
(*.f64 (+.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (+.f64 (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (sinh.f64 re))) (cos.f64 im))

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

Calls

5 calls:

30.0ms	(exp.f64 re)
9.0ms	im
9.0ms	re
9.0ms	(cos.f64 im)
7.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

Results

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

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes51.0ms (0.8%)

Memory

26.5MiB live, 61.7MiB allocated

Counts

24 → 4

Calls

Call 1

Inputs
#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))))
(.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) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) (.f64 im im)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im #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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64)) (*.f64 im im) #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))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) 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 #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 (.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) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (.f64 (-.f64 #s(literal 1 binary64) re) (.f64 re re))) (.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) 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))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (/ (PI) 2) im) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)))
(.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 (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))))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (sqrt.f64 im) (sqrt.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64)))))

Outputs
(.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) (+.f64 #s(literal 1 binary64) re)) (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 #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))

Calls

5 calls:

22.0ms	im
8.0ms	re
7.0ms	(cos.f64 im)
6.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
6.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
92.3%	4	`re`
83.3%	2	`im`
91.9%	4	`(*.f64 (exp.f64 re) (cos.f64 im))`
89.5%	3	`(exp.f64 re)`
84.0%	2	`(cos.f64 im)`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes56.0ms (0.9%)

Memory

-21.1MiB live, 27.6MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

(*.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 (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))

Calls

3 calls:

42.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
7.0ms	re
6.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
86.7%	2	`(exp.f64 re)`
86.3%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`
86.7%	2	`re`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes14.0ms (0.2%)

Memory

27.4MiB live, 27.4MiB allocated

Counts

21 → 4

Calls

Call 1

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

Outputs
(.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) (+.f64 #s(literal 1 binary64) re)) (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))))
(*.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))

Calls

2 calls:

7.0ms	re
5.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
88.4%	4	`re`
84.7%	3	`(exp.f64 re)`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes34.0ms (0.5%)

Memory

-11.6MiB live, 26.0MiB allocated

Counts

20 → 4

Calls

Call 1

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

Calls

2 calls:

27.0ms	re
6.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
87.7%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`
87.2%	4	`re`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes44.0ms (0.7%)

Memory

4.1MiB live, 40.8MiB allocated

Counts

19 → 5

Calls

Call 1

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

Calls

5 calls:

20.0ms	im
6.0ms	re
6.0ms	(cos.f64 im)
5.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
5.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
87.7%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`
84.2%	3	`(exp.f64 re)`
56.6%	2	`im`
58.3%	2	`(cos.f64 im)`
85.9%	4	`re`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes41.0ms (0.6%)

Memory

2.9MiB live, 37.5MiB allocated

Counts

18 → 4

Calls

Call 1

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

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

Calls

3 calls:

30.0ms	re
5.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
5.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
74.8%	3	`(exp.f64 re)`
76.6%	4	`re`
78.0%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes35.0ms (0.5%)

Memory

-26.5MiB live, 22.3MiB allocated

Counts

16 → 4

Calls

Call 1

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

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

Calls

2 calls:

28.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
5.0ms	re

Results

Accuracy	Segments	Branch
77.8%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`
76.4%	4	`re`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes31.0ms (0.5%)

Memory

7.9MiB live, 45.3MiB allocated

Counts

13 → 3

Calls

Call 1

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

Calls

5 calls:

14.0ms	im
5.0ms	re
4.0ms	(cos.f64 im)
4.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
4.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
41.9%	1	`im`
45.5%	2	`(cos.f64 im)`
56.0%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`
52.4%	2	`(exp.f64 re)`
54.1%	3	`re`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes11.0ms (0.2%)

Memory

30.1MiB live, 30.1MiB allocated

Counts

11 → 3

Calls

Call 1

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

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

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

Calls

3 calls:

4.0ms	re
3.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
3.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
47.1%	2	`(exp.f64 re)`
49.2%	3	`re`
47.4%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes6.0ms (0.1%)

Memory

-21.6MiB live, 14.6MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

re

Results

Accuracy	Segments	Branch
48.8%	3	`re`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes15.0ms (0.2%)

Memory

2.9MiB live, 41.8MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
3.0ms	re
3.0ms	im
3.0ms	(cos.f64 im)
2.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
32.4%	2	`im`
33.5%	2	`(cos.f64 im)`
43.8%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`
40.9%	2	`(exp.f64 re)`
40.9%	2	`re`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes6.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

4 → 4

Calls

Call 1

Inputs
#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))))
(.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) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) (.f64 im im)))))

Outputs
(.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) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) (.f64 im im)))))
(.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) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) (.f64 im im)))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
41.1%	3	`re`
41.1%	3	`(exp.f64 re)`
43.9%	4	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes5.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#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))))

(*.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))))

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)))))

(*.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))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
34.1%	2	`(exp.f64 re)`
34.1%	2	`re`
32.6%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes18.0ms (0.3%)

Memory

-36.2MiB live, 13.5MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

Calls

5 calls:

12.0ms	(exp.f64 re)
1.0ms	re
1.0ms	im
1.0ms	(cos.f64 im)
1.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
25.3%	1	`im`
31.9%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`
25.3%	1	`(cos.f64 im)`
31.9%	2	`(exp.f64 re)`
31.9%	2	`re`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes6.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#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)))))

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)))))

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
9.9%	1	`im`
9.9%	1	`(cos.f64 im)`
9.9%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
9.9%	1	`re`
9.9%	1	`(exp.f64 re)`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch92.0ms (1.5%)

Memory

7.1MiB live, 45.0MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
61.0ms	1.5569846197962743e+85	9.017801519142869e+106
11.0ms	2.9895101667010765e-10	1.219241366052681e-8
16.0ms	-0.014040318976213474	-1.4601884581504756e-15

Samples

27.0ms

448×

valid

Compiler

Compiled 781 to 668 computations (14.5% saved)

Precisions

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

ival-cos: 10.0ms (57.8% of total)

ival-exp: 4.0ms (23.1% of total)

ival-mult: 3.0ms (17.4% of total)

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

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

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9860577866209297	0.9999999999999986

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch20.0ms (0.3%)

Memory

-0.5MiB live, 33.3MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	4.229715233900509e+148	1.3693992456423176e+152
1.0ms	2.9895101667010765e-10	1.219241366052681e-8
1.0ms	-0.014040318976213474	-1.4601884581504756e-15

Samples

11.0ms

128×

valid

Compiler

Compiled 565 to 526 computations (6.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-exp: 4.0ms (49.8% of total)

ival-cos: 3.0ms (37.3% of total)

ival-mult: 1.0ms (12.4% of total)

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

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

bsearch4.0ms (0.1%)

Memory

9.6MiB live, 9.7MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.229715233900509e+148	1.3693992456423176e+152
1.0ms	2.9895101667010765e-10	1.219241366052681e-8
1.0ms	-0.014040318976213474	-1.4601884581504756e-15

Compiler

Compiled 669 to 574 computations (14.2% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.2MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9994053447737418	0.9999998888917206
0.0ms	0.0	0.05251644312163424
0.0ms	-0.04810403866513628	0.0
0.0ms	-33349873593986585000.0	-0.9999595709725037

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch30.0ms (0.5%)

Memory

11.3MiB live, 47.6MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.229715233900509e+148	1.3693992456423176e+152
13.0ms	36790.63301645476	9987940.097324831
13.0ms	-4.675096214048562e+33	-7.817861861561697e+31

Samples

14.0ms

240×

valid

Compiler

Compiled 1 215 to 787 computations (35.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-cos: 4.0ms (47.4% of total)

ival-exp: 2.0ms (23.7% of total)

ival-mult: 1.0ms (11.9% of total)

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

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

bsearch11.0ms (0.2%)

Memory

-42.5MiB live, 4.8MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.229715233900509e+148	1.3693992456423176e+152
4.0ms	2.9895101667010765e-10	1.219241366052681e-8
5.0ms	-4.675096214048562e+33	-7.817861861561697e+31

Samples

2.0ms

32×

valid

Compiler

Compiled 1 152 to 742 computations (35.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-cos: 1.0ms (79.8% of total)

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

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

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

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

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.05251644312163424
0.0ms	-0.04810403866513628	0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch33.0ms (0.5%)

Memory

2.8MiB live, 41.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	6.924279330293764e+55	9.003565199326547e+63
15.0ms	-5061240417630.313	-1150805.4061291318

Samples

18.0ms

288×

valid

Compiler

Compiled 872 to 649 computations (25.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-cos: 7.0ms (59.6% of total)

ival-exp: 3.0ms (25.6% of total)

ival-mult: 2.0ms (17% of total)

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

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

bsearch3.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.924279330293764e+55	9.003565199326547e+63
1.0ms	-4.675096214048562e+33	-7.817861861561697e+31

Compiler

Compiled 748 to 555 computations (25.8% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.05251644312163424
0.0ms	-0.04810403866513628	0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0000018325123066	+inf
0.0ms	0.8939365260253095	0.9060363741815906
0.0ms	-0.04810403866513628	0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-5061240417630.313	-1150805.4061291318

Compiler

Compiled 350 to 280 computations (20% saved)

bsearch24.0ms (0.4%)

Memory

3.2MiB live, 41.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	0.0	0.9060363741815906

Samples

13.0ms

224×

valid

Compiler

Compiled 526 to 416 computations (20.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-cos: 5.0ms (75.9% of total)

ival-mult: 1.0ms (15.2% of total)

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

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

simplify74.0ms (1.2%)

Memory

-26.4MiB live, 65.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	137	1117
1	178	1102
2	279	1102
3	487	1102
4	856	1102
5	2753	1102

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 re #s(literal -760928193040519/2305843009213693952 binary64)) (.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 re #s(literal 7253554917687775/604462909807314587353088 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (if (<=.f64 re #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) (.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 #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 (exp.f64 re) #s(literal 4458563631096791/4503599627370496 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 (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 re #s(literal -760928193040519/2305843009213693952 binary64)) (.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 re #s(literal 7253554917687775/604462909807314587353088 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (if (<=.f64 re #s(literal 135000000000000007406837942343640314780573560354155384429875958821426844017986847435590477822411301250091725450182787194961221450873081119112277818081280 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)))))
(if (<=.f64 re #s(literal -760928193040519/2305843009213693952 binary64)) (.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 re #s(literal 7253554917687775/604462909807314587353088 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (if (<=.f64 re #s(literal 135000000000000007406837942343640314780573560354155384429875958821426844017986847435590477822411301250091725450182787194961221450873081119112277818081280 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))) #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)))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -20000000000000000000 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 -5764607523034235/144115188075855872 binary64)) #s(approx ( (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 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 4501347827556811/4503599627370496 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 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 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))))))
(if (<=.f64 re #s(literal -79999999999999997087170359721984 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) (.f64 im im))))) (if (<=.f64 re #s(literal 46000 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (if (<=.f64 re #s(literal 135000000000000007406837942343640314780573560354155384429875958821426844017986847435590477822411301250091725450182787194961221450873081119112277818081280 binary64)) (.f64 #s(approx (exp re) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (.f64 (-.f64 #s(literal 1 binary64) re) (.f64 re re))) (.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) 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 #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 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))))))
(if (<=.f64 re #s(literal -79999999999999997087170359721984 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) (.f64 im im))))) (if (<=.f64 re #s(literal 3264099712959499/302231454903657293676544 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 re #s(literal 135000000000000007406837942343640314780573560354155384429875958821426844017986847435590477822411301250091725450182787194961221450873081119112277818081280 binary64)) (.f64 #s(approx (exp re) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (.f64 (-.f64 #s(literal 1 binary64) re) (.f64 re re))) (.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) 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 #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 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/144115188075855872 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)))) (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 (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) (.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 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))))
(if (<=.f64 re #s(literal -1160000 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) (.f64 im im))))) (if (<=.f64 re #s(literal 4299999999999999711002297142120287075029375074882906495123456 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) im) im #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))))))
(if (<=.f64 re #s(literal -79999999999999997087170359721984 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) (.f64 im im))))) (if (<=.f64 re #s(literal 4299999999999999711002297142120287075029375074882906495123456 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) im) im #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))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/144115188075855872 binary64)) (.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)))) (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 (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) (.f64 im im))))) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/144115188075855872 binary64)) (.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)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8106479329266893/9007199254740992 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) (.f64 im im))))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (.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) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) (.f64 im im))))))))
(if (<=.f64 re #s(literal -1160000 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))))) (.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)))))
(if (<=.f64 (exp.f64 re) #s(literal 8269423619440229/142576269300693600582536612678134103902913390851517497830599766184352348975271168328309775353667856243082572174174825228459022022542982437445395666241319193382874833573758279690089818507706368 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 (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)))))

Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 re #s(literal -760928193040519/2305843009213693952 binary64)) (.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 re #s(literal 7253554917687775/604462909807314587353088 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (if (<=.f64 re #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) (.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 #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 (exp.f64 re) #s(literal 4458563631096791/4503599627370496 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 (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 re #s(literal -760928193040519/2305843009213693952 binary64)) (.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 re #s(literal 7253554917687775/604462909807314587353088 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (if (<=.f64 re #s(literal 135000000000000007406837942343640314780573560354155384429875958821426844017986847435590477822411301250091725450182787194961221450873081119112277818081280 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)))))
(if (<=.f64 re #s(literal -760928193040519/2305843009213693952 binary64)) (.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 re #s(literal 7253554917687775/604462909807314587353088 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (if (<=.f64 re #s(literal 135000000000000007406837942343640314780573560354155384429875958821426844017986847435590477822411301250091725450182787194961221450873081119112277818081280 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))) #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)))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -20000000000000000000 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 -5764607523034235/144115188075855872 binary64)) #s(approx ( (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 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 4501347827556811/4503599627370496 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 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 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))))))
(if (<=.f64 re #s(literal -79999999999999997087170359721984 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) (.f64 im im))))) (if (<=.f64 re #s(literal 46000 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (if (<=.f64 re #s(literal 135000000000000007406837942343640314780573560354155384429875958821426844017986847435590477822411301250091725450182787194961221450873081119112277818081280 binary64)) (.f64 #s(approx (exp re) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (.f64 (-.f64 #s(literal 1 binary64) re) (.f64 re re))) (.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) 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 #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 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))))))
(if (<=.f64 re #s(literal -79999999999999997087170359721984 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) (.f64 im im))))) (if (<=.f64 re #s(literal 46000 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (if (<=.f64 re #s(literal 135000000000000007406837942343640314780573560354155384429875958821426844017986847435590477822411301250091725450182787194961221450873081119112277818081280 binary64)) (.f64 #s(approx (exp re) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) re) (.f64 (-.f64 #s(literal 1 binary64) re) (.f64 re re))) (.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) 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 #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 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))))))
(if (<=.f64 re #s(literal -79999999999999997087170359721984 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) (.f64 im im))))) (if (<=.f64 re #s(literal 3264099712959499/302231454903657293676544 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 re #s(literal 135000000000000007406837942343640314780573560354155384429875958821426844017986847435590477822411301250091725450182787194961221450873081119112277818081280 binary64)) (.f64 #s(approx (exp re) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (.f64 (-.f64 #s(literal 1 binary64) re) (.f64 re re))) (.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) 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 #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 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))))))
(if (<=.f64 re #s(literal -79999999999999997087170359721984 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) (.f64 im im))))) (if (<=.f64 re #s(literal 3264099712959499/302231454903657293676544 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 re #s(literal 135000000000000007406837942343640314780573560354155384429875958821426844017986847435590477822411301250091725450182787194961221450873081119112277818081280 binary64)) (.f64 #s(approx (exp re) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) re) (.f64 (-.f64 #s(literal 1 binary64) re) (.f64 re re))) (.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) 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 #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 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/144115188075855872 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)))) (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 (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) (.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 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))))
(if (<=.f64 re #s(literal -1160000 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) (.f64 im im))))) (if (<=.f64 re #s(literal 4299999999999999711002297142120287075029375074882906495123456 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) im) im #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))))))
(if (<=.f64 re #s(literal -79999999999999997087170359721984 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) (.f64 im im))))) (if (<=.f64 re #s(literal 4299999999999999711002297142120287075029375074882906495123456 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) im) im #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))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/144115188075855872 binary64)) (.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)))) (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 (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) (.f64 im im))))) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/144115188075855872 binary64)) (.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)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8106479329266893/9007199254740992 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) (.f64 im im))))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (.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) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) (.f64 im im))))))))
(if (or (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/144115188075855872 binary64)) (not (or (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8106479329266893/9007199254740992 binary64)) (not (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)))))) (.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) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) (.f64 im im))))))
(if (<=.f64 re #s(literal -1160000 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))))) (.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)))))
(if (<=.f64 (exp.f64 re) #s(literal 8269423619440229/142576269300693600582536612678134103902913390851517497830599766184352348975271168328309775353667856243082572174174825228459022022542982437445395666241319193382874833573758279690089818507706368 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 (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)))))

soundness1.2s (18.4%)

Memory

30.5MiB live, 829.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	642
1	592	555
2	2372	532
0	8384	485
0	55	346
0	83	343
1	278	343
2	1494	343
0	8199	340
0	192	774
1	693	689
2	2685	664
0	8077	612
0	39	221
0	63	213
1	225	213
2	1625	213
0	8920	213
0	64	175
1	237	164
2	882	160
3	3902	156
0	8046	136

Stop Event

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

Compiler

Compiled 1 940 to 832 computations (57.1% saved)

preprocess128.0ms (2%)

Memory: 3.1MiB live, 79.5MiB allocated
Remove: (abs im)
Compiler: Compiled 2 234 to 314 computations (85.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample755.0ms (11.9%)

explain59.0ms (0.9%)

preprocess131.0ms (2.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify117.0ms (1.9%)

localize20.0ms (0.3%)

series17.0ms (0.3%)

simplify158.0ms (2.5%)

rewrite235.0ms (3.7%)

eval64.0ms (1%)

prune9.0ms (0.1%)

simplify242.0ms (3.8%)

localize128.0ms (2%)

series18.0ms (0.3%)

simplify255.0ms (4%)

rewrite280.0ms (4.4%)

eval62.0ms (1%)

prune18.0ms (0.3%)

simplify110.0ms (1.7%)

localize195.0ms (3.1%)

series15.0ms (0.2%)

simplify205.0ms (3.2%)

rewrite192.0ms (3%)

eval138.0ms (2.2%)

prune30.0ms (0.5%)

simplify145.0ms (2.3%)

localize171.0ms (2.7%)

series15.0ms (0.2%)

simplify186.0ms (2.9%)

rewrite236.0ms (3.7%)

eval53.0ms (0.8%)

prune28.0ms (0.4%)

regimes81.0ms (1.3%)

regimes51.0ms (0.8%)

regimes56.0ms (0.9%)

regimes14.0ms (0.2%)

regimes34.0ms (0.5%)

regimes44.0ms (0.7%)

regimes41.0ms (0.6%)

regimes35.0ms (0.5%)

regimes31.0ms (0.5%)

regimes11.0ms (0.2%)

regimes6.0ms (0.1%)

regimes15.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes18.0ms (0.3%)

regimes6.0ms (0.1%)

bsearch92.0ms (1.5%)

bsearch0.0ms (0%)

bsearch20.0ms (0.3%)

bsearch4.0ms (0.1%)

bsearch1.0ms (0%)

bsearch30.0ms (0.5%)

bsearch11.0ms (0.2%)

bsearch1.0ms (0%)

bsearch33.0ms (0.5%)

bsearch3.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch24.0ms (0.4%)

simplify74.0ms (1.2%)

soundness1.2s (18.4%)

preprocess128.0ms (2%)

end0.0ms (0%)

Profiling