Metrics for math.exp on complex, real part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample981.0ms (14.7%)

Memory

36.7MiB live, 786.2MiB allocated

Samples

742.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 499.0ms

ival-cos: 330.0ms (66.2% of total)

ival-exp: 110.0ms (22.1% of total)

ival-mult: 49.0ms (9.8% of total)

ival-true: 6.0ms (1.2% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain70.0ms (1%)

Memory

-34.3MiB live, 134.6MiB 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

37.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-cos: 16.0ms (68.9% of total)

ival-exp: 4.0ms (17.2% of total)

ival-mult: 3.0ms (12.9% of total)

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

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

preprocess170.0ms (2.5%)

Memory

22.7MiB live, 182.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs im)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

simplify137.0ms (2.1%)

Memory

1.4MiB live, 193.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize23.0ms (0.3%)

Memory

-7.9MiB live, 31.2MiB 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

18.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-cos: 8.0ms (65.6% of total)

ival-exp: 2.0ms (16.4% of total)

ival-mult: 2.0ms (16.4% of total)

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

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

series3.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

3 → 16

Calls

Call 1

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

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

Calls

6 calls:

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

simplify297.0ms (4.4%)

Memory

28.7MiB live, 182.8MiB 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))

rewrite320.0ms (4.8%)

Memory

-25.1MiB live, 269.8MiB 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))

eval38.0ms (0.6%)

Memory: 13.0MiB live, 86.4MiB allocated
Compiler: Compiled 6 367 to 865 computations (86.4% saved)

prune12.0ms (0.2%)

Memory

-24.3MiB live, 22.5MiB 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
▶	100.0%	(/.f64 (cos.f64 im) (exp.f64 (neg.f64 re)))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	61.5%	(.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))))
▶	62.9%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	70.8%	(*.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))
▶	67.0%	(*.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))
▶	58.0%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
▶	57.1%	#s(approx (* (exp re) (cos im)) (cos.f64 im))

Compiler

Compiled 169 to 137 computations (18.9% saved)

simplify140.0ms (2.1%)

Memory

11.8MiB live, 165.3MiB 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	(neg.f64 re)
cost-diff	0	(exp.f64 (neg.f64 re))
cost-diff	0	(cos.f64 im)
cost-diff	1	(/.f64 (cos.f64 im) (exp.f64 (neg.f64 re)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	125
0	43	125
1	76	125
2	157	124
3	418	124
4	1260	124
5	7708	124
0	8351	124

Stop Event

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

Calls

Call 1

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

localize56.0ms (0.8%)

Memory

-9.2MiB live, 105.1MiB 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	15.932840365181448	#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	(*.f64 im im)
accuracy	0.0	(exp.f64 re)
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	24.286579034339816	#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	16.013380515734013	#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
accuracy	0.0	(cos.f64 im)
accuracy	16.319412695829957	#s(approx (* (exp re) (cos im)) (cos.f64 im))
accuracy	0.0	(neg.f64 re)
accuracy	0.0	(exp.f64 (neg.f64 re))
accuracy	0.0	(cos.f64 im)
accuracy	0.00390625	(/.f64 (cos.f64 im) (exp.f64 (neg.f64 re)))

Samples

33.0ms	210×	0	valid
7.0ms	46×	0	exit

Compiler

Compiled 90 to 21 computations (76.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 7.0ms (28.6% of total)

ival-cos: 6.0ms (24.5% of total)

ival-add: 5.0ms (20.4% of total)

ival-exp: 3.0ms (12.3% of total)

ival-div: 1.0ms (4.1% of total)

ival-neg: 1.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated

Counts

17 → 41

Calls

Call 1

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

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

Calls

6 calls:

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

simplify124.0ms (1.9%)

Memory

-0.3MiB live, 125.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	416
1	444	371
2	1610	354
3	6138	342
0	8122	303

Stop Event

1×	iter limit
1×	node limit

Counts

41 → 40

Calls

Call 1

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

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

rewrite227.0ms (3.4%)

Memory

19.0MiB live, 204.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	105
0	43	105
1	124	105
2	739	104
3	7070	104
0	8380	104

Stop Event

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

Counts

17 → 452

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (cos.f64 im) (-.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 re) (exp.f64 re) (pow.f64 (cosh.f64 re) #s(literal 2 binary64))))
(.f64 (/.f64 (cos.f64 im) (+.f64 (neg.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 (cosh.f64 re) (sinh.f64 (neg.f64 re)))))
(*.f64 (/.f64 (cos.f64 im) #s(literal -1 binary64)) (neg.f64 (exp.f64 re)))
(*.f64 (/.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64)) (neg.f64 (exp.f64 re)))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.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 (cosh.f64 re) (cos.f64 im)) (.f64 (cosh.f64 re) (cos.f64 im))) (.f64 (.f64 (sinh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 re) (cos.f64 im)))) (-.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 re) (cos.f64 im))))
(/.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 3 binary64))) (fma.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (cosh.f64 re) (cos.f64 im)) (-.f64 (.f64 (.f64 (sinh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 re) (cos.f64 im))) (.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 re) (cos.f64 im))))))
(/.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 #s(literal 1 binary64) (-.f64 (cosh.f64 (+.f64 re re)) (*.f64 (sinh.f64 re) (cosh.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 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 (neg.f64 re)))
(/.f64 (neg.f64 (cos.f64 im)) (/.f64 #s(literal -1 binary64) (exp.f64 re)))
(/.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1 binary64))
(/.f64 (cos.f64 im) (exp.f64 (neg.f64 re)))
(neg.f64 (*.f64 (cos.f64 im) (neg.f64 (exp.f64 re))))
(fma.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (exp.f64 re) (.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re)))
(fma.f64 (sinh.f64 re) (cos.f64 im) (*.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (exp.f64 re) (.f64 #s(literal 0 binary64) (sin.f64 im)) (.f64 (exp.f64 re) (*.f64 #s(literal 1 binary64) (cos.f64 im))))
(fma.f64 (cos.f64 im) (sinh.f64 re) (*.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 (cos.f64 im) (cosh.f64 re) (*.f64 (sinh.f64 re) (cos.f64 im)))
(-.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im)))
(-.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (neg.f64 (cos.f64 im)) (sinh.f64 re)))
(+.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (exp.f64 re)) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re)))
(+.f64 (.f64 (exp.f64 re) (.f64 #s(literal 0 binary64) (sin.f64 im))) (.f64 (exp.f64 re) (.f64 #s(literal 1 binary64) (cos.f64 im))))
(+.f64 (/.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (exp.f64 (neg.f64 re))) (.f64 (exp.f64 re) (cos.f64 im)))
(+.f64 (.f64 (sinh.f64 re) (cos.f64 im)) (.f64 (cosh.f64 re) (cos.f64 im)))
(+.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 re) (cos.f64 im)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (.f64 #s(literal 0 binary64) (sin.f64 im))) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(literal 1 binary64) (cos.f64 im)))) (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (.f64 #s(literal 0 binary64) (sin.f64 im)) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(literal 1 binary64) (cos.f64 im))) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (.f64 #s(literal 1 binary64) (cos.f64 im))))))
(/.f64 (neg.f64 (cos.f64 im)) #s(literal -1 binary64))
(/.f64 (cos.f64 im) #s(literal 1 binary64))
(neg.f64 (neg.f64 (cos.f64 im)))
(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 (neg.f64 (sin.f64 im)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 #s(literal 0 binary64) (sin.f64 im) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 (sin.f64 im) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 (neg.f64 (cos.f64 im)) #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im) (PI.f64))) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (cos.f64 im)) #s(literal -1 binary64) (*.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64)))
(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) (*.f64 #s(literal 0 binary64) (sin.f64 im)))
(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) (*.f64 #s(literal 0 binary64) (sin.f64 im)))
(sin.f64 (neg.f64 (neg.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(sin.f64 (neg.f64 (+.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))
(sin.f64 (neg.f64 (+.f64 (+.f64 (neg.f64 im) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) im) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (+.f64 (neg.f64 im) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) im) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(sin.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (+.f64 (neg.f64 im) (PI.f64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) im) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im))))
(sin.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im) (PI.f64))))
(sin.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im) (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im))
(-.f64 (.f64 (sin.f64 (/.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 (.f64 (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im) (PI.f64))) #s(literal 0 binary64)) (.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64)))
(-.f64 (.f64 (neg.f64 (cos.f64 im)) #s(literal -1 binary64)) (.f64 (sin.f64 (+.f64 (neg.f64 im) (PI.f64))) #s(literal 0 binary64)))
(-.f64 (.f64 (neg.f64 (cos.f64 im)) #s(literal -1 binary64)) (.f64 (sin.f64 (+.f64 (PI.f64) im)) #s(literal 0 binary64)))
(-.f64 (.f64 (neg.f64 (cos.f64 im)) #s(literal -1 binary64)) (.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64)))
(-.f64 (.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64)) (.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64)))
(-.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (+.f64 (+.f64 (neg.f64 im) (PI.f64)) (PI.f64))))
(cos.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) im) (PI.f64))))
(cos.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))
(cos.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 (neg.f64 (+.f64 (neg.f64 im) (PI.f64))) (PI.f64)))
(cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) im)) (PI.f64)))
(cos.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im) (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(cos.f64 (+.f64 (neg.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (+.f64 (neg.f64 im) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) im) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (neg.f64 im) (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (PI.f64) im) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(+.f64 (.f64 (neg.f64 (cos.f64 im)) #s(literal -1 binary64)) (.f64 (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im) (PI.f64))) #s(literal 0 binary64)))
(+.f64 (.f64 (neg.f64 (cos.f64 im)) #s(literal -1 binary64)) (.f64 (neg.f64 (sin.f64 im)) #s(literal 0 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 (/.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)))
(+.f64 (.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64)) (.f64 #s(literal 1 binary64) (cos.f64 im)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im))))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(literal 0 binary64) (sin.f64 im)))
(+.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (.f64 #s(literal 1 binary64) (cos.f64 im)))
(.f64 (/.f64 #s(literal 1 binary64) (+.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 (pow.f64 (exp.f64 re) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 re) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re)))
(pow.f64 (exp.f64 re) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (pow.f64 (cosh.f64 re) #s(literal 2 binary64))) (-.f64 (sinh.f64 (neg.f64 re)) (cosh.f64 re)))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 re)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 re)) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))
(/.f64 (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 (sinh.f64 re) (exp.f64 re) (pow.f64 (cosh.f64 re) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (neg.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 (cosh.f64 re) (sinh.f64 (neg.f64 re))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 re))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 re))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) (.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (sinh.f64 re) (exp.f64 re) (pow.f64 (cosh.f64 re) #s(literal 2 binary64))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (pow.f64 (cosh.f64 re) #s(literal 3 binary64))) (fma.f64 (sinh.f64 re) (sinh.f64 re) (-.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (*.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re))))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 re)))
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(fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 re #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64))))) (pow.f64 (fma.f64 re (-.f64 (.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 3/2 binary64)) (fma.f64 re (-.f64 (.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 re (-.f64 (.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 re (-.f64 (.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 re (-.f64 (.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (/.f64 #s(literal 1/8 binary64) (fma.f64 re (-.f64 (.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 re (-.f64 (.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) re) (fma.f64 re (-.f64 (.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 re (-.f64 (.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) re) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) (fma.f64 re (-.f64 (.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 re (-.f64 (.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(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) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1 binary64))))
(-.f64 (.f64 (.f64 #s(literal 1/4 binary64) re) (/.f64 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 (pow.f64 (fma.f64 re (-.f64 (.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64)) (fma.f64 re (-.f64 (*.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64)) (fma.f64 re (-.f64 (.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 re (-.f64 (*.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #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 (exp.f64 (log.f64 im)) (exp.f64 (log.f64 im)))
(.f64 (neg.f64 im) (.f64 (neg.f64 im) #s(literal 1 binary64)))
(*.f64 (neg.f64 im) (neg.f64 im))
(.f64 (.f64 im im) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 im im))
(.f64 im (.f64 im #s(literal 1 binary64)))
(*.f64 im im)
(pow.f64 (exp.f64 (log.f64 im)) #s(literal 2 binary64))
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(neg.f64 (.f64 (.f64 (neg.f64 im) im) #s(literal 1 binary64)))
(neg.f64 (*.f64 (neg.f64 im) im))
(sqrt.f64 (pow.f64 im #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 im) im))
(fabs.f64 (*.f64 im im))
(exp.f64 (*.f64 (log.f64 (neg.f64 im)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (neg.f64 im)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (neg.f64 im)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 im) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 im) #s(literal 2 binary64))))

eval111.0ms (1.7%)

Memory: -6.2MiB live, 196.7MiB allocated
Compiler: Compiled 17 473 to 2 211 computations (87.3% saved)

prune21.0ms (0.3%)

Memory

-20.1MiB live, 55.3MiB allocated

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	713	9	722
Fresh	1	1	2
Picked	2	3	5
Done	0	1	1
Total	716	14	730

Accuracy

100.0%

Counts

730 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.3%	(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
	58.0%	(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	70.8%	(*.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))
✓	67.0%	(*.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))
	42.6%	(.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 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
	41.2%	(.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))))
✓	58.0%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
▶	37.8%	(.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))))
	35.7%	(.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))))
▶	72.0%	#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re))
✓	57.1%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
▶	36.1%	#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))))
▶	35.1%	#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 381 to 280 computations (26.5% saved)

simplify148.0ms (2.2%)

Memory

32.9MiB live, 155.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	262
0	53	262
1	92	262
2	198	261
3	495	261
4	1294	261
5	7065	261
0	8571	261

Stop Event

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

Calls

Call 1

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

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

localize104.0ms (1.6%)

Memory

-7.3MiB live, 146.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 re)
accuracy	15.00781266237111	#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re))
accuracy	0.02734375	(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	0.372887543619612	(.f64 #s(literal 1/24 binary64) (.f64 im im))
accuracy	15.831771521537206	#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
accuracy	23.94845040659034	#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	0.02734375	(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	0.372887543619612	(.f64 #s(literal 1/24 binary64) (.f64 im im))
accuracy	16.12377678758706	#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	23.94845040659034	#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	(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
accuracy	0.0	(*.f64 im im)
accuracy	16.12377678758706	#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	24.038298741839373	#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	0.0234375	(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))
accuracy	0.03125	(*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re)
accuracy	0.06640625	(fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))
accuracy	4.97190115315565	#s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))

Samples

73.0ms	209×	0	valid
12.0ms	46×	0	exit
1.0ms	1×	5	exit

Compiler

Compiled 165 to 29 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 30.0ms (50% of total)

const: 7.0ms (11.7% of total)

ival-cos: 6.0ms (10% of total)

ival-add: 6.0ms (10% of total)

ival-exp: 4.0ms (6.7% of total)

ival-neg: 3.0ms (5% of total)

ival-sub: 2.0ms (3.3% of total)

ival-div: 1.0ms (1.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory

-21.3MiB live, 16.2MiB allocated

Counts

20 → 57

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	re	@	0	((/ (cos im) (exp (neg re))) (cos im) (exp (neg re)) (+ (* (- (* (+ (* -1/6 re) 1/2) re) 1) re) 1) (* (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) (/ (cos im) (exp (neg re))) (exp re) (+ (* -1/6 re) 1/2) (* (+ (* -1/6 re) 1/2) re) (* 1/24 (* im im)))
2.0ms	im	@	inf	((/ (cos im) (exp (neg re))) (cos im) (exp (neg re)) (+ (* (- (* (+ (* -1/6 re) 1/2) re) 1) re) 1) (* (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) (/ (cos im) (exp (neg re))) (exp re) (+ (* -1/6 re) 1/2) (* (+ (* -1/6 re) 1/2) re) (* 1/24 (* im im)))
1.0ms	im	@	-inf	((/ (cos im) (exp (neg re))) (cos im) (exp (neg re)) (+ (* (- (* (+ (* -1/6 re) 1/2) re) 1) re) 1) (* (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) (/ (cos im) (exp (neg re))) (exp re) (+ (* -1/6 re) 1/2) (* (+ (* -1/6 re) 1/2) re) (* 1/24 (* im im)))
1.0ms	re	@	-inf	((/ (cos im) (exp (neg re))) (cos im) (exp (neg re)) (+ (* (- (* (+ (* -1/6 re) 1/2) re) 1) re) 1) (* (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) (/ (cos im) (exp (neg re))) (exp re) (+ (* -1/6 re) 1/2) (* (+ (* -1/6 re) 1/2) re) (* 1/24 (* im im)))
1.0ms	re	@	inf	((/ (cos im) (exp (neg re))) (cos im) (exp (neg re)) (+ (* (- (* (+ (* -1/6 re) 1/2) re) 1) re) 1) (* (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) (/ (cos im) (exp (neg re))) (exp re) (+ (* -1/6 re) 1/2) (* (+ (* -1/6 re) 1/2) re) (* 1/24 (* im im)))

simplify123.0ms (1.8%)

Memory

14.0MiB live, 171.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	170	570
1	550	518
2	2013	500
3	7016	498
0	8141	460

Stop Event

1×	iter limit
1×	node limit

Counts

57 → 56

Calls

Call 1

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

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

rewrite277.0ms (4.1%)

Memory

10.7MiB live, 261.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	191
0	53	191
1	176	191
2	1166	191
0	8312	191

Stop Event

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

Counts

20 → 324

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 im)))) (neg.f64 (neg.f64 (neg.f64 #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (cos.f64 im))) (neg.f64 (neg.f64 #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (cos.f64 im))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
(/.f64 (neg.f64 (cos.f64 im)) (neg.f64 #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))))
(/.f64 (cos.f64 im) (neg.f64 (neg.f64 #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))))
(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (cos.f64 im)) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))))
(+.f64 (/.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))) (/.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 (sin.f64 im) #s(literal 0 binary64))) (.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) (.f64 (cos.f64 im) #s(literal 1 binary64)))) (-.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 (cos.f64 im) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 (sin.f64 im) #s(literal 0 binary64)) (-.f64 (.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) (.f64 (cos.f64 im) #s(literal 1 binary64))) (.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 (cos.f64 im) #s(literal 1 binary64))))))
(fma.f64 (sin.f64 (neg.f64 im)) #s(literal 0 binary64) (*.f64 (cos.f64 im) #s(literal 1 binary64)))
(fma.f64 (sin.f64 im) #s(literal 0 binary64) (*.f64 (cos.f64 im) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 #s(literal 0 binary64) (sin.f64 im)))
(sin.f64 (+.f64 (neg.f64 (neg.f64 im)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im))
(-.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 im))))
(cos.f64 (neg.f64 (neg.f64 im)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(+.f64 (.f64 (sin.f64 (neg.f64 im)) #s(literal 0 binary64)) (.f64 (cos.f64 im) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(literal 0 binary64) (sin.f64 im)))
(+.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 (cos.f64 im) #s(literal 1 binary64)))
#s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 1 binary64))) (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 1 binary64)))) (.f64 (pow.f64 (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 1 binary64))) (pow.f64 (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re))) (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re)))) (.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re)) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re)) #s(literal -1 binary64)))) (-.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re))) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 1 binary64))) (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 1 binary64))) (fma.f64 (pow.f64 (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 1 binary64))) (pow.f64 (-.f64 (.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) (neg.f64 re)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re))) (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re))) (-.f64 (.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re)) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re)) #s(literal -1 binary64))) (.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re))) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re) #s(literal 1 binary64)))))
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(/.f64 (neg.f64 (.f64 re (-.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) re) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 re (fma.f64 #s(literal -1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal -1/12 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) re) (-.f64 (*.f64 #s(literal -1/6 binary64) re) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) re) (fma.f64 #s(literal 1/36 binary64) (.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal -1/12 binary64)))))
(/.f64 (.f64 re (-.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) re) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 #s(literal -1/6 binary64) re) #s(literal 1/2 binary64)))
(/.f64 (.f64 re (fma.f64 #s(literal -1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/36 binary64) (.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal -1/12 binary64)))))
(fma.f64 (.f64 #s(literal -1/6 binary64) re) re (.f64 #s(literal 1/2 binary64) re))
(fma.f64 #s(literal 1/2 binary64) re (.f64 (.f64 #s(literal -1/6 binary64) re) re))
(fma.f64 re (.f64 #s(literal -1/6 binary64) re) (.f64 re #s(literal 1/2 binary64)))
(fma.f64 re #s(literal 1/2 binary64) (.f64 re (.f64 #s(literal -1/6 binary64) re)))
(-.f64 (.f64 (.f64 #s(literal -1/6 binary64) re) re) (*.f64 #s(literal -1/2 binary64) re))
(-.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 (*.f64 #s(literal 1/6 binary64) re) re))
(-.f64 (.f64 re (.f64 #s(literal -1/6 binary64) re)) (*.f64 (neg.f64 re) #s(literal 1/2 binary64)))
(-.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 (neg.f64 re) (*.f64 #s(literal -1/6 binary64) re)))
(+.f64 (.f64 (.f64 #s(literal -1/6 binary64) re) re) (*.f64 #s(literal 1/2 binary64) re))
(+.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 (*.f64 #s(literal -1/6 binary64) re) re))
(+.f64 (.f64 re (.f64 #s(literal -1/6 binary64) re)) (*.f64 re #s(literal 1/2 binary64)))
(+.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 re (*.f64 #s(literal -1/6 binary64) re)))
(.f64 (fabs.f64 (.f64 (neg.f64 im) #s(literal 1/24 binary64))) im)
(.f64 (fabs.f64 (.f64 #s(literal 1/24 binary64) im)) im)
(.f64 (.f64 (neg.f64 im) #s(literal 1/24 binary64)) (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))
(neg.f64 (.f64 #s(literal -1/24 binary64) (.f64 im im)))
(sqrt.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))))
(fabs.f64 (.f64 #s(literal -1/24 binary64) (.f64 im im)))
(fabs.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)))

eval108.0ms (1.6%)

Memory: -4.8MiB live, 147.7MiB allocated
Compiler: Compiled 19 492 to 2 162 computations (88.9% saved)

prune26.0ms (0.4%)

Memory

-8.9MiB live, 65.3MiB allocated

Pruning

20 alts after pruning (11 fresh and 9 done)

	Pruned	Kept	Total
New	527	6	533
Fresh	0	5	5
Picked	0	5	5
Done	0	4	4
Total	527	20	547

Accuracy

100.0%

Counts

547 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.3%	(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
	58.0%	(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
▶	44.7%	(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	70.8%	(*.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))
	44.1%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
✓	67.0%	(*.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))
	42.6%	(.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 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
	41.2%	(.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))))
	42.5%	(.f64 #s(approx (exp re) (/.f64 (-.f64 (.f64 re re) #s(literal 1 binary64)) (-.f64 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))))
✓	58.0%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
✓	37.8%	(.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))))
	35.7%	(.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))))
✓	72.0%	#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re))
✓	57.1%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
▶	36.1%	#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))))
✓	36.1%	#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))))
✓	35.1%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	26.4%	#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))))
▶	10.7%	#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 602 to 428 computations (28.9% saved)

simplify152.0ms (2.3%)

Memory

31.4MiB live, 153.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	382
0	76	382
1	125	382
2	258	382
3	697	382
4	1875	382
0	8291	382

Stop Event

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

Calls

Call 1

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

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

localize181.0ms (2.7%)

Memory

-11.0MiB live, 184.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.03125	(*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re)
accuracy	0.06640625	(fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))
accuracy	4.97190115315565	#s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy	24.038298741839373	#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	0.3871315837541088	(/.f64 #s(literal 1 binary64) (*.f64 im im))
accuracy	11.40540183194804	(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) #s(literal 1/2 binary64)) im)
accuracy	16.12377678758706	#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))))
accuracy	24.038298741839373	#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)))
accuracy	0.140625	(.f64 (.f64 #s(literal 1/24 binary64) im) im)
accuracy	0.3125	(*.f64 #s(literal 1/24 binary64) im)
accuracy	16.12377678758706	#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	23.94845040659034	#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	16.12377678758706	#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	24.038298741839373	#s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))
accuracy	27.14478262928933	#s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
accuracy	0.0234375	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
accuracy	0.02734375	(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
accuracy	0.06640625	(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy	15.738706155471313	#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)))

Samples

81.0ms	209×	0	valid
28.0ms	46×	0	exit
1.0ms	1×	5	exit

Compiler

Compiled 222 to 40 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-mult: 35.0ms (39.6% of total)

ival-div: 20.0ms (22.6% of total)

const: 10.0ms (11.3% of total)

ival-add: 8.0ms (9.1% of total)

ival-cos: 6.0ms (6.8% of total)

ival-exp: 4.0ms (4.5% of total)

ival-sub: 4.0ms (4.5% of total)

ival-neg: 1.0ms (1.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory

16.7MiB live, 16.7MiB allocated

Counts

28 → 69

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	im	@	-inf	((* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (cos im)) (cos im) (+ (* (* 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)) (cos im) (+ (* (* im im) -1/2) 1) (* (* (- (/ 1 (* im im)) 1/2) im) im) (/ (cos im) (exp (neg re))) (cos im) (+ (* (* im im) -1/2) 1) (* im im) (+ (* 1/6 re) 1/2) (* 1/24 im) (* (* 1/24 im) im) (* (- (/ 1 (* im im)) 1/2) im) (/ 1 (* im im)) (exp (neg re)) (+ (* -1/6 re) 1/2) (* (+ (* -1/6 re) 1/2) re))
2.0ms	im	@	inf	((* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (cos im)) (cos im) (+ (* (* 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)) (cos im) (+ (* (* im im) -1/2) 1) (* (* (- (/ 1 (* im im)) 1/2) im) im) (/ (cos im) (exp (neg re))) (cos im) (+ (* (* im im) -1/2) 1) (* im im) (+ (* 1/6 re) 1/2) (* 1/24 im) (* (* 1/24 im) im) (* (- (/ 1 (* im im)) 1/2) im) (/ 1 (* im im)) (exp (neg re)) (+ (* -1/6 re) 1/2) (* (+ (* -1/6 re) 1/2) re))
2.0ms	re	@	inf	((* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (cos im)) (cos im) (+ (* (* 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)) (cos im) (+ (* (* im im) -1/2) 1) (* (* (- (/ 1 (* im im)) 1/2) im) im) (/ (cos im) (exp (neg re))) (cos im) (+ (* (* im im) -1/2) 1) (* im im) (+ (* 1/6 re) 1/2) (* 1/24 im) (* (* 1/24 im) im) (* (- (/ 1 (* im im)) 1/2) im) (/ 1 (* im im)) (exp (neg re)) (+ (* -1/6 re) 1/2) (* (+ (* -1/6 re) 1/2) re))
2.0ms	im	@	0	((* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (cos im)) (cos im) (+ (* (* 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)) (cos im) (+ (* (* im im) -1/2) 1) (* (* (- (/ 1 (* im im)) 1/2) im) im) (/ (cos im) (exp (neg re))) (cos im) (+ (* (* im im) -1/2) 1) (* im im) (+ (* 1/6 re) 1/2) (* 1/24 im) (* (* 1/24 im) im) (* (- (/ 1 (* im im)) 1/2) im) (/ 1 (* im im)) (exp (neg re)) (+ (* -1/6 re) 1/2) (* (+ (* -1/6 re) 1/2) re))
1.0ms	re	@	-inf	((* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (cos im)) (cos im) (+ (* (* 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)) (cos im) (+ (* (* im im) -1/2) 1) (* (* (- (/ 1 (* im im)) 1/2) im) im) (/ (cos im) (exp (neg re))) (cos im) (+ (* (* im im) -1/2) 1) (* im im) (+ (* 1/6 re) 1/2) (* 1/24 im) (* (* 1/24 im) im) (* (- (/ 1 (* im im)) 1/2) im) (/ 1 (* im im)) (exp (neg re)) (+ (* -1/6 re) 1/2) (* (+ (* -1/6 re) 1/2) re))

simplify191.0ms (2.9%)

Memory

-48.4MiB live, 99.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	178	610
1	575	587
2	2042	572
3	7318	569
0	8102	517

Stop Event

1×	iter limit
1×	node limit

Counts

69 → 69

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

rewrite225.0ms (3.4%)

Memory

33.1MiB live, 218.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	325
0	76	325
1	242	313
2	1652	313
0	8216	313

Stop Event

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

Counts

28 → 370

Calls

Call 1

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

Outputs
(*.f64 (cos.f64 im) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 1 binary64))) (/.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 1 binary64)))) (.f64 (pow.f64 (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (-.f64 (.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))) (pow.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) (.f64 (neg.f64 re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))))
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(fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))
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(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) re) #s(literal 3 binary64)) (fma.f64 (.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 re #s(literal -1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal -1/12 binary64))))))
(+.f64 (*.f64 #s(literal -1/6 binary64) re) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) re))
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(.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) (.f64 re #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re)
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re))
(.f64 re (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 re (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/6 binary64) re) re) (.f64 (.f64 #s(literal -1/6 binary64) re) re)) (.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 #s(literal 1/2 binary64) re))) (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) re) re) (*.f64 #s(literal 1/2 binary64) re)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 #s(literal 1/2 binary64) re)) (.f64 (.f64 (.f64 #s(literal -1/6 binary64) re) re) (.f64 (.f64 #s(literal -1/6 binary64) re) re))) (-.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 (*.f64 #s(literal -1/6 binary64) re) re)))
(/.f64 (-.f64 (.f64 (.f64 re (.f64 #s(literal -1/6 binary64) re)) (.f64 re (.f64 #s(literal -1/6 binary64) re))) (.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 re #s(literal 1/2 binary64)))) (-.f64 (.f64 re (.f64 #s(literal -1/6 binary64) re)) (*.f64 re #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 re #s(literal 1/2 binary64))) (.f64 (.f64 re (.f64 #s(literal -1/6 binary64) re)) (.f64 re (.f64 #s(literal -1/6 binary64) re)))) (-.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 re (*.f64 #s(literal -1/6 binary64) re))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/6 binary64) re) re) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) re) re) (.f64 (.f64 #s(literal -1/6 binary64) re) re) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 #s(literal 1/2 binary64) re)) (.f64 (.f64 (.f64 #s(literal -1/6 binary64) re) re) (.f64 #s(literal 1/2 binary64) re)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal -1/6 binary64) re) re) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 #s(literal 1/2 binary64) re) (-.f64 (.f64 (.f64 (.f64 #s(literal -1/6 binary64) re) re) (.f64 (.f64 #s(literal -1/6 binary64) re) re)) (.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 (.f64 #s(literal -1/6 binary64) re) re)))))
(/.f64 (+.f64 (pow.f64 (.f64 re (.f64 #s(literal -1/6 binary64) re)) #s(literal 3 binary64)) (pow.f64 (.f64 re #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 re (.f64 #s(literal -1/6 binary64) re)) (.f64 re (.f64 #s(literal -1/6 binary64) re)) (-.f64 (.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 re #s(literal 1/2 binary64))) (.f64 (.f64 re (.f64 #s(literal -1/6 binary64) re)) (.f64 re #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 re #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 re (.f64 #s(literal -1/6 binary64) re)) #s(literal 3 binary64))) (fma.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 re #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 re (.f64 #s(literal -1/6 binary64) re)) (.f64 re (.f64 #s(literal -1/6 binary64) re))) (.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 re (.f64 #s(literal -1/6 binary64) re))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) re)) (neg.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) re) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) re)) (neg.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (.f64 re (-.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) re) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 re (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal -1/12 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) re) (-.f64 (*.f64 #s(literal -1/6 binary64) re) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) re) (fma.f64 (.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal -1/12 binary64)))))
(/.f64 (.f64 re (-.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) re) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 #s(literal -1/6 binary64) re) #s(literal 1/2 binary64)))
(/.f64 (.f64 re (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal -1/12 binary64)))))
(fma.f64 (.f64 #s(literal -1/6 binary64) re) re (.f64 #s(literal 1/2 binary64) re))
(fma.f64 #s(literal 1/2 binary64) re (.f64 (.f64 #s(literal -1/6 binary64) re) re))
(fma.f64 re (.f64 #s(literal -1/6 binary64) re) (.f64 re #s(literal 1/2 binary64)))
(fma.f64 re #s(literal 1/2 binary64) (.f64 re (.f64 #s(literal -1/6 binary64) re)))
(+.f64 (.f64 (.f64 #s(literal -1/6 binary64) re) re) (*.f64 #s(literal 1/2 binary64) re))
(+.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 (*.f64 #s(literal -1/6 binary64) re) re))
(+.f64 (.f64 re (.f64 #s(literal -1/6 binary64) re)) (*.f64 re #s(literal 1/2 binary64)))
(+.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 re (*.f64 #s(literal -1/6 binary64) re)))

eval116.0ms (1.7%)

Memory: -13.6MiB live, 144.7MiB allocated
Compiler: Compiled 18 751 to 2 651 computations (85.9% saved)

prune64.0ms (1%)

Memory

-6.8MiB live, 74.9MiB allocated

Pruning

23 alts after pruning (11 fresh and 12 done)

	Pruned	Kept	Total
New	480	6	486
Fresh	1	5	6
Picked	2	3	5
Done	0	9	9
Total	483	23	506

Accuracy

100.0%

Counts

506 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.3%	(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
	58.0%	(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
	44.6%	(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/6 re) 1/2) (*.f64 #s(literal -1/6 binary64) re)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
	41.8%	(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
	44.6%	(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 #s(approx ( (+ (* -1/6 re) 1/2) re) (.f64 (.f64 re re) #s(literal -1/6 binary64))) #s(literal 1 binary64)) re #s(literal 1 binary64))))
	35.8%	(/.f64 #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	70.8%	(*.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))
	44.1%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
✓	67.0%	(*.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))
	42.6%	(.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 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
	41.2%	(.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))))
✓	58.0%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
✓	37.8%	(.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))))
	35.7%	(.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))))
✓	72.0%	#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re))
✓	57.1%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
✓	36.1%	#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))))
✓	35.1%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	32.7%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (neg.f64 im) im) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64))) (.f64 (.f64 (neg.f64 im) im) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 im) im) (-.f64 (.f64 (*.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64)))))))
✓	26.4%	#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))))
✓	10.7%	#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)))))
	33.9%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 #s(approx ( (- (/ 1 (* im im)) 1/2) im) (/.f64 #s(literal 1 binary64) im)) im))))

Compiler

Compiled 1 052 to 454 computations (56.8% saved)

regimes50.0ms (0.7%)

Memory

4.8MiB live, 114.2MiB allocated

Counts

29 → 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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 #s(approx ( (- (/ 1 (* im im)) 1/2) im) (/.f64 #s(literal 1 binary64) 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) (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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #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 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) re #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 (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 #s(approx ( (+ (* -1/6 re) 1/2) re) (.f64 (.f64 re re) #s(literal -1/6 binary64))) #s(literal 1 binary64)) re #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/6 re) 1/2) (*.f64 #s(literal -1/6 binary64) re)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.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 re re) #s(literal 1 binary64)) (-.f64 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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (neg.f64 im) im) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64))) (.f64 (.f64 (neg.f64 im) im) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 im) im) (-.f64 (.f64 (*.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64)))))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
(/.f64 (cos.f64 im) #s(approx (exp (neg 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))))
(*.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))))
(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 (exp.f64 re) (cos.f64 im))
(/.f64 (cos.f64 im) (exp.f64 (neg.f64 re)))

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

Calls

5 calls:

12.0ms	(cos.f64 im)
11.0ms	re
11.0ms	im
8.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
7.0ms	(exp.f64 re)

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)

regimes80.0ms (1.2%)

Memory

-9.0MiB live, 55.4MiB allocated

Counts

27 → 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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 #s(approx ( (- (/ 1 (* im im)) 1/2) im) (/.f64 #s(literal 1 binary64) 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) (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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #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 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) re #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 (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 #s(approx ( (+ (* -1/6 re) 1/2) re) (.f64 (.f64 re re) #s(literal -1/6 binary64))) #s(literal 1 binary64)) re #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/6 re) 1/2) (*.f64 #s(literal -1/6 binary64) re)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.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 re re) #s(literal 1 binary64)) (-.f64 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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (neg.f64 im) im) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64))) (.f64 (.f64 (neg.f64 im) im) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 im) im) (-.f64 (.f64 (*.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64)))))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
(/.f64 (cos.f64 im) #s(approx (exp (neg 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))))
(*.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))))
(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))

Outputs

#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re))

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

Calls

5 calls:

46.0ms	(exp.f64 re)
9.0ms	im
8.0ms	re
8.0ms	(cos.f64 im)
7.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
95.3%	2	`re`
88.0%	3	`im`
99.7%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`
95.3%	2	`(exp.f64 re)`
86.8%	2	`(cos.f64 im)`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes30.0ms (0.5%)

Memory

-8.3MiB live, 30.9MiB allocated

Counts

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

Calls

3 calls:

16.0ms	re
7.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
6.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
99.6%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`
96.9%	4	`re`
95.3%	3	`(exp.f64 re)`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes8.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated

Counts

23 → 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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 #s(approx ( (- (/ 1 (* im im)) 1/2) im) (/.f64 #s(literal 1 binary64) 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) (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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #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 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) re #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 (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 #s(approx ( (+ (* -1/6 re) 1/2) re) (.f64 (.f64 re re) #s(literal -1/6 binary64))) #s(literal 1 binary64)) re #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/6 re) 1/2) (*.f64 #s(literal -1/6 binary64) re)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.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 re re) #s(literal 1 binary64)) (-.f64 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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (neg.f64 im) im) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64))) (.f64 (.f64 (neg.f64 im) im) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 im) im) (-.f64 (.f64 (*.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64)))))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
(/.f64 (cos.f64 im) #s(approx (exp (neg 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))))

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

Calls

1 calls:

6.0ms

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

Results

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

Compiler

Compiled 5 to 5 computations (0% saved)

regimes13.0ms (0.2%)

Memory

-26.3MiB live, 12.4MiB allocated

Counts

21 → 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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 #s(approx ( (- (/ 1 (* im im)) 1/2) im) (/.f64 #s(literal 1 binary64) 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) (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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #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 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) re #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 (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 #s(approx ( (+ (* -1/6 re) 1/2) re) (.f64 (.f64 re re) #s(literal -1/6 binary64))) #s(literal 1 binary64)) re #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/6 re) 1/2) (*.f64 #s(literal -1/6 binary64) re)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.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 re re) #s(literal 1 binary64)) (-.f64 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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (neg.f64 im) im) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64))) (.f64 (.f64 (neg.f64 im) im) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 im) im) (-.f64 (.f64 (*.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64)))))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))

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

Calls

1 calls:

11.0ms

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

Results

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

Compiler

Compiled 5 to 5 computations (0% saved)

regimes7.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

20 → 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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 #s(approx ( (- (/ 1 (* im im)) 1/2) im) (/.f64 #s(literal 1 binary64) 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) (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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #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 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) re #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 (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 #s(approx ( (+ (* -1/6 re) 1/2) re) (.f64 (.f64 re re) #s(literal -1/6 binary64))) #s(literal 1 binary64)) re #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/6 re) 1/2) (*.f64 #s(literal -1/6 binary64) re)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.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 re re) #s(literal 1 binary64)) (-.f64 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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (neg.f64 im) im) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64))) (.f64 (.f64 (neg.f64 im) im) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 im) im) (-.f64 (.f64 (*.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64)))))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re))

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
99.1%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes32.0ms (0.5%)

Memory

18.6MiB live, 55.4MiB 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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 #s(approx ( (- (/ 1 (* im im)) 1/2) im) (/.f64 #s(literal 1 binary64) 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) (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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #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 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) re #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 (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 #s(approx ( (+ (* -1/6 re) 1/2) re) (.f64 (.f64 re re) #s(literal -1/6 binary64))) #s(literal 1 binary64)) re #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/6 re) 1/2) (*.f64 #s(literal -1/6 binary64) re)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.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 re re) #s(literal 1 binary64)) (-.f64 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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (neg.f64 im) im) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64))) (.f64 (.f64 (neg.f64 im) im) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 im) im) (-.f64 (.f64 (*.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64)))))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))

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

Calls

5 calls:

8.0ms	re
6.0ms	im
6.0ms	(cos.f64 im)
5.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
5.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
67.6%	3	`im`
65.9%	2	`(cos.f64 im)`
80.9%	3	`(exp.f64 re)`
83.0%	4	`re`
85.4%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes69.0ms (1%)

Memory

-22.3MiB live, 56.4MiB 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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 #s(approx ( (- (/ 1 (* im im)) 1/2) im) (/.f64 #s(literal 1 binary64) 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) (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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #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 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) re #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 (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 #s(approx ( (+ (* -1/6 re) 1/2) re) (.f64 (.f64 re re) #s(literal -1/6 binary64))) #s(literal 1 binary64)) re #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/6 re) 1/2) (*.f64 #s(literal -1/6 binary64) re)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.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 re re) #s(literal 1 binary64)) (-.f64 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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (neg.f64 im) im) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64))) (.f64 (.f64 (neg.f64 im) im) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 im) im) (-.f64 (.f64 (*.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 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))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 #s(approx ( (- (/ 1 (* im im)) 1/2) im) (/.f64 #s(literal 1 binary64) im)) im))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))

Calls

5 calls:

29.0ms	(cos.f64 im)
22.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
6.0ms	im
6.0ms	re
5.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
51.2%	3	`(cos.f64 im)`
51.1%	4	`im`
57.8%	3	`(exp.f64 re)`
60.0%	4	`re`
63.4%	4	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes6.0ms (0.1%)

Memory

16.9MiB live, 16.9MiB allocated

Counts

15 → 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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 #s(approx ( (- (/ 1 (* im im)) 1/2) im) (/.f64 #s(literal 1 binary64) 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) (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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #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 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) re #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 (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 #s(approx ( (+ (* -1/6 re) 1/2) re) (.f64 (.f64 re re) #s(literal -1/6 binary64))) #s(literal 1 binary64)) re #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/6 re) 1/2) (*.f64 #s(literal -1/6 binary64) re)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))

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

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
61.9%	4	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes7.0ms (0.1%)

Memory

-22.4MiB live, 14.9MiB allocated

Counts

14 → 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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 #s(approx ( (- (/ 1 (* im im)) 1/2) im) (/.f64 #s(literal 1 binary64) 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) (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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #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 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) re #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 (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 #s(approx ( (+ (* -1/6 re) 1/2) re) (.f64 (.f64 re re) #s(literal -1/6 binary64))) #s(literal 1 binary64)) re #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/6 re) 1/2) (*.f64 #s(literal -1/6 binary64) re)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))

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

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
61.9%	4	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes12.0ms (0.2%)

Memory

29.3MiB live, 29.3MiB allocated

Counts

12 → 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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 #s(approx ( (- (/ 1 (* im im)) 1/2) im) (/.f64 #s(literal 1 binary64) 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) (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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #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 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) re #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))))

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

3 calls:

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

Results

Accuracy	Segments	Branch
51.9%	3	`(exp.f64 re)`
55.5%	4	`re`
57.4%	4	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes11.0ms (0.2%)

Memory

-15.1MiB live, 21.7MiB allocated

Counts

11 → 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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 #s(approx ( (- (/ 1 (* im im)) 1/2) im) (/.f64 #s(literal 1 binary64) 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) (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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #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 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))

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

Calls

2 calls:

6.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
4.0ms	re

Results

Accuracy	Segments	Branch
54.2%	4	`re`
52.6%	4	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes22.0ms (0.3%)

Memory

4.2MiB live, 50.3MiB allocated

Counts

10 → 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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 #s(approx ( (- (/ 1 (* im im)) 1/2) im) (/.f64 #s(literal 1 binary64) 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) (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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #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 #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 (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))

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

(*.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))))

Calls

5 calls:

7.0ms	(cos.f64 im)
4.0ms	im
4.0ms	re
3.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
3.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
44.4%	3	`im`
49.4%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`
47.3%	3	`(cos.f64 im)`
48.3%	3	`(exp.f64 re)`
48.3%	3	`re`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes5.0ms (0.1%)

Memory

-23.8MiB 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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 #s(approx ( (- (/ 1 (* im im)) 1/2) im) (/.f64 #s(literal 1 binary64) 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) (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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #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 (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
48.6%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes8.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB 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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 #s(approx ( (- (/ 1 (* im im)) 1/2) im) (/.f64 #s(literal 1 binary64) 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) (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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
43.0%	3	`(exp.f64 re)`
43.0%	3	`re`
47.6%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes6.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
35.7%	1	`im`
37.7%	2	`(cos.f64 im)`
42.6%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes19.0ms (0.3%)

Memory

-29.1MiB live, 9.1MiB 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

3 calls:

16.0ms	(exp.f64 re)
1.0ms	re
1.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
40.1%	2	`(exp.f64 re)`
40.1%	2	`re`
40.1%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes6.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB 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	re
1.0ms	im
1.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms	(cos.f64 im)
1.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
10.7%	1	`im`
10.7%	1	`(cos.f64 im)`
10.7%	1	`(exp.f64 re)`
10.7%	1	`re`
10.7%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.8589978832287916

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.999999999999999	1.0
0.0ms	0.0	0.021818217726283562
0.0ms	-0.06942624839462017	0.0
0.0ms	-inf	-0.9992756600063074

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.999999999999999	1.0
0.0ms	0.0	0.021818217726283562
0.0ms	-0.06942624839462017	0.0
0.0ms	-inf	-0.9992756600063074

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.999999999999999	1.0
0.0ms	0.0	0.021818217726283562
0.0ms	-0.06942624839462017	0.0
0.0ms	-inf	-0.9992756600063074

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.999999999999999	1.0
0.0ms	0.0	0.021818217726283562
0.0ms	-0.06942624839462017	0.0
0.0ms	-inf	-0.9992756600063074

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999810909886532	0.9999985115273784
0.0ms	0.0	0.021818217726283562
0.0ms	-0.06942624839462017	0.0
0.0ms	-inf	-0.9992756600063074

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.9992718497974732	0.9999810909886532
0.0ms	0.0	0.021818217726283562
0.0ms	-inf	-0.9992756600063074

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.9992718497974732	0.9999810909886532
0.0ms	0.0	0.021818217726283562
0.0ms	-inf	-0.9992756600063074

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.9992718497974732	0.9999810909886532
0.0ms	0.0	0.021818217726283562
0.0ms	-inf	-0.9992756600063074

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.9992718497974732	0.9999810909886532
0.0ms	0.0	0.021818217726283562
0.0ms	-0.977348651434809	-0.9551770012385454

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch67.0ms (1%)

Memory

5.4MiB live, 82.5MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
18.0ms	3.330023077756449e-24	5.379952620871546e-22
14.0ms	-40764.459514815244	-0.1519888212281687
31.0ms	-1.7911944701246945e+151	-5.407698446329885e+143

Samples

30.0ms

400×

valid

Compiler

Compiled 1 254 to 926 computations (26.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-cos: 8.0ms (55.7% of total)

ival-exp: 4.0ms (27.8% of total)

ival-mult: 2.0ms (13.9% of total)

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

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

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9992718497974732	0.9999810909886532
0.0ms	0.0	0.021818217726283562

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9992718497974732	0.9999810909886532
0.0ms	0.0	0.021818217726283562

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9992718497974732	0.9999810909886532
0.0ms	0.0	0.021818217726283562

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.021818217726283562

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.021818217726283562

Compiler

Compiled 8 to 10 computations (-25% saved)

simplify72.0ms (1.1%)

Memory

14.8MiB live, 122.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	147	1502
1	193	1495
2	279	1490
3	504	1490
4	1212	1490
5	7207	1490

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 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 -3602879701896397/72057594037927936 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007199254740983/9007199254740992 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 #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 -3602879701896397/72057594037927936 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007199254740983/9007199254740992 binary64)) (/.f64 (cos.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.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 -3602879701896397/72057594037927936 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007199254740983/9007199254740992 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.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 -3602879701896397/72057594037927936 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007199254740983/9007199254740992 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 #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 -3602879701896397/72057594037927936 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007109182748445/9007199254740992 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.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 -inf.0 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)) (/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4501347827556811/4503599627370496 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 #s(approx ( (- (/ 1 (* im im)) 1/2) im) (/.f64 #s(literal 1 binary64) im)) im)))) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.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 -inf.0 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)) (/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4501347827556811/4503599627370496 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 #s(approx ( (- (/ 1 (* im im)) 1/2) im) (/.f64 #s(literal 1 binary64) 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 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 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)) (/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 #s(approx ( (+ (* -1/6 re) 1/2) re) (.f64 (.f64 re re) #s(literal -1/6 binary64))) #s(literal 1 binary64)) re #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4501347827556811/4503599627370496 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 #s(approx ( (- (/ 1 (* im im)) 1/2) im) (/.f64 #s(literal 1 binary64) 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 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -1080863910568919/1125899906842624 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)) (/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4501347827556811/4503599627370496 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 #s(approx ( (- (/ 1 (* im im)) 1/2) im) (/.f64 #s(literal 1 binary64) 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 -17500000000000001390864903219720420389673643979541347968993615810077145132103598256103528970103938059051031499846548302020911880678319661238762904485888 binary64)) (/.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp (neg re)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))) (if (<=.f64 re #s(literal -510 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))))) (if (<=.f64 re #s(literal 2764794231232625/5316911983139663491615228241121378304 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 #s(approx ( (- (/ 1 (* im im)) 1/2) im) (/.f64 #s(literal 1 binary64) im)) im)))) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4501347827556811/4503599627370496 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 #s(approx ( (- (/ 1 (* im im)) 1/2) im) (/.f64 #s(literal 1 binary64) im)) im)))) (.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))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4501347827556811/4503599627370496 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 #s(approx ( (- (/ 1 (* im im)) 1/2) im) (/.f64 #s(literal 1 binary64) im)) im)))) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4501347827556811/4503599627370496 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 #s(approx ( (- (/ 1 (* im im)) 1/2) im) (/.f64 #s(literal 1 binary64) 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))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 #s(approx ( (- (/ 1 (* im im)) 1/2) im) (/.f64 #s(literal 1 binary64) im)) im)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) #s(approx (* (exp re) (cos im)) #s(approx (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))
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(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4501347827556811/4503599627370496 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 #s(approx ( (- (/ 1 (* im im)) 1/2) im) (/.f64 #s(literal 1 binary64) im)) im)))) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (/ (cos im) (exp (neg 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)) #s(approx (/ (cos im) (exp (neg re))) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 #s(approx ( (- (/ 1 (* im im)) 1/2) im) (pow.f64 im #s(literal -1 binary64))) im)))) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4501347827556811/4503599627370496 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 #s(approx ( (- (/ 1 (* im im)) 1/2) im) (/.f64 #s(literal 1 binary64) 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))))))
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(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 #s(approx ( (- (/ 1 (* im im)) 1/2) im) (/.f64 #s(literal 1 binary64) im)) im)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (/ (cos im) (exp (neg re))) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) #s(approx (/ (cos im) (exp (neg re))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 #s(approx ( (- (/ 1 (* im im)) 1/2) im) (pow.f64 im #s(literal -1 binary64))) im)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) #s(approx (* (exp re) (cos im)) #s(approx (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 (/ (cos im) (exp (neg re))) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) #s(approx (/ (cos im) (exp (neg re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (/ (cos im) (exp (neg re))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))

soundness1.5s (22.6%)

Memory

-49.4MiB live, 724.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	170	570
1	550	518
2	2013	500
3	7016	498
0	8141	460
0	130	416
1	444	371
2	1610	354
3	6138	342
0	8122	303
0	178	610
1	575	587
2	2042	572
3	7318	569
0	8102	517
0	64	175
1	237	164
2	882	160
3	3902	156
0	8046	136
0	5	9
0	8	9
1	19	9
2	88	9
3	649	9
0	8589	9

Stop Event

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

Compiler

Compiled 2 517 to 1 011 computations (59.8% saved)

preprocess154.0ms (2.3%)

Memory: 34.4MiB live, 188.3MiB allocated
Remove: (abs im)
Compiler: Compiled 3 078 to 340 computations (89% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample981.0ms (14.7%)

explain70.0ms (1%)

preprocess170.0ms (2.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify137.0ms (2.1%)

localize23.0ms (0.3%)

series3.0ms (0.1%)

simplify297.0ms (4.4%)

rewrite320.0ms (4.8%)

eval38.0ms (0.6%)

prune12.0ms (0.2%)

simplify140.0ms (2.1%)

localize56.0ms (0.8%)

series9.0ms (0.1%)

simplify124.0ms (1.9%)

rewrite227.0ms (3.4%)

eval111.0ms (1.7%)

prune21.0ms (0.3%)

simplify148.0ms (2.2%)

localize104.0ms (1.6%)

series16.0ms (0.2%)

simplify123.0ms (1.8%)

rewrite277.0ms (4.1%)

eval108.0ms (1.6%)

prune26.0ms (0.4%)

simplify152.0ms (2.3%)

localize181.0ms (2.7%)

series11.0ms (0.2%)

simplify191.0ms (2.9%)

rewrite225.0ms (3.4%)

eval116.0ms (1.7%)

prune64.0ms (1%)

regimes50.0ms (0.7%)

regimes80.0ms (1.2%)

regimes30.0ms (0.5%)

regimes8.0ms (0.1%)

regimes13.0ms (0.2%)

regimes7.0ms (0.1%)

regimes32.0ms (0.5%)

regimes69.0ms (1%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes12.0ms (0.2%)

regimes11.0ms (0.2%)

regimes22.0ms (0.3%)

regimes5.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes19.0ms (0.3%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch67.0ms (1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify72.0ms (1.1%)

soundness1.5s (22.6%)

preprocess154.0ms (2.3%)

end0.0ms (0%)

Profiling