Metrics for math.exp on complex, real part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

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)

sample818.0ms (10.9%)

Memory

16.8MiB live, 1 144.4MiB allocated; 305ms collecting garbage

Samples

551.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 367.0ms

ival-cos: 182.0ms (49.6% of total)

ival-exp: 101.0ms (27.6% of total)

ival-mult: 72.0ms (19.6% of total)

ival-true: 6.0ms (1.6% of total)

ival-assert: 3.0ms (0.8% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

explain90.0ms (1.2%)

Memory

15.4MiB live, 111.9MiB allocated; 14ms collecting garbage

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

59.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-cos: 39.0ms (83.3% of total)

ival-exp: 4.0ms (8.5% of total)

ival-mult: 3.0ms (6.4% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess578.0ms (7.7%)

Memory

-83.8MiB live, 294.4MiB allocated; 1.0s collecting garbage

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: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

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)

simplify165.0ms (2.2%)

Memory

-17.5MiB live, 174.0MiB allocated; 29ms collecting garbage

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

localize21.0ms (0.3%)

Memory

-4.5MiB live, 43.6MiB allocated; 2ms collecting garbage

Localize:

Found 3 expressions of interest:

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

Samples

17.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-cos: 7.0ms (67.4% of total)

ival-exp: 2.0ms (19.3% of total)

ival-mult: 1.0ms (9.6% of total)

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

adjust: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

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))

simplify387.0ms (5.1%)

Memory

-13.0MiB live, 267.5MiB allocated; 79ms collecting garbage

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))

rewrite176.0ms (2.3%)

Memory

-3.3MiB live, 288.8MiB allocated; 33ms collecting garbage

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))
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(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (exp.f64 re))) #s(literal -2 binary64))
(/.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))

eval52.0ms (0.7%)

Memory: 25.5MiB live, 71.7MiB allocated; 4ms collecting garbage
Compiler: Compiled 6 367 to 865 computations (86.4% saved)

prune36.0ms (0.5%)

Memory

-22.7MiB live, 24.0MiB allocated; 3ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	301	6	307
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	301	7	308

Accuracy

100.0%

Counts

308 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	60.0%	(.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))))
▶	64.2%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	68.0%	(*.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))
▶	63.5%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
▶	49.2%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
▶	48.2%	#s(approx (* (exp re) (cos im)) (cos.f64 im))

Compiler

Compiled 157 to 125 computations (20.4% saved)

simplify160.0ms (2.1%)

Memory

40.4MiB live, 217.4MiB allocated; 31ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
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	(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	28	167
0	50	167
1	85	167
2	187	167
3	496	167
4	1349	167
5	4333	167
0	8753	167

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)) (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 #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)) (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

localize147.0ms (2%)

Memory

-26.9MiB live, 162.3MiB allocated; 57ms collecting garbage

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	(*.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	0.00390625	(cos.f64 im)
accuracy	23.32829396991787	#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 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
accuracy	0.0	(*.f64 im im)
accuracy	0.0	(exp.f64 re)
accuracy	30.594636934498904	#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	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
accuracy	0.00390625	(cos.f64 im)
accuracy	32.50195283973297	#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
accuracy	0.00390625	(cos.f64 im)
accuracy	33.152251780597766	#s(approx (* (exp re) (cos im)) (cos.f64 im))
accuracy	0.03125	(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	0.0546875	(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
accuracy	0.19140625	(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy	20.451358876159716	#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

126.0ms

256×

valid

Compiler

Compiled 116 to 25 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-mult: 82.0ms (74.3% of total)

ival-add: 13.0ms (11.8% of total)

ival-cos: 9.0ms (8.2% of total)

const: 3.0ms (2.7% of total)

ival-exp: 2.0ms (1.8% 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)

series7.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated; 0ms collecting garbage

Counts

19 → 41

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

Calls

6 calls:

Time	Variable		Point	Expression
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) (* (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) (+ (* 1/6 re) 1/2) (* im im))
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) (* (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) (+ (* 1/6 re) 1/2) (* im im))
1.0ms	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) (* (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) (+ (* 1/6 re) 1/2) (* im im))
1.0ms	re	@	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) (* (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) (+ (* 1/6 re) 1/2) (* im im))
1.0ms	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) (* (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) (+ (* 1/6 re) 1/2) (* im im))

simplify191.0ms (2.5%)

Memory

20.6MiB live, 307.7MiB allocated; 42ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	358
1	387	341
2	1396	332
3	6874	331
0	8379	294

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

rewrite204.0ms (2.7%)

Memory

2.4MiB live, 277.8MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	144
0	50	144
1	164	144
2	1093	144
0	8209	144

Stop Event

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

Counts

19 → 331

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

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))
(fma.f64 (.f64 (sin.f64 im) #s(literal 0 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))) (.f64 (*.f64 (cos.f64 im) #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 #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 (sin.f64 im) #s(literal 0 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (*.f64 (cos.f64 im) #s(literal 1 binary64))))
(+.f64 (.f64 (.f64 (sin.f64 im) #s(literal 0 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)))) (.f64 (.f64 (cos.f64 im) #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)))))
(+.f64 (.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))) (.f64 (sin.f64 im) #s(literal 0 binary64))) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (.f64 (cos.f64 im) #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)))
(/.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 (.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 3 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)) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) (/.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 3 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)) #s(literal 1 binary64)) (.f64 (fma.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 (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)) #s(literal 1 binary64)) (.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 (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)) #s(literal 1 binary64)) (.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 (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 3 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)) #s(literal 1 binary64)) (.f64 (fma.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 (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)) #s(literal 1 binary64)) (*.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 (pow.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))) #s(literal 3 binary64)) (pow.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)) #s(literal 3 binary64))) (fma.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))) (fma.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) (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 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) (-.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 (+.f64 (pow.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 3 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)) #s(literal 1 binary64)) (.f64 (fma.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 (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)) #s(literal 1 binary64)) (.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 3 binary64))) (fma.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 3 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)) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) (/.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 3 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)) #s(literal 1 binary64)) (.f64 (fma.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 (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)) #s(literal 1 binary64)) (.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 (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)) #s(literal 1 binary64)) (.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 (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 3 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)) #s(literal 1 binary64)) (.f64 (fma.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 (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)) #s(literal 1 binary64)) (.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 (neg.f64 (-.f64 #s(literal 1 binary64) (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)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.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 (neg.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)) #s(literal 1 binary64)))) (neg.f64 (neg.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)))))
(/.f64 (neg.f64 (neg.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 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.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)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)))))
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eval127.0ms (1.7%)

Memory: 7.5MiB live, 157.1MiB allocated; 48ms collecting garbage
Compiler: Compiled 13 546 to 1 805 computations (86.7% saved)

prune45.0ms (0.6%)

Memory

-41.8MiB live, 57.5MiB allocated; 14ms collecting garbage

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	408	15	423
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	408	22	430

Accuracy

100.0%

Counts

430 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	60.0%	(.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))))
✓	64.2%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	25.5%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
	43.2%	(*.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))) (sin.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64)))))
✓	68.0%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
	40.4%	(.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))))
	42.7%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	63.5%	(*.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))
	37.8%	(.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))))
	39.4%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	49.2%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
▶	30.2%	(.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))))
	31.7%	(.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))))
	22.3%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) (cos.f64 im))
▶	22.6%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (cos.f64 im))
	18.0%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) (cos.f64 im))
	18.4%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (cos.f64 im))
▶	28.2%	#s(approx (* (exp re) (cos im)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)))
✓	48.2%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
	29.3%	#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))))
▶	29.4%	#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 747 to 548 computations (26.6% saved)

simplify127.0ms (1.7%)

Memory

34.6MiB live, 220.9MiB allocated; 29ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re)
cost-diff	0	#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))
cost-diff	0	#s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re)))
cost-diff	0	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (cos.f64 im))
cost-diff	0	(/.f64 (PI.f64) #s(literal 2 binary64))
cost-diff	0	(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)
cost-diff	0	#s(approx (* (exp re) (cos im)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)))
cost-diff	4	(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im))
cost-diff	0	#s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
cost-diff	0	(+.f64 #s(literal 1 binary64) re)
cost-diff	0	#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
cost-diff	0	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
cost-diff	0	(*.f64 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 #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	(exp.f64 re)
cost-diff	0	(.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))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	306
0	64	298
1	103	298
2	221	298
3	584	298
4	1710	298
5	5147	298
0	8283	292

Stop Event

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

Calls

Call 1

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

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

localize205.0ms (2.7%)

Memory

25.4MiB live, 301.7MiB allocated; 39ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0625	(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)
accuracy	0.19140625	(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy	20.451358876159716	#s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re)))
accuracy	29.724724640955408	#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))
accuracy	0.0	(PI.f64)
accuracy	0.015625	(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)
accuracy	27.35475868379263	(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im))
accuracy	33.152251780597766	#s(approx (* (exp re) (cos im)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)))
accuracy	0.0390625	(fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
accuracy	0.15234375	(.f64 #s(literal 1/24 binary64) (.f64 im im))
accuracy	30.590158603511814	#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	32.50195283973297	#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
accuracy	0.0	(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
accuracy	0.0	(*.f64 im im)
accuracy	30.594636934498904	#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	33.152251780597766	#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	0.0	(exp.f64 re)
accuracy	0.0390625	(fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
accuracy	0.15234375	(.f64 #s(literal 1/24 binary64) (.f64 im im))
accuracy	30.590158603511814	#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)))

Samples

73.0ms	122×	1	valid
67.0ms	134×	0	valid

Compiler

Compiled 178 to 32 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-exp: 33.0ms (28.7% of total)

ival-mult: 22.0ms (19.2% of total)

ival-sin: 15.0ms (13.1% of total)

adjust: 13.0ms (11.3% of total)

ival-add: 11.0ms (9.6% of total)

const: 9.0ms (7.8% of total)

ival-cos: 5.0ms (4.4% of total)

ival-div: 2.0ms (1.7% of total)

ival-pi: 2.0ms (1.7% of total)

ival-sub: 2.0ms (1.7% 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

-22.3MiB live, 23.5MiB allocated; 4ms collecting garbage

Counts

23 → 52

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	re	@	0	((* (exp re) (cos im)) (exp re) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) (* (exp re) (cos im)) (exp re) (+ 1 re) (sin (+ (/ (PI) 2) im)) (* (exp re) (cos im)) (+ (/ (PI) 2) im) (/ (PI) 2) (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (* (+ (* 1/6 re) 1/2) re) re) (* 1/24 (* im im)) (PI) (+ (* 1/6 re) 1/2) (* (+ (* 1/6 re) 1/2) re))
2.0ms	im	@	0	((* (exp re) (cos im)) (exp re) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) (* (exp re) (cos im)) (exp re) (+ 1 re) (sin (+ (/ (PI) 2) im)) (* (exp re) (cos im)) (+ (/ (PI) 2) im) (/ (PI) 2) (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (* (+ (* 1/6 re) 1/2) re) re) (* 1/24 (* im im)) (PI) (+ (* 1/6 re) 1/2) (* (+ (* 1/6 re) 1/2) re))
1.0ms	im	@	inf	((* (exp re) (cos im)) (exp re) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) (* (exp re) (cos im)) (exp re) (+ 1 re) (sin (+ (/ (PI) 2) im)) (* (exp re) (cos im)) (+ (/ (PI) 2) im) (/ (PI) 2) (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (* (+ (* 1/6 re) 1/2) re) re) (* 1/24 (* im im)) (PI) (+ (* 1/6 re) 1/2) (* (+ (* 1/6 re) 1/2) re))
1.0ms	im	@	-inf	((* (exp re) (cos im)) (exp re) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) (* (exp re) (cos im)) (exp re) (+ 1 re) (sin (+ (/ (PI) 2) im)) (* (exp re) (cos im)) (+ (/ (PI) 2) im) (/ (PI) 2) (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (* (+ (* 1/6 re) 1/2) re) re) (* 1/24 (* im im)) (PI) (+ (* 1/6 re) 1/2) (* (+ (* 1/6 re) 1/2) re))
1.0ms	re	@	-inf	((* (exp re) (cos im)) (exp re) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) (* (exp re) (cos im)) (exp re) (+ 1 re) (sin (+ (/ (PI) 2) im)) (* (exp re) (cos im)) (+ (/ (PI) 2) im) (/ (PI) 2) (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (* (+ (* 1/6 re) 1/2) re) re) (* 1/24 (* im im)) (PI) (+ (* 1/6 re) 1/2) (* (+ (* 1/6 re) 1/2) re))

simplify224.0ms (3%)

Memory

-8.4MiB live, 198.1MiB allocated; 130ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	468
1	495	455
2	1706	445
3	6402	444
0	8543	403

Stop Event

1×	iter limit
1×	node limit

Counts

52 → 50

Calls

Call 1

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

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

rewrite246.0ms (3.3%)

Memory

6.4MiB live, 388.6MiB allocated; 63ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	233
0	64	225
1	215	225
2	1438	225
0	8396	219

Stop Event

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

Counts

23 → 372

Calls

Call 1

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

eval126.0ms (1.7%)

Memory: -29.4MiB live, 164.5MiB allocated; 21ms collecting garbage
Compiler: Compiled 19 630 to 2 401 computations (87.8% saved)

prune78.0ms (1%)

Memory

2.3MiB live, 113.3MiB allocated; 15ms collecting garbage

Pruning

29 alts after pruning (20 fresh and 9 done)

	Pruned	Kept	Total
New	552	10	562
Fresh	1	10	11
Picked	2	3	5
Done	0	6	6
Total	555	29	584

Accuracy

100.0%

Counts

584 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	60.0%	(.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))))
✓	64.2%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	25.5%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
▶	43.2%	(*.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))) (sin.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64)))))
✓	68.0%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
	40.4%	(.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))))
	42.7%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	63.5%	(*.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))
▶	37.8%	(.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))))
	39.4%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	49.2%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
	30.2%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
	30.2%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
	31.7%	(.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))))
▶	15.4%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))))
	22.3%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) (cos.f64 im))
✓	22.6%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (cos.f64 im))
	22.0%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) re))) (cos.f64 im))
	18.4%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) re))) (cos.f64 im))
	18.0%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) (cos.f64 im))
	28.5%	#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (sqrt.f64 im) (sqrt.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	28.1%	#s(approx (* (exp re) (cos im)) (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)))
	28.2%	#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (/ (PI) 2) im) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))))
✓	48.2%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
	29.3%	#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))))
✓	29.4%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	22.3%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im))))
▶	11.9%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))

Compiler

Compiled 1 038 to 757 computations (27.1% saved)

simplify178.0ms (2.4%)

Memory

21.0MiB live, 160.7MiB allocated; 35ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (cos im) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))))
cost-diff	0	(+.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) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
cost-diff	0	#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.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 (-.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 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 (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))) (sin.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64)))))
cost-diff	5	(sin.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	431
0	89	421
1	136	421
2	268	421
3	653	421
4	1553	421
5	4124	421
6	7904	421
0	8040	415

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

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

localize247.0ms (3.3%)

Memory

13.2MiB live, 338.3MiB allocated; 61ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1015625	(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))
accuracy	30.590158603511814	#s(approx (cos im) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))))
accuracy	31.91386696341713	#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))
accuracy	32.50195283973297	#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
accuracy	0.0390625	(fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
accuracy	0.15234375	(.f64 #s(literal 1/24 binary64) (.f64 im im))
accuracy	23.32829396991787	#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy	30.590158603511814	#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	0.31640625	(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im)
accuracy	15.160089977327567	(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) #s(literal 1/2 binary64)) im)
accuracy	30.594636934498904	#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	33.152251780597766	#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	0.0	(*.f64 im im)
accuracy	30.594636934498904	#s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))
accuracy	32.193614647328204	#s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
accuracy	33.152251780597766	#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	0.0546875	(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
accuracy	0.19140625	(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy	20.451358876159716	#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy	27.01122791949599	(sin.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64))))

Samples

99.0ms	122×	1	valid
72.0ms	134×	0	valid

Compiler

Compiled 236 to 44 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-mult: 31.0ms (21.9% of total)

ival-pow: 26.0ms (18.4% of total)

adjust: 22.0ms (15.5% of total)

ival-add: 13.0ms (9.2% of total)

ival-sin: 12.0ms (8.5% of total)

ival-cos: 10.0ms (7.1% of total)

ival-div: 9.0ms (6.4% of total)

const: 9.0ms (6.4% of total)

ival-sub: 3.0ms (2.1% of total)

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

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

exact: 1.0ms (0.7% of total)

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

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

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

series21.0ms (0.3%)

Memory

-20.8MiB live, 33.4MiB allocated; 19ms collecting garbage

Counts

29 → 65

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	re	@	inf	((sin (+ (neg im) (/ (PI) 2))) (* (exp re) (sin (+ (neg im) (/ (PI) 2)))) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (* (- (/ 1 (* im im)) 1/2) im) im) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* 1/6 re) 1/2) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* im im) (* (- (/ 1 (* im im)) 1/2) im) (cos im) (* 1/24 (* im im)) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (* (pow im 4) 1/24))
3.0ms	im	@	inf	((sin (+ (neg im) (/ (PI) 2))) (* (exp re) (sin (+ (neg im) (/ (PI) 2)))) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (* (- (/ 1 (* im im)) 1/2) im) im) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* 1/6 re) 1/2) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* im im) (* (- (/ 1 (* im im)) 1/2) im) (cos im) (* 1/24 (* im im)) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (* (pow im 4) 1/24))
3.0ms	im	@	-inf	((sin (+ (neg im) (/ (PI) 2))) (* (exp re) (sin (+ (neg im) (/ (PI) 2)))) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (* (- (/ 1 (* im im)) 1/2) im) im) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* 1/6 re) 1/2) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* im im) (* (- (/ 1 (* im im)) 1/2) im) (cos im) (* 1/24 (* im im)) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (* (pow im 4) 1/24))
2.0ms	im	@	0	((sin (+ (neg im) (/ (PI) 2))) (* (exp re) (sin (+ (neg im) (/ (PI) 2)))) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (* (- (/ 1 (* im im)) 1/2) im) im) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* 1/6 re) 1/2) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* im im) (* (- (/ 1 (* im im)) 1/2) im) (cos im) (* 1/24 (* im im)) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (* (pow im 4) 1/24))
2.0ms	re	@	-inf	((sin (+ (neg im) (/ (PI) 2))) (* (exp re) (sin (+ (neg im) (/ (PI) 2)))) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (* (- (/ 1 (* im im)) 1/2) im) im) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* 1/6 re) 1/2) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* im im) (* (- (/ 1 (* im im)) 1/2) im) (cos im) (* 1/24 (* im im)) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (* (pow im 4) 1/24))

simplify187.0ms (2.5%)

Memory

-12.2MiB live, 231.3MiB allocated; 35ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	183	697
1	643	661
2	2336	631
0	8503	575

Stop Event

1×	iter limit
1×	node limit

Counts

65 → 64

Calls

Call 1

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

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

rewrite200.0ms (2.7%)

Memory

30.8MiB live, 260.4MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	370
0	89	360
1	290	350
2	1938	350
0	8144	344

Stop Event

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

Counts

29 → 321

Calls

Call 1

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

Outputs
(/.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 (pow.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 (cos.f64 im) #s(literal 1 binary64))))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) #s(literal 1 binary64) (.f64 (pow.f64 (neg.f64 (sin.f64 im)) #s(literal 3 binary64)) #s(literal 0 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im))) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im)))))))
(/.f64 (+.f64 (-.f64 (cos.f64 im) (neg.f64 (cos.f64 im))) (+.f64 (neg.f64 (cos.f64 im)) (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (+.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 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 (neg.f64 (cos.f64 im)) (cos.f64 im)) (-.f64 (cos.f64 im) (neg.f64 (cos.f64 im)))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 (neg.f64 (cos.f64 im)) (cos.f64 im)) (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 im)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 im)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im))) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (cos.f64 im))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (neg.f64 (sin.f64 im)) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im))) (.f64 (cos.f64 im) #s(literal 1 binary64)))))))
(/.f64 (fma.f64 (-.f64 (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 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 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 (neg.f64 (cos.f64 im)) (cos.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 im) (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 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 im)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 im))))) #s(literal 4 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im))) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 (cos.f64 im)))
(/.f64 (fma.f64 (pow.f64 (neg.f64 (sin.f64 im)) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im))) (.f64 (cos.f64 im) #s(literal 1 binary64))))))
(fma.f64 (sin.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 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)) (neg.f64 im)) (.f64 im im)))) (.f64 (cos.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 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)) (neg.f64 im)) (*.f64 im im))))))
(fma.f64 (sin.f64 im) #s(literal 0 binary64) (*.f64 (cos.f64 im) #s(literal 1 binary64)))
(fma.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im)) (*.f64 (cos.f64 im) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64) (*.f64 (cos.f64 im) #s(literal 1 binary64)))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.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 #s(literal 1 binary64) (cos.f64 im) (*.f64 #s(literal 0 binary64) (sin.f64 im)))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im))))
(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 (neg.f64 (neg.f64 im)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 im)))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im))) #s(literal 2 binary64)) (neg.f64 (cos.f64 im))) (/.f64 (pow.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (neg.f64 (cos.f64 im))))
(-.f64 (.f64 (sin.f64 (/.f64 (.f64 im im) (-.f64 (neg.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 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (.f64 (cos.f64 (/.f64 (.f64 im im) (-.f64 (neg.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 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (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 (neg.f64 (neg.f64 im))))
(cos.f64 (neg.f64 (neg.f64 im)))
(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 (.f64 (pow.f64 (neg.f64 (sin.f64 im)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im))) (.f64 (cos.f64 im) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im))) (.f64 (cos.f64 im) #s(literal 1 binary64)))))))
(+.f64 (.f64 (sin.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 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)) (neg.f64 im)) (.f64 im im))))) (.f64 (cos.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 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)) (neg.f64 im)) (.f64 im im))))))
(+.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 (cos.f64 im) #s(literal 1 binary64)))
(+.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (sin.f64 im)))
(+.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im))))
(+.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im))) (.f64 (cos.f64 im) #s(literal 1 binary64)))
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(fma.f64 (neg.f64 im) (.f64 (neg.f64 im) (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
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(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64))) (.f64 im im)))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 im) im) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) im) im)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im)))))
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(+.f64 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) im) im))) (pow.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im)) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) im) im))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))
(.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) (.f64 im im))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
(.f64 (.f64 im im) (.f64 #s(literal 1/24 binary64) (.f64 im im)))

eval93.0ms (1.2%)

Memory: -25.7MiB live, 121.0MiB allocated; 29ms collecting garbage
Compiler: Compiled 16 273 to 2 068 computations (87.3% saved)

prune35.0ms (0.5%)

Memory

-2.9MiB live, 85.5MiB allocated; 11ms collecting garbage

Pruning

29 alts after pruning (18 fresh and 11 done)

	Pruned	Kept	Total
New	420	7	427
Fresh	4	11	15
Picked	3	2	5
Done	0	9	9
Total	427	29	456

Accuracy

100.0%

Counts

456 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	60.0%	(.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))))
✓	64.2%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	25.5%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
✓	68.0%	(*.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))
	43.2%	(.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 (sin (+ (neg im) (/ (PI) 2))) (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) im))))
	40.4%	(.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))))
	42.7%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	63.5%	(*.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))
	39.4%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	49.2%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
	31.7%	(.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))))
	15.4%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 im im) (.f64 #s(literal 1/24 binary64) (.f64 im im))))))
	22.3%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) (cos.f64 im))
✓	22.6%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (cos.f64 im))
	22.0%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) re))) (cos.f64 im))
	18.4%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) re))) (cos.f64 im))
	18.0%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) (cos.f64 im))
	14.4%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
	14.3%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
	28.1%	#s(approx (* (exp re) (sin (+ (neg im) (/ (PI) 2)))) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) im)))
	28.5%	#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (sqrt.f64 im) (sqrt.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	28.2%	#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (/ (PI) 2) im) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))))
✓	48.2%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
	29.3%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
✓	29.4%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	22.3%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im))))
✓	11.9%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
	28.1%	#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 1 464 to 635 computations (56.6% saved)

regimes82.0ms (1.1%)

Memory

22.9MiB live, 124.4MiB allocated; 19ms collecting garbage

Counts

39 → 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 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 im im) (.f64 #s(literal 1/24 binary64) (.f64 im im))))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (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))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (fma.f64 #s(literal 1/2 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))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (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))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (/ (PI) 2) im) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))))
#s(approx (* (exp re) (sin (+ (neg im) (/ (PI) 2)))) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)))
#s(approx (* (exp re) (cos im)) (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (cos.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) re))) (cos.f64 im))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) (cos.f64 im))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) re))) (cos.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (cos.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) (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 #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 (sin (+ (neg im) (/ (PI) 2))) (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) im))))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (sqrt.f64 im) (sqrt.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (exp.f64 re) (cos.f64 im))

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

Calls

5 calls:

38.0ms	(cos.f64 im)
15.0ms	re
10.0ms	im
9.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
8.0ms	(exp.f64 re)

Results

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

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes103.0ms (1.4%)

Memory

14.6MiB live, 103.5MiB allocated; 12ms collecting garbage

Counts

38 → 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 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 im im) (.f64 #s(literal 1/24 binary64) (.f64 im im))))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (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))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (fma.f64 #s(literal 1/2 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))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (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))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (/ (PI) 2) im) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))))
#s(approx (* (exp re) (sin (+ (neg im) (/ (PI) 2)))) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)))
#s(approx (* (exp re) (cos im)) (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (cos.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) re))) (cos.f64 im))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) (cos.f64 im))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) re))) (cos.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (cos.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) (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 #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 (sin (+ (neg im) (/ (PI) 2))) (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) im))))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (sqrt.f64 im) (sqrt.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64)))))

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

Calls

5 calls:

46.0ms	im
28.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
10.0ms	re
10.0ms	(cos.f64 im)
7.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
84.0%	2	`(cos.f64 im)`
85.5%	2	`(exp.f64 re)`
91.1%	4	`(*.f64 (exp.f64 re) (cos.f64 im))`
91.4%	4	`re`
84.7%	2	`im`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes95.0ms (1.3%)

Memory

-18.0MiB live, 81.7MiB allocated; 39ms collecting garbage

Counts

34 → 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 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 im im) (.f64 #s(literal 1/24 binary64) (.f64 im im))))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (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))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (fma.f64 #s(literal 1/2 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))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (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))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (/ (PI) 2) im) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))))
#s(approx (* (exp re) (sin (+ (neg im) (/ (PI) 2)))) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)))
#s(approx (* (exp re) (cos im)) (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (cos.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) re))) (cos.f64 im))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) (cos.f64 im))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) re))) (cos.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (cos.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) (cos.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))

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

Calls

2 calls:

65.0ms	re
28.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
85.2%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`
90.2%	4	`re`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes23.0ms (0.3%)

Memory

-16.9MiB live, 28.6MiB allocated; 4ms collecting garbage

Counts

33 → 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 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 im im) (.f64 #s(literal 1/24 binary64) (.f64 im im))))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (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))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (fma.f64 #s(literal 1/2 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))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (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))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (/ (PI) 2) im) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))))
#s(approx (* (exp re) (sin (+ (neg im) (/ (PI) 2)))) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)))
#s(approx (* (exp re) (cos im)) (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (cos.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) re))) (cos.f64 im))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) (cos.f64 im))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) re))) (cos.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (cos.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) (cos.f64 im))

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

Calls

1 calls:

9.0ms

re

Results

Accuracy	Segments	Branch
90.1%	4	`re`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes10.0ms (0.1%)

Memory

37.1MiB live, 37.1MiB allocated; 0ms collecting garbage

Counts

30 → 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 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 im im) (.f64 #s(literal 1/24 binary64) (.f64 im im))))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (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))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (fma.f64 #s(literal 1/2 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))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (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))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (/ (PI) 2) im) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))))
#s(approx (* (exp re) (sin (+ (neg im) (/ (PI) 2)))) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)))
#s(approx (* (exp re) (cos im)) (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (cos.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) re))) (cos.f64 im))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) (cos.f64 im))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))

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

Calls

1 calls:

8.0ms

re

Results

Accuracy	Segments	Branch
89.7%	4	`re`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes12.0ms (0.2%)

Memory

0.6MiB live, 43.4MiB allocated; 5ms collecting garbage

Counts

29 → 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 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 im im) (.f64 #s(literal 1/24 binary64) (.f64 im im))))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (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))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (fma.f64 #s(literal 1/2 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))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (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))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (/ (PI) 2) im) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))))
#s(approx (* (exp re) (sin (+ (neg im) (/ (PI) 2)))) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)))
#s(approx (* (exp re) (cos im)) (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (cos.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) re))) (cos.f64 im))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) (cos.f64 im))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))

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

Calls

1 calls:

10.0ms

re

Results

Accuracy	Segments	Branch
89.4%	4	`re`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes43.0ms (0.6%)

Memory

-8.6MiB live, 97.5MiB allocated; 12ms collecting garbage

Counts

28 → 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 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 im im) (.f64 #s(literal 1/24 binary64) (.f64 im im))))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (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))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (fma.f64 #s(literal 1/2 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))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (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))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (/ (PI) 2) im) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))))
#s(approx (* (exp re) (sin (+ (neg im) (/ (PI) 2)))) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)))
#s(approx (* (exp re) (cos im)) (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (cos.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) re))) (cos.f64 im))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) (cos.f64 im))

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

12.0ms	re
9.0ms	(cos.f64 im)
8.0ms	im
7.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
6.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
86.2%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`
61.4%	3	`(cos.f64 im)`
59.0%	2	`im`
81.4%	3	`(exp.f64 re)`
84.5%	4	`re`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes65.0ms (0.9%)

Memory

-20.6MiB live, 69.7MiB allocated; 6ms collecting garbage

Counts

26 → 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 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 im im) (.f64 #s(literal 1/24 binary64) (.f64 im im))))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (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))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (fma.f64 #s(literal 1/2 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))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (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))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (/ (PI) 2) im) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))))
#s(approx (* (exp re) (sin (+ (neg im) (/ (PI) 2)))) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)))
#s(approx (* (exp re) (cos im)) (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (cos.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) re))) (cos.f64 im))

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

3 calls:

36.0ms	(exp.f64 re)
20.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
7.0ms	re

Results

Accuracy	Segments	Branch
73.8%	3	`(exp.f64 re)`
77.0%	4	`re`
78.7%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes12.0ms (0.2%)

Memory

34.6MiB live, 34.5MiB allocated; 0ms collecting garbage

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

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

2 calls:

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

Results

Accuracy	Segments	Branch
73.3%	3	`re`
78.4%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes32.0ms (0.4%)

Memory

-32.1MiB live, 62.9MiB allocated; 15ms collecting garbage

Counts

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

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

10.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
8.0ms	im
5.0ms	re
5.0ms	(cos.f64 im)
4.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
42.7%	1	`im`
47.8%	2	`(cos.f64 im)`
53.5%	3	`re`
53.5%	3	`(exp.f64 re)`
59.3%	4	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes5.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated; 0ms collecting garbage

Counts

16 → 4

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#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 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 im im) (.f64 #s(literal 1/24 binary64) (.f64 im im))))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (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))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (fma.f64 #s(literal 1/2 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))))
(.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 (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))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 im im) (.f64 #s(literal 1/24 binary64) (.f64 im im))))))
#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
56.8%	4	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes5.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated; 0ms collecting garbage

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

Outputs
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 im im) (.f64 #s(literal 1/24 binary64) (.f64 im im))))))
#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) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (-.f64 (.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
55.8%	4	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes10.0ms (0.1%)

Memory

-25.7MiB live, 14.5MiB allocated; 8ms collecting garbage

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

9.0ms

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

Results

Accuracy	Segments	Branch
55.8%	4	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes14.0ms (0.2%)

Memory

1.7MiB live, 47.3MiB allocated; 5ms collecting garbage

Counts

13 → 3

Calls

Call 1

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

Outputs

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

#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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))

Calls

3 calls:

6.0ms	(exp.f64 re)
4.0ms	re
3.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
53.5%	3	`(exp.f64 re)`
53.5%	3	`re`
54.6%	4	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes15.0ms (0.2%)

Memory

-12.2MiB live, 49.0MiB allocated; 6ms collecting garbage

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
51.4%	4	`(*.f64 (exp.f64 re) (cos.f64 im))`
50.3%	3	`(exp.f64 re)`
52.5%	4	`re`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes6.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

#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:

3.0ms	re
2.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
50.3%	3	`(exp.f64 re)`
50.3%	3	`re`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes16.0ms (0.2%)

Memory

-7.3MiB live, 38.1MiB allocated; 6ms collecting garbage

Counts

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

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

5 calls:

5.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
3.0ms	re
3.0ms	im
2.0ms	(cos.f64 im)
2.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
31.7%	1	`im`
35.2%	2	`(cos.f64 im)`
46.8%	4	`(*.f64 (exp.f64 re) (cos.f64 im))`
42.7%	3	`(exp.f64 re)`
42.7%	3	`re`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes7.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated; 0ms collecting garbage

Counts

6 → 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 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))

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

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

Results

Accuracy	Segments	Branch
39.9%	3	`re`
39.9%	3	`(exp.f64 re)`
44.0%	4	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes2.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Counts

4 → 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))))

Outputs

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

#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* 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

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
40.0%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes16.0ms (0.2%)

Memory

-34.4MiB live, 10.1MiB allocated; 6ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

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

#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))))

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:

13.0ms	re
1.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
37.6%	3	`(exp.f64 re)`
37.6%	3	`re`
38.1%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes4.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

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:

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

Results

Accuracy	Segments	Branch
35.6%	2	`(exp.f64 re)`
35.6%	2	`re`
35.6%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes5.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
11.9%	1	`im`
11.9%	1	`(cos.f64 im)`
11.9%	1	`(exp.f64 re)`
11.9%	1	`re`
11.9%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch78.0ms (1%)

Memory

-40.7MiB live, 77.8MiB allocated; 35ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
13.0ms	1.4969880142331828e+102	1.461019044271864e+106
28.0ms	8.806174993553194	46246036.789926454
33.0ms	-0.029068734859224836	-0.00011817133837513503

Samples

37.0ms

384×

valid

Compiler

Compiled 918 to 709 computations (22.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-exp: 17.0ms (60.3% of total)

ival-cos: 8.0ms (28.4% of total)

ival-mult: 2.0ms (7.1% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch4.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB allocated; 0ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	1.4969880142331828e+102	1.461019044271864e+106
1.0ms	8.806174993553194	46246036.789926454
1.0ms	-0.029068734859224836	-0.00011817133837513503

Compiler

Compiled 816 to 658 computations (19.4% saved)

bsearch4.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB allocated; 0ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	1.4969880142331828e+102	1.461019044271864e+106
1.0ms	8.806174993553194	46246036.789926454
1.0ms	-0.029068734859224836	-0.00011817133837513503

Compiler

Compiled 768 to 626 computations (18.5% saved)

bsearch13.0ms (0.2%)

Memory

19.5MiB live, 19.5MiB allocated; 0ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
9.0ms	2.1135539588141135e+153	2.2987399845676217e+154
1.0ms	8.806174993553194	46246036.789926454
1.0ms	-0.029068734859224836	-0.00011817133837513503

Samples

6.0ms

96×

valid

Compiler

Compiled 606 to 530 computations (12.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-cos: 2.0ms (56.3% of total)

ival-exp: 1.0ms (28.1% of total)

ival-mult: 1.0ms (28.1% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch27.0ms (0.4%)

Memory

-31.4MiB live, 12.3MiB allocated; 11ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	2.1135539588141135e+153	2.2987399845676217e+154
1.0ms	8.806174993553194	46246036.789926454
4.0ms	-0.029068734859224836	-0.00011817133837513503

Samples

2.0ms

32×

valid

Compiler

Compiled 542 to 498 computations (8.1% saved)

Precisions

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

ival-cos: 1.0ms (84.3% of total)

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

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

adjust: 0.0ms (0% of total)

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

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

bsearch1.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9996864905301789	0.9999910600757126
0.0ms	4.432013108277099e-19	0.011672827278906993
0.0ms	-0.08439593428543392	0.0
0.0ms	-inf	-2610.023969672077

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9996864905301789	0.9999910600757126
0.0ms	4.432013108277099e-19	0.011672827278906993
0.0ms	-0.08439593428543392	0.0
0.0ms	-inf	-2610.023969672077

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9996864905301789	0.9999910600757126
0.0ms	-0.0	4.432013108277099e-19
0.0ms	-0.08439593428543392	0.0
0.0ms	-inf	-2610.023969672077

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.9996864905301789	0.9999910600757126
0.0ms	-0.0	4.432013108277099e-19
0.0ms	-0.08439593428543392	0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.9996864905301789	0.9999910600757126
0.0ms	-0.0	4.432013108277099e-19
0.0ms	-0.08439593428543392	0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000015283	+inf
0.0ms	-0.0	4.432013108277099e-19
0.0ms	-0.08439593428543392	0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000015283	+inf
0.0ms	-0.0	4.432013108277099e-19
0.0ms	-0.08439593428543392	0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch43.0ms (0.6%)

Memory

18.5MiB live, 65.2MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	1.0033846924823813e-13	1.5282363930381744e-12
14.0ms	-1902347532.3549156	-42.26026285980251

Samples

30.0ms

240×

valid

Compiler

Compiled 923 to 649 computations (29.7% saved)

Precisions

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

ival-cos: 5.0ms (56.1% of total)

ival-exp: 3.0ms (33.7% of total)

ival-mult: 1.0ms (11.2% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch37.0ms (0.5%)

Memory

12.1MiB live, 57.5MiB allocated; 4ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
13.0ms	8.724676453275048e+168	1.9784976349226214e+172
20.0ms	1.0033846924823813e-13	1.5282363930381744e-12
1.0ms	-1902347532.3549156	-42.26026285980251

Samples

12.0ms

208×

valid

Compiler

Compiled 1 337 to 961 computations (28.1% saved)

Precisions

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

ival-cos: 4.0ms (51.6% of total)

ival-exp: 2.0ms (25.8% of total)

ival-mult: 1.0ms (12.9% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch3.0ms (0%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.0033846924823813e-13	1.5282363930381744e-12
1.0ms	-1902347532.3549156	-42.26026285980251

Compiler

Compiled 905 to 637 computations (29.6% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.9996864905301789	0.9999910600757126
0.0ms	-0.0	4.432013108277099e-19
0.0ms	-0.08439593428543392	0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch22.0ms (0.3%)

Memory

-55.3MiB live, 1.8MiB allocated; 5ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.9996864905301789	0.9999910600757126
0.0ms	-0.0	4.432013108277099e-19
0.0ms	-inf	-2610.023969672077

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	4.432013108277099e-19
0.0ms	-inf	-2610.023969672077

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	4.432013108277099e-19

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	4.432013108277099e-19

Compiler

Compiled 8 to 10 computations (-25% saved)

simplify65.0ms (0.9%)

Memory

48.0MiB live, 92.1MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	182	2130
1	227	2130
2	357	2130
3	742	2130
4	1670	2130
5	4454	2130

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 re #s(literal -5188146770730811/288230376151711744 binary64)) (.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 re #s(literal 9 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) (if (<=.f64 re #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) (.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) (.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) re))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -5188146770730811/288230376151711744 binary64)) (.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 re #s(literal 9 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) (if (<=.f64 re #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) (.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) re))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -5188146770730811/288230376151711744 binary64)) (.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 re #s(literal 9 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) (if (<=.f64 re #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) (.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) re))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -5188146770730811/288230376151711744 binary64)) (.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 re #s(literal 9 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) (if (<=.f64 re #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (cos.f64 im)))))
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(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 im im) (.f64 #s(literal 1/24 binary64) (.f64 im im)))))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251349453722511/2251799813685248 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 -3602879701896397/72057594037927936 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 im im) (.f64 #s(literal 1/24 binary64) (.f64 im im)))))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251349453722511/2251799813685248 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 -3602879701896397/72057594037927936 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 im im) (.f64 #s(literal 1/24 binary64) (.f64 im im)))))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 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) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (-.f64 (.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 -3602879701896397/72057594037927936 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 im im) (.f64 #s(literal 1/24 binary64) (.f64 im im)))))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 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) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 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 -490 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 im im) (.f64 #s(literal 1/24 binary64) (.f64 im im)))))) (if (<=.f64 re #s(literal 4040636288227481/39614081257132168796771975168 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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(if (<=.f64 re #s(literal -490 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 im im) (.f64 #s(literal 1/24 binary64) (.f64 im im)))))) (if (<=.f64 re #s(literal 3713820117856141/2475880078570760549798248448 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 re #s(literal 9000000000000000242732449134099089784724114335738366634965599187793891928019023061241483772959299574655374626828750923906845563976381493499132802295294179209552527884288 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) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))))))
(if (<=.f64 re #s(literal -490 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 im im) (.f64 #s(literal 1/24 binary64) (.f64 im im)))))) (if (<=.f64 re #s(literal 4040636288227481/39614081257132168796771975168 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 -3602879701896397/72057594037927936 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 im im) (.f64 #s(literal 1/24 binary64) (.f64 im im)))))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251349453722511/2251799813685248 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 -inf.0 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* 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 2251349453722511/2251799813685248 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 -inf.0 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* 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) #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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#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)))))

derivations1.3s (17.1%)

Memory

-22.3MiB live, 1 024.4MiB allocated; 111ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	358
1	387	341
2	1396	332
3	6874	331
0	8379	294
0	183	697
1	643	661
2	2336	631
0	8503	575
0	56	370
0	89	360
1	290	350
2	1938	350
0	8144	344
0	147	468
1	495	455
2	1706	445
3	6402	444
0	8543	403
0	64	175
1	237	164
2	882	160
3	3902	156
0	8046	136

Stop Event

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

Compiler

Compiled 2 130 to 188 computations (91.2% saved)

preprocess148.0ms (2%)

Memory: 18.5MiB live, 154.0MiB allocated; 19ms collecting garbage
Remove: (abs im)
Compiler: Compiled 4 290 to 406 computations (90.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage