Metrics for math.exp on complex, real part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample1.0s (15%)

Memory

12.4MiB live, 1 221.9MiB allocated; 185ms collecting garbage

Samples

677.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 397.0ms

ival-cos: 250.0ms (62.9% of total)

ival-exp: 72.0ms (18.1% of total)

ival-mult: 63.0ms (15.9% of total)

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

ival-assert: 4.0ms (1% of total)

adjust: 3.0ms (0.8% of total)

Bogosity

explain86.0ms (1.3%)

Memory

11.0MiB live, 111.2MiB allocated; 7ms 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

57.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

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

ival-cos: 11.0ms (60.6% of total)

ival-exp: 4.0ms (22% of total)

ival-mult: 3.0ms (16.5% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess141.0ms (2.1%)

Memory

5.6MiB live, 234.9MiB allocated; 33ms 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	417	27
4	1624	27
0	5	5
0	8	5
1	19	5
2	39	5
3	86	5
4	325	5
5	2558	5
0	8529	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

1.3MiB live, 1.3MiB 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)

simplify207.0ms (3.1%)

Memory

-13.0MiB live, 164.5MiB allocated; 48ms 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	86	11
4	325	11
5	2558	11
0	8529	11

Stop Event

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

Calls

Call 1

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

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

localize20.0ms (0.3%)

Memory

34.9MiB live, 34.9MiB allocated; 0ms 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

15.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-cos: 5.0ms (54.6% of total)

ival-exp: 2.0ms (21.8% of total)

ival-mult: 1.0ms (10.9% of total)

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

adjust: 0.0ms (0% of total)

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

series33.0ms (0.5%)

Memory

-22.5MiB live, 11.8MiB allocated; 24ms 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
31.0ms	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))

simplify289.0ms (4.3%)

Memory

37.7MiB live, 414.7MiB allocated; 129ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	175
1	237	164
2	910	160
3	4069	156
0	8359	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))

rewrite66.0ms (1%)

Memory

-21.2MiB live, 84.7MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
0	8	9
1	19	9
2	88	9
0	657	9

Stop Event

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

Counts

3 → 49

Calls

Call 1

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

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

eval7.0ms (0.1%)

Memory: 18.7MiB live, 18.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 996 to 215 computations (78.4% saved)

prune7.0ms (0.1%)

Memory

-31.3MiB live, 15.0MiB allocated; 3ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	59	6	65
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	7	66

Accuracy

100.0%

Counts

66 → 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)

simplify240.0ms (3.6%)

Memory

2.2MiB live, 235.8MiB allocated; 106ms 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	190	167
3	560	167
4	1902	167
5	7521	167
0	8011	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))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) re)
(-.f64 re #s(literal -1 binary64))
#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

localize80.0ms (1.2%)

Memory

11.2MiB live, 154.9MiB allocated; 13ms 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

62.0ms

256×

valid

Compiler

Compiled 116 to 25 computations (78.4% saved)

Precisions

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

ival-mult: 15.0ms (40.9% of total)

ival-add: 8.0ms (21.8% of total)

ival-cos: 6.0ms (16.4% of total)

const: 5.0ms (13.6% of total)

ival-exp: 2.0ms (5.5% 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

16.2MiB live, 16.2MiB 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	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))
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))

simplify150.0ms (2.2%)

Memory

-19.8MiB live, 207.6MiB allocated; 29ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	358
1	387	341
2	1456	333
3	5769	332
0	8268	292

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

rewrite82.0ms (1.2%)

Memory

29.2MiB live, 128.7MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	144
0	50	144
1	164	144
0	1168	144

Stop Event

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

Counts

19 → 165

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

eval33.0ms (0.5%)

Memory: -27.0MiB live, 64.4MiB allocated; 10ms collecting garbage
Compiler: Compiled 4 664 to 903 computations (80.6% saved)

prune17.0ms (0.3%)

Memory

37.3MiB live, 37.3MiB allocated; 0ms collecting garbage

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	213	16	229
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	213	23	236

Accuracy

100.0%

Counts

236 → 23

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 (fma.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 (fma.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 (fma.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))
	31.1%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
	29.3%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.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 789 to 574 computations (27.2% saved)

simplify256.0ms (3.8%)

Memory

-36.5MiB live, 121.8MiB allocated; 122ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	345
0	68	351
1	115	351
2	284	351
3	944	344
4	3077	341
0	8127	338

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

localize161.0ms (2.4%)

Memory

-13.6MiB live, 223.6MiB allocated; 31ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(cos.f64 im)
accuracy	0.01171875	(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)
accuracy	23.32829396991787	#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)))
accuracy	29.937621233629727	#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))
accuracy	0.08984375	(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 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	30.590158603511814	#s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
accuracy	0.0390625	(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
accuracy	0.08984375	(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))
accuracy	30.590158603511814	#s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
accuracy	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

129.0ms

256×

valid

Compiler

Compiled 204 to 33 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 20.0ms (41.5% of total)

ival-add: 11.0ms (22.8% of total)

const: 7.0ms (14.5% of total)

ival-cos: 6.0ms (12.4% of total)

ival-exp: 2.0ms (4.1% of total)

ival-sub: 1.0ms (2.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

24.0MiB live, 24.0MiB allocated; 0ms collecting garbage

Counts

26 → 47

Calls

Call 1

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

Calls

6 calls:

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

simplify160.0ms (2.4%)

Memory

20.1MiB live, 257.3MiB allocated; 45ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	412
1	405	397
2	1515	389
3	6070	388
0	8058	347

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 46

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

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

rewrite100.0ms (1.5%)

Memory

-4.5MiB live, 85.6MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	277
0	68	277
1	234	277
0	1754	274

Stop Event

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

Counts

26 → 238

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (fma.f64 (.f64 im im) #s(literal 1/48 binary64) #s(literal 1/4 binary64)) (pow.f64 (.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (fma.f64 (.f64 im im) #s(literal 1/48 binary64) #s(literal 1/4 binary64)) (pow.f64 (.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (+.f64 (fma.f64 (.f64 im im) #s(literal 1/48 binary64) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (+.f64 (fma.f64 (.f64 im im) #s(literal 1/48 binary64) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 2 binary64)))))
(-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 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))))
(.f64 #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))
(fma.f64 (cosh.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))) (.f64 (sinh.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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(/.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 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #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 (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) #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 (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 (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))
(fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im))
(cos.f64 (neg.f64 (neg.f64 im)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(+.f64 (.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))

eval85.0ms (1.3%)

Memory: -26.4MiB live, 117.0MiB allocated; 69ms collecting garbage
Compiler: Compiled 11 808 to 1 520 computations (87.1% saved)

prune31.0ms (0.5%)

Memory

27.7MiB live, 73.0MiB allocated; 8ms collecting garbage

Pruning

28 alts after pruning (20 fresh and 8 done)

	Pruned	Kept	Total
New	408	9	417
Fresh	1	11	12
Picked	3	2	5
Done	0	6	6
Total	412	28	440

Accuracy

100.0%

Counts

440 → 28

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 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #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))
▶	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))))
▶	40.4%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (-.f64 (.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 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
	37.8%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #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))
	30.2%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (fma.f64 (.f64 im #s(literal 1/24 binary64)) 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 (fma.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))))
	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))
	16.9%	(.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))) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
	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))
	16.8%	(.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))) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
✓	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))
	31.1%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
	29.3%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.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 1 082 to 782 computations (27.7% saved)

simplify171.0ms (2.6%)

Memory

-10.7MiB live, 178.3MiB allocated; 28ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (-.f64 (.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 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (-.f64 (.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 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (-.f64 (.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 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
cost-diff	0	(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))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #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 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #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 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	463
0	86	463
1	154	463
2	365	463
3	1201	463
4	4339	463
0	8571	463

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

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

localize257.0ms (3.8%)

Memory

0.5MiB live, 335.3MiB allocated; 35ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3671875	(*.f64 #s(literal 1/6 binary64) re)
accuracy	16.140036507032725	(/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))
accuracy	20.451358876159716	#s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy	30.590158603511814	#s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
accuracy	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	30.594636934498904	#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #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	0.0	(exp.f64 re)
accuracy	0.0390625	(fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
accuracy	0.08984375	(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
accuracy	30.590158603511814	#s(approx (cos im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))

Samples

192.0ms

256×

valid

Compiler

Compiled 277 to 44 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-mult: 44.0ms (41.7% of total)

ival-sub: 19.0ms (18% of total)

ival-add: 16.0ms (15.2% of total)

const: 11.0ms (10.4% of total)

ival-cos: 7.0ms (6.6% of total)

ival-div: 4.0ms (3.8% of total)

ival-exp: 3.0ms (2.8% of total)

exact: 1.0ms (0.9% of total)

adjust: 0.0ms (0% of total)

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

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

series16.0ms (0.2%)

Memory

27.4MiB live, 27.4MiB allocated; 0ms collecting garbage

Counts

28 → 46

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	re	@	0	((* (exp re) (cos im)) (exp re) (cos im) (+ (* (+ (* (* im im) 1/24) -1/2) (* im im)) 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) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (- (* 1/6 re) 1/2)) re) 1) re) 1) (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (- (* 1/6 re) 1/2)) re) 1) (+ (* (* im im) 1/24) -1/2) (* im im) (* (- (/ 1 (* im im)) 1/2) im) (cos im) (+ (* 1/6 re) 1/2) (cos im) (/ (+ (* 1/36 (* re re)) -1/4) (- (* 1/6 re) 1/2)) (* 1/6 re))
3.0ms	re	@	inf	((* (exp re) (cos im)) (exp re) (cos im) (+ (* (+ (* (* im im) 1/24) -1/2) (* im im)) 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) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (- (* 1/6 re) 1/2)) re) 1) re) 1) (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (- (* 1/6 re) 1/2)) re) 1) (+ (* (* im im) 1/24) -1/2) (* im im) (* (- (/ 1 (* im im)) 1/2) im) (cos im) (+ (* 1/6 re) 1/2) (cos im) (/ (+ (* 1/36 (* re re)) -1/4) (- (* 1/6 re) 1/2)) (* 1/6 re))
2.0ms	re	@	-inf	((* (exp re) (cos im)) (exp re) (cos im) (+ (* (+ (* (* im im) 1/24) -1/2) (* im im)) 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) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (- (* 1/6 re) 1/2)) re) 1) re) 1) (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (- (* 1/6 re) 1/2)) re) 1) (+ (* (* im im) 1/24) -1/2) (* im im) (* (- (/ 1 (* im im)) 1/2) im) (cos im) (+ (* 1/6 re) 1/2) (cos im) (/ (+ (* 1/36 (* re re)) -1/4) (- (* 1/6 re) 1/2)) (* 1/6 re))
2.0ms	im	@	inf	((* (exp re) (cos im)) (exp re) (cos im) (+ (* (+ (* (* im im) 1/24) -1/2) (* im im)) 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) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (- (* 1/6 re) 1/2)) re) 1) re) 1) (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (- (* 1/6 re) 1/2)) re) 1) (+ (* (* im im) 1/24) -1/2) (* im im) (* (- (/ 1 (* im im)) 1/2) im) (cos im) (+ (* 1/6 re) 1/2) (cos im) (/ (+ (* 1/36 (* re re)) -1/4) (- (* 1/6 re) 1/2)) (* 1/6 re))
2.0ms	im	@	-inf	((* (exp re) (cos im)) (exp re) (cos im) (+ (* (+ (* (* im im) 1/24) -1/2) (* im im)) 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) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (- (* 1/6 re) 1/2)) re) 1) re) 1) (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (- (* 1/6 re) 1/2)) re) 1) (+ (* (* im im) 1/24) -1/2) (* im im) (* (- (/ 1 (* im im)) 1/2) im) (cos im) (+ (* 1/6 re) 1/2) (cos im) (/ (+ (* 1/36 (* re re)) -1/4) (- (* 1/6 re) 1/2)) (* 1/6 re))

simplify206.0ms (3.1%)

Memory

-27.5MiB live, 162.2MiB allocated; 61ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	414
1	397	401
2	1465	391
3	5998	390
0	8122	352

Stop Event

1×	iter limit
1×	node limit

Counts

46 → 46

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))
(* 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 (+ 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)))
(* -1/2 (pow im 2))
-1/2
(- (* 1/24 (pow im 2)) 1/2)
(pow im 2)
(/ 1 im)
(/ (+ 1 (* -1/2 (pow im 2))) im)
(* 1/24 (pow im 4))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(* 1/24 (pow im 2))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* -1/2 im)
(* im (- (/ 1 (pow im 2)) 1/2))
(* -1 (* im (- 1/2 (/ 1 (pow im 2)))))

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

rewrite83.0ms (1.2%)

Memory

37.4MiB live, 125.3MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	377
0	86	345
1	309	327
0	2152	327

Stop Event

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

Counts

28 → 264

Calls

Call 1

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

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

eval87.0ms (1.3%)

Memory: -22.6MiB live, 123.3MiB allocated; 23ms collecting garbage
Compiler: Compiled 9 177 to 1 457 computations (84.1% saved)

prune53.0ms (0.8%)

Memory

-11.0MiB live, 136.4MiB allocated; 14ms collecting garbage

Pruning

30 alts after pruning (19 fresh and 11 done)

	Pruned	Kept	Total
New	306	8	314
Fresh	4	11	15
Picked	2	3	5
Done	0	8	8
Total	312	30	342

Accuracy

100.0%

Counts

342 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	64.2%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	59.8%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 #s(approx (+ ( (* im im) 1/24) -1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #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)))))
	42.7%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 re (-.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) #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))))
	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))
✓	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))))
	30.8%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #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))))
	37.8%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (fma.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(approx (+ ( 1/6 re) 1/2) #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))
	30.2%	(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 im im) #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))))
	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))
	16.9%	(.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))) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
	19.0%	(.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))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	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))
	16.8%	(.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))) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
	19.2%	(.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))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	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 (fma.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)))))
	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 1 618 to 678 computations (58.1% saved)

regimes134.0ms (2%)

Memory

27.6MiB live, 164.7MiB allocated; 24ms collecting garbage

Counts

40 → 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 (fma.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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #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 (fma.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 (fma.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 (fma.f64 (.f64 im #s(literal 1/24 binary64)) im #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (fma.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) #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 (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 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.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))) #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))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (fma.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(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #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 (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #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))) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #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 (fma.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 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 re (-.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (-.f64 (.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 (fma.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 (/.f64 (.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #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)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)))
(.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 (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 (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 #s(approx (+ ( (* im im) 1/24) -1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (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:

40.0ms	im
31.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
26.0ms	(cos.f64 im)
19.0ms	re
14.0ms	(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)

regimes100.0ms (1.5%)

Memory

-21.1MiB live, 109.8MiB allocated; 37ms collecting garbage

Counts

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

Calls

5 calls:

18.0ms	im
13.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
10.0ms	re
10.0ms	(cos.f64 im)
8.0ms	(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)

regimes19.0ms (0.3%)

Memory

35.0MiB live, 35.0MiB allocated; 0ms collecting garbage

Counts

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

Calls

2 calls:

9.0ms	re
8.0ms	(*.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)

regimes45.0ms (0.7%)

Memory

-40.0MiB live, 39.9MiB allocated; 20ms 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 (fma.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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #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 (fma.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 (fma.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 (fma.f64 (.f64 im #s(literal 1/24 binary64)) im #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (fma.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) #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 (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 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.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))) #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))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (fma.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(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #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 (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #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))) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #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 (fma.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 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 re (-.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (-.f64 (.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 (fma.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 (/.f64 (.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #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)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)))
(.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 (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 (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 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (cos.f64 im))

Calls

1 calls:

43.0ms

re

Results

Accuracy	Segments	Branch
90.1%	4	`re`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes35.0ms (0.5%)

Memory

-23.0MiB live, 21.8MiB allocated; 8ms collecting garbage

Counts

32 → 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 (fma.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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #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 (fma.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 (fma.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 (fma.f64 (.f64 im #s(literal 1/24 binary64)) im #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (fma.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) #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 (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 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.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))) #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))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (fma.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(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #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 (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #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))) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #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 (fma.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 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 re (-.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (-.f64 (.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 (fma.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 (/.f64 (.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #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)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)))
(.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 (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:

9.0ms

re

Results

Accuracy	Segments	Branch
89.7%	4	`re`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes10.0ms (0.2%)

Memory

32.8MiB live, 32.8MiB allocated; 0ms collecting garbage

Counts

31 → 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 (fma.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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #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 (fma.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 (fma.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 (fma.f64 (.f64 im #s(literal 1/24 binary64)) im #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (fma.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) #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 (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 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.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))) #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))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (fma.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(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #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 (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #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))) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #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 (fma.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 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 re (-.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (-.f64 (.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 (fma.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 (/.f64 (.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #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)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)))
(.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 (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:

8.0ms

re

Results

Accuracy	Segments	Branch
89.4%	4	`re`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes109.0ms (1.6%)

Memory

-15.5MiB live, 76.5MiB allocated; 8ms collecting garbage

Counts

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

Calls

5 calls:

50.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
34.0ms	re
8.0ms	im
8.0ms	(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)

regimes27.0ms (0.4%)

Memory

-6.8MiB live, 45.9MiB allocated; 9ms 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 (fma.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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #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 (fma.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 (fma.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 (fma.f64 (.f64 im #s(literal 1/24 binary64)) im #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (fma.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) #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 (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 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.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))) #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))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (fma.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(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #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 (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #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))) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #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 (fma.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 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 re (-.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (-.f64 (.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 (fma.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 (/.f64 (.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #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)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)))
(.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))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
71.0%	3	`(exp.f64 re)`
74.2%	4	`re`
75.8%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes14.0ms (0.2%)

Memory

33.8MiB live, 33.8MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
70.5%	3	`re`
75.5%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes60.0ms (0.9%)

Memory

2.4MiB live, 90.7MiB allocated; 15ms collecting garbage

Counts

24 → 4

Calls

Call 1

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

Calls

5 calls:

30.0ms	(cos.f64 im)
7.0ms	im
6.0ms	re
6.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
5.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
42.7%	1	`im`
47.8%	2	`(cos.f64 im)`
50.7%	3	`re`
50.7%	3	`(exp.f64 re)`
56.5%	4	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes26.0ms (0.4%)

Memory

-23.5MiB live, 21.2MiB allocated; 4ms collecting garbage

Counts

20 → 4

Calls

Call 1

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

Calls

1 calls:

24.0ms

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

Results

Accuracy	Segments	Branch
55.6%	4	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes6.0ms (0.1%)

Memory

22.8MiB live, 22.8MiB allocated; 0ms collecting garbage

Counts

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
55.6%	4	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes63.0ms (0.9%)

Memory

-39.3MiB live, 19.7MiB allocated; 6ms collecting garbage

Counts

18 → 4

Calls

Call 1

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

Calls

1 calls:

61.0ms

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

Results

Accuracy	Segments	Branch
53.9%	4	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes10.0ms (0.1%)

Memory

27.3MiB live, 27.3MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

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

(*.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

2 calls:

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

Results

Accuracy	Segments	Branch
50.7%	3	`re`
51.8%	4	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes20.0ms (0.3%)

Memory

-24.4MiB live, 21.1MiB allocated; 3ms collecting garbage

Counts

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

Outputs

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

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

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

Calls

2 calls:

14.0ms	(exp.f64 re)
5.0ms	re

Results

Accuracy	Segments	Branch
50.6%	3	`(exp.f64 re)`
50.6%	3	`re`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes15.0ms (0.2%)

Memory

33.6MiB live, 33.6MiB allocated; 0ms 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 (fma.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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #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 (fma.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 (fma.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 (fma.f64 (.f64 im #s(literal 1/24 binary64)) im #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))

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

4 calls:

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

Results

Accuracy	Segments	Branch
43.8%	3	`(cos.f64 im)`
48.5%	4	`(*.f64 (exp.f64 re) (cos.f64 im))`
47.4%	3	`(exp.f64 re)`
49.7%	4	`re`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes18.0ms (0.3%)

Memory

-27.6MiB live, 17.9MiB allocated; 4ms collecting garbage

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

(*.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:

15.0ms	re
2.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
47.4%	3	`(exp.f64 re)`
47.4%	3	`re`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes13.0ms (0.2%)

Memory

-3.8MiB live, 40.9MiB allocated; 4ms collecting garbage

Counts

5 → 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 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
35.2%	2	`(cos.f64 im)`
31.7%	1	`im`
44.0%	4	`(*.f64 (exp.f64 re) (cos.f64 im))`
39.9%	3	`re`
39.9%	3	`(exp.f64 re)`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes2.0ms (0%)

Memory

9.5MiB live, 9.5MiB 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)

regimes5.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated; 0ms 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:

2.0ms	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

13.1MiB live, 13.1MiB 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)

regimes10.0ms (0.1%)

Memory

-29.5MiB live, 21.7MiB allocated; 8ms 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:

5.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms	re
1.0ms	im
1.0ms	(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)

bsearch75.0ms (1.1%)

Memory

6.2MiB live, 95.5MiB allocated; 9ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
42.0ms	1.4969880142331828e+102	1.461019044271864e+106
15.0ms	8.806174993553194	46246036.789926454
15.0ms	-0.029068734859224836	-0.00011817133837513503

Samples

55.0ms

384×

valid

Compiler

Compiled 980 to 777 computations (20.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-cos: 8.0ms (53% of total)

ival-exp: 4.0ms (26.5% of total)

ival-mult: 2.0ms (13.3% 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

4.6MiB live, 4.6MiB 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 776 to 658 computations (15.2% saved)

bsearch4.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB 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 728 to 626 computations (14% saved)

bsearch13.0ms (0.2%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
10.0ms	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 (55% of total)

ival-exp: 1.0ms (27.5% of total)

ival-mult: 1.0ms (27.5% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch47.0ms (0.7%)

Memory

-33.0MiB live, 11.3MiB allocated; 8ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
41.0ms	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 (79.3% 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

2.6MiB live, 2.5MiB 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

2.3MiB live, 2.3MiB 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

1.8MiB live, 1.8MiB 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

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	-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

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000015283	+inf
0.0ms	-0.0	4.432013108277099e-19
0.0ms	-inf	-2610.023969672077

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB 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	-inf	-2610.023969672077

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB 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	-inf	-2610.023969672077

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch50.0ms (0.7%)

Memory

-41.7MiB live, 39.6MiB allocated; 49ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
32.0ms	1.0033846924823813e-13	1.5282363930381744e-12
15.0ms	-1902347532.3549156	-42.26026285980251

Samples

15.0ms

240×

valid

Compiler

Compiled 824 to 595 computations (27.8% saved)

Precisions

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

ival-cos: 5.0ms (53% of total)

ival-exp: 3.0ms (31.8% of total)

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

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

adjust: 0.0ms (0% of total)

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

bsearch20.0ms (0.3%)

Memory

19.2MiB live, 19.2MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	9.082617898213718e+39	4.5875952274239207e+58
1.0ms	-1902347532.3549156	-42.26026285980251

Samples

10.0ms

160×

valid

Compiler

Compiled 1 164 to 851 computations (26.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-cos: 4.0ms (66% of total)

ival-exp: 1.0ms (16.5% of total)

ival-mult: 1.0ms (16.5% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch34.0ms (0.5%)

Memory

-1.8MiB live, 42.6MiB allocated; 13ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
21.0ms	8.724676453275048e+168	1.9784976349226214e+172
9.0ms	1.0033846924823813e-13	1.5282363930381744e-12
1.0ms	-1902347532.3549156	-42.26026285980251

Samples

20.0ms

208×

valid

Compiler

Compiled 1 238 to 907 computations (26.7% saved)

Precisions

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

ival-cos: 5.0ms (62% of total)

ival-exp: 2.0ms (24.8% of total)

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

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

adjust: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000001004	1.0000000000015283
0.0ms	0.0	4.432013108277099e-19

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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	-inf	-2610.023969672077

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

simplify85.0ms (1.3%)

Memory

2.7MiB live, 89.0MiB allocated; 15ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	183	2085
1	224	2085
2	346	2085
3	784	2085
4	2636	2085

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 #s(approx (+ (* (* im im) 1/24) -1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (.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 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) 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 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) 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 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) 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)))))
(if (<=.f64 re #s(literal -1080863910568919/72057594037927936 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) (+.f64 #s(literal 1 binary64) re)) (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)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 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))) #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)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1298074214633707/2596148429267413814265248164610048 binary64)) (.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251349453722511/2251799813685248 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 (fma.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) #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 (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)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1298074214633707/2596148429267413814265248164610048 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)) (.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 (fma.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) #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 (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (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)) (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 (fma.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) #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 (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)))) (.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 (fma.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) #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 (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 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 (+ ( (+ (* (+ (* 1/6 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))) #s(approx (cos im) (fma.f64 (fma.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) #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 (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 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 (+ ( (+ (* (+ (* 1/6 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 (cos im) (fma.f64 (fma.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) #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 (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)))) (.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 (fma.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)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) (if (<=.f64 re #s(literal 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)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) (if (<=.f64 re #s(literal 13000000000000000274029254993641849487360 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 (+ ( (+ (* (+ (* 1/6 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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(if (<=.f64 re #s(literal -490 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) (if (<=.f64 re #s(literal 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 (exp.f64 re) #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 (exp.f64 re) #s(literal 562949953421875/562949953421312 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 -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 (fma.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))
(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 #s(approx (+ (* (* im im) 1/24) -1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (.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 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) 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 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) 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 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) 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)))))
(if (<=.f64 re #s(literal -1080863910568919/72057594037927936 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) (+.f64 #s(literal 1 binary64) re)) (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)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 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))) #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)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1298074214633707/2596148429267413814265248164610048 binary64)) (.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251349453722511/2251799813685248 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 (fma.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) #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 (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)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1298074214633707/2596148429267413814265248164610048 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)) (.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 (fma.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) #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 (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (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)) (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 (fma.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) #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 (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)))) (.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 (fma.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) #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 (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) (pow.f64 im #s(literal -1 binary64))) 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 (fma.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) #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 (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 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 (+ ( (+ (* (+ (* 1/6 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))) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))))))
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#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 (19.2%)

Memory

11.8MiB live, 1 223.8MiB allocated; 165ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	412
1	405	397
2	1515	389
3	6070	388
0	8058	347
0	64	175
1	237	164
2	910	160
3	4069	156
0	8359	136
0	108	358
1	387	341
2	1456	333
3	5769	332
0	8268	292
0	120	414
1	397	401
2	1465	391
3	5998	390
0	8122	352

Stop Event

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

Compiler

Compiled 2 085 to 189 computations (90.9% saved)

preprocess194.0ms (2.9%)

Memory: -31.1MiB live, 205.6MiB allocated; 25ms collecting garbage
Remove: (abs im)
Compiler: Compiled 4 200 to 408 computations (90.3% saved)

end0.0ms (0%)

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