Metrics for math.exp on complex, real part

start0.0ms (0%)

Memory: 0.3MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 7 to 7 computations (0% saved)

sample1.0s (15%)

Memory

-41.1MiB live, 1 509.8MiB allocated

Samples

774.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 351.0ms

ival-cos: 194.0ms (55.3% of total)

ival-exp: 84.0ms (24% of total)

ival-mult: 62.0ms (17.7% of total)

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

ival-assert: 4.0ms (1.1% of total)

Bogosity

explain71.0ms (1%)

Memory

-4.6MiB live, 189.6MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

42.0ms

512×

valid

Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-cos: 16.0ms (54.3% of total)

ival-exp: 10.0ms (33.9% of total)

ival-mult: 3.0ms (10.2% of total)

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

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

preprocess18.0ms (0.3%)

Memory

7.2MiB live, 45.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	39	29
2	72	27
3	108	27
4	166	27
5	206	27
6	250	27
7	284	27
8	295	27
9	295	27
0	5	5
0	8	5
1	9	5
0	9	5

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(abs im)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.9MiB live, 0.9MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

simplify2.0ms (0%)

Memory

9.0MiB live, 9.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	8	11
1	9	11
0	9	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize28.0ms (0.4%)

Memory

-24.3MiB live, 53.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 re)
accuracy	0	(cos.f64 im)
accuracy	0.00390625	(*.f64 (exp.f64 re) (cos.f64 im))

Samples

23.0ms

256×

valid

Compiler

Compiled 24 to 12 computations (50% saved)

Precisions

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

ival-exp: 7.0ms (47.5% of total)

ival-cos: 5.0ms (33.9% of total)

ival-mult: 2.0ms (13.6% of total)

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

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

series5.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

3 → 48

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (exp.f64 re) #<representation binary64>) () ())
#s(alt #<batchref> (patch (cos.f64 im) #<representation binary64>) () ())

Inputs

#s(alt #<batchref> (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())

#s(alt #<batchref> (patch (exp.f64 re) #<representation binary64>) () ())

#s(alt #<batchref> (patch (cos.f64 im) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (cos.f64 im) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify174.0ms (2.6%)

Memory

30.0MiB live, 211.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	283
1	178	272
2	466	268
3	1054	264
4	1449	264
5	1861	264
6	2388	264
7	2895	264
8	3537	264
9	5585	264
10	7986	264
0	8047	242

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

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))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(exp re)
(exp re)
(exp re)
(exp re)
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(exp re)
(exp re)
(exp re)
(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 (* -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)))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(cos im)
(cos im)
(cos im)
(cos im)
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(cos im)
(cos im)
(cos im)
(cos im)

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

rewrite14.0ms (0.2%)

Memory

-8.3MiB live, 29.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
0	8	9
1	9	9
0	9	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Counts

3 → 4

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval5.0ms (0.1%)

Memory: 13.1MiB live, 13.1MiB allocated
Compiler: Compiled 550 to 63 computations (88.5% saved)

prune46.0ms (0.7%)

Memory

-31.2MiB live, 53.5MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	47	5	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	6	53

Accuracy

100.0%

Counts

53 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	63.4%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	70.6%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
▶	54.6%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
▶	69.7%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
▶	53.3%	#s(approx (* (exp re) (cos im)) (cos.f64 im))

Compiler

Compiled 105 to 89 computations (15.2% saved)

simplify6.0ms (0.1%)

Memory

21.0MiB live, 21.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	121
0	38	121
1	53	121
2	64	121
3	83	121
4	104	121
5	109	121
6	112	121
0	112	121

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize66.0ms (1%)

Memory

15.4MiB live, 126.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 re)
accuracy	0.00390625	(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
accuracy	0.00390625	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
accuracy	31.472619394212394	#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	0	(+.f64 #s(literal 1 binary64) re)
accuracy	0	(cos.f64 im)
accuracy	0.00390625	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
accuracy	29.038033807272665	#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
accuracy	0	(exp.f64 re)
accuracy	19.399354900521374	#s(approx (* (exp re) (cos im)) (exp.f64 re))
accuracy	0	(cos.f64 im)
accuracy	29.91569389550135	#s(approx (* (exp re) (cos im)) (cos.f64 im))
accuracy	0	(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
accuracy	0	(cos.f64 im)
accuracy	0.00390625	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
accuracy	18.812089375961982	#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))

Samples

41.0ms

256×

valid

Compiler

Compiled 204 to 41 computations (79.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 9.0ms (40.4% of total)

ival-cos: 6.0ms (26.9% of total)

ival-add: 5.0ms (22.5% of total)

ival-exp: 2.0ms (9% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Memory

-7.8MiB live, 30.1MiB allocated

Counts

14 → 228

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (*.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)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (cos.f64 im) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (exp.f64 re) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) re) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.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)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.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)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.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)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.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)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.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)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.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)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.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)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.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)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.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)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.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)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.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)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.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)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify221.0ms (3.3%)

Memory

19.3MiB live, 245.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	1405
1	223	1346
2	555	1326
3	1602	1306
4	4339	1306
5	5500	1306
6	6465	1306
7	7123	1306
0	8015	1192

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 226

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

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

rewrite209.0ms (3.1%)

Memory

-16.0MiB live, 267.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	99
0	38	99
1	98	99
2	568	99
3	5469	99
0	8913	99

Stop Event

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

Counts

14 → 348

Calls

Call 1

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

Outputs
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eval85.0ms (1.3%)

Memory: 33.2MiB live, 227.4MiB allocated
Compiler: Compiled 12 466 to 1 682 computations (86.5% saved)

prune28.0ms (0.4%)

Memory

-1.5MiB live, 117.7MiB allocated

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	605	13	618
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	606	18	624

Accuracy

100.0%

Counts

624 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	22.0%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
✓	70.6%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
	42.3%	(.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 (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))))
	42.0%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	54.6%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
▶	34.4%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #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))))
	34.2%	(.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))))
▶	69.7%	#s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re))
✓	69.7%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
✓	53.3%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
	47.3%	#s(approx (* (exp re) (cos 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))))
▶	42.9%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
	31.8%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
▶	31.2%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
	33.5%	#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))))
▶	32.6%	#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))))
	32.2%	#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 517 to 363 computations (29.8% saved)

simplify16.0ms (0.2%)

Memory

-5.4MiB live, 33.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	#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)))
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 (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))))
cost-diff	0	(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))
cost-diff	0	(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	#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))))
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	#s(approx (* (exp re) (cos im)) #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	#s(approx (exp re) #s(literal 1 binary64))
cost-diff	0	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
cost-diff	0	(E.f64)
cost-diff	0	#s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re))
cost-diff	64	(pow.f64 (E.f64) re)

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	223
0	50	223
1	80	223
2	123	223
3	265	221
4	498	221
5	600	221
6	610	221
7	611	221
0	611	221

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize317.0ms (4.7%)

Memory

-17.0MiB live, 101.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0390625	(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))
accuracy	0.078125	(fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
accuracy	29.038033807272665	#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
accuracy	31.525394232044835	#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)))
accuracy	0.0234375	(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	0.09375	(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))
accuracy	29.91569389550135	#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))))
accuracy	31.35186906523601	#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	(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
accuracy	0	(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
accuracy	18.812089375961982	#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy	19.399354900521374	#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
accuracy	19.399354900521374	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
accuracy	29.91475367004349	#s(approx (exp re) #s(literal 1 binary64))
accuracy	0	(E.f64)
accuracy	0.029073998030659097	(pow.f64 (E.f64) re)
accuracy	19.399354900521374	#s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re))

Samples

65.0ms

256×

valid

Compiler

Compiled 361 to 61 computations (83.1% saved)

Precisions

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

ival-mult: 15.0ms (31.3% of total)

ival-add: 11.0ms (22.9% of total)

const: 7.0ms (14.6% of total)

ival-cos: 6.0ms (12.5% of total)

ival-pow: 4.0ms (8.3% of total)

ival-exp: 2.0ms (4.2% of total)

ival-e: 2.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory

23.5MiB live, 23.5MiB allocated

Counts

19 → 276

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (pow.f64 (E.f64) re) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (E.f64) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (exp re) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #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)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #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)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) re) #<representation binary64>) () ())
#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (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)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (pow.f64 (E.f64) re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (pow.f64 (E.f64) re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (pow.f64 (E.f64) re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (pow.f64 (E.f64) re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (exp re) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (exp re) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (exp re) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (exp re) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #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)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #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)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #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)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #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)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (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)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (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)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (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)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (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)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #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)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #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)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #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)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #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)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #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)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #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)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #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)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #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)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (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)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (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)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (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)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (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)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	im	@	inf	((pow (E) re) (* (exp re) (cos im)) (E) (* (exp re) (cos im)) (exp re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (cos im)) (cos im) (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (+ (* 1/24 (* im im)) -1/2) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* -1/720 (* im im)) 1/24) (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2))
1.0ms	im	@	-inf	((pow (E) re) (* (exp re) (cos im)) (E) (* (exp re) (cos im)) (exp re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (cos im)) (cos im) (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (+ (* 1/24 (* im im)) -1/2) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* -1/720 (* im im)) 1/24) (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2))
1.0ms	re	@	inf	((pow (E) re) (* (exp re) (cos im)) (E) (* (exp re) (cos im)) (exp re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (cos im)) (cos im) (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (+ (* 1/24 (* im im)) -1/2) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* -1/720 (* im im)) 1/24) (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2))
1.0ms	re	@	-inf	((pow (E) re) (* (exp re) (cos im)) (E) (* (exp re) (cos im)) (exp re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (cos im)) (cos im) (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (+ (* 1/24 (* im im)) -1/2) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* -1/720 (* im im)) 1/24) (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2))
1.0ms	re	@	0	((pow (E) re) (* (exp re) (cos im)) (E) (* (exp re) (cos im)) (exp re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (cos im)) (cos im) (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (+ (* 1/24 (* im im)) -1/2) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* -1/720 (* im im)) 1/24) (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2))

simplify211.0ms (3.1%)

Memory

-53.8MiB live, 165.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	1845
1	346	1730
2	799	1710
3	2042	1674
4	5334	1674
5	6814	1674
6	7891	1674
0	8030	1526

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 274

Calls

Call 1

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

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

rewrite234.0ms (3.5%)

Memory

28.9MiB live, 299.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	186
0	50	186
1	192	184
2	1328	184
0	8233	184

Stop Event

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

Counts

19 → 382

Calls

Call 1

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

Outputs
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eval91.0ms (1.4%)

Memory: 24.8MiB live, 173.3MiB allocated
Compiler: Compiled 17 273 to 2 054 computations (88.1% saved)

prune106.0ms (1.6%)

Memory

-37.0MiB live, 115.8MiB allocated

Pruning

21 alts after pruning (13 fresh and 8 done)

	Pruned	Kept	Total
New	649	7	656
Fresh	2	6	8
Picked	2	3	5
Done	0	5	5
Total	653	21	674

Accuracy

100.0%

Counts

674 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	22.0%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
	45.6%	(.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 (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))))
✓	70.6%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
▶	42.3%	(.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 (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))))
▶	42.0%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	54.6%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
	34.4%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) (.f64 #s(literal -1/720 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
	34.2%	(.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))))
✓	69.7%	#s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re))
✓	69.7%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
✓	53.3%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
▶	47.3%	#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
▶	31.8%	#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re)))
✓	42.9%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
▶	14.8%	#s(approx (* (exp re) (cos 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))))
	14.8%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))))
✓	31.2%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
	33.5%	#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))))
	32.2%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	32.6%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))))

Compiler

Compiled 678 to 474 computations (30.1% saved)

simplify49.0ms (0.7%)

Memory

-1.6MiB live, 35.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 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))) #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))))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
cost-diff	0	#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
cost-diff	0	(*.f64 (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	#s(approx (* (exp re) (cos 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))))
cost-diff	0	(+.f64 #s(literal 1 binary64) re)
cost-diff	0	#s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re))
cost-diff	0	#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re)))
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 (pow (E) re) (fma.f64 (fma.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) (cos im)) #s(approx (pow (E) re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	328
0	62	328
1	95	328
2	141	328
3	301	324
4	645	324
5	875	324
6	899	324
7	900	324
0	900	324

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize162.0ms (2.4%)

Memory

9.6MiB live, 187.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0390625	(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))
accuracy	0.078125	(fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
accuracy	18.812089375961982	#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy	31.525394232044835	#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)))
accuracy	0.00390625	(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
accuracy	0.00390625	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
accuracy	18.812089375961982	#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy	31.472619394212394	#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	0.00390625	(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)
accuracy	18.812089375961982	#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	19.399354900521374	#s(approx (* (exp re) (cos 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))))
accuracy	32.92693719019273	#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))
accuracy	0	(+.f64 #s(literal 1 binary64) re)
accuracy	19.399354900521374	#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re)))
accuracy	29.038033807272665	#s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re))
accuracy	0.0546875	(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
accuracy	0.16796875	(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy	15.98590361525721	#s(approx (pow (E) re) (fma.f64 (fma.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	19.399354900521374	#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (fma.f64 (fma.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

112.0ms

256×

valid

Compiler

Compiled 529 to 78 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-add: 17.0ms (25.3% of total)

ival-mult: 17.0ms (25.3% of total)

ival-cos: 13.0ms (19.4% of total)

const: 11.0ms (16.4% of total)

ival-pow: 4.0ms (6% of total)

ival-exp: 2.0ms (3% of total)

ival-e: 2.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

series33.0ms (0.5%)

Memory

11.6MiB live, 52.2MiB allocated

Counts

22 → 324

Calls

Call 1

Inputs
#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (pow (E) re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) re) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (exp re) (cos 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)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.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)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.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 (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)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (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)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (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)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (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)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	re	@	inf	((* (exp re) (cos im)) (pow (E) re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (cos im)) (pow (E) re) (+ 1 re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (+ (* 1/2 re) 1) re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (cos im)) (+ (* 1/6 re) 1/2) (cos im) (+ (* (* im im) -1/2) 1) (cos im) (+ (* -1/720 (* im im)) 1/24) (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2))
2.0ms	re	@	-inf	((* (exp re) (cos im)) (pow (E) re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (cos im)) (pow (E) re) (+ 1 re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (+ (* 1/2 re) 1) re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (cos im)) (+ (* 1/6 re) 1/2) (cos im) (+ (* (* im im) -1/2) 1) (cos im) (+ (* -1/720 (* im im)) 1/24) (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2))
1.0ms	re	@	0	((* (exp re) (cos im)) (pow (E) re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (cos im)) (pow (E) re) (+ 1 re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (+ (* 1/2 re) 1) re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (cos im)) (+ (* 1/6 re) 1/2) (cos im) (+ (* (* im im) -1/2) 1) (cos im) (+ (* -1/720 (* im im)) 1/24) (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2))
1.0ms	im	@	-inf	((* (exp re) (cos im)) (pow (E) re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (cos im)) (pow (E) re) (+ 1 re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (+ (* 1/2 re) 1) re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (cos im)) (+ (* 1/6 re) 1/2) (cos im) (+ (* (* im im) -1/2) 1) (cos im) (+ (* -1/720 (* im im)) 1/24) (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2))
1.0ms	im	@	inf	((* (exp re) (cos im)) (pow (E) re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (cos im)) (pow (E) re) (+ 1 re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (+ (* 1/2 re) 1) re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (cos im)) (+ (* 1/6 re) 1/2) (cos im) (+ (* (* im im) -1/2) 1) (cos im) (+ (* -1/720 (* im im)) 1/24) (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2))

simplify201.0ms (3%)

Memory

23.9MiB live, 273.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	2137
1	426	1998
2	1090	1970
3	3380	1950
4	6505	1950
0	8210	1747

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 321

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

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

rewrite210.0ms (3.1%)

Memory

-7.5MiB live, 411.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	260
0	62	260
1	230	256
2	1587	256
0	8326	256

Stop Event

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

Counts

22 → 332

Calls

Call 1

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

Outputs
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eval179.0ms (2.7%)

Memory: -4.5MiB live, 286.1MiB allocated
Compiler: Compiled 24 848 to 2 271 computations (90.9% saved)

prune122.0ms (1.8%)

Memory

-27.0MiB live, 131.4MiB allocated

Pruning

29 alts after pruning (18 fresh and 11 done)

	Pruned	Kept	Total
New	789	10	799
Fresh	0	8	8
Picked	2	3	5
Done	0	8	8
Total	791	29	820

Accuracy

100.0%

Counts

820 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	22.0%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
	45.6%	(.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 (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))))
✓	70.6%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
	11.0%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
✓	54.6%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
	34.4%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) (.f64 #s(literal -1/720 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
	34.2%	(.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))))
	16.9%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (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))))
	16.8%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	69.7%	#s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re))
✓	69.7%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
✓	53.3%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
✓	47.3%	#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
	47.3%	#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
	47.3%	#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.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)))) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
	46.9%	#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))))
	35.2%	#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (.f64 (-.f64 #s(literal 1 binary64) re) (.f64 re re))) (.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) re)))))
✓	31.8%	#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re)))
	19.2%	#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re))))
	19.2%	#s(approx (* (exp re) (cos im)) #s(approx (pow (E) 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))))
✓	42.9%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
✓	14.8%	#s(approx (* (exp re) (cos 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))))
	14.8%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))))
	3.8%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 #s(approx (+ ( 1/2 re) 1) #s(literal 1 binary64)) re))))
✓	31.2%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
	33.5%	#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))))
	32.2%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	32.6%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))))

Compiler

Compiled 1 397 to 600 computations (57.1% saved)

regimes53.0ms (0.8%)

Memory

24.0MiB live, 97.5MiB allocated

Counts

36 → 1

Calls

Call 1

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

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

Calls

5 calls:

12.0ms	re
10.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
10.0ms	im
10.0ms	(cos.f64 im)
8.0ms	(exp.f64 re)

Results

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

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes71.0ms (1.1%)

Memory

-9.8MiB live, 75.5MiB allocated

Counts

35 → 5

Calls

Call 1

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

Calls

5 calls:

25.0ms	re
15.0ms	(exp.f64 re)
10.0ms	im
9.0ms	(cos.f64 im)
9.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
97.3%	4	`re`
86.0%	2	`im`
99.7%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`
93.0%	3	`(exp.f64 re)`
86.4%	2	`(cos.f64 im)`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes13.0ms (0.2%)

Memory

-11.3MiB live, 26.1MiB allocated

Counts

34 → 5

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

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

Results

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

Compiler

Compiled 5 to 5 computations (0% saved)

regimes10.0ms (0.1%)

Memory

23.8MiB live, 23.8MiB allocated

Counts

32 → 5

Calls

Call 1

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

Outputs
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (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 (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) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re))

Calls

1 calls:

8.0ms

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

Results

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

Compiler

Compiled 5 to 5 computations (0% saved)

regimes21.0ms (0.3%)

Memory

7.0MiB live, 45.1MiB allocated

Counts

31 → 5

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
91.6%	3	`re`
98.5%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes39.0ms (0.6%)

Memory

-20.7MiB live, 15.9MiB allocated

Counts

30 → 5

Calls

Call 1

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

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

Calls

1 calls:

37.0ms

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

Results

Accuracy	Segments	Branch
98.5%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes63.0ms (0.9%)

Memory

23.9MiB live, 71.6MiB allocated

Counts

29 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

30.0ms	re
9.0ms	im
8.0ms	(cos.f64 im)
7.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
7.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
64.6%	2	`im`
64.4%	2	`(cos.f64 im)`
73.5%	3	`re`
73.5%	3	`(exp.f64 re)`
76.3%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes74.0ms (1.1%)

Memory

-27.5MiB live, 87.6MiB allocated

Counts

28 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

28.0ms	im
9.0ms	(cos.f64 im)
8.0ms	re
7.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
6.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
54.5%	2	`(cos.f64 im)`
47.3%	1	`im`
51.8%	3	`(exp.f64 re)`
51.9%	3	`re`
56.9%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes11.0ms (0.2%)

Memory

32.5MiB live, 32.5MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
54.1%	2	`(cos.f64 im)`
54.1%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes17.0ms (0.2%)

Memory

-36.2MiB live, 12.5MiB allocated

Counts

16 → 2

Calls

Call 1

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
53.8%	2	`(cos.f64 im)`
53.9%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes9.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
52.4%	2	`(cos.f64 im)`
52.5%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes9.0ms (0.1%)

Memory

-19.5MiB live, 19.4MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

#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 (pow (E) re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
52.0%	2	`(cos.f64 im)`
52.2%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes7.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

#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 (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) (cos im)) #s(approx (pow (E) 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))))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
48.0%	2	`(cos.f64 im)`
52.5%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes14.0ms (0.2%)

Memory

0.9MiB live, 39.1MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
42.9%	1	`im`
42.9%	1	`(exp.f64 re)`
42.9%	1	`re`
48.1%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 9 to 12 computations (-33.3% saved)

regimes6.0ms (0.1%)

Memory

18.7MiB live, 18.7MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
38.5%	3	`(cos.f64 im)`
48.0%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes5.0ms (0.1%)

Memory

-25.7MiB live, 11.3MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
48.0%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes11.0ms (0.2%)

Memory

-3.9MiB live, 41.2MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
42.8%	2	`re`
31.8%	1	`im`
42.8%	2	`(exp.f64 re)`
42.8%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 9 to 12 computations (-33.3% saved)

regimes11.0ms (0.2%)

Memory

-4.5MiB live, 35.0MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
31.8%	1	`im`
31.8%	1	`(cos.f64 im)`
31.8%	1	`re`
31.8%	1	`(exp.f64 re)`
31.8%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes7.0ms (0.1%)

Memory

22.7MiB live, 22.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
31.2%	1	`(cos.f64 im)`
31.2%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
31.2%	1	`(exp.f64 re)`
31.2%	1	`re`
31.2%	1	`im`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999980691154267	1.0
0.0ms	2.5649549161722173e-26	0.00940004150834207
0.0ms	-0.026128387489654497	0.0
0.0ms	-inf	-0.9999176737820383

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999980691154267	1.0
0.0ms	2.5649549161722173e-26	0.00940004150834207
0.0ms	-0.026128387489654497	0.0
0.0ms	-inf	-0.9999176737820383

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999980691154267	1.0
0.0ms	2.5649549161722173e-26	0.00940004150834207
0.0ms	-0.026128387489654497	0.0
0.0ms	-inf	-0.9999176737820383

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch2.0ms (0%)

Memory

-36.4MiB live, 3.2MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999980691154267	1.0
0.0ms	2.5649549161722173e-26	0.00940004150834207
0.0ms	-0.026128387489654497	0.0
0.0ms	-inf	-0.9999176737820383

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999980691154267	1.0
0.0ms	2.5649549161722173e-26	0.00940004150834207
0.0ms	-0.026128387489654497	0.0
0.0ms	-inf	-0.9999176737820383

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999980691154267	1.0
0.0ms	-inf	-0.9999176737820383

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.5649549161722173e-26	0.00940004150834207

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.5649549161722173e-26	0.00940004150834207

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.5649549161722173e-26	0.00940004150834207

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.5649549161722173e-26	0.00940004150834207

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.5649549161722173e-26	0.00940004150834207

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.000000002307443	42959.75965837754
0.0ms	2.5649549161722173e-26	0.00940004150834207

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.5649549161722173e-26	0.00940004150834207

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.000000002307443	42959.75965837754
0.0ms	2.5649549161722173e-26	0.00940004150834207

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.000000002307443	42959.75965837754
0.0ms	2.5649549161722173e-26	0.00940004150834207

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.000000002307443	42959.75965837754

Compiler

Compiled 8 to 10 computations (-25% saved)

simplify41.0ms (0.6%)

Memory

14.1MiB live, 53.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	1116
1	145	1116

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) #s(approx ( (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503590931439451/4503599627370496 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) (cos im)) (pow.f64 (E.f64) re))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) #s(approx ( (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503590931439451/4503599627370496 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (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 (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)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503590931439451/4503599627370496 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (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 (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)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) #s(approx ( (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503590931439451/4503599627370496 binary64)) #s(approx ( (exp re) (cos im)) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (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 (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)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) #s(approx ( (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503590931439451/4503599627370496 binary64)) #s(approx ( (exp re) (cos im)) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (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 (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)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503590931439451/4503599627370496 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) #s(approx (* (exp re) (cos 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))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 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) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) (.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(approx ( (exp re) (cos 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)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(approx ( (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 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 (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 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 (pow (E) re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) #s(approx (* (exp re) (cos 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) (cos im)) #s(approx (pow (E) 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))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 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 (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re))) #s(approx (* (exp re) (cos 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))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #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 (exp re) (+.f64 #s(literal 1 binary64) re))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))

Outputs
(*.f64 (cos.f64 im) (exp.f64 re))
(if (<=.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal -inf.0 binary64)) (.f64 #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))) (exp.f64 re)) (if (<=.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (if (<=.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) #s(approx ( (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal 4503590931439451/4503599627370496 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) (cos im)) (pow.f64 (E.f64) re))))))
(if (<=.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal -inf.0 binary64)) (.f64 #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))) (exp.f64 re)) (if (<=.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (if (<=.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) #s(approx ( (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal 4503590931439451/4503599627370496 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re))))))
(if (<=.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal -inf.0 binary64)) (.f64 #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))) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))) (if (<=.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (if (<=.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal 4503590931439451/4503599627370496 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re))))))
(if (<=.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal -inf.0 binary64)) (.f64 #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))) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))) (if (<=.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) #s(approx ( (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal 4503590931439451/4503599627370496 binary64)) #s(approx ( (exp re) (cos im)) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re))))))
(if (<=.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal -inf.0 binary64)) (.f64 #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))) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))) (if (<=.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) #s(approx ( (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal 4503590931439451/4503599627370496 binary64)) #s(approx ( (exp re) (cos im)) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal -inf.0 binary64)) (.f64 #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))) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))) (if (<=.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal 4503590931439451/4503599627370496 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) #s(approx (* (exp re) (cos 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))))))
(if (<=.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 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) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) (.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64))))) #s(approx (* (exp re) (cos 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)))))
(if (<=.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) (.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re))) #s(approx ( (exp re) (cos 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)))))
(if (<=.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 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 (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 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 (pow (E) re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal 2 binary64)) #s(approx (* (exp re) (cos 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) (cos im)) #s(approx (pow (E) 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))))))
(if (<=.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 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 (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal 2 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re))) #s(approx (* (exp re) (cos 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))))))
(if (<=.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal 2 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))))))
(if (<=.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal 2 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))

soundness2.1s (31.9%)

Memory

-10.0MiB live, 1 281.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	1845
1	346	1730
2	799	1710
3	2042	1674
4	5334	1674
5	6814	1674
6	7891	1674
0	8030	1526
0	64	283
1	178	272
2	466	268
3	1054	264
4	1449	264
5	1861	264
6	2388	264
7	2895	264
8	3537	264
9	5585	264
10	7986	264
0	8047	242
0	23	99
0	38	99
1	98	99
2	568	99
3	5469	99
0	8913	99
0	79	1405
1	223	1346
2	555	1326
3	1602	1306
4	4339	1306
5	5500	1306
6	6465	1306
7	7123	1306
0	8015	1192
0	140	2137
1	426	1998
2	1090	1970
3	3380	1950
4	6505	1950
0	8210	1747

Stop Event

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

Compiler

Compiled 1 477 to 534 computations (63.8% saved)

preprocess132.0ms (2%)

Memory: -28.1MiB live, 212.1MiB allocated
Remove: (abs im)
Compiler: Compiled 2 262 to 290 computations (87.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	29
1	39	29
2	72	27
3	108	27
4	166	27
5	206	27
6	250	27
7	284	27
8	295	27
9	295	27
0	5	5
0	8	5
1	9	5
0	9	5

Iter	Nodes	Cost
0	31	223
0	50	223
1	80	223
2	123	223
3	265	221
4	498	221
5	600	221
6	610	221
7	611	221
0	611	221

Iter	Nodes	Cost
0	41	328
0	62	328
1	95	328
2	141	328
3	301	324
4	645	324
5	875	324
6	899	324
7	900	324
0	900	324

Iter	Nodes	Cost
0	15	29
1	39	29
2	72	27
3	108	27
4	166	27
5	206	27
6	250	27
7	284	27
8	295	27
9	295	27
0	5	5
0	8	5
1	9	5
0	9	5

Iter	Nodes	Cost
0	31	223
0	50	223
1	80	223
2	123	223
3	265	221
4	498	221
5	600	221
6	610	221
7	611	221
0	611	221

Iter	Nodes	Cost
0	41	328
0	62	328
1	95	328
2	141	328
3	301	324
4	645	324
5	875	324
6	899	324
7	900	324
0	900	324

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (15%)

explain71.0ms (1%)

preprocess18.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0%)

localize28.0ms (0.4%)

series5.0ms (0.1%)

simplify174.0ms (2.6%)

rewrite14.0ms (0.2%)

eval5.0ms (0.1%)

prune46.0ms (0.7%)

simplify6.0ms (0.1%)

localize66.0ms (1%)

series14.0ms (0.2%)

simplify221.0ms (3.3%)

rewrite209.0ms (3.1%)

eval85.0ms (1.3%)

prune28.0ms (0.4%)

simplify16.0ms (0.2%)

localize317.0ms (4.7%)

series18.0ms (0.3%)

simplify211.0ms (3.1%)

rewrite234.0ms (3.5%)

eval91.0ms (1.4%)

prune106.0ms (1.6%)

simplify49.0ms (0.7%)

localize162.0ms (2.4%)

series33.0ms (0.5%)

simplify201.0ms (3%)

rewrite210.0ms (3.1%)

eval179.0ms (2.7%)

prune122.0ms (1.8%)

regimes53.0ms (0.8%)

regimes71.0ms (1.1%)

regimes13.0ms (0.2%)

regimes10.0ms (0.1%)

regimes21.0ms (0.3%)

regimes39.0ms (0.6%)

regimes63.0ms (0.9%)

regimes74.0ms (1.1%)

regimes11.0ms (0.2%)

regimes17.0ms (0.2%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes14.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes11.0ms (0.2%)

regimes11.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify41.0ms (0.6%)

soundness2.1s (31.9%)

preprocess132.0ms (2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	29
1	39	29
2	72	27
3	108	27
4	166	27
5	206	27
6	250	27
7	284	27
8	295	27
9	295	27
0	5	5
0	8	5
1	9	5
0	9	5

Iter	Nodes	Cost
0	31	223
0	50	223
1	80	223
2	123	223
3	265	221
4	498	221
5	600	221
6	610	221
7	611	221
0	611	221

Iter	Nodes	Cost
0	41	328
0	62	328
1	95	328
2	141	328
3	301	324
4	645	324
5	875	324
6	899	324
7	900	324
0	900	324