Metrics for math.exp on complex, real part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample856.0ms (7.8%)

Memory

19.0MiB live, 1 248.5MiB allocated

Samples

626.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 391.0ms

ival-cos: 176.0ms (45.1% of total)

ival-mult: 128.0ms (32.8% of total)

ival-exp: 77.0ms (19.7% of total)

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

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

Bogosity

explain60.0ms (0.5%)

Memory

11.6MiB live, 88.6MiB 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

34.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

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

ival-cos: 11.0ms (50.3% of total)

ival-exp: 8.0ms (36.6% of total)

ival-mult: 3.0ms (13.7% of total)

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

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

preprocess22.0ms (0.2%)

Memory

-33.8MiB live, 26.7MiB 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 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))

Symmetry

(abs im)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

simplify2.0ms (0%)

Memory

3.7MiB live, 3.7MiB 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 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 re)
re
(cos.f64 im)
im

localize22.0ms (0.2%)

Memory

-3.5MiB live, 35.0MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

16.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-cos: 5.0ms (56.2% of total)

ival-exp: 2.0ms (22.5% of total)

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

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

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

series3.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

3 → 16

Calls

Call 1

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

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

Calls

6 calls:

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

simplify164.0ms (1.5%)

Memory

-13.9MiB live, 177.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	175
1	178	164
2	466	160
3	1054	156
4	1449	156
5	1861	156
6	2388	156
7	2895	156
8	3591	156
9	5622	156
0	8003	134

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 16

Calls

Call 1

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

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

rewrite12.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB 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
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(exp.f64 re)
(cos.f64 im)

eval2.0ms (0%)

Memory: 3.2MiB live, 3.2MiB allocated
Compiler: Compiled 250 to 58 computations (76.8% saved)

prune4.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	14	6	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	7	21

Accuracy

100.0%

Counts

21 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	60.1%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
▶	68.3%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	63.2%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
▶	59.4%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
▶	49.4%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
▶	49.0%	#s(approx (* (exp re) (cos im)) (cos.f64 im))

Compiler

Compiled 155 to 123 computations (20.6% saved)

simplify10.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	167
0	50	167
1	72	167
2	95	167
3	162	167
4	272	167
5	322	167
6	339	167
0	339	167

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize103.0ms (0.9%)

Memory

-14.1MiB live, 102.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0390625	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
accuracy	0.0546875	(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
accuracy	0.13671875	(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy	23.56698577360121	#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy	0.0	(cos.f64 im)
accuracy	0.00390625	(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #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))) (cos.f64 im))
accuracy	25.9786685333198	#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy	0.0	(+.f64 #s(literal 1 binary64) re)
accuracy	0.0	(cos.f64 im)
accuracy	0.00390625	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
accuracy	32.36789750365768	#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
accuracy	0.0	(cos.f64 im)
accuracy	32.63460589693014	#s(approx (* (exp re) (cos im)) (cos.f64 im))
accuracy	0.0	(*.f64 im im)
accuracy	0.0	(exp.f64 re)
accuracy	0.00390625	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
accuracy	30.173049074316186	#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))

Samples

53.0ms

256×

valid

Compiler

Compiled 116 to 25 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-add: 13.0ms (35.7% of total)

ival-mult: 11.0ms (30.2% of total)

ival-cos: 5.0ms (13.7% of total)

const: 4.0ms (11% of total)

ival-exp: 2.0ms (5.5% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB allocated

Counts

19 → 41

Calls

Call 1

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

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

Calls

6 calls:

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

simplify169.0ms (1.5%)

Memory

-26.6MiB live, 168.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	346
1	325	331
2	906	319
3	3082	315
4	6089	315
0	8099	269

Stop Event

1×	iter limit
1×	node limit

Counts

41 → 40

Calls

Call 1

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

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

rewrite303.0ms (2.8%)

Memory

2.4MiB live, 253.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	144
0	50	144
1	151	144
2	980	144
0	8835	144

Stop Event

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

Counts

19 → 438

Calls

Call 1

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

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

eval4.0s (36%)

Memory: 33.0MiB live, 143.6MiB allocated
Compiler: Compiled 12 568 to 2 208 computations (82.4% saved)

prune21.0ms (0.2%)

Memory

-39.9MiB live, 41.0MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	465	7	472
Fresh	0	1	1
Picked	2	3	5
Done	0	1	1
Total	467	12	479

Accuracy

100.0%

Counts

479 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	60.1%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
✓	68.3%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	31.8%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
	42.5%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	39.9%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	62.8%	(.f64 #s(approx (exp 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))) (cos.f64 im))
✓	49.4%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
	35.4%	(.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))))
▶	13.8%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (cos.f64 im))
▶	33.1%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	49.0%	#s(approx (* (exp re) (cos im)) (cos.f64 im))

Compiler

Compiled 342 to 260 computations (24% saved)

simplify10.0ms (0.1%)

Memory

21.0MiB live, 21.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	314
0	66	314
1	101	314
2	130	314
3	177	314
4	244	314
5	255	314
6	261	314
0	261	306

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize170.0ms (1.5%)

Memory

3.7MiB live, 233.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
accuracy	0.0546875	(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	0.109375	(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))
accuracy	30.079198316736758	#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	0.00390625	(.f64 (.f64 re re) #s(literal 1/2 binary64))
accuracy	0.00390625	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (cos.f64 im))
accuracy	25.9786685333198	#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64))))
accuracy	30.008781578091615	#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))
accuracy	0.00390625	(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #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	25.9786685333198	#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy	30.173049074316186	#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	0.0	(*.f64 im im)
accuracy	0.00390625	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
accuracy	30.173049074316186	#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	32.6316392032995	#s(approx (exp re) #s(literal 1 binary64))
accuracy	0.0390625	(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))
accuracy	0.13671875	(.f64 (.f64 re re) #s(literal 1/6 binary64))
accuracy	23.56698577360121	#s(approx (exp 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)))
accuracy	30.028436411175026	#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64)))

Samples

106.0ms

256×

valid

Compiler

Compiled 171 to 32 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 23.0ms (45.9% of total)

ival-add: 13.0ms (26% of total)

ival-cos: 6.0ms (12% of total)

const: 6.0ms (12% of total)

ival-exp: 2.0ms (4% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated

Counts

23 → 42

Calls

Call 1

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

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

Calls

6 calls:

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

simplify333.0ms (3%)

Memory

-46.5MiB live, 215.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	381
1	338	366
2	978	354
3	3399	346
4	6465	346
0	8154	299

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 42

Calls

Call 1

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

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

rewrite187.0ms (1.7%)

Memory

12.9MiB live, 207.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	263
0	66	263
1	194	263
2	1176	263
0	8216	255

Stop Event

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

Counts

23 → 289

Calls

Call 1

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

Outputs
(.f64 (cos.f64 im) #s(approx (exp 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))))
(.f64 #s(approx (exp 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))) (cos.f64 im))
#s(approx (exp 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)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (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)))))
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(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 im im)))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 im im) #s(literal -1/48 binary64)))))))
(.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 (.f64 im im) #s(literal -1/48 binary64))))))
(.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64)) (pow.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 im im) #s(literal -1/48 binary64)))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)))) (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) #s(literal -1/48 binary64)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 4 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/191102976 binary64) (pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 4 binary64)) (+.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/2304 binary64)))) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/191102976 binary64) (pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) #s(literal -1/48 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/2641807540224 binary64) (pow.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal -1/512 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/191102976 binary64) (pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/110592 binary64)))) (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 im im) #s(literal -1/48 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64))) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (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 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)))) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 (*.f64 im im) #s(literal -1/48 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) #s(literal -1/48 binary64))))))
(/.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 (*.f64 im im) #s(literal -1/48 binary64)))))
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) #s(literal -1/48 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 (*.f64 im im) #s(literal -1/48 binary64)))) (fma.f64 #s(literal 1/13824 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64))
(fma.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/4 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 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(fma.f64 im (*.f64 #s(literal 1/24 binary64) im) #s(literal -1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 im im)))) (/.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))))
(-.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)))))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 im im)))

eval53.0ms (0.5%)

Memory: 4.8MiB live, 87.8MiB allocated
Compiler: Compiled 13 410 to 1 629 computations (87.9% saved)

prune17.0ms (0.2%)

Memory

1.0MiB live, 40.1MiB allocated

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	389	7	396
Fresh	0	3	3
Picked	3	2	5
Done	0	4	4
Total	392	16	408

Accuracy

100.0%

Counts

408 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	68.3%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	31.8%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
▶	42.5%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	37.2%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
✓	39.9%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	39.9%	(.f64 #s(approx (exp re) (+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	49.4%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
	35.4%	(.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))))
	13.9%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	35.3%	(.f64 #s(approx (exp 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))))
▶	31.5%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
✓	33.1%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	33.1%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64))))))
▶	15.2%	(.f64 #s(approx (exp 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)))))
✓	49.0%	#s(approx (* (exp re) (cos im)) (cos.f64 im))

Compiler

Compiled 498 to 361 computations (27.5% saved)

simplify22.0ms (0.2%)

Memory

-8.3MiB live, 30.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	365
0	68	365
1	109	365
2	165	365
3	335	365
4	634	365
5	794	365
6	818	365
7	819	365
0	819	362

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize166.0ms (1.5%)

Memory

-4.3MiB live, 195.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.04296875	(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	0.10546875	(fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
accuracy	30.216523457883874	#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	32.6316392032995	#s(approx (exp re) #s(literal 1 binary64))
accuracy	0.00390625	(.f64 #s(approx (exp re) (+.f64 (.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	0.0078125	(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)
accuracy	25.9786685333198	#s(approx (exp re) (+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64)))
accuracy	30.173049074316186	#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	0.0546875	(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	0.109375	(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))
accuracy	30.079198316736758	#s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
accuracy	32.6316392032995	#s(approx (exp re) #s(literal 1 binary64))
accuracy	0.00390625	(.f64 #s(approx (exp 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)))))
accuracy	30.173049074316186	#s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))
accuracy	32.6316392032995	#s(approx (exp re) #s(literal 1 binary64))
accuracy	33.098234505759926	#s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
accuracy	0.0546875	(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
accuracy	0.13671875	(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy	23.56698577360121	#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy	30.173049074316186	#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))

Samples

131.0ms

256×

valid

Compiler

Compiled 218 to 36 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

const: 26.0ms (36.4% of total)

ival-mult: 19.0ms (26.6% of total)

ival-add: 12.0ms (16.8% of total)

ival-cos: 12.0ms (16.8% of total)

ival-exp: 2.0ms (2.8% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

19.7MiB live, 19.7MiB allocated

Counts

23 → 57

Calls

Call 1

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

Calls

6 calls:

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

simplify165.0ms (1.5%)

Memory

18.7MiB live, 168.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	512
1	380	501
2	1069	487
3	2987	475
4	6208	475
0	8285	419

Stop Event

1×	iter limit
1×	node limit

Counts

57 → 56

Calls

Call 1

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

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

rewrite187.0ms (1.7%)

Memory

10.1MiB live, 282.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	289
0	68	289
1	235	289
2	1622	289
0	8272	286

Stop Event

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

Counts

23 → 411

Calls

Call 1

Inputs
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(.f64 #s(approx (exp re) #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) #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 (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (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))
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))
(.f64 #s(approx (exp re) (+.f64 (.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) (+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)
(.f64 #s(approx (exp 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 (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))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(fma.f64 #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))
(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
(.f64 #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64))) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(.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 #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)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) #s(literal 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))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 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))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) #s(literal 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 (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) #s(literal 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 (/.f64 #s(literal 1/4 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 #s(literal 1/4 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 (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) #s(literal 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 #s(literal 1/4 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 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (neg.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 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) (.f64 #s(literal -1/2 binary64) im))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) #s(literal 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 (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)) #s(literal 1/4 binary64))) (.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)) (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 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #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)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.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 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) (*.f64 #s(literal -1/2 binary64) im))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) (.f64 #s(literal -1/2 binary64) im)))))
(/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal -1/4 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 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) (*.f64 #s(literal -1/2 binary64) im)))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64)) (-.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) (.f64 #s(literal -1/2 binary64) im))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) im)) (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) (.f64 #s(literal -1/2 binary64) im)))) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #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))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #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 (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (.f64 im im)) (pow.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal -1/24 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (.f64 im im)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im im) #s(literal -1/17280 binary64)))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (.f64 (.f64 im im) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (pow.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal -1/24 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (.f64 (.f64 im im) (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (pow.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im im) #s(literal -1/17280 binary64)))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) im #s(literal -1/2 binary64))
(fma.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) #s(literal 2 binary64))) (pow.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)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/4 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))
(fma.f64 (.f64 im im) (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 im (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) #s(literal -1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) im))) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) im))))
(-.f64 (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) #s(literal 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 #s(literal 1/4 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 (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) #s(literal 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))) (neg.f64 (/.f64 #s(literal 1/4 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 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im))

eval100.0ms (0.9%)

Memory: -11.9MiB live, 120.1MiB allocated
Compiler: Compiled 17 459 to 2 266 computations (87% saved)

prune32.0ms (0.3%)

Memory

-20.4MiB live, 53.8MiB allocated

Pruning

26 alts after pruning (15 fresh and 11 done)

	Pruned	Kept	Total
New	447	10	457
Fresh	0	5	5
Picked	0	5	5
Done	0	6	6
Total	447	26	473

Accuracy

100.0%

Counts

473 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	68.3%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	31.8%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
✓	42.5%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	42.5%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	37.2%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
✓	39.9%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	42.3%	(.f64 #s(approx (exp 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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	35.8%	(.f64 #s(approx (exp re) (+.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) re) (.f64 (.f64 #s(literal 1/2 binary64) re) re)) (.f64 re re)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) re) re)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	39.9%	(.f64 #s(approx (exp re) (+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	49.4%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
	35.4%	(.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))))
	16.4%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (.f64 re re)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	13.9%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	13.8%	(.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))))
✓	35.3%	(.f64 #s(approx (exp 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))))
	35.3%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))))
✓	31.5%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
	31.5%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))))
✓	33.1%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	31.3%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #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))))
	31.5%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (/.f64 #s(literal 1 binary64) (/.f64 #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))))))
	33.1%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64))))))
	21.4%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) #s(approx (+ ( (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/720 binary64)))))
✓	15.2%	(.f64 #s(approx (exp 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)))))
✓	49.0%	#s(approx (* (exp re) (cos im)) (cos.f64 im))

Compiler

Compiled 1 247 to 562 computations (54.9% saved)

regimes54.0ms (0.5%)

Memory

-2.1MiB live, 76.6MiB allocated

Counts

31 → 1

Calls

Call 1

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

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

Calls

5 calls:

15.0ms	re
13.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
9.0ms	im
9.0ms	(cos.f64 im)
6.0ms	(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)

regimes46.0ms (0.4%)

Memory

27.7MiB live, 64.4MiB allocated

Counts

30 → 4

Calls

Call 1

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

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

Calls

5 calls:

13.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
9.0ms	im
8.0ms	re
8.0ms	(cos.f64 im)
6.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
91.4%	4	`re`
80.2%	2	`im`
92.3%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`
88.3%	3	`(exp.f64 re)`
81.0%	2	`(cos.f64 im)`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes20.0ms (0.2%)

Memory

-24.0MiB live, 12.7MiB allocated

Counts

27 → 4

Calls

Call 1

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

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

Calls

1 calls:

18.0ms

re

Results

Accuracy	Segments	Branch
91.4%	4	`re`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes20.0ms (0.2%)

Memory

28.4MiB live, 28.4MiB allocated

Counts

25 → 4

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
85.4%	3	`(exp.f64 re)`
87.1%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`
89.5%	4	`re`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes52.0ms (0.5%)

Memory

-22.8MiB live, 63.9MiB allocated

Counts

24 → 4

Calls

Call 1

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

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

Calls

5 calls:

23.0ms	re
11.0ms	im
7.0ms	(cos.f64 im)
6.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
5.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
56.2%	2	`im`
56.2%	2	`(cos.f64 im)`
76.9%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`
75.2%	3	`(exp.f64 re)`
79.3%	4	`re`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes15.0ms (0.1%)

Memory

-12.5MiB live, 24.5MiB allocated

Counts

23 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

7.0ms	re
5.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
75.2%	3	`(exp.f64 re)`
75.2%	3	`re`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes18.0ms (0.2%)

Memory

38.4MiB live, 38.4MiB allocated

Counts

22 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
72.9%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`
71.2%	3	`re`
71.2%	3	`(exp.f64 re)`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes31.0ms (0.3%)

Memory

-20.0MiB live, 18.7MiB allocated

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

24.0ms	(exp.f64 re)
6.0ms	re

Results

Accuracy	Segments	Branch
71.1%	3	`re`
71.1%	3	`(exp.f64 re)`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes45.0ms (0.4%)

Memory

15.4MiB live, 62.6MiB allocated

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

21.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
6.0ms	im
6.0ms	re
6.0ms	(cos.f64 im)
4.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
42.5%	1	`im`
47.2%	3	`(cos.f64 im)`
53.3%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`
51.3%	2	`re`
51.3%	2	`(exp.f64 re)`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes14.0ms (0.1%)

Memory

-0.4MiB live, 38.2MiB allocated

Counts

15 → 2

Calls

Call 1

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

Calls

3 calls:

5.0ms	re
4.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
3.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
51.3%	2	`re`
51.3%	2	`(exp.f64 re)`
51.3%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes10.0ms (0.1%)

Memory

-19.3MiB live, 19.0MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

Calls

2 calls:

5.0ms	(exp.f64 re)
4.0ms	re

Results

Accuracy	Segments	Branch
51.0%	2	`re`
51.0%	2	`(exp.f64 re)`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes10.0ms (0.1%)

Memory

21.5MiB live, 21.5MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
51.4%	4	`(*.f64 (exp.f64 re) (cos.f64 im))`
51.2%	3	`re`
51.2%	3	`(exp.f64 re)`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes80.0ms (0.7%)

Memory

-20.0MiB live, 18.2MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

Calls

2 calls:

76.0ms	(exp.f64 re)
3.0ms	re

Results

Accuracy	Segments	Branch
48.6%	2	`re`
48.6%	2	`(exp.f64 re)`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes9.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
47.4%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`
48.6%	3	`re`
48.6%	3	`(exp.f64 re)`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes64.0ms (0.6%)

Memory

-36.6MiB live, 14.3MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

58.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
2.0ms	re
2.0ms	(cos.f64 im)
1.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
38.3%	2	`(cos.f64 im)`
46.9%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`
44.1%	2	`re`
44.1%	2	`(exp.f64 re)`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes5.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
44.1%	2	`(exp.f64 re)`
35.4%	1	`im`
44.1%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes4.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
41.6%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`
41.6%	2	`re`
41.6%	2	`(exp.f64 re)`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes6.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 #s(approx (exp 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)))))

Outputs
(.f64 #s(approx (exp 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)))))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
15.2%	1	`im`
15.2%	1	`(cos.f64 im)`
15.2%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
15.2%	1	`re`
15.2%	1	`(exp.f64 re)`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch82.0ms (0.7%)

Memory

13.4MiB live, 88.4MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
9.0ms	2.9501662177281315e+97	3.1656733364334953e+98
18.0ms	9.434841882427735e-10	0.02793819319313631
51.0ms	-0.6535595454405526	-1.9085896362362654e-26

Samples

29.0ms

416×

valid

Compiler

Compiled 644 to 596 computations (7.5% saved)

Precisions

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

ival-cos: 9.0ms (45.9% of total)

ival-mult: 6.0ms (30.6% of total)

ival-exp: 4.0ms (20.4% of total)

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

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

bsearch22.0ms (0.2%)

Memory

0.3MiB live, 36.6MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
18.0ms	1.582131514766295e+151	2.2645660306539834e+163
1.0ms	9.434841882427735e-10	0.02793819319313631
1.0ms	-0.6535595454405526	-1.9085896362362654e-26

Samples

9.0ms

160×

valid

Compiler

Compiled 758 to 690 computations (9% saved)

Precisions

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

ival-cos: 3.0ms (54.1% of total)

ival-exp: 1.0ms (18% of total)

ival-mult: 1.0ms (18% of total)

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

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

bsearch38.0ms (0.3%)

Memory

-23.6MiB live, 60.2MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	1.582131514766295e+151	2.2645660306539834e+163
15.0ms	9.434841882427735e-10	0.02793819319313631
19.0ms	-661482.0390374074	-0.6535595454405526

Samples

18.0ms

256×

valid

Compiler

Compiled 1 273 to 885 computations (30.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-exp: 6.0ms (47% of total)

ival-cos: 5.0ms (39.2% of total)

ival-mult: 2.0ms (15.7% of total)

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

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

bsearch5.0ms (0%)

Memory

11.8MiB live, 11.8MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	1.582131514766295e+151	2.2645660306539834e+163
1.0ms	9.434841882427735e-10	0.02793819319313631
1.0ms	-661482.0390374074	-0.6535595454405526

Compiler

Compiled 1 399 to 966 computations (31% saved)

bsearch9.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	9.434841882427735e-10	0.02793819319313631
1.0ms	-661482.0390374074	-0.6535595454405526

Samples

4.0ms

64×

valid

Compiler

Compiled 674 to 550 computations (18.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-exp: 1.0ms (41.1% of total)

ival-cos: 1.0ms (41.1% of total)

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

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

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

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000009434842	1.0283321245322157
0.0ms	0.0	0.5201908344309092

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000009434842	1.0283321245322157
0.0ms	0.0	0.5201908344309092

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.23009503959253658
0.0ms	-0.8296643406146657	-0.7762718463502274

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.5201908344309092

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.5201908344309092

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1244086890658922	+inf
0.0ms	0.0	0.5201908344309092

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.5201908344309092

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1244086890658922	+inf
0.0ms	0.0	0.5201908344309092

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.23009503959253658
0.0ms	-0.8296643406146657	-0.7762718463502274

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.5201908344309092

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch82.0ms (0.7%)

Memory

-12.5MiB live, 26.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
81.0ms	0.0	0.5201908344309092

Samples

72.0ms

224×

valid

Compiler

Compiled 498 to 430 computations (13.7% saved)

Precisions

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

ival-cos: 5.0ms (76.3% of total)

ival-mult: 1.0ms (15.3% of total)

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

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

simplify76.0ms (0.7%)

Memory

-11.1MiB live, 27.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	1127
1	192	1127
2	246	1127
3	392	1127
4	718	1127
5	964	1127
6	995	1127
7	1008	1127
8	1134	1127
9	2952	1127
10	5665	1127
11	6837	1127
12	7718	1127

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 re #s(literal -48999163945791/72057594037927936 binary64)) (.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 re #s(literal 3412647653636267/9223372036854775808 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (if (<=.f64 re #s(literal 310000000000000019014245712662110358685283889952815796240670737418194531012921783492273637299322880 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 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -48999163945791/72057594037927936 binary64)) (.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 re #s(literal 3412647653636267/9223372036854775808 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (if (<=.f64 re #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -1 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 re #s(literal 7926335344172073/288230376151711744 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (if (<=.f64 re #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (.f64 #s(approx (exp re) (+.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) re) (.f64 (.f64 #s(literal 1/2 binary64) re) re)) (.f64 re re)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) re) re)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -1 binary64)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) #s(approx (+ ( (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/720 binary64))))) (if (<=.f64 re #s(literal 7926335344172073/288230376151711744 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (if (<=.f64 re #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (.f64 #s(approx (exp re) (+.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) re) (.f64 (.f64 #s(literal 1/2 binary64) re) re)) (.f64 re re)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) re) re)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -1 binary64)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) #s(approx (+ ( (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/720 binary64))))) (if (<=.f64 re #s(literal 1116892707587883/72057594037927936 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (.f64 #s(approx (exp 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))))) (if (<=.f64 (exp.f64 re) #s(literal 2296835809958953/2251799813685248 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (.f64 #s(approx (exp 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))))) (if (<=.f64 (exp.f64 re) #s(literal 2296835809958953/2251799813685248 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/4503599627370496 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))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(approx (exp re) #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 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (.f64 #s(approx (exp 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 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (.f64 #s(approx (exp 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 #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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (.f64 #s(approx (exp 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))))) (if (<=.f64 (exp.f64 re) #s(literal 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)))) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (.f64 re re)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (.f64 #s(approx (exp 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)))))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (.f64 #s(approx (exp 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))))) (if (<=.f64 (exp.f64 re) #s(literal 2 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.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))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/4503599627370496 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(approx (exp re) #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) #s(literal 1 binary64)) #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))))))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (.f64 #s(approx (exp 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) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 re) #s(literal 534661009877601/35644067325173400145634153169533525975728347712879374457649941546088087243817792082077443838416964060770643043543706307114755505635745609361348916560329798345718708393439569922522454626926592 binary64)) (.f64 #s(approx (exp 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) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))

Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 re #s(literal -48999163945791/72057594037927936 binary64)) (.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 re #s(literal 3412647653636267/9223372036854775808 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (if (<=.f64 re #s(literal 310000000000000019014245712662110358685283889952815796240670737418194531012921783492273637299322880 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 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -48999163945791/72057594037927936 binary64)) (.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 re #s(literal 3412647653636267/9223372036854775808 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (if (<=.f64 re #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -1 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 re #s(literal 7926335344172073/288230376151711744 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (if (<=.f64 re #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (.f64 #s(approx (exp re) (+.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) re) (.f64 (.f64 #s(literal 1/2 binary64) re) re)) (.f64 re re)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) re) re)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -1 binary64)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) #s(approx (+ ( (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/720 binary64))))) (if (<=.f64 re #s(literal 7926335344172073/288230376151711744 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (if (<=.f64 re #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (.f64 #s(approx (exp re) (+.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) re) (.f64 (.f64 #s(literal 1/2 binary64) re) re)) (.f64 re re)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) re) re)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -1 binary64)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) #s(approx (+ ( (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/720 binary64))))) (if (<=.f64 re #s(literal 1116892707587883/72057594037927936 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (.f64 #s(approx (exp 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))))) (if (<=.f64 (exp.f64 re) #s(literal 2296835809958953/2251799813685248 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (.f64 #s(approx (exp 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))))) (if (<=.f64 (exp.f64 re) #s(literal 2296835809958953/2251799813685248 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/4503599627370496 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))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(approx (exp re) #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 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (.f64 #s(approx (exp 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 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (.f64 #s(approx (exp 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 #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 (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (.f64 #s(approx (exp 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))))) (if (<=.f64 (exp.f64 re) #s(literal 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)))) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (.f64 re re)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (.f64 #s(approx (exp 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)))))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (.f64 #s(approx (exp 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))))) (if (<=.f64 (exp.f64 re) #s(literal 2 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.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))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/4503599627370496 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(approx (exp re) #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) #s(literal 1 binary64)) #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))))))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (.f64 #s(approx (exp 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) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 re) #s(literal 534661009877601/35644067325173400145634153169533525975728347712879374457649941546088087243817792082077443838416964060770643043543706307114755505635745609361348916560329798345718708393439569922522454626926592 binary64)) (.f64 #s(approx (exp 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) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))

soundness2.7s (24.7%)

Memory

-8.8MiB live, 1 196.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	175
1	178	164
2	466	160
3	1054	156
4	1449	156
5	1861	156
6	2388	156
7	2895	156
8	3591	156
9	5622	156
0	8003	134
0	40	289
0	68	289
1	235	289
2	1622	289
0	8272	286
0	42	263
0	66	263
1	194	263
2	1176	263
0	8216	255
0	135	512
1	380	501
2	1069	487
3	2987	475
4	6208	475
0	8285	419
0	116	381
1	338	366
2	978	354
3	3399	346
4	6465	346
0	8154	299
0	108	346
1	325	331
2	906	319
3	3082	315
4	6089	315
0	8099	269

Stop Event

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

Compiler

Compiled 1 920 to 882 computations (54.1% saved)

preprocess290.0ms (2.6%)

Memory: 8.8MiB live, 126.9MiB allocated
Remove: (abs im)
Compiler: Compiled 2 284 to 350 computations (84.7% 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	42	314
0	66	314
1	101	314
2	130	314
3	177	314
4	244	314
5	255	314
6	261	314
0	261	306

Iter	Nodes	Cost
0	40	365
0	68	365
1	109	365
2	165	365
3	335	365
4	634	365
5	794	365
6	818	365
7	819	365
0	819	362

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	42	314
0	66	314
1	101	314
2	130	314
3	177	314
4	244	314
5	255	314
6	261	314
0	261	306

Iter	Nodes	Cost
0	40	365
0	68	365
1	109	365
2	165	365
3	335	365
4	634	365
5	794	365
6	818	365
7	819	365
0	819	362

start0.0ms (0%)

analyze0.0ms (0%)

sample856.0ms (7.8%)

explain60.0ms (0.5%)

preprocess22.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0%)

localize22.0ms (0.2%)

series3.0ms (0%)

simplify164.0ms (1.5%)

rewrite12.0ms (0.1%)

eval2.0ms (0%)

prune4.0ms (0%)

simplify10.0ms (0.1%)

localize103.0ms (0.9%)

series7.0ms (0.1%)

simplify169.0ms (1.5%)

rewrite303.0ms (2.8%)

eval4.0s (36%)

prune21.0ms (0.2%)

simplify10.0ms (0.1%)

localize170.0ms (1.5%)

series8.0ms (0.1%)

simplify333.0ms (3%)

rewrite187.0ms (1.7%)

eval53.0ms (0.5%)

prune17.0ms (0.2%)

simplify22.0ms (0.2%)

localize166.0ms (1.5%)

series9.0ms (0.1%)

simplify165.0ms (1.5%)

rewrite187.0ms (1.7%)

eval100.0ms (0.9%)

prune32.0ms (0.3%)

regimes54.0ms (0.5%)

regimes46.0ms (0.4%)

regimes20.0ms (0.2%)

regimes20.0ms (0.2%)

regimes52.0ms (0.5%)

regimes15.0ms (0.1%)

regimes18.0ms (0.2%)

regimes31.0ms (0.3%)

regimes45.0ms (0.4%)

regimes14.0ms (0.1%)

regimes10.0ms (0.1%)

regimes10.0ms (0.1%)

regimes80.0ms (0.7%)

regimes9.0ms (0.1%)

regimes64.0ms (0.6%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes6.0ms (0.1%)

bsearch82.0ms (0.7%)

bsearch22.0ms (0.2%)

bsearch38.0ms (0.3%)

bsearch5.0ms (0%)

bsearch9.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (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%)

bsearch82.0ms (0.7%)

simplify76.0ms (0.7%)

soundness2.7s (24.7%)

preprocess290.0ms (2.6%)

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	42	314
0	66	314
1	101	314
2	130	314
3	177	314
4	244	314
5	255	314
6	261	314
0	261	306

Iter	Nodes	Cost
0	40	365
0	68	365
1	109	365
2	165	365
3	335	365
4	634	365
5	794	365
6	818	365
7	819	365
0	819	362