Metrics for math.exp on complex, imaginary part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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)

sample976.0ms (8.7%)

Memory

18.8MiB live, 1 044.8MiB allocated

Samples

748.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 508.0ms

ival-sin: 308.0ms (60.6% of total)

ival-exp: 141.0ms (27.8% of total)

ival-mult: 49.0ms (9.6% of total)

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

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

Bogosity

explain77.0ms (0.7%)

Memory

-61.8MiB live, 127.0MiB allocated

FPErrors

Click to see full error table

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

35.0ms

512×

valid

Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions

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

ival-sin: 14.0ms (63.6% of total)

ival-exp: 4.0ms (18.2% of total)

ival-mult: 3.0ms (13.6% of total)

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

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

preprocess22.0ms (0.2%)

Memory

25.2MiB live, 25.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	31
1	38	29
2	77	27
3	148	27
4	295	27
5	440	27
6	461	27
7	475	27
8	482	27
9	482	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) (sin.f64 im))

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

Symmetry

(negabs im)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

simplify3.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

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

localize24.0ms (0.2%)

Memory

-12.4MiB live, 26.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 (exp.f64 re) (sin.f64 im))
accuracy	0.0	(sin.f64 im)
accuracy	0.0	(exp.f64 re)

Samples

16.0ms

256×

valid

Compiler

Compiled 24 to 12 computations (50% saved)

Precisions

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

ival-sin: 6.0ms (64% of total)

ival-exp: 2.0ms (21.3% of total)

ival-mult: 1.0ms (10.7% of total)

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

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

series3.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

3 → 18

Calls

Call 1

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

Outputs
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(* (exp re) (sin im))
(exp re)
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
im
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))

Calls

6 calls:

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

simplify174.0ms (1.5%)

Memory

-12.0MiB live, 174.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	192
1	221	181
2	584	169
3	1576	163
4	2434	163
5	3117	163
6	3586	163
7	3734	163
8	4023	163
9	5924	163
0	8211	141

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 17

Calls

Call 1

Inputs
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(* (exp re) (sin im))
(exp re)
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
im
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))

Outputs
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(fma.f64 (sin.f64 im) re (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin 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)) (sin.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))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(exp re)
(exp.f64 re)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (exp.f64 re))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) im) (exp.f64 re))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im)
im
(* im (+ 1 (* -1/6 (pow im 2))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im)
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im)

rewrite12.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB 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) (sin.f64 im))
(exp.f64 re)
(sin.f64 im)

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

eval2.0ms (0%)

Memory: 4.1MiB live, 4.1MiB allocated
Compiler: Compiled 262 to 64 computations (75.6% saved)

prune4.0ms (0%)

Memory

7.4MiB live, 7.4MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	15	6	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	7	22

Accuracy

100.0%

Counts

22 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
▶	65.9%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
▶	62.7%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
▶	52.2%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
	56.8%	#s(approx (* (exp re) (sin im)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
▶	65.7%	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
▶	51.5%	#s(approx (* (exp re) (sin im)) (sin.f64 im))

Compiler

Compiled 171 to 129 computations (24.6% saved)

simplify15.0ms (0.1%)

Memory

-24.2MiB live, 12.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	149
0	43	149
1	61	149
2	81	149
3	148	149
4	258	149
5	312	149
6	329	149
0	329	149

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

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

localize73.0ms (0.6%)

Memory

-2.9MiB live, 120.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
accuracy	0.0	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
accuracy	0.0	(sin.f64 im)
accuracy	23.787664882921323	#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	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
accuracy	0.0	(sin.f64 im)
accuracy	30.510831171543664	#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
accuracy	0.0	(exp.f64 re)
accuracy	0.0078125	(*.f64 (exp.f64 re) im)
accuracy	21.963158860191	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
accuracy	0.0	(sin.f64 im)
accuracy	31.04048857849979	#s(approx (* (exp re) (sin im)) (sin.f64 im))
accuracy	0.046875	(fma.f64 (fma.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	0.046875	(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
accuracy	0.16796875	(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy	21.797093293127205	#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))

Samples

49.0ms

256×

valid

Compiler

Compiled 255 to 47 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-add: 13.0ms (37.2% of total)

ival-mult: 10.0ms (28.6% of total)

ival-sin: 6.0ms (17.2% of total)

const: 4.0ms (11.4% of total)

ival-exp: 2.0ms (5.7% 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

20.6MiB live, 20.6MiB allocated

Counts

17 → 43

Calls

Call 1

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

Outputs
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin 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))))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
1/2
(+ 1/2 (* 1/6 re))
(* (exp re) (sin im))
(exp re)
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 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)))))
(* im (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 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)))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))

Calls

6 calls:

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

simplify188.0ms (1.7%)

Memory

-5.6MiB live, 188.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	381
1	406	366
2	1119	344
3	3959	338
4	7383	338
0	8095	287

Stop Event

1×	iter limit
1×	node limit

Counts

43 → 41

Calls

Call 1

Inputs
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin 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))))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
1/2
(+ 1/2 (* 1/6 re))
(* (exp re) (sin im))
(exp re)
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 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)))))
(* im (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 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)))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))

Outputs
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(fma.f64 (sin.f64 im) re (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(*.f64 (sin.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))
im
(+ im (* im re))
(fma.f64 im re im)
(+ im (* re (+ im (* 1/2 (* im re)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(exp re)
(exp.f64 re)
(* 1/6 (pow re 3))
(*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re)
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(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))
(* im (exp re))
(*.f64 im (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 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))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (exp.f64 re))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(.f64 (exp.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) im))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(.f64 (.f64 (exp.f64 re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))) im)
(* im (+ 1 (* -1/6 (pow im 2))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im)
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im)

rewrite4.1s (36.5%)

Memory

8.0MiB live, 258.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	128
0	43	128
1	128	128
2	826	128
0	8360	128

Stop Event

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

Counts

17 → 426

Calls

Call 1

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

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

eval71.0ms (0.6%)

Memory: -16.2MiB live, 173.1MiB allocated
Compiler: Compiled 13 128 to 2 188 computations (83.3% saved)

prune17.0ms (0.1%)

Memory

2.3MiB live, 40.9MiB allocated

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	462	9	471
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	462	16	478

Accuracy

100.0%

Counts

478 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
✓	65.9%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
	38.0%	(*.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 (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
✓	62.7%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
▶	35.8%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
▶	64.7%	(.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))) (sin.f64 im))
✓	52.2%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
	28.4%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
▶	14.5%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
	56.8%	#s(approx (* (exp re) (sin im)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
✓	65.7%	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
✓	51.5%	#s(approx (* (exp re) (sin im)) (sin.f64 im))
▶	32.6%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
	29.0%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
▶	25.9%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
	27.9%	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))

Compiler

Compiled 469 to 338 computations (27.9% saved)

simplify40.0ms (0.4%)

Memory

-5.8MiB live, 38.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
cost-diff	0	#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
cost-diff	0	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
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)))) (sin.f64 im))
cost-diff	0	(fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im)
cost-diff	0	(fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)
cost-diff	0	#s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))
cost-diff	0	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
cost-diff	0	(fma.f64 im re im)
cost-diff	0	#s(approx (* (exp re) im) (fma.f64 im re im))
cost-diff	0	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
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))) (sin.f64 im))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	319
0	70	319
1	112	319
2	169	319
3	271	319
4	490	319
5	690	319
6	835	319
7	847	319
8	853	319
9	853	319
10	865	319
11	865	319
0	865	315

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

localize104.0ms (0.9%)

Memory

13.7MiB live, 176.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
accuracy	0.04296875	(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
accuracy	23.787664882921323	#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy	31.481706165762912	#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
accuracy	0.0	(sin.f64 im)
accuracy	0.19960718619562068	(.f64 (.f64 re re) #s(literal 1/2 binary64))
accuracy	23.787664882921323	#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64))))
accuracy	32.024113767499756	#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))
accuracy	0.13671875	(*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
accuracy	0.16796875	(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy	21.963158860191	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
accuracy	22.680109886045834	#s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))
accuracy	0.0	(fma.f64 im re im)
accuracy	21.963158860191	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
accuracy	28.001918091458155	#s(approx (* (exp re) im) (fma.f64 im re im))
accuracy	0.046875	(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	0.3667335847333165	(.f64 (.f64 re re) #s(literal 1/6 binary64))
accuracy	21.797093293127205	#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	32.045327102816046	#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64)))

Samples

71.0ms

256×

valid

Compiler

Compiled 509 to 85 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 24.0ms (46.7% of total)

ival-add: 10.0ms (19.5% of total)

const: 7.0ms (13.6% of total)

ival-sin: 6.0ms (11.7% of total)

ival-pow: 3.0ms (5.8% of total)

ival-exp: 2.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory

-7.0MiB live, 30.6MiB allocated

Counts

25 → 72

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

Outputs
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin 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))))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(+ im (* 1/2 (* im re)))
(+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))
(* 1/2 (pow re 2))
(* 1/6 (pow re 2))
1/2
(+ 1/2 (* 1/6 re))
(* 1/2 im)
(+ (* 1/6 (* im re)) (* 1/2 im))
(* (exp re) (sin im))
(exp re)
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* im (exp re))
(* im re)
(* re (+ im (/ im re)))
(* 1/6 (* im (pow re 3)))
(* (pow re 3) (+ (* 1/6 im) (* 1/2 (/ im re))))
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (+ (/ im (pow re 2)) (/ im (pow re 3))))))
(* 1/6 (* im (pow re 2)))
(* (pow re 2) (+ (* 1/6 im) (* 1/2 (/ im re))))
(* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* 1/2 re)
(* re (+ 1/2 (/ 1 re)))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 (* im re))
(* re (+ (* 1/6 im) (* 1/2 (/ im re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(* -1 (* (pow re 3) (+ (* -1/2 (/ im re)) (* -1/6 im))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 im) (/ im re)) re)) (* -1/6 im))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)) re)) (* -1/6 im))))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re)) (* 1/6 im)))
(* -1 (* re (+ (* -1/2 (/ im re)) (* -1/6 im))))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* im (+ 1 re))
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* im (+ 1/2 (* 1/6 re)))
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(* -1/6 (pow im 3))
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6))
(* -1 (* im (- (* -1 re) 1)))
(* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1)))
(* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)))
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2)))))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	im	@	inf	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (* re re) 1/2) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (* re re) 1/6) (+ (* 1/6 re) 1/2) (* im (+ (* 1/6 re) 1/2)) (sin im) (sin im) (+ (* (pow im 3) -1/6) im))
3.0ms	im	@	-inf	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (* re re) 1/2) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (* re re) 1/6) (+ (* 1/6 re) 1/2) (* im (+ (* 1/6 re) 1/2)) (sin im) (sin im) (+ (* (pow im 3) -1/6) im))
3.0ms	re	@	-inf	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (* re re) 1/2) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (* re re) 1/6) (+ (* 1/6 re) 1/2) (* im (+ (* 1/6 re) 1/2)) (sin im) (sin im) (+ (* (pow im 3) -1/6) im))
2.0ms	re	@	inf	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (* re re) 1/2) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (* re re) 1/6) (+ (* 1/6 re) 1/2) (* im (+ (* 1/6 re) 1/2)) (sin im) (sin im) (+ (* (pow im 3) -1/6) im))
2.0ms	re	@	0	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (* re re) 1/2) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (* re re) 1/6) (+ (* 1/6 re) 1/2) (* im (+ (* 1/6 re) 1/2)) (sin im) (sin im) (+ (* (pow im 3) -1/6) im))

simplify172.0ms (1.5%)

Memory

0.9MiB live, 151.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	203	715
1	678	661
2	2144	629
3	6135	626
0	8457	541

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 71

Calls

Call 1

Inputs
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin 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))))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(+ im (* 1/2 (* im re)))
(+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))
(* 1/2 (pow re 2))
(* 1/6 (pow re 2))
1/2
(+ 1/2 (* 1/6 re))
(* 1/2 im)
(+ (* 1/6 (* im re)) (* 1/2 im))
(* (exp re) (sin im))
(exp re)
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* im (exp re))
(* im re)
(* re (+ im (/ im re)))
(* 1/6 (* im (pow re 3)))
(* (pow re 3) (+ (* 1/6 im) (* 1/2 (/ im re))))
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (+ (/ im (pow re 2)) (/ im (pow re 3))))))
(* 1/6 (* im (pow re 2)))
(* (pow re 2) (+ (* 1/6 im) (* 1/2 (/ im re))))
(* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* 1/2 re)
(* re (+ 1/2 (/ 1 re)))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 (* im re))
(* re (+ (* 1/6 im) (* 1/2 (/ im re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(* -1 (* (pow re 3) (+ (* -1/2 (/ im re)) (* -1/6 im))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 im) (/ im re)) re)) (* -1/6 im))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)) re)) (* -1/6 im))))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re)) (* 1/6 im)))
(* -1 (* re (+ (* -1/2 (/ im re)) (* -1/6 im))))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* im (+ 1 re))
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* im (+ 1/2 (* 1/6 re)))
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(* -1/6 (pow im 3))
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6))
(* -1 (* im (- (* -1 re) 1)))
(* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1)))
(* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)))
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2)))))

Outputs
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(fma.f64 (sin.f64 im) re (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im))
1
#s(literal 1 binary64)
(+ 1 re)
(-.f64 re #s(literal -1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* 1/2 re))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
im
(+ im (* im re))
(fma.f64 im re im)
(+ im (* re (+ im (* 1/2 (* im re)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 im re) im)
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re im)
(+ im (* 1/2 (* im re)))
(fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im)
(+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im)
(* 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))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* 1/2 im)
(*.f64 im #s(literal 1/2 binary64))
(+ (* 1/6 (* im re)) (* 1/2 im))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im)
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(exp re)
(exp.f64 re)
(* 1/6 (pow re 3))
(*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re)
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(* (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))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im re)
(*.f64 im re)
(* re (+ im (/ im re)))
(fma.f64 im re im)
(* 1/6 (* im (pow re 3)))
(.f64 (.f64 (pow.f64 re #s(literal 3 binary64)) im) #s(literal 1/6 binary64))
(* (pow re 3) (+ (* 1/6 im) (* 1/2 (/ im re))))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) (*.f64 re re))
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (+ (/ im (pow re 2)) (/ im (pow re 3))))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re im)
(* 1/6 (* im (pow re 2)))
(.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)
(* (pow re 2) (+ (* 1/6 im) (* 1/2 (/ im re))))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) im)
(* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im)
(* (pow re 2) (+ 1/2 (/ 1 re)))
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re)
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(* re (+ 1/2 (/ 1 re)))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* 1/6 (* im re))
(.f64 (.f64 im re) #s(literal 1/6 binary64))
(* re (+ (* 1/6 im) (* 1/2 (/ im re))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im)
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) re) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(*.f64 (-.f64 (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) re) re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) re)) re) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(fma.f64 im re im)
(* -1 (* (pow re 3) (+ (* -1/2 (/ im re)) (* -1/6 im))))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) (*.f64 re re))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 im) (/ im re)) re)) (* -1/6 im))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)) re)) (* -1/6 im))))
(*.f64 (fma.f64 im #s(literal 1/6 binary64) (/.f64 (fma.f64 im #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 im re) im) re)) re)) (pow.f64 re #s(literal 3 binary64)))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re)) (* 1/6 im)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im)
(* -1 (* re (+ (* -1/2 (/ im re)) (* -1/6 im))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im)
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(*.f64 (exp.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (exp.f64 re) (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64))) (*.f64 im (exp.f64 re)))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (exp.f64 re) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64))) (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (exp.f64 re))) im)
(* im (+ 1 re))
(fma.f64 im re im)
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re im)
(* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im)
(* im (+ 1/2 (* 1/6 re)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im)
(* im (+ 1 (* -1/6 (pow im 2))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im)
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im)
(* -1/6 (pow im 3))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
(* -1 (* im (- (* -1 re) 1)))
(fma.f64 im re im)
(* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re im)
(* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im)
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2)))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)

rewrite164.0ms (1.5%)

Memory

26.1MiB live, 181.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	289
0	70	289
1	217	289
2	1351	289
0	8328	285

Stop Event

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

Counts

25 → 389

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

Outputs
(.f64 (sin.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))) (sin.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)))))
(.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 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.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)) (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 (-.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)) (pow.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)) #s(literal -1 binary64)))
(.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 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.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)) (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re)))))
(.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 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (-.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)) (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) (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)))
(pow.f64 (/.f64 #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(literal -1 binary64))
(/.f64 (-.f64 (pow.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)) (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(literal 3 binary64)) (pow.f64 (pow.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)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.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)) (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 (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)) (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 (pow.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)) #s(literal -1 binary64)) (pow.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)) #s(literal -1 binary64)) (.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)) (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))) (pow.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)) #s(literal -1 binary64))))))
(/.f64 (neg.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)))) (neg.f64 (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)))))
(/.f64 (neg.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 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (-.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)) (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 (neg.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)))) (neg.f64 (-.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 (.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 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.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)) (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 (-.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 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.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 4 binary64)) (+.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)))) (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 (-.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 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.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 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.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)) (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 (.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 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.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 6 binary64)) (-.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 3 binary64)))) (+.f64 (-.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)) (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 (-.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)) (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 (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(literal 1 binary64))) (.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)) (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(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #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)))))
(/.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))) (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))))
(/.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 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.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)) (.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 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.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)) (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 (-.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)) (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 (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.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)) (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im))))
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(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 9 binary64)) (pow.f64 im #s(literal 3 binary64)))) (neg.f64 (fma.f64 im im (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 9 binary64)) (pow.f64 im #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 im (-.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 (neg.f64 im) im)) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 9 binary64)) (pow.f64 im #s(literal 3 binary64))) (fma.f64 im im (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64))))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 9 binary64)) (pow.f64 im #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 im (-.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))) (-.f64 (.f64 im im) (*.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 im im (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64))))) (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 9 binary64)) (pow.f64 im #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3/2 binary64))) (pow.f64 im #s(literal 3/2 binary64)) im)
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im)
(fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 im im) im)
(fma.f64 (pow.f64 im #s(literal 3/2 binary64)) (*.f64 (pow.f64 im #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) im)
(fma.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))))
(fma.f64 (.f64 im im) (.f64 im #s(literal -1/6 binary64)) im)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
(fma.f64 im (.f64 (.f64 im im) #s(literal -1/6 binary64)) im)
(-.f64 (/.f64 (.f64 im im) (-.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))) (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64))) (-.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64))) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)) (/.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)))
(+.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64))) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)) (neg.f64 (/.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))))
(+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)
(+.f64 im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))

eval65.0ms (0.6%)

Memory: 12.3MiB live, 132.1MiB allocated
Compiler: Compiled 16 836 to 2 283 computations (86.4% saved)

prune27.0ms (0.2%)

Memory

-13.3MiB live, 60.9MiB allocated

Pruning

23 alts after pruning (15 fresh and 8 done)

	Pruned	Kept	Total
New	431	14	445
Fresh	4	1	5
Picked	3	2	5
Done	0	6	6
Total	438	23	461

Accuracy

100.0%

Counts

461 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
✓	65.9%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
✓	62.7%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
	35.8%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
✓	64.7%	(.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))) (sin.f64 im))
	37.7%	(.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 (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
✓	52.2%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
▶	56.8%	#s(approx (* (exp re) (sin im)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
✓	65.7%	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
✓	51.5%	#s(approx (* (exp re) (sin im)) (sin.f64 im))
	32.6%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (.f64 im #s(literal 1/6 binary64)) re (.f64 im #s(literal 1/2 binary64))) re im) re im)))
	32.6%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 im re) im) re im)))
▶	32.6%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) re im) re im)))
	33.3%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im)))
	33.3%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re im) re im)))
	27.5%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))) re im) re im)))
	29.0%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im #s(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64))) re im) re im)))
▶	33.0%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im)))
✓	25.9%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
▶	25.9%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
	12.5%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
	12.5%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) (*.f64 re re)))))
▶	5.1%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))

Compiler

Compiled 968 to 628 computations (35.1% saved)

simplify205.0ms (1.8%)

Memory

-3.5MiB live, 166.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) re im) re im)
cost-diff	0	#s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) re im) re im))
cost-diff	0	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) re im) re im)))
cost-diff	1088	(/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 im re im))
cost-diff	0	#s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im))))
cost-diff	0	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))
cost-diff	0	#s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im))
cost-diff	0	(fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im)
cost-diff	0	#s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im))
cost-diff	0	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im)))
cost-diff	0	(*.f64 im re)
cost-diff	0	#s(approx (+ (* im re) im) (*.f64 im re))
cost-diff	0	#s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re)))
cost-diff	0	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) (exp.f64 re))
cost-diff	0	#s(approx (* (exp re) (sin im)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	416
0	77	404
1	129	390
2	231	390
3	525	388
4	1529	388
5	3634	388
6	5335	388
7	5795	388
8	6172	388
9	6275	388
10	6375	388
11	7288	388
12	7304	388
13	7363	388
14	7377	388
15	7445	388
16	7458	388
17	7962	388
0	8070	386

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) (exp.f64 re))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 im im)
im
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(exp.f64 re)
re
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re)))
#s(approx (+ (* im re) im) (*.f64 im re))
(*.f64 im re)
im
re
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im)))
#s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im))
(fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im)
#s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im))
(.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)
(.f64 (.f64 re re) #s(literal 1/6 binary64))
(*.f64 re re)
re
#s(literal 1/6 binary64)
im
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
#s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 im re im))
(fma.f64 im re im)
im
re
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) re im) re im)))
#s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) re im) re im))
(fma.f64 (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) re im) re im)
(fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) re im)
(/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))))
im
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
#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)

Outputs
#s(approx (* (exp re) (sin im)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
#s(approx (* (exp re) (sin im)) (.f64 (fma.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/5040 binary64) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/120 binary64) im) im #s(literal -1/6 binary64)) im)) (exp.f64 re)))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im)
(.f64 (fma.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/5040 binary64) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/120 binary64) im) im #s(literal -1/6 binary64)) im)) (exp.f64 re))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) (exp.f64 re))
(.f64 (exp.f64 re) (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 im im)
im
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(exp.f64 re)
re
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re)))
#s(approx (+ (* im re) im) (*.f64 im re))
(*.f64 im re)
im
re
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im)))
#s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im))
(fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im)
#s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im))
(.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)
(.f64 (.f64 re re) #s(literal 1/6 binary64))
(*.f64 re re)
re
#s(literal 1/6 binary64)
im
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im))))
#s(approx (* (exp re) im) (fma.f64 im re im))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))
(fma.f64 im re im)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 im re im))
(fma.f64 im re im)
im
re
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 im re) im) re im)))
#s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) re im) re im))
#s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 im re) im) re im))
(fma.f64 (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) re im) re im)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 im re) im) re im)
(fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) re im)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 im re) im)
(/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im)
im
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
#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)

localize227.0ms (2%)

Memory

-14.9MiB live, 182.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.13671875	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
accuracy	0.16796875	(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy	21.963158860191	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) re im) re im)))
accuracy	22.680109886045834	#s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) re im) re im))
accuracy	0.1640625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))
accuracy	0.41720108970492653	(/.f64 #s(literal 1 binary64) (fma.f64 im re im))
accuracy	21.963158860191	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
accuracy	28.001918091458155	#s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im))))
accuracy	8.8865863973284	(.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)
accuracy	21.963158860191	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im)))
accuracy	22.680109886045834	#s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im))
accuracy	31.79778430012145	#s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im))
accuracy	0.0	(*.f64 im re)
accuracy	21.963158860191	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
accuracy	28.001918091458155	#s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re)))
accuracy	31.797746521827083	#s(approx (+ (* im re) im) (*.f64 im re))
accuracy	0.0390625	(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64))
accuracy	0.5064503221668595	(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))
accuracy	6.644494097211979	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) (exp.f64 re))
accuracy	20.868071897855337	#s(approx (* (exp re) (sin im)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))

Samples

154.0ms

256×

valid

Compiler

Compiled 696 to 95 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-sin: 67.0ms (50.7% of total)

ival-mult: 25.0ms (18.9% of total)

const: 21.0ms (15.9% of total)

ival-add: 9.0ms (6.8% of total)

ival-div: 8.0ms (6.1% of total)

ival-exp: 2.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory

30.6MiB live, 30.6MiB allocated

Counts

24 → 99

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) (exp.f64 re))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re)))
#s(approx (+ (* im re) im) (*.f64 im re))
(*.f64 im re)
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im)))
#s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im))
(fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im)
#s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
#s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im))))
(/.f64 #s(literal 1 binary64) (fma.f64 im re im))
(/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) re im) re im)))
#s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) re im) re im))
(fma.f64 (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) re im) re im)
(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))
(.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))

Outputs
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))
(+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(+ 1 (+ (* re (+ 1 (+ (* 1/2 (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(+ 1 (+ (* re (+ 1 (+ (* re (+ (* 1/6 (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))) (* 1/2 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(* im re)
(+ im (* 1/2 (* im re)))
(+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))
(/ 1 im)
(+ (* -1 (/ re im)) (/ 1 im))
(+ (* re (- (/ re im) (/ 1 im))) (/ 1 im))
(+ (* re (- (* re (+ (* -1 (/ re im)) (/ 1 im))) (/ 1 im))) (/ 1 im))
(* 1/2 im)
(+ (* 1/6 (* im re)) (* 1/2 im))
(* 1/6 (* im (pow re 2)))
1/2
(+ 1/2 (* 1/6 re))
2
(+ 2 (* -2/3 re))
(+ 2 (* re (- (* 2/9 re) 2/3)))
(+ 2 (* re (- (* re (+ 2/9 (* -2/27 re))) 2/3)))
(* (exp re) (sin im))
(* (exp re) (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(* im (exp re))
(* re (+ im (/ im re)))
(* 1/6 (* im (pow re 3)))
(* (pow re 3) (+ (* 1/6 im) (* 1/2 (/ im re))))
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (+ (/ im (pow re 2)) (/ im (pow re 3))))))
(* (pow re 2) (+ (* 1/6 im) (* 1/2 (/ im re))))
(* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(/ 1 (* im re))
(/ (- (/ 1 im) (/ 1 (* im re))) re)
(/ (- (+ (/ 1 im) (/ 1 (* im (pow re 2)))) (/ 1 (* im re))) re)
(/ (- (+ (/ 1 im) (/ 1 (* im (pow re 2)))) (+ (/ 1 (* im re)) (/ 1 (* im (pow re 3))))) re)
(* 1/6 (* im re))
(* re (+ (* 1/6 im) (* 1/2 (/ im re))))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(/ 6 re)
(/ (- 6 (* 18 (/ 1 re))) re)
(/ (- (+ 6 (/ 54 (pow re 2))) (* 18 (/ 1 re))) re)
(/ (- (+ 6 (/ 54 (pow re 2))) (+ (* 18 (/ 1 re)) (* 162 (/ 1 (pow re 3))))) re)
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(* -1 (* (pow re 3) (+ (* -1/2 (/ im re)) (* -1/6 im))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 im) (/ im re)) re)) (* -1/6 im))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)) re)) (* -1/6 im))))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re)) (* 1/6 im)))
(* -1 (/ (- (/ 1 (* im re)) (/ 1 im)) re))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* im re)) (/ 1 im)) re)) (/ 1 im)) re))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* im re)) (/ 1 im)) re)) (/ 1 im)) re)) (/ 1 im)) re))
(* -1 (* re (+ (* -1/2 (/ im re)) (* -1/6 im))))
(* -1 (/ (- (* 18 (/ 1 re)) 6) re))
(* -1 (/ (- (* -1 (/ (- (* 54 (/ 1 re)) 18) re)) 6) re))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 162 (/ 1 re)) 54) re)) 18) re)) 6) re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(exp re)
(+ (exp re) (* -1/6 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))
1
(+ 1 (* -1/6 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))
-1/6
(- (* 1/120 (pow im 2)) 1/6)
(- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)
(* im (+ 1 re))
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(/ 1 (* im (+ 1 re)))
(* im (+ 1/2 (* 1/6 re)))
1/120
(+ 1/120 (* -1/5040 (pow im 2)))
(* -1/5040 (* (pow im 6) (exp re)))
(* (pow im 6) (+ (* -1/5040 (exp re)) (* 1/120 (/ (exp re) (pow im 2)))))
(* (pow im 6) (+ (* -1/6 (/ (exp re) (pow im 4))) (+ (* -1/5040 (exp re)) (* 1/120 (/ (exp re) (pow im 2))))))
(* (pow im 6) (+ (* -1/6 (/ (exp re) (pow im 4))) (+ (* -1/5040 (exp re)) (+ (* 1/120 (/ (exp re) (pow im 2))) (/ (exp re) (pow im 6))))))
(* -1/5040 (pow im 6))
(* (pow im 6) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 6) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* (pow im 6) (- (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* -1/5040 (pow im 4))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* -1/5040 (pow im 2))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* -1 (* im (- (* -1 re) 1)))
(* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1)))
(* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)))
(/ -1 (* im (- (* -1 re) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	re	@	0	((* (exp re) (sin im)) (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* im re) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (/ 1 (/ 1 (+ (* im re) im))) (* (exp re) (sin im)) (* (exp re) im) (/ 1 (+ (* im re) im)) (/ im (/ 1 (+ (* 1/6 re) 1/2))) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (/ im (/ 1 (+ (* 1/6 re) 1/2))) re) im) re) im) (+ (* -1/5040 (* im im)) 1/120) (* (* (* re re) 1/6) im) (+ (* 1/6 re) 1/2) (/ 1 (+ (* 1/6 re) 1/2)))
4.0ms	im	@	-inf	((* (exp re) (sin im)) (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* im re) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (/ 1 (/ 1 (+ (* im re) im))) (* (exp re) (sin im)) (* (exp re) im) (/ 1 (+ (* im re) im)) (/ im (/ 1 (+ (* 1/6 re) 1/2))) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (/ im (/ 1 (+ (* 1/6 re) 1/2))) re) im) re) im) (+ (* -1/5040 (* im im)) 1/120) (* (* (* re re) 1/6) im) (+ (* 1/6 re) 1/2) (/ 1 (+ (* 1/6 re) 1/2)))
4.0ms	im	@	inf	((* (exp re) (sin im)) (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* im re) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (/ 1 (/ 1 (+ (* im re) im))) (* (exp re) (sin im)) (* (exp re) im) (/ 1 (+ (* im re) im)) (/ im (/ 1 (+ (* 1/6 re) 1/2))) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (/ im (/ 1 (+ (* 1/6 re) 1/2))) re) im) re) im) (+ (* -1/5040 (* im im)) 1/120) (* (* (* re re) 1/6) im) (+ (* 1/6 re) 1/2) (/ 1 (+ (* 1/6 re) 1/2)))
4.0ms	re	@	inf	((* (exp re) (sin im)) (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* im re) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (/ 1 (/ 1 (+ (* im re) im))) (* (exp re) (sin im)) (* (exp re) im) (/ 1 (+ (* im re) im)) (/ im (/ 1 (+ (* 1/6 re) 1/2))) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (/ im (/ 1 (+ (* 1/6 re) 1/2))) re) im) re) im) (+ (* -1/5040 (* im im)) 1/120) (* (* (* re re) 1/6) im) (+ (* 1/6 re) 1/2) (/ 1 (+ (* 1/6 re) 1/2)))
3.0ms	re	@	-inf	((* (exp re) (sin im)) (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* im re) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (/ 1 (/ 1 (+ (* im re) im))) (* (exp re) (sin im)) (* (exp re) im) (/ 1 (+ (* im re) im)) (/ im (/ 1 (+ (* 1/6 re) 1/2))) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (/ im (/ 1 (+ (* 1/6 re) 1/2))) re) im) re) im) (+ (* -1/5040 (* im im)) 1/120) (* (* (* re re) 1/6) im) (+ (* 1/6 re) 1/2) (/ 1 (+ (* 1/6 re) 1/2)))

simplify230.0ms (2%)

Memory

-14.7MiB live, 185.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	299	1308
1	943	1237
2	2796	1149
3	6984	1142
0	8078	1042

Stop Event

1×	iter limit
1×	node limit

Counts

99 → 98

Calls

Call 1

Inputs
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))
(+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(+ 1 (+ (* re (+ 1 (+ (* 1/2 (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(+ 1 (+ (* re (+ 1 (+ (* re (+ (* 1/6 (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))) (* 1/2 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(* im re)
(+ im (* 1/2 (* im re)))
(+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))
(/ 1 im)
(+ (* -1 (/ re im)) (/ 1 im))
(+ (* re (- (/ re im) (/ 1 im))) (/ 1 im))
(+ (* re (- (* re (+ (* -1 (/ re im)) (/ 1 im))) (/ 1 im))) (/ 1 im))
(* 1/2 im)
(+ (* 1/6 (* im re)) (* 1/2 im))
(* 1/6 (* im (pow re 2)))
1/2
(+ 1/2 (* 1/6 re))
2
(+ 2 (* -2/3 re))
(+ 2 (* re (- (* 2/9 re) 2/3)))
(+ 2 (* re (- (* re (+ 2/9 (* -2/27 re))) 2/3)))
(* (exp re) (sin im))
(* (exp re) (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(* im (exp re))
(* re (+ im (/ im re)))
(* 1/6 (* im (pow re 3)))
(* (pow re 3) (+ (* 1/6 im) (* 1/2 (/ im re))))
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (+ (/ im (pow re 2)) (/ im (pow re 3))))))
(* (pow re 2) (+ (* 1/6 im) (* 1/2 (/ im re))))
(* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(/ 1 (* im re))
(/ (- (/ 1 im) (/ 1 (* im re))) re)
(/ (- (+ (/ 1 im) (/ 1 (* im (pow re 2)))) (/ 1 (* im re))) re)
(/ (- (+ (/ 1 im) (/ 1 (* im (pow re 2)))) (+ (/ 1 (* im re)) (/ 1 (* im (pow re 3))))) re)
(* 1/6 (* im re))
(* re (+ (* 1/6 im) (* 1/2 (/ im re))))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(/ 6 re)
(/ (- 6 (* 18 (/ 1 re))) re)
(/ (- (+ 6 (/ 54 (pow re 2))) (* 18 (/ 1 re))) re)
(/ (- (+ 6 (/ 54 (pow re 2))) (+ (* 18 (/ 1 re)) (* 162 (/ 1 (pow re 3))))) re)
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(* -1 (* (pow re 3) (+ (* -1/2 (/ im re)) (* -1/6 im))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 im) (/ im re)) re)) (* -1/6 im))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)) re)) (* -1/6 im))))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re)) (* 1/6 im)))
(* -1 (/ (- (/ 1 (* im re)) (/ 1 im)) re))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* im re)) (/ 1 im)) re)) (/ 1 im)) re))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* im re)) (/ 1 im)) re)) (/ 1 im)) re)) (/ 1 im)) re))
(* -1 (* re (+ (* -1/2 (/ im re)) (* -1/6 im))))
(* -1 (/ (- (* 18 (/ 1 re)) 6) re))
(* -1 (/ (- (* -1 (/ (- (* 54 (/ 1 re)) 18) re)) 6) re))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 162 (/ 1 re)) 54) re)) 18) re)) 6) re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(exp re)
(+ (exp re) (* -1/6 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))
1
(+ 1 (* -1/6 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))
-1/6
(- (* 1/120 (pow im 2)) 1/6)
(- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)
(* im (+ 1 re))
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(/ 1 (* im (+ 1 re)))
(* im (+ 1/2 (* 1/6 re)))
1/120
(+ 1/120 (* -1/5040 (pow im 2)))
(* -1/5040 (* (pow im 6) (exp re)))
(* (pow im 6) (+ (* -1/5040 (exp re)) (* 1/120 (/ (exp re) (pow im 2)))))
(* (pow im 6) (+ (* -1/6 (/ (exp re) (pow im 4))) (+ (* -1/5040 (exp re)) (* 1/120 (/ (exp re) (pow im 2))))))
(* (pow im 6) (+ (* -1/6 (/ (exp re) (pow im 4))) (+ (* -1/5040 (exp re)) (+ (* 1/120 (/ (exp re) (pow im 2))) (/ (exp re) (pow im 6))))))
(* -1/5040 (pow im 6))
(* (pow im 6) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 6) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* (pow im 6) (- (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* -1/5040 (pow im 4))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* -1/5040 (pow im 2))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* -1 (* im (- (* -1 re) 1)))
(* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1)))
(* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)))
(/ -1 (* im (- (* -1 re) 1)))

Outputs
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(fma.f64 (sin.f64 im) re (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (sin.f64 im) re) (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))
(+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(.f64 (-.f64 re #s(literal -1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)))
(+ 1 (+ (* re (+ 1 (+ (* 1/2 (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(+ 1 (+ (* re (+ 1 (+ (* re (+ (* 1/6 (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))) (* 1/2 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(+.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re (.f64 (-.f64 re #s(literal -1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) im))) #s(literal 1 binary64))
im
(+ im (* im re))
(fma.f64 im re im)
(+ im (* re (+ im (* 1/2 (* im re)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im) re im)
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 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)) im)
(* im re)
(*.f64 im re)
(+ im (* 1/2 (* im re)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)
(+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im)
(/ 1 im)
(/.f64 #s(literal 1 binary64) im)
(+ (* -1 (/ re im)) (/ 1 im))
(-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))
(+ (* re (- (/ re im) (/ 1 im))) (/ 1 im))
(fma.f64 (/.f64 re im) (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) im))
(+ (* re (- (* re (+ (* -1 (/ re im)) (/ 1 im))) (/ 1 im))) (/ 1 im))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (/.f64 #s(literal 1 binary64) im))
(* 1/2 im)
(*.f64 #s(literal 1/2 binary64) im)
(+ (* 1/6 (* im re)) (* 1/2 im))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im)
(* 1/6 (* im (pow re 2)))
(.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 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))
2
#s(literal 2 binary64)
(+ 2 (* -2/3 re))
(fma.f64 #s(literal -2/3 binary64) re #s(literal 2 binary64))
(+ 2 (* re (- (* 2/9 re) 2/3)))
(fma.f64 (fma.f64 #s(literal 2/9 binary64) re #s(literal -2/3 binary64)) re #s(literal 2 binary64))
(+ 2 (* re (- (* re (+ 2/9 (* -2/27 re))) 2/3)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2/27 binary64) re #s(literal 2/9 binary64)) re #s(literal -2/3 binary64)) re #s(literal 2 binary64))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* re (+ im (/ im re)))
(fma.f64 im re im)
(* 1/6 (* im (pow re 3)))
(.f64 (.f64 (pow.f64 re #s(literal 3 binary64)) im) #s(literal 1/6 binary64))
(* (pow re 3) (+ (* 1/6 im) (* 1/2 (/ im re))))
(.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) im) re)
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(*.f64 (fma.f64 im (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) (/.f64 (/.f64 im re) re)) (pow.f64 re #s(literal 3 binary64)))
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (+ (/ im (pow re 2)) (/ im (pow re 3))))))
(*.f64 (fma.f64 im (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) (+.f64 (/.f64 im (pow.f64 re #s(literal 3 binary64))) (/.f64 (/.f64 im re) re))) (pow.f64 re #s(literal 3 binary64)))
(* (pow re 2) (+ (* 1/6 im) (* 1/2 (/ im re))))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) im)
(* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(.f64 re (fma.f64 (fma.f64 #s(literal 1/6 binary64) im (/.f64 (/.f64 im re) re)) re (.f64 #s(literal 1/2 binary64) im)))
(/ 1 (* im re))
(/.f64 (/.f64 #s(literal 1 binary64) im) re)
(/ (- (/ 1 im) (/ 1 (* im re))) re)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (/.f64 #s(literal 1 binary64) im) re)) re)
(/ (- (+ (/ 1 im) (/ 1 (* im (pow re 2)))) (/ 1 (* im re))) re)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) im) re) (/.f64 #s(literal 1 binary64) im)) re) (/.f64 #s(literal -1 binary64) im)) re)
(/ (- (+ (/ 1 im) (/ 1 (* im (pow re 2)))) (+ (/ 1 (* im re)) (/ 1 (* im (pow re 3))))) re)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) im) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) im) re) (/.f64 #s(literal 1 binary64) im)) re)) re) (/.f64 #s(literal -1 binary64) im)) re)
(* 1/6 (* im re))
(.f64 (.f64 #s(literal 1/6 binary64) re) im)
(* re (+ (* 1/6 im) (* 1/2 (/ im re))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im)
(* 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))
(/ 6 re)
(/.f64 #s(literal 6 binary64) re)
(/ (- 6 (* 18 (/ 1 re))) re)
(/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re)
(/ (- (+ 6 (/ 54 (pow re 2))) (* 18 (/ 1 re))) re)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 54 binary64) re) #s(literal 18 binary64)) re) #s(literal -6 binary64)) re)
(/ (- (+ 6 (/ 54 (pow re 2))) (+ (* 18 (/ 1 re)) (* 162 (/ 1 (pow re 3))))) re)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 54 binary64) re) #s(literal 18 binary64)) re) (-.f64 (/.f64 #s(literal 162 binary64) (pow.f64 re #s(literal 3 binary64))) #s(literal 6 binary64))) re)
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(fma.f64 im re im)
(* -1 (* (pow re 3) (+ (* -1/2 (/ im re)) (* -1/6 im))))
(.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) im) re)
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 im) (/ im re)) re)) (* -1/6 im))))
(.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re) (.f64 #s(literal -1/6 binary64) im)) (pow.f64 re #s(literal 3 binary64)))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)) re)) (* -1/6 im))))
(*.f64 (neg.f64 (pow.f64 re #s(literal 3 binary64))) (fma.f64 #s(literal -1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 (+.f64 (/.f64 im re) im) re)) (neg.f64 re))))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re)) (* 1/6 im)))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)) re) re)
(* -1 (/ (- (/ 1 (* im re)) (/ 1 im)) re))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (/.f64 #s(literal 1 binary64) im) re)) re)
(* -1 (/ (- (* -1 (/ (- (/ 1 (* im re)) (/ 1 im)) re)) (/ 1 im)) re))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) im) re) (/.f64 #s(literal 1 binary64) im)) re) (/.f64 #s(literal -1 binary64) im)) re)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* im re)) (/ 1 im)) re)) (/ 1 im)) re)) (/ 1 im)) re))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) im) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) im) re) (/.f64 #s(literal 1 binary64) im)) re)) re) (/.f64 #s(literal -1 binary64) im)) re)
(* -1 (* re (+ (* -1/2 (/ im re)) (* -1/6 im))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im)
(* -1 (/ (- (* 18 (/ 1 re)) 6) re))
(/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re)
(* -1 (/ (- (* -1 (/ (- (* 54 (/ 1 re)) 18) re)) 6) re))
(/.f64 (-.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -54 binary64) re) #s(literal 18 binary64)) re)) re)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 162 (/ 1 re)) 54) re)) 18) re)) 6) re))
(/.f64 (-.f64 #s(literal 6 binary64) (/.f64 (-.f64 #s(literal 18 binary64) (/.f64 (+.f64 (/.f64 #s(literal -162 binary64) re) #s(literal 54 binary64)) re)) re)) re)
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) (*.f64 im (exp.f64 re)))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (exp.f64 re) (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64))) (*.f64 im (exp.f64 re)))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im)
(exp re)
(exp.f64 re)
(+ (exp re) (* -1/6 (* (pow im 2) (exp re))))
(.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) (exp.f64 re))
(+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))
(fma.f64 (.f64 (exp.f64 re) (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64))) (*.f64 im im) (exp.f64 re))
(+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) (exp.f64 re))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow im 2)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow im 2)) 1/6)
(fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))
(- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64))
(* im (+ 1 re))
(fma.f64 im re im)
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(*.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)) im)
(* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im)
(/ 1 (* im (+ 1 re)))
(/.f64 #s(literal 1 binary64) (fma.f64 im re im))
(* im (+ 1/2 (* 1/6 re)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im)
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow im 2)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))
(* -1/5040 (* (pow im 6) (exp re)))
(.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/5040 binary64)) (exp.f64 re))
(* (pow im 6) (+ (* -1/5040 (exp re)) (* 1/120 (/ (exp re) (pow im 2)))))
(.f64 (.f64 (exp.f64 re) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) #s(literal 1/5040 binary64))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (+ (* -1/6 (/ (exp re) (pow im 4))) (+ (* -1/5040 (exp re)) (* 1/120 (/ (exp re) (pow im 2))))))
(.f64 (fma.f64 (exp.f64 re) (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 (exp.f64 re) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) #s(literal 1/5040 binary64)))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (+ (* -1/6 (/ (exp re) (pow im 4))) (+ (* -1/5040 (exp re)) (+ (* 1/120 (/ (exp re) (pow im 2))) (/ (exp re) (pow im 6))))))
(.f64 (fma.f64 (exp.f64 re) (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (exp.f64 re) (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 im im)) #s(literal 1/5040 binary64)) (/.f64 (exp.f64 re) (pow.f64 im #s(literal 6 binary64))))) (pow.f64 im #s(literal 6 binary64)))
(* -1/5040 (pow im 6))
(*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/5040 binary64))
(* (pow im 6) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 im im)) #s(literal 1/5040 binary64)) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 im im)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (- (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 1/120 binary64) (.f64 im im))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64))))) (pow.f64 im #s(literal 6 binary64)))
(* -1/5040 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/5040 binary64))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 im im)) #s(literal 1/5040 binary64)) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 im im)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 im #s(literal 4 binary64)))
(* -1/5040 (pow im 2))
(.f64 #s(literal -1/5040 binary64) (.f64 im im))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) #s(literal 1/5040 binary64)) im) im)
(* -1 (* im (- (* -1 re) 1)))
(fma.f64 im re im)
(* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1)))
(fma.f64 (*.f64 (fma.f64 (neg.f64 re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal -1 binary64)) re) (neg.f64 im) im)
(* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #s(literal 1 binary64)) im)
(/ -1 (* im (- (* -1 re) 1)))
(/.f64 #s(literal 1 binary64) (fma.f64 im re im))

rewrite203.0ms (1.8%)

Memory

15.9MiB live, 253.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	348
0	77	336
1	265	324
2	1722	324
0	8346	324

Stop Event

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

Counts

24 → 525

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) (exp.f64 re))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re)))
#s(approx (+ (* im re) im) (*.f64 im re))
(*.f64 im re)
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im)))
#s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im))
(fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im)
#s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
#s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im))))
(/.f64 #s(literal 1 binary64) (fma.f64 im re im))
(/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) re im) re im)))
#s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) re im) re im))
(fma.f64 (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) re im) re im)
(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))
(.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))

Outputs
#s(approx (* (exp re) (sin im)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im) (exp.f64 re)))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) (exp.f64 re)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64)) (exp.f64 re)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im)) #s(literal -1 binary64)))
(.f64 (.f64 (exp.f64 re) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (exp.f64 re) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im)) #s(literal -1 binary64)))
(.f64 (exp.f64 re) (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) (exp.f64 re))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im) (exp.f64 re)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im) (exp.f64 re))) (.f64 (exp.f64 re) (exp.f64 re))) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) im) (exp.f64 re)) (exp.f64 re)))
(/.f64 (-.f64 (.f64 (exp.f64 re) (exp.f64 re)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im) (exp.f64 re)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im) (exp.f64 re)))) (-.f64 (exp.f64 re) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) im) (exp.f64 re))))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 re) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im)) (.f64 (exp.f64 re) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im))) (.f64 (exp.f64 re) (exp.f64 re))) (-.f64 (.f64 (exp.f64 re) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) im)) (exp.f64 re)))
(/.f64 (-.f64 (.f64 (exp.f64 re) (exp.f64 re)) (.f64 (.f64 (exp.f64 re) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im)) (.f64 (exp.f64 re) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im)))) (-.f64 (exp.f64 re) (.f64 (exp.f64 re) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) im))))
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(*.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64)))) (pow.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) (-.f64 #s(literal 1/4 binary64) (.f64 re #s(literal 1/12 binary64))))) (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) (-.f64 #s(literal 1/4 binary64) (.f64 re #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))
(/.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))))
(-.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 (.f64 re #s(literal 1/12 binary64)) (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 1/6 binary64) re) (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) #s(literal -1 binary64)))

eval124.0ms (1.1%)

Memory: -22.5MiB live, 174.6MiB allocated
Compiler: Compiled 24 749 to 3 369 computations (86.4% saved)

prune40.0ms (0.4%)

Memory

9.5MiB live, 97.4MiB allocated

Pruning

33 alts after pruning (25 fresh and 8 done)

	Pruned	Kept	Total
New	588	19	607
Fresh	4	6	10
Picked	4	1	5
Done	1	7	8
Total	597	33	630

Accuracy

100.0%

Counts

630 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
✓	65.9%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
✓	62.7%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
	35.8%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
✓	52.2%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
	62.0%	#s(approx (* (exp re) (sin im)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) (*.f64 im (exp.f64 re))))
✓	65.7%	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
	35.6%	#s(approx (* (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))) im))
	38.0%	#s(approx (* (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (+.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re (.f64 (-.f64 re #s(literal -1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) im))) #s(literal 1 binary64))) im))
✓	51.5%	#s(approx (* (exp re) (sin im)) (sin.f64 im))
	32.6%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (.f64 im #s(literal 1/6 binary64)) re (.f64 im #s(literal 1/2 binary64))) re im) re im)))
	32.6%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 im re) im) re im)))
	27.0%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* 1/6 re) 1/2)) (fma.f64 #s(literal -2/3 binary64) re #s(literal 2 binary64)))) re im) re im)))
	32.6%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* 1/6 re) 1/2)) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re))) re im) re im)))
	32.6%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* 1/6 re) 1/2)) (/.f64 #s(literal 6 binary64) re))) re im) re im)))
	29.0%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im #s(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64))) re im) re im)))
	33.0%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im))) re im)))
	32.3%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 im re) (*.f64 #s(literal 1/6 binary64) re))) re im)))
✓	25.9%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
	32.9%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im)))))
	41.4%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (/.f64 #s(literal 1 binary64) im))))))
	39.2%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (/.f64 re im) (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) im))))))
	5.1%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (/.f64 #s(literal 1 binary64) im) re)))))
	5.1%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) im) re) (/.f64 #s(literal 1 binary64) im)) re) (/.f64 #s(literal -1 binary64) im)) re)))))
	5.1%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (/.f64 #s(literal 1 binary64) im) re)) re)))))
	24.3%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 #s(literal 1 binary64) im)))))
	33.5%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
	35.2%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) 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)) im)))
	12.5%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
	12.5%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) (*.f64 re re)))))
	12.5%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) im) re))))
	5.1%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im re))))))
✓	5.1%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))

Compiler

Compiled 2 265 to 887 computations (60.8% saved)

regimes137.0ms (1.2%)

Memory

12.4MiB live, 89.2MiB allocated

Counts

49 → 1

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im #s(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) (*.f64 re re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 im re) (*.f64 #s(literal 1/6 binary64) re))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) 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)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 im re) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (.f64 im #s(literal 1/6 binary64)) re (.f64 im #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* 1/6 re) 1/2)) (fma.f64 #s(literal -2/3 binary64) re #s(literal 2 binary64)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (/.f64 #s(literal 1 binary64) im) re)))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* 1/6 re) 1/2)) (/.f64 #s(literal 6 binary64) re))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (/.f64 re im) (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* 1/6 re) 1/2)) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (/.f64 #s(literal 1 binary64) im) re)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) im) re) (/.f64 #s(literal 1 binary64) im)) re) (/.f64 #s(literal -1 binary64) im)) re)))))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (+.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re (.f64 (-.f64 re #s(literal -1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) im))) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) (*.f64 im (exp.f64 re))))
(.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))) (sin.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))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) 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))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
#s(approx (* (exp re) (sin im)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
(*.f64 (exp.f64 re) (sin.f64 im))

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

Calls

5 calls:

81.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
18.0ms	(sin.f64 im)
13.0ms	im
13.0ms	re
10.0ms	(exp.f64 re)

Results

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

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes95.0ms (0.8%)

Memory

-26.9MiB live, 54.3MiB allocated

Counts

48 → 5

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im #s(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) (*.f64 re re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 im re) (*.f64 #s(literal 1/6 binary64) re))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) 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)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 im re) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (.f64 im #s(literal 1/6 binary64)) re (.f64 im #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* 1/6 re) 1/2)) (fma.f64 #s(literal -2/3 binary64) re #s(literal 2 binary64)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (/.f64 #s(literal 1 binary64) im) re)))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* 1/6 re) 1/2)) (/.f64 #s(literal 6 binary64) re))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (/.f64 re im) (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* 1/6 re) 1/2)) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (/.f64 #s(literal 1 binary64) im) re)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) im) re) (/.f64 #s(literal 1 binary64) im)) re) (/.f64 #s(literal -1 binary64) im)) re)))))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (+.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re (.f64 (-.f64 re #s(literal -1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) im))) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) (*.f64 im (exp.f64 re))))
(.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))) (sin.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))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) 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))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
#s(approx (* (exp re) (sin im)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))

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

Calls

5 calls:

32.0ms	(sin.f64 im)
26.0ms	re
13.0ms	im
11.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
10.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
97.1%	4	`re`
84.2%	2	`im`
99.8%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`
95.5%	3	`(exp.f64 re)`
85.0%	3	`(sin.f64 im)`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes13.0ms (0.1%)

Memory

28.8MiB live, 28.8MiB allocated

Counts

43 → 5

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im #s(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) (*.f64 re re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 im re) (*.f64 #s(literal 1/6 binary64) re))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) 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)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 im re) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (.f64 im #s(literal 1/6 binary64)) re (.f64 im #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* 1/6 re) 1/2)) (fma.f64 #s(literal -2/3 binary64) re #s(literal 2 binary64)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (/.f64 #s(literal 1 binary64) im) re)))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* 1/6 re) 1/2)) (/.f64 #s(literal 6 binary64) re))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (/.f64 re im) (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* 1/6 re) 1/2)) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (/.f64 #s(literal 1 binary64) im) re)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) im) re) (/.f64 #s(literal 1 binary64) im)) re) (/.f64 #s(literal -1 binary64) im)) re)))))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (+.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re (.f64 (-.f64 re #s(literal -1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) im))) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) (*.f64 im (exp.f64 re))))
(.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))) (sin.f64 im))

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

Calls

1 calls:

10.0ms

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

Results

Accuracy	Segments	Branch
99.6%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes15.0ms (0.1%)

Memory

-9.3MiB live, 26.5MiB allocated

Counts

41 → 5

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im #s(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) (*.f64 re re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 im re) (*.f64 #s(literal 1/6 binary64) re))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) 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)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 im re) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (.f64 im #s(literal 1/6 binary64)) re (.f64 im #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* 1/6 re) 1/2)) (fma.f64 #s(literal -2/3 binary64) re #s(literal 2 binary64)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (/.f64 #s(literal 1 binary64) im) re)))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* 1/6 re) 1/2)) (/.f64 #s(literal 6 binary64) re))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (/.f64 re im) (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* 1/6 re) 1/2)) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (/.f64 #s(literal 1 binary64) im) re)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) im) re) (/.f64 #s(literal 1 binary64) im)) re) (/.f64 #s(literal -1 binary64) im)) re)))))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (+.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re (.f64 (-.f64 re #s(literal -1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) im))) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))

Outputs
#s(approx (* (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (+.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re (.f64 (-.f64 re #s(literal -1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) im))) #s(literal 1 binary64))) im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) 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))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))

Calls

1 calls:

13.0ms

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

Results

Accuracy	Segments	Branch
98.9%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes55.0ms (0.5%)

Memory

-24.9MiB live, 65.7MiB allocated

Counts

40 → 5

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im #s(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) (*.f64 re re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 im re) (*.f64 #s(literal 1/6 binary64) re))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) 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)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 im re) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (.f64 im #s(literal 1/6 binary64)) re (.f64 im #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* 1/6 re) 1/2)) (fma.f64 #s(literal -2/3 binary64) re #s(literal 2 binary64)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (/.f64 #s(literal 1 binary64) im) re)))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* 1/6 re) 1/2)) (/.f64 #s(literal 6 binary64) re))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (/.f64 re im) (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* 1/6 re) 1/2)) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (/.f64 #s(literal 1 binary64) im) re)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) im) re) (/.f64 #s(literal 1 binary64) im)) re) (/.f64 #s(literal -1 binary64) im)) re)))))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (+.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re (.f64 (-.f64 re #s(literal -1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) im))) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))

Outputs
#s(approx (* (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (+.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re (.f64 (-.f64 re #s(literal -1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) im))) #s(literal 1 binary64))) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))

Calls

3 calls:

29.0ms	(exp.f64 re)
13.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
11.0ms	re

Results

Accuracy	Segments	Branch
93.1%	3	`(exp.f64 re)`
96.6%	4	`re`
98.6%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes11.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

37 → 5

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im #s(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) (*.f64 re re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 im re) (*.f64 #s(literal 1/6 binary64) re))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) 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)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 im re) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (.f64 im #s(literal 1/6 binary64)) re (.f64 im #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* 1/6 re) 1/2)) (fma.f64 #s(literal -2/3 binary64) re #s(literal 2 binary64)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (/.f64 #s(literal 1 binary64) im) re)))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* 1/6 re) 1/2)) (/.f64 #s(literal 6 binary64) re))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (/.f64 re im) (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* 1/6 re) 1/2)) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (/.f64 #s(literal 1 binary64) im) re)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) im) re) (/.f64 #s(literal 1 binary64) im)) re) (/.f64 #s(literal -1 binary64) im)) re)))))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (+.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re (.f64 (-.f64 re #s(literal -1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) im))) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))

Outputs
#s(approx (* (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (+.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re (.f64 (-.f64 re #s(literal -1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) im))) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
98.2%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes67.0ms (0.6%)

Memory

20.5MiB live, 57.1MiB allocated

Counts

35 → 3

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im #s(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) (*.f64 re re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 im re) (*.f64 #s(literal 1/6 binary64) re))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) 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)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 im re) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (.f64 im #s(literal 1/6 binary64)) re (.f64 im #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* 1/6 re) 1/2)) (fma.f64 #s(literal -2/3 binary64) re #s(literal 2 binary64)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (/.f64 #s(literal 1 binary64) im) re)))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* 1/6 re) 1/2)) (/.f64 #s(literal 6 binary64) re))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (/.f64 re im) (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* 1/6 re) 1/2)) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (/.f64 #s(literal 1 binary64) im) re)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) im) re) (/.f64 #s(literal 1 binary64) im)) re) (/.f64 #s(literal -1 binary64) im)) re)))))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (+.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re (.f64 (-.f64 re #s(literal -1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) im))) #s(literal 1 binary64))) im))

Outputs

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

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

#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (+.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re (*.f64 (-.f64 re #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) im))) #s(literal 1 binary64))) im))

Calls

5 calls:

27.0ms	(exp.f64 re)
10.0ms	im
10.0ms	(sin.f64 im)
9.0ms	re
8.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

Results

Accuracy	Segments	Branch
63.2%	3	`(sin.f64 im)`
62.8%	2	`im`
82.5%	3	`(exp.f64 re)`
82.5%	3	`re`
85.1%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes41.0ms (0.4%)

Memory

1.5MiB live, 40.2MiB allocated

Counts

34 → 5

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im #s(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) (*.f64 re re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 im re) (*.f64 #s(literal 1/6 binary64) re))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) 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)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 im re) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (.f64 im #s(literal 1/6 binary64)) re (.f64 im #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* 1/6 re) 1/2)) (fma.f64 #s(literal -2/3 binary64) re #s(literal 2 binary64)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (/.f64 #s(literal 1 binary64) im) re)))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* 1/6 re) 1/2)) (/.f64 #s(literal 6 binary64) re))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (/.f64 re im) (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* 1/6 re) 1/2)) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (/.f64 #s(literal 1 binary64) im) re)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) im) re) (/.f64 #s(literal 1 binary64) im)) re) (/.f64 #s(literal -1 binary64) im)) re)))))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))

Outputs
#s(approx (* (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) 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)) im)))

Calls

3 calls:

24.0ms	re
8.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
7.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
85.1%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`
80.2%	3	`(exp.f64 re)`
82.2%	4	`re`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes59.0ms (0.5%)

Memory

-14.5MiB live, 66.9MiB allocated

Counts

33 → 3

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im #s(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) (*.f64 re re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 im re) (*.f64 #s(literal 1/6 binary64) re))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) 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)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 im re) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (.f64 im #s(literal 1/6 binary64)) re (.f64 im #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* 1/6 re) 1/2)) (fma.f64 #s(literal -2/3 binary64) re #s(literal 2 binary64)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (/.f64 #s(literal 1 binary64) im) re)))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* 1/6 re) 1/2)) (/.f64 #s(literal 6 binary64) re))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (/.f64 re im) (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* 1/6 re) 1/2)) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (/.f64 #s(literal 1 binary64) im) re)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) im) re) (/.f64 #s(literal 1 binary64) im)) re) (/.f64 #s(literal -1 binary64) im)) re)))))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))) im))

Outputs

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

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

#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) 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)) im)))

Calls

5 calls:

17.0ms	im
14.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
9.0ms	(sin.f64 im)
9.0ms	re
7.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
44.4%	2	`(sin.f64 im)`
41.4%	1	`im`
53.4%	2	`(exp.f64 re)`
55.4%	3	`re`
58.6%	3	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes9.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

29 → 3

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im #s(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) (*.f64 re re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 im re) (*.f64 #s(literal 1/6 binary64) re))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) 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)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 im re) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (.f64 im #s(literal 1/6 binary64)) re (.f64 im #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* 1/6 re) 1/2)) (fma.f64 #s(literal -2/3 binary64) re #s(literal 2 binary64)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (/.f64 #s(literal 1 binary64) im) re)))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* 1/6 re) 1/2)) (/.f64 #s(literal 6 binary64) re))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (/.f64 re im) (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* 1/6 re) 1/2)) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (/.f64 #s(literal 1 binary64) im) re)) re)))))

Outputs

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

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

#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) 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)) im)))

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
56.3%	3	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes37.0ms (0.3%)

Memory

-7.4MiB live, 31.2MiB allocated

Counts

23 → 3

Calls

Call 1

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

Outputs

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

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

#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) 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)) im)))

Calls

3 calls:

23.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
7.0ms	re
5.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
45.4%	2	`(exp.f64 re)`
47.5%	3	`re`
50.6%	3	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes87.0ms (0.8%)

Memory

-10.0MiB live, 29.3MiB allocated

Counts

21 → 2

Calls

Call 1

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

Outputs

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

#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) 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)) im)))

Calls

5 calls:

63.0ms	(sin.f64 im)
6.0ms	im
6.0ms	re
5.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
5.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
38.1%	2	`im`
41.1%	2	`(sin.f64 im)`
35.8%	1	`(exp.f64 re)`
37.9%	2	`re`
41.1%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes12.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

19 → 2

Calls

Call 1

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

Outputs

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

#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) 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)) im)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
38.2%	2	`(sin.f64 im)`
38.3%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes25.0ms (0.2%)

Memory

17.1MiB live, 17.1MiB allocated

Counts

17 → 1

Calls

Call 1

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

Outputs

#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) 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)) im)))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
35.2%	1	`(exp.f64 re)`
35.2%	1	`re`
35.2%	1	`im`
35.2%	1	`(sin.f64 im)`
35.2%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes58.0ms (0.5%)

Memory

-5.1MiB live, 33.4MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

5 calls:

43.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
4.0ms	(sin.f64 im)
4.0ms	im
4.0ms	re
3.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
33.0%	1	`re`
33.0%	1	`(exp.f64 re)`
33.0%	1	`im`
33.0%	1	`(sin.f64 im)`
33.0%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes96.0ms (0.9%)

Memory

-15.3MiB live, 23.5MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

85.0ms	(sin.f64 im)
3.0ms	re
3.0ms	im
2.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
2.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
32.3%	1	`(exp.f64 re)`
32.3%	1	`re`
32.3%	1	`(sin.f64 im)`
32.3%	1	`im`
32.3%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes12.0ms (0.1%)

Memory

20.0MiB live, 20.0MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
33.5%	2	`re`
33.5%	2	`(exp.f64 re)`
29.0%	1	`(sin.f64 im)`
29.0%	1	`im`
33.5%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes64.0ms (0.6%)

Memory

-25.1MiB live, 11.8MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

60.0ms	re
2.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
29.0%	1	`re`
29.0%	1	`(exp.f64 re)`
29.0%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes7.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))

Outputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
25.9%	1	`re`
25.9%	1	`(exp.f64 re)`
25.9%	1	`(sin.f64 im)`
25.9%	1	`im`
25.9%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes6.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
5.1%	1	`im`
5.1%	1	`(exp.f64 re)`
5.1%	1	`re`
5.1%	1	`(sin.f64 im)`
5.1%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9960350627565929	+inf
0.0ms	0.0	3.659539576657661e-298
0.0ms	-0.019710242404176105	0.0
0.0ms	-inf	-0.9989708819565578

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9960350627565929	+inf
0.0ms	0.0	3.659539576657661e-298
0.0ms	-0.019710242404176105	0.0
0.0ms	-inf	-0.9989708819565578

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9960350627565929	+inf
0.0ms	0.0	3.659539576657661e-298
0.0ms	-0.019710242404176105	0.0
0.0ms	-inf	-0.9989708819565578

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch66.0ms (0.6%)

Memory

-38.7MiB live, 1.0MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9960350627565929	+inf
0.0ms	1.4250347188390277e-142	2.489320452592041e-141
0.0ms	-0.019710242404176105	0.0
0.0ms	-inf	-0.9989708819565578

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9960350627565929	+inf
0.0ms	4.26010906562087e-98	2.1626872135454635e-94
0.0ms	-0.019710242404176105	0.0
0.0ms	-inf	-0.9989708819565578

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch27.0ms (0.2%)

Memory

10.9MiB live, 10.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3082722.7352930894	269053186.6810579
13.0ms	-5.33070443888636e-16	-4.915159393326107e-19

Samples

15.0ms

240×

valid

Compiler

Compiled 970 to 601 computations (38% saved)

Precisions

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

ival-sin: 5.0ms (52.6% of total)

ival-exp: 3.0ms (31.6% of total)

ival-mult: 1.0ms (10.5% of total)

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

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

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9960350627565929	+inf
0.0ms	4.26010906562087e-98	2.1626872135454635e-94
0.0ms	-0.019710242404176105	0.0
0.0ms	-inf	-0.9989708819565578

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.659539576657661e-298
0.0ms	-0.019710242404176105	0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.659539576657661e-298
0.0ms	-0.019710242404176105	0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.659539576657661e-298
0.0ms	-0.019710242404176105	0.0

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	4.1475099038541145e-8	0.030811116130480286

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	0.7059404950104277	0.767993682290945

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	0.9469390047281661	0.9513662272686015

Compiler

Compiled 8 to 10 computations (-25% saved)

simplify98.0ms (0.9%)

Memory

3.0MiB live, 40.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	193	1510
1	241	1471
2	328	1471
3	572	1471
4	1277	1471
5	2762	1471
6	3585	1471
7	4227	1471
8	5159	1471
9	5841	1471
10	6650	1471
11	7414	1471

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) (.f64 im (exp.f64 re)))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 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))) (sin.f64 im)) #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) (.f64 im (exp.f64 re)))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 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))) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 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))) (sin.f64 im)) #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (+.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re (.f64 (-.f64 re #s(literal -1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im))) #s(literal 1 binary64))) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 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))) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 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))) (sin.f64 im)) #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (+.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re (.f64 (-.f64 re #s(literal -1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im))) #s(literal 1 binary64))) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 686479766013061/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (+.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re (.f64 (-.f64 re #s(literal -1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im))) #s(literal 1 binary64))) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7695704335233297/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 re #s(literal -2636713248474717/5070602400912917605986812821504 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (/.f64 #s(literal 1 binary64) im)))))) (if (<=.f64 re #s(literal 3100000 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (+.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re (.f64 (-.f64 re #s(literal -1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) im))) #s(literal 1 binary64))) im))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)))) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7695704335233297/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (/.f64 #s(literal 1 binary64) im)))))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx ( (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) 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)) im)))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 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 (sin im) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/6 binary64)) im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (/.f64 #s(literal 1 binary64) im)))))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) 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)) im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 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 (sin im) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/6 binary64)) im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (/.f64 re im) (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) im)))))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) 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)) im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 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 (sin im) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/6 binary64)) im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im)))))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) 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)) im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 944473296573929/18889465931478580854784 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 (sin im) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/6 binary64)) im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) 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)) im))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3/4 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* 1/6 re) 1/2)) (fma.f64 #s(literal -2/3 binary64) re #s(literal 2 binary64)))) re im) re im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) 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)) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) 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)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 im re) (*.f64 #s(literal 1/6 binary64) re))) re im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4278419646001971/4503599627370496 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) im) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))

Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) (.f64 im (exp.f64 re)))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 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))) (sin.f64 im)) #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) (.f64 im (exp.f64 re)))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (if (or (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (not (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)))) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) 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))) (sin.f64 im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) (.f64 im (exp.f64 re)))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 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))) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 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))) (sin.f64 im)) #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) (.f64 im (exp.f64 re)))) (if (or (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (not (or (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (not (<=.f64 (.f64 (exp.f64 re) (sin.f64 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))) (sin.f64 im)) #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (+.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re (.f64 (-.f64 re #s(literal -1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im))) #s(literal 1 binary64))) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 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))) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 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))) (sin.f64 im)) #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (+.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re (.f64 (-.f64 re #s(literal -1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im))) #s(literal 1 binary64))) im)) (if (or (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (not (or (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (not (<=.f64 (.f64 (exp.f64 re) (sin.f64 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))) (sin.f64 im)) #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (+.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re (.f64 (-.f64 re #s(literal -1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im))) #s(literal 1 binary64))) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 686479766013061/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (+.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re (.f64 (-.f64 re #s(literal -1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im))) #s(literal 1 binary64))) im)) (if (or (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (not (or (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 686479766013061/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576 binary64)) (not (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)))))) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im))))
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(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (+.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re (.f64 (-.f64 re #s(literal -1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im))) #s(literal 1 binary64))) im)) (if (or (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (not (or (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7695704335233297/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136 binary64)) (not (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)))))) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))
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(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)))) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7695704335233297/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (pow.f64 #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (pow.f64 im #s(literal -1 binary64)))) #s(literal -1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx ( (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) 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)) im)))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 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 (sin im) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/6 binary64)) im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (/.f64 #s(literal 1 binary64) im)))))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) 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)) im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 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 (sin im) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/6 binary64)) im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (pow.f64 #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (pow.f64 im #s(literal -1 binary64)))) #s(literal -1 binary64)))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) 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)) im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 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 (sin im) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/6 binary64)) im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (/.f64 re im) (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) im)))))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) 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)) im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 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 (sin im) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/6 binary64)) im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (pow.f64 #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (/.f64 re im) (+.f64 re #s(literal -1 binary64)) (pow.f64 im #s(literal -1 binary64)))) #s(literal -1 binary64)))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) 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)) im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 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 (sin im) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/6 binary64)) im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im)))))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) 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)) im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 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 (sin im) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/6 binary64)) im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (pow.f64 #s(approx (/ 1 (+ (* im re) im)) (-.f64 (pow.f64 im #s(literal -1 binary64)) (/.f64 re im))) #s(literal -1 binary64)))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) 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)) im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 944473296573929/18889465931478580854784 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 (sin im) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/6 binary64)) im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) 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)) im))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3/4 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* 1/6 re) 1/2)) (fma.f64 #s(literal -2/3 binary64) re #s(literal 2 binary64)))) re im) re im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) 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)) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) 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)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 im re) (*.f64 #s(literal 1/6 binary64) re))) re im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4278419646001971/4503599627370496 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) im) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))

soundness2.5s (22.1%)

Memory

29.6MiB live, 1 301.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	348
0	77	336
1	265	324
2	1722	324
0	8346	324
0	125	381
1	406	366
2	1119	344
3	3959	338
4	7383	338
0	8095	287
0	46	289
0	70	289
1	217	289
2	1351	289
0	8328	285
0	203	715
1	678	661
2	2144	629
3	6135	626
0	8457	541
0	71	192
1	221	181
2	584	169
3	1576	163
4	2434	163
5	3117	163
6	3586	163
7	3734	163
8	4023	163
9	5924	163
0	8211	141
0	299	1308
1	943	1237
2	2796	1149
3	6984	1142
0	8078	1042

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×	node limit
1×	iter limit

Compiler

Compiled 1 978 to 694 computations (64.9% saved)

preprocess243.0ms (2.2%)

Memory: -33.5MiB live, 257.1MiB allocated
Remove: (negabs im)
Compiler: Compiled 2 972 to 438 computations (85.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	31
1	38	29
2	77	27
3	148	27
4	295	27
5	440	27
6	461	27
7	475	27
8	482	27
9	482	27
0	5	5
0	8	5
1	9	5
0	9	5

Iter	Nodes	Cost
0	46	319
0	70	319
1	112	319
2	169	319
3	271	319
4	490	319
5	690	319
6	835	319
7	847	319
8	853	319
9	853	319
10	865	319
11	865	319
0	865	315

Iter	Nodes	Cost
0	15	31
1	38	29
2	77	27
3	148	27
4	295	27
5	440	27
6	461	27
7	475	27
8	482	27
9	482	27
0	5	5
0	8	5
1	9	5
0	9	5

Iter	Nodes	Cost
0	46	319
0	70	319
1	112	319
2	169	319
3	271	319
4	490	319
5	690	319
6	835	319
7	847	319
8	853	319
9	853	319
10	865	319
11	865	319
0	865	315

start0.0ms (0%)

analyze0.0ms (0%)

sample976.0ms (8.7%)

explain77.0ms (0.7%)

preprocess22.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize24.0ms (0.2%)

series3.0ms (0%)

simplify174.0ms (1.5%)

rewrite12.0ms (0.1%)

eval2.0ms (0%)

prune4.0ms (0%)

simplify15.0ms (0.1%)

localize73.0ms (0.6%)

series8.0ms (0.1%)

simplify188.0ms (1.7%)

rewrite4.1s (36.5%)

eval71.0ms (0.6%)

prune17.0ms (0.1%)

simplify40.0ms (0.4%)

localize104.0ms (0.9%)

series21.0ms (0.2%)

simplify172.0ms (1.5%)

rewrite164.0ms (1.5%)

eval65.0ms (0.6%)

prune27.0ms (0.2%)

simplify205.0ms (1.8%)

localize227.0ms (2%)

series23.0ms (0.2%)

simplify230.0ms (2%)

rewrite203.0ms (1.8%)

eval124.0ms (1.1%)

prune40.0ms (0.4%)

regimes137.0ms (1.2%)

regimes95.0ms (0.8%)

regimes13.0ms (0.1%)

regimes15.0ms (0.1%)

regimes55.0ms (0.5%)

regimes11.0ms (0.1%)

regimes67.0ms (0.6%)

regimes41.0ms (0.4%)

regimes59.0ms (0.5%)

regimes9.0ms (0.1%)

regimes37.0ms (0.3%)

regimes87.0ms (0.8%)

regimes12.0ms (0.1%)

regimes25.0ms (0.2%)

regimes58.0ms (0.5%)

regimes96.0ms (0.9%)

regimes12.0ms (0.1%)

regimes64.0ms (0.6%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch66.0ms (0.6%)

bsearch1.0ms (0%)

bsearch27.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify98.0ms (0.9%)

soundness2.5s (22.1%)

preprocess243.0ms (2.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	31
1	38	29
2	77	27
3	148	27
4	295	27
5	440	27
6	461	27
7	475	27
8	482	27
9	482	27
0	5	5
0	8	5
1	9	5
0	9	5

Iter	Nodes	Cost
0	46	319
0	70	319
1	112	319
2	169	319
3	271	319
4	490	319
5	690	319
6	835	319
7	847	319
8	853	319
9	853	319
10	865	319
11	865	319
0	865	315