Metrics for math.exp on complex, imaginary part

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample1.1s (6.4%)

Memory

23.8MiB live, 1 663.9MiB allocated

Samples

648.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 412.0ms

ival-sin: 242.0ms (58.7% of total)

ival-exp: 107.0ms (25.9% of total)

ival-mult: 54.0ms (13.1% of total)

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

ival-assert: 3.0ms (0.7% of total)

Bogosity

preprocess24.0ms (0.1%)

Memory

4.5MiB live, 43.6MiB allocated

Algorithm

1×	egg-herbie

Rules

60×	`associate-r`
52×	`unsub-neg`
48×	`associate-l`
42×	`distribute-lft-neg-in`
38×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	31
1	38	29
2	77	27
3	148	27
4	281	27
5	428	27
6	451	27
7	465	27
8	472	27
9	472	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))

Symmetry

(negabs im)

explain84.0ms (0.5%)

Memory

5.6MiB live, 126.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(*.f64 (exp.f64 re) (sin.f64 im))`
0	-	-	`(sin.f64 im)`
0	-	-	`re`
0	-	-	`(exp.f64 re)`
0	-	-	`im`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(*.f64 (exp.f64 re) (sin.f64 im))`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

54.0ms

512×

valid

Compiler

Compiled 40 to 24 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-sin: 32.0ms (76.2% of total)

ival-exp: 6.0ms (14.3% of total)

ival-mult: 3.0ms (7.1% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(*.f64 (exp.f64 re) (sin.f64 im))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify5.0ms (0%)

Memory

-30.2MiB live, 8.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

4×	`lower-*.f32`
2×	`lift-sin.f64`
2×	`*-commutative`
2×	`lift-exp.f64`
2×	`lower-*.f64`

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

localize23.0ms (0.1%)

Memory

16.3MiB live, 54.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 im)
✓	accuracy	100.0%	(exp.f64 re)
✓	accuracy	99.6%	(*.f64 (exp.f64 re) (sin.f64 im))

Samples

17.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sin: 7.0ms (65.5% of total)

ival-exp: 2.0ms (18.7% of total)

ival-mult: 2.0ms (18.7% of total)

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

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

series3.0ms (0%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

3 → 48

Calls

Call 1

Inputs
#<alt (*.f64 (exp.f64 re) (sin.f64 im))>
#<alt (exp.f64 re)>
#<alt (sin.f64 im)>

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

Calls

12 calls:

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

simplify390.0ms (2.3%)

Memory

20.8MiB live, 774.0MiB allocated

Algorithm

1×	egg-herbie

Rules

15 566×	`lower-fma.f64`
15 566×	`lower-fma.f32`
4 310×	`lower-*.f64`
4 310×	`lower-*.f32`
2 896×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	297
1	221	286
2	586	274
3	1574	268
4	2436	268
5	3110	268
6	3581	268
7	3732	268
8	4021	268
9	5977	268
0	8264	246

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

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)))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* 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))))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(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))))
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)

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

rewrite36.0ms (0.2%)

Memory

-1.4MiB live, 36.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4×	`lower-*.f32`
2×	`lift-sin.f64`
2×	`lift-exp.f64`
2×	`lower-*.f64`
2×	`lower-sin.f32`

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

eval73.0ms (0.4%)

Memory: -79.3MiB live, 51.0MiB allocated
Compiler: Compiled 393 to 47 computations (88% saved)

prune7.0ms (0%)

Memory

18.8MiB live, 18.8MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	45	6	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	6	52

Accuracy

99.6%

Counts

52 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.2%	(.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
	69.0%	(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
▶	65.5%	(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
▶	51.8%	(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
▶	72.1%	#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
▶	50.8%	#s(approx (* (exp re) (sin im)) (sin.f64 im))

Compiler

Compiled 128 to 78 computations (39.1% saved)

simplify15.0ms (0.1%)

Memory

-9.1MiB live, 28.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

180×	`lower-*.f32`
168×	`lower-*.f64`
104×	`lower-fma.f32`
98×	`lower-fma.f64`
58×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	138
0	42	138
1	67	138
2	94	135
3	123	135
4	134	135
5	137	135
6	164	135
7	164	135
8	176	135
9	176	135
10	188	135
11	188	135
0	188	132

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize195.0ms (1.2%)

Memory

38.4MiB live, 177.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im)
✓	accuracy	99.7%	(.f64 #s(literal -1/6 binary64) (.f64 im im))
✓	accuracy	99.6%	(.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
✓	accuracy	56.0%	#s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im))
✓	accuracy	100.0%	(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(sin.f64 im)
✓	accuracy	99.6%	(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
✓	accuracy	65.6%	#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 re #s(literal 1 binary64))
✓	accuracy	100.0%	(sin.f64 im)
✓	accuracy	99.6%	(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
✓	accuracy	52.1%	#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
✓	accuracy	100.0%	(sin.f64 im)
✓	accuracy	50.8%	#s(approx (* (exp re) (sin im)) (sin.f64 im))
✓	accuracy	100.0%	(exp.f64 re)
✓	accuracy	99.6%	(*.f64 im (exp.f64 re))
✓	accuracy	72.4%	#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))

Samples

166.0ms

256×

valid

Compiler

Compiled 94 to 20 computations (78.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

const: 42.0ms (61.2% of total)

ival-mult: 13.0ms (18.9% of total)

ival-sin: 6.0ms (8.7% of total)

ival-add: 5.0ms (7.3% of total)

ival-exp: 2.0ms (2.9% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

-15.8MiB live, 22.7MiB allocated

Counts

16 → 264

Calls

Call 1

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

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

Calls

66 calls:

Time	Variable		Point	Expression
2.0ms	re	@	-inf	(+ (* re (+ (* re 1/2) 1)) 1)
1.0ms	re	@	0	(* im (exp re))
0.0ms	im	@	inf	(+ (* im (* -1/6 (* im im))) im)
0.0ms	im	@	0	(* im (exp re))
0.0ms	im	@	inf	(* -1/6 (* im im))

simplify429.0ms (2.5%)

Memory

-11.0MiB live, 840.3MiB allocated

Algorithm

1×	egg-herbie

Rules

17 002×	`lower-fma.f64`
17 002×	`lower-fma.f32`
4 954×	`lower-*.f64`
4 954×	`lower-*.f32`
2 780×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	1649
1	328	1560
2	858	1528
3	2728	1498
4	5685	1498
5	7317	1498
0	8135	1378

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 258

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

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

rewrite421.0ms (2.5%)

Memory

7.7MiB live, 525.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 944×	`lower-fma.f32`
7 938×	`lower-fma.f64`
4 568×	`lower-*.f32`
4 556×	`lower-*.f64`
2 692×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	116
0	42	116
1	112	113
2	637	113
3	6265	113
0	8091	110

Stop Event

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

Counts

16 → 367

Calls

Call 1

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

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

eval82.0ms (0.5%)

Memory: -4.4MiB live, 186.8MiB allocated
Compiler: Compiled 14 684 to 1 353 computations (90.8% saved)

prune151.0ms (0.9%)

Memory

3.5MiB live, 174.1MiB allocated

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	651	16	667
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	652	21	673

Accuracy

99.6%

Counts

673 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.0%	(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
✓	65.5%	(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
	43.1%	(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
	44.7%	(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
	65.2%	(*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))) (sin.f64 im))
	65.5%	(.f64 #s(approx (exp re) (+.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re)) (sin.f64 im))
✓	51.8%	(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
▶	35.1%	(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
	35.7%	(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (.f64 im (*.f64 im im)) im)))
	34.3%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
✓	72.1%	#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
▶	45.2%	#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
	42.9%	#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
	33.8%	#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
▶	30.6%	#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
✓	50.8%	#s(approx (* (exp re) (sin im)) (sin.f64 im))
▶	38.2%	#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
	43.1%	#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
	33.8%	#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
	34.5%	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (*.f64 im im)) im)))
	34.3%	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (.f64 im (.f64 im im)) im)))

Compiler

Compiled 536 to 293 computations (45.3% saved)

simplify39.0ms (0.2%)

Memory

-1.3MiB live, 77.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Program
✓	cost-diff	#s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (*.f64 im im)) im))
✓	cost-diff	(+.f64 re #s(literal 1 binary64))
✓	cost-diff	#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
✓	cost-diff	(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
✓	cost-diff	(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	cost-diff	#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	cost-diff	(*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
✓	cost-diff	#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
✓	cost-diff	(*.f64 im re)
✓	cost-diff	(fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)
✓	cost-diff	#s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))
✓	cost-diff	#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
✓	cost-diff	#s(approx (exp re) #s(literal 1 binary64))
✓	cost-diff	(*.f64 im #s(approx (exp re) #s(literal 1 binary64)))
✓	cost-diff	#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
✓	cost-diff	(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	cost-diff	#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	cost-diff	(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))

Rules

924×	`lower-fma.f32`
910×	`lower-fma.f64`
570×	`lower-*.f32`
556×	`lower-*.f64`
278×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	290
0	59	282
1	109	282
2	202	282
3	425	282
4	711	282
5	782	282
6	792	282
7	792	282
0	792	282

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize164.0ms (1%)

Memory

3.3MiB live, 273.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 im (.f64 im im))
✓	accuracy	99.6%	(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
✓	accuracy	56.0%	#s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (*.f64 im im)) im))
✓	accuracy	52.1%	#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
✓	accuracy	99.8%	(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	99.6%	(*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
✓	accuracy	72.4%	#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
✓	accuracy	69.1%	#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 im re)
✓	accuracy	99.9%	(fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)
✓	accuracy	72.4%	#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
✓	accuracy	64.2%	#s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))
✓	accuracy	99.6%	(*.f64 im #s(approx (exp re) #s(literal 1 binary64)))
✓	accuracy	72.4%	#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
✓	accuracy	50.7%	#s(approx (exp re) #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	99.8%	(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	99.6%	(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
✓	accuracy	69.1%	#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))

Samples

101.0ms

256×

valid

Compiler

Compiled 178 to 31 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 49.0ms (64.3% of total)

ival-add: 9.0ms (11.8% of total)

const: 9.0ms (11.8% of total)

ival-sin: 6.0ms (7.9% of total)

ival-exp: 2.0ms (2.6% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

25.8MiB live, 25.8MiB allocated

Counts

19 → 348

Calls

Call 1

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

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

Calls

87 calls:

Time	Variable		Point	Expression
1.0ms	re	@	0	(+ (* re (+ (* re 1/6) 1/2)) 1)
1.0ms	im	@	0	(+ (* (* im re) (+ (* re 1/2) 1)) im)
0.0ms	im	@	inf	(+ (* (* im re) (+ (* re 1/2) 1)) im)
0.0ms	re	@	-inf	(+ (* (* im re) (+ (* re 1/2) 1)) im)
0.0ms	re	@	-inf	(+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1)

simplify376.0ms (2.2%)

Memory

-46.3MiB live, 531.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12 184×	`lower-fma.f64`
12 184×	`lower-fma.f32`
5 116×	`lower-*.f64`
5 116×	`lower-*.f32`
2 604×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	143	2147
1	460	2082
2	1315	2026
3	4009	1988
0	8226	1814

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 341

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

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

rewrite325.0ms (1.9%)

Memory

33.2MiB live, 668.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 074×	`lower-*.f32`
5 060×	`lower-*.f64`
4 558×	`lower-fma.f32`
4 544×	`lower-fma.f64`
4 438×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	207
0	59	201
1	200	201
2	1378	201
0	8142	201

Stop Event

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

Counts

19 → 273

Calls

Call 1

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

Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
(*.f64 (sin.f64 im) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))
(+.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal 1 binary64))
(+.f64 (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (+.f64 re #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re)
(-.f64 (/.f64 (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re))) (/.f64 (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re))) (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal 1 binary64))
(fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re (+.f64 re #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (.f64 (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (.f64 re (.f64 re re))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (-.f64 (.f64 re re) (.f64 (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) re)))) #s(literal 1 binary64))
(fma.f64 (-.f64 (.f64 (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (.f64 re re)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) re)) #s(literal 1 binary64))
(fma.f64 (.f64 re (fma.f64 (.f64 re (.f64 re re)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (.f64 re (fma.f64 re (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) re) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re))) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re))) (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re))))))
(/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))
(/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re))) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re))))
(/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re))) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re)))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) #s(literal -1 binary64))) (neg.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
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(+.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (/.f64 (*.f64 re re) (-.f64 #s(literal 1 binary64) re)))
(fma.f64 re #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))
(fma.f64 (*.f64 re re) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 re re) re)) (fma.f64 re (.f64 re re) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) (*.f64 re re))))
(/.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (fma.f64 re re (-.f64 #s(literal 1 binary64) re)))
(/.f64 (fma.f64 re (.f64 re re) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 re re) re)))
(/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64))) (neg.f64 (fma.f64 re re (-.f64 #s(literal 1 binary64) re))))
(/.f64 (neg.f64 (fma.f64 re (.f64 re re) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 re re) re))))
(/.f64 (neg.f64 (fma.f64 re re #s(literal -1 binary64))) (neg.f64 (+.f64 re #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(/.f64 (-.f64 (.f64 (.f64 re re) (+.f64 re #s(literal -1 binary64))) (.f64 (+.f64 re #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re (*.f64 re re)))) (fma.f64 re re (-.f64 #s(literal 1 binary64) re))))
(/.f64 (.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 re (*.f64 re re) #s(literal -1 binary64)) (fma.f64 re re (-.f64 #s(literal 1 binary64) re))))
(/.f64 (.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 re re) (.f64 re re) (+.f64 #s(literal 1 binary64) (*.f64 re re))) (+.f64 re #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 re re) (.f64 re re) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 re re #s(literal 1 binary64)) (+.f64 re #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 re re (-.f64 #s(literal 1 binary64) re)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 re re #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 re #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re))) (neg.f64 (-.f64 #s(literal 1 binary64) re)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 re re) (+.f64 re #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 (.f64 re re) (+.f64 re #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))
(.f64 (fma.f64 re (.f64 re re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re re (-.f64 #s(literal 1 binary64) re))))
(.f64 (fma.f64 re (.f64 re re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) re))))
(*.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))
(.f64 (neg.f64 (fma.f64 re (.f64 re re) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 re re (-.f64 #s(literal 1 binary64) re)))))
(*.f64 (neg.f64 (fma.f64 re re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 re #s(literal -1 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)))
#s(approx (sin im) (fma.f64 (.f64 im im) (.f64 im (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))
(+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
(+.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 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 re #s(literal 1/6 binary64)))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (.f64 re #s(literal 1/12 binary64)))) (fma.f64 (.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (*.f64 re re)))))
(/.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64))))
(/.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (*.f64 re #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (*.f64 re #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re)))) #s(literal 1/10077696 binary64) #s(literal 1/512 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/46656 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/1728 binary64)))) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/46656 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal -1/8 binary64)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/46656 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (.f64 #s(literal 1/36 binary64) (.f64 re re)) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) #s(literal 1/4 binary64)))) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (.f64 #s(literal 1/36 binary64) (.f64 re re)) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))))
(.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (.f64 re #s(literal 1/12 binary64))))))
(.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64))))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))
(exp.f64 (*.f64 (log.f64 im) #s(literal 3 binary64)))
(pow.f64 im #s(literal 3 binary64))
(pow.f64 (*.f64 im im) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 im #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 im)) #s(literal 3 binary64))
(.f64 im (.f64 im im))
(.f64 (.f64 im im) im)
(*.f64 (pow.f64 im #s(literal 3/2 binary64)) (pow.f64 im #s(literal 3/2 binary64)))

eval104.0ms (0.6%)

Memory: -8.2MiB live, 209.6MiB allocated
Compiler: Compiled 19 138 to 1 280 computations (93.3% saved)

prune115.0ms (0.7%)

Memory

31.7MiB live, 237.6MiB allocated

Pruning

39 alts after pruning (30 fresh and 9 done)

	Pruned	Kept	Total
New	788	20	808
Fresh	2	10	12
Picked	0	5	5
Done	0	4	4
Total	790	39	829

Accuracy

99.6%

Counts

829 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.0%	(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
	45.0%	(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
✓	65.5%	(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
	43.1%	(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
	44.7%	(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
	42.9%	(.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
▶	65.5%	(.f64 #s(approx (exp re) (+.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re)) (sin.f64 im))
✓	51.8%	(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
✓	35.1%	(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
	35.7%	(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (.f64 im (*.f64 im im)) im)))
	34.3%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
✓	72.1%	#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
	45.2%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) (+.f64 re #s(literal 1 binary64))))))
	34.4%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 (.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
	34.0%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
	45.2%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
▶	45.2%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))))
✓	45.2%	#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
	45.2%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
▶	45.2%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
	42.9%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ ( re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
	34.0%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
	32.0%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
	32.0%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))))))))
	33.8%	#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
	17.8%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))))
▶	18.0%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
	17.7%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))))))
✓	30.6%	#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
✓	50.8%	#s(approx (* (exp re) (sin im)) (sin.f64 im))
✓	38.2%	#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
	43.1%	#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
▶	33.8%	#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
	22.6%	#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)))) (-.f64 im (.f64 re (.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
	27.0%	#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (.f64 (fma.f64 im (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) im) (fma.f64 re (.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))) (fma.f64 re (.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im)))))
	15.6%	#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (.f64 im (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)))))
	15.9%	#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
	34.5%	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (*.f64 im im)) im)))
	34.3%	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (.f64 im (.f64 im im)) im)))

Compiler

Compiled 1 397 to 706 computations (49.5% saved)

simplify249.0ms (1.5%)

Memory

-19.7MiB live, 402.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
✓	cost-diff	128	(-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re)))
✓	cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (*.f64 re re)))))
✓	cost-diff	0	#s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))
✓	cost-diff	0	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))))
✓	cost-diff	320	(fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓	cost-diff	0	#s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
✓	cost-diff	0	#s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
✓	cost-diff	0	(.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
✓	cost-diff	0	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
✓	cost-diff	0	(fma.f64 im re im)
✓	cost-diff	0	#s(approx (* im (exp re)) (fma.f64 im re im))
✓	cost-diff	0	#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
✓	cost-diff	0	(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (exp re) (+.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re))
✓	cost-diff	0	(.f64 #s(approx (exp re) (+.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re)) (sin.f64 im))
✓	cost-diff	128	(+.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re)

Rules

7 218×	`lower-fma.f32`
7 202×	`lower-fma.f64`
2 412×	`lower-*.f32`
2 392×	`lower-*.f64`
1 098×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	470
0	81	461
1	158	456
2	277	449
3	593	449
4	1313	449
5	2135	449
6	4604	449
7	6440	449
0	8080	421

Stop Event

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

Calls

Call 1

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

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

localize222.0ms (1.3%)

Memory

12.4MiB live, 350.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.f64 re #s(literal 1/6 binary64))
✓	accuracy	76.3%	(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (*.f64 re re))))
✓	accuracy	72.4%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
✓	accuracy	69.1%	#s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.8%	(fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓	accuracy	99.6%	(.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))
✓	accuracy	72.4%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))))
✓	accuracy	69.1%	#s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	accuracy	99.6%	(.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
✓	accuracy	72.4%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
✓	accuracy	69.1%	#s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
✓	accuracy	50.9%	#s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
✓	accuracy	100.0%	(fma.f64 im re im)
✓	accuracy	72.4%	#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
✓	accuracy	56.9%	#s(approx (* im (exp re)) (fma.f64 im re im))
✓	accuracy	100.0%	(sin.f64 im)
✓	accuracy	100.0%	(+.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re)
✓	accuracy	99.6%	(.f64 #s(approx (exp re) (+.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re)) (sin.f64 im))
✓	accuracy	65.6%	#s(approx (exp re) (+.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re))

Samples

120.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 260 to 41 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-mult: 50.0ms (51.5% of total)

const: 19.0ms (19.6% of total)

ival-add: 12.0ms (12.4% of total)

ival-sin: 6.0ms (6.2% of total)

ival-div: 3.0ms (3.1% of total)

ival-exp: 3.0ms (3.1% of total)

ival-sub: 2.0ms (2.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series3.6s (21.4%)

Memory

-28.2MiB live, 13.1MiB allocated

Counts

23 → 384

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (* 1/2 (pow re 2))>
#<alt (* (pow re 2) (+ 1/2 (/ 1 re)))>
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))>
#<alt (* 1/2 (pow re 2))>
#<alt (* (pow re 2) (+ 1/2 (/ 1 re)))>
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))>
#<alt (sin im)>
#<alt (+ (sin im) (* re (sin im)))>
#<alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))>
#<alt (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* im (exp re))>
#<alt (* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))>
#<alt (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))>
#<alt (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow re 2)))>
#<alt (+ 1 (* 1/2 (pow re 2)))>
#<alt (+ 1 (* 1/2 (pow re 2)))>
#<alt (* 1/2 (pow re 2))>
#<alt (* (pow re 2) (+ 1/2 (/ 1 (pow re 2))))>
#<alt (* (pow re 2) (+ 1/2 (/ 1 (pow re 2))))>
#<alt (* (pow re 2) (+ 1/2 (/ 1 (pow re 2))))>
#<alt (* 1/2 (pow re 2))>
#<alt (* (pow re 2) (+ 1/2 (/ 1 (pow re 2))))>
#<alt (* (pow re 2) (+ 1/2 (/ 1 (pow re 2))))>
#<alt (* (pow re 2) (+ 1/2 (/ 1 (pow re 2))))>
#<alt (sin im)>
#<alt (+ (sin im) (* re (sin im)))>
#<alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))>
#<alt (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* im (exp re))>
#<alt (* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))>
#<alt (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))>
#<alt (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt im>
#<alt (+ im (* im re))>
#<alt (+ im (* re (+ im (* 1/2 (* im re)))))>
#<alt (+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (+ 1 re))>
#<alt (* im (+ 1 re))>
#<alt (* im (+ 1 re))>
#<alt (* im (+ 1 re))>
#<alt (* im (+ 1 re))>
#<alt (* im (+ 1 re))>
#<alt (* im (+ 1 re))>
#<alt (* im (+ 1 re))>
#<alt (* -1 (* im (- (* -1 re) 1)))>
#<alt (* -1 (* im (- (* -1 re) 1)))>
#<alt (* -1 (* im (- (* -1 re) 1)))>
#<alt (* -1 (* im (- (* -1 re) 1)))>
#<alt im>
#<alt (+ im (* im re))>
#<alt (+ im (* im re))>
#<alt (+ im (* im re))>
#<alt (* im re)>
#<alt (* re (+ im (/ im re)))>
#<alt (* re (+ im (/ im re)))>
#<alt (* re (+ im (/ im re)))>
#<alt (* im re)>
#<alt (* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))>
#<alt (* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))>
#<alt (* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))>
#<alt (sin im)>
#<alt (+ (sin im) (* re (sin im)))>
#<alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))>
#<alt (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* im (exp re))>
#<alt (* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))>
#<alt (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))>
#<alt (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt im>
#<alt (+ im (* im re))>
#<alt (+ im (* re (+ im (* 1/2 (* im re)))))>
#<alt (+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))>
#<alt 1>
#<alt (+ 1 (* 1/2 re))>
#<alt (+ 1 (* re (+ 1/2 (* 1/6 re))))>
#<alt (+ 1 (* re (+ 1/2 (* 1/6 re))))>
#<alt (* 1/6 (pow re 2))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* 1/6 (pow re 2))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (sin im)>
#<alt (+ (sin im) (* re (sin im)))>
#<alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))>
#<alt (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* im (exp re))>
#<alt (* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))>
#<alt (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))>
#<alt (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt im>
#<alt (+ im (* im re))>
#<alt (+ im (* re (+ im (* 1/2 (* im re)))))>
#<alt (+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt (* im (exp re))>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 re))>
#<alt (+ 1/2 (* 1/6 re))>
#<alt (+ 1/2 (* 1/6 re))>
#<alt (* 1/6 re)>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* 1/6 re)>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 re))>
#<alt (+ 1/2 (* -1/6 re))>
#<alt (+ 1/2 (* -1/6 re))>
#<alt (* -1/6 re)>
#<alt (* re (- (* 1/2 (/ 1 re)) 1/6))>
#<alt (* re (- (* 1/2 (/ 1 re)) 1/6))>
#<alt (* re (- (* 1/2 (/ 1 re)) 1/6))>
#<alt (* -1/6 re)>
#<alt (* -1 (* re (- 1/6 (* 1/2 (/ 1 re)))))>
#<alt (* -1 (* re (- 1/6 (* 1/2 (/ 1 re)))))>
#<alt (* -1 (* re (- 1/6 (* 1/2 (/ 1 re)))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/36 (pow re 2)))>
#<alt (+ 1/4 (* -1/36 (pow re 2)))>
#<alt (+ 1/4 (* -1/36 (pow re 2)))>
#<alt (* -1/36 (pow re 2))>
#<alt (* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36))>
#<alt (* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36))>
#<alt (* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36))>
#<alt (* -1/36 (pow re 2))>
#<alt (* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36))>
#<alt (* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36))>
#<alt (* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36))>
#<alt (sin im)>
#<alt (+ (sin im) (* re (sin im)))>
#<alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))>
#<alt (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* im (exp re))>
#<alt (* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))>
#<alt (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))>
#<alt (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt (* (exp re) (sin im))>
#<alt im>
#<alt (* im (+ 1 (* -1/6 (pow im 2))))>
#<alt (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))>
#<alt (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))>
#<alt (sin im)>
#<alt (sin im)>
#<alt (sin im)>
#<alt (sin im)>
#<alt (sin im)>
#<alt (sin im)>
#<alt (sin im)>
#<alt (sin im)>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt 2>
#<alt (+ 2 (* -2/3 re))>
#<alt (+ 2 (* re (- (* 2/9 re) 2/3)))>
#<alt (+ 2 (* re (- (* re (+ 2/9 (* -2/27 re))) 2/3)))>
#<alt (/ 6 re)>
#<alt (/ (- 6 (* 18 (/ 1 re))) re)>
#<alt (/ (- (+ 6 (/ 54 (pow re 2))) (* 18 (/ 1 re))) re)>
#<alt (/ (- (+ 6 (/ 54 (pow re 2))) (+ (* 18 (/ 1 re)) (* 162 (/ 1 (pow re 3))))) re)>
#<alt (/ 6 re)>
#<alt (* -1 (/ (- (* 18 (/ 1 re)) 6) re))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 54 (/ 1 re)) 18) re)) 6) re))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 162 (/ 1 re)) 54) re)) 18) re)) 6) re))>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>

Calls

96 calls:

Time	Variable		Point	Expression
0.0ms	re	@	0	(/ 1 (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))))
0.0ms	re	@	inf	(/ 1 (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))))
0.0ms	re	@	inf	(* re 1/6)
0.0ms	re	@	inf	(+ (* re (* re 1/2)) 1)
0.0ms	re	@	-inf	(/ 1 (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))))

simplify4.3s (25.4%)

Memory

-17.8MiB live, 525.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 376×	`lower-fma.f64`
12 376×	`lower-fma.f32`
4 776×	`lower-*.f64`
4 776×	`lower-*.f32`
2 814×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	2341
1	643	2276
2	1666	2222
3	4712	2186
0	8060	1982

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 379

Calls

Call 1

Inputs
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* 1/2 re))))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(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)))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* 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))))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
1
(+ 1 (* 1/2 (pow re 2)))
(+ 1 (* 1/2 (pow re 2)))
(+ 1 (* 1/2 (pow re 2)))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 (pow re 2))))
(* (pow re 2) (+ 1/2 (/ 1 (pow re 2))))
(* (pow re 2) (+ 1/2 (/ 1 (pow re 2))))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 (pow re 2))))
(* (pow re 2) (+ 1/2 (/ 1 (pow re 2))))
(* (pow re 2) (+ 1/2 (/ 1 (pow re 2))))
(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)))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* 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))))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (+ 1 re))
(* im (+ 1 re))
(* im (+ 1 re))
(* im (+ 1 re))
(* im (+ 1 re))
(* im (+ 1 re))
(* im (+ 1 re))
(* im (+ 1 re))
(* -1 (* im (- (* -1 re) 1)))
(* -1 (* im (- (* -1 re) 1)))
(* -1 (* im (- (* -1 re) 1)))
(* -1 (* im (- (* -1 re) 1)))
im
(+ im (* im re))
(+ im (* im re))
(+ im (* im re))
(* im re)
(* re (+ im (/ im re)))
(* re (+ im (/ im re)))
(* re (+ im (/ im re)))
(* im re)
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(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)))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* 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))))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 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 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
1
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(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)))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* 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))))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
1/2
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
1/2
(+ 1/2 (* -1/6 re))
(+ 1/2 (* -1/6 re))
(+ 1/2 (* -1/6 re))
(* -1/6 re)
(* re (- (* 1/2 (/ 1 re)) 1/6))
(* re (- (* 1/2 (/ 1 re)) 1/6))
(* re (- (* 1/2 (/ 1 re)) 1/6))
(* -1/6 re)
(* -1 (* re (- 1/6 (* 1/2 (/ 1 re)))))
(* -1 (* re (- 1/6 (* 1/2 (/ 1 re)))))
(* -1 (* re (- 1/6 (* 1/2 (/ 1 re)))))
1/4
(+ 1/4 (* -1/36 (pow re 2)))
(+ 1/4 (* -1/36 (pow re 2)))
(+ 1/4 (* -1/36 (pow re 2)))
(* -1/36 (pow re 2))
(* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36))
(* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36))
(* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36))
(* -1/36 (pow re 2))
(* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36))
(* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36))
(* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36))
(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)))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* 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))))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
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))))
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
2
(+ 2 (* -2/3 re))
(+ 2 (* re (- (* 2/9 re) 2/3)))
(+ 2 (* re (- (* re (+ 2/9 (* -2/27 re))) 2/3)))
(/ 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)
(/ 6 re)
(* -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))
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)

Outputs
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow re 2))
(.f64 #s(literal 1/2 binary64) (.f64 re re))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow re 2))
(.f64 #s(literal 1/2 binary64) (.f64 re re))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(*.f64 (+.f64 #s(literal 1 binary64) re) (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(.f64 (exp.f64 re) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(.f64 (exp.f64 re) (.f64 im (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(* 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 im (.f64 (exp.f64 re) (fma.f64 im (.f64 im (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow re 2)))
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/2 (pow re 2)))
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/2 (pow re 2)))
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/2 (pow re 2))
(.f64 #s(literal 1/2 binary64) (.f64 re re))
(* (pow re 2) (+ 1/2 (/ 1 (pow re 2))))
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow re 2) (+ 1/2 (/ 1 (pow re 2))))
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow re 2) (+ 1/2 (/ 1 (pow re 2))))
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/2 (pow re 2))
(.f64 #s(literal 1/2 binary64) (.f64 re re))
(* (pow re 2) (+ 1/2 (/ 1 (pow re 2))))
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow re 2) (+ 1/2 (/ 1 (pow re 2))))
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow re 2) (+ 1/2 (/ 1 (pow re 2))))
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(*.f64 (+.f64 #s(literal 1 binary64) re) (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(.f64 (exp.f64 re) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(.f64 (exp.f64 re) (.f64 im (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(* 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 im (.f64 (exp.f64 re) (fma.f64 im (.f64 im (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
im
(+ im (* im re))
(fma.f64 re im im)
(+ im (* re (+ im (* 1/2 (* im re)))))
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(fma.f64 re (fma.f64 (*.f64 re im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (+ 1 re))
(fma.f64 re im im)
(* im (+ 1 re))
(fma.f64 re im im)
(* im (+ 1 re))
(fma.f64 re im im)
(* im (+ 1 re))
(fma.f64 re im im)
(* im (+ 1 re))
(fma.f64 re im im)
(* im (+ 1 re))
(fma.f64 re im im)
(* im (+ 1 re))
(fma.f64 re im im)
(* im (+ 1 re))
(fma.f64 re im im)
(* -1 (* im (- (* -1 re) 1)))
(fma.f64 re im im)
(* -1 (* im (- (* -1 re) 1)))
(fma.f64 re im im)
(* -1 (* im (- (* -1 re) 1)))
(fma.f64 re im im)
(* -1 (* im (- (* -1 re) 1)))
(fma.f64 re im im)
im
(+ im (* im re))
(fma.f64 re im im)
(+ im (* im re))
(fma.f64 re im im)
(+ im (* im re))
(fma.f64 re im im)
(* im re)
(*.f64 re im)
(* re (+ im (/ im re)))
(fma.f64 re im im)
(* re (+ im (/ im re)))
(fma.f64 re im im)
(* re (+ im (/ im re)))
(fma.f64 re im im)
(* im re)
(*.f64 re im)
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(fma.f64 re im im)
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(fma.f64 re im im)
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(fma.f64 re im im)
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(*.f64 (+.f64 #s(literal 1 binary64) re) (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(.f64 (exp.f64 re) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(.f64 (exp.f64 re) (.f64 im (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(* 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 im (.f64 (exp.f64 re) (fma.f64 im (.f64 im (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
im
(+ im (* im re))
(fma.f64 re im im)
(+ im (* re (+ im (* 1/2 (* im re)))))
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(fma.f64 re (fma.f64 (*.f64 re im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/6 (pow re 3))
(.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/6 (pow re 3))
(.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(.f64 (.f64 re re) (*.f64 re (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(.f64 re (.f64 (.f64 re re) (+.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (.f64 re re)) #s(literal 1/2 binary64)) re))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 re))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/6 (pow re 2))
(.f64 re (.f64 re #s(literal 1/6 binary64)))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/6 (pow re 2))
(.f64 re (.f64 re #s(literal 1/6 binary64)))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(*.f64 (+.f64 #s(literal 1 binary64) re) (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(.f64 (exp.f64 re) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(.f64 (exp.f64 re) (.f64 im (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(* 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 im (.f64 (exp.f64 re) (fma.f64 im (.f64 im (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
im
(+ im (* im re))
(fma.f64 re im im)
(+ im (* re (+ im (* 1/2 (* im re)))))
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(fma.f64 re (fma.f64 (*.f64 re im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 re))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 re))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 re))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/6 re))
(fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/6 re))
(fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/6 re))
(fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* -1/6 re)
(*.f64 re #s(literal -1/6 binary64))
(* re (- (* 1/2 (/ 1 re)) 1/6))
(fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* re (- (* 1/2 (/ 1 re)) 1/6))
(fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* re (- (* 1/2 (/ 1 re)) 1/6))
(fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* -1/6 re)
(*.f64 re #s(literal -1/6 binary64))
(* -1 (* re (- 1/6 (* 1/2 (/ 1 re)))))
(fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* -1 (* re (- 1/6 (* 1/2 (/ 1 re)))))
(fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* -1 (* re (- 1/6 (* 1/2 (/ 1 re)))))
(fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/36 (pow re 2)))
(fma.f64 re (*.f64 re #s(literal -1/36 binary64)) #s(literal 1/4 binary64))
(+ 1/4 (* -1/36 (pow re 2)))
(fma.f64 re (*.f64 re #s(literal -1/36 binary64)) #s(literal 1/4 binary64))
(+ 1/4 (* -1/36 (pow re 2)))
(fma.f64 re (*.f64 re #s(literal -1/36 binary64)) #s(literal 1/4 binary64))
(* -1/36 (pow re 2))
(.f64 re (.f64 re #s(literal -1/36 binary64)))
(* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36))
(fma.f64 re (*.f64 re #s(literal -1/36 binary64)) #s(literal 1/4 binary64))
(* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36))
(fma.f64 re (*.f64 re #s(literal -1/36 binary64)) #s(literal 1/4 binary64))
(* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36))
(fma.f64 re (*.f64 re #s(literal -1/36 binary64)) #s(literal 1/4 binary64))
(* -1/36 (pow re 2))
(.f64 re (.f64 re #s(literal -1/36 binary64)))
(* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36))
(fma.f64 re (*.f64 re #s(literal -1/36 binary64)) #s(literal 1/4 binary64))
(* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36))
(fma.f64 re (*.f64 re #s(literal -1/36 binary64)) #s(literal 1/4 binary64))
(* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36))
(fma.f64 re (*.f64 re #s(literal -1/36 binary64)) #s(literal 1/4 binary64))
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(*.f64 (+.f64 #s(literal 1 binary64) re) (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(.f64 (exp.f64 re) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(.f64 (exp.f64 re) (.f64 im (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(* 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 im (.f64 (exp.f64 re) (fma.f64 im (.f64 im (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
im
(* im (+ 1 (* -1/6 (pow im 2))))
(fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im)
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(.f64 im (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(fma.f64 (.f64 im im) (.f64 im (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
2
#s(literal 2 binary64)
(+ 2 (* -2/3 re))
(fma.f64 re #s(literal -2/3 binary64) #s(literal 2 binary64))
(+ 2 (* re (- (* 2/9 re) 2/3)))
(fma.f64 re (fma.f64 re #s(literal 2/9 binary64) #s(literal -2/3 binary64)) #s(literal 2 binary64))
(+ 2 (* re (- (* re (+ 2/9 (* -2/27 re))) 2/3)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal -2/27 binary64) #s(literal 2/9 binary64)) #s(literal -2/3 binary64)) #s(literal 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 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 18 binary64) (/.f64 #s(literal -54 binary64) re)) re)) re)
(/ (- (+ 6 (/ 54 (pow re 2))) (+ (* 18 (/ 1 re)) (* 162 (/ 1 (pow re 3))))) 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)
(/ 6 re)
(/.f64 #s(literal 6 binary64) re)
(* -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 #s(literal 18 binary64) (/.f64 #s(literal -54 binary64) re)) 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)
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))

rewrite538.0ms (3.2%)

Memory

28.9MiB live, 301.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 108×	`lower-fma.f32`
5 094×	`lower-fma.f64`
4 434×	`lower-*.f32`
4 416×	`lower-*.f64`
4 368×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	335
0	81	307
1	322	279
2	2430	279
0	8831	274

Stop Event

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

Counts

23 → 525

Calls

Call 1

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

Outputs
(+.f64 re (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))
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(.f64 (/.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64)))) (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))
(.f64 (/.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal -1/216 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re #s(literal 1/6 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))) (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) #s(literal -1/46656 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re (.f64 re #s(literal 1/36 binary64))) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal -1/216 binary64))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) #s(literal -1/46656 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re #s(literal 1/6 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re (.f64 re #s(literal 1/36 binary64))) (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal -1/216 binary64))) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re #s(literal 1/6 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) #s(literal -1/46656 binary64)))) (/.f64 (-.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re (.f64 re #s(literal 1/36 binary64))) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64)))) (/.f64 (-.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) #s(literal -1/46656 binary64)))) (/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re (.f64 re #s(literal 1/36 binary64))) (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64)))) (/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal -1/216 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re #s(literal 1/6 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64))) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) #s(literal -1/46656 binary64))) (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re (.f64 re #s(literal 1/36 binary64))) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64))) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.f64 (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal -1/216 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))) (fma.f64 (.f64 re #s(literal 1/6 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.f64 (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 re #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) re)

eval402.0ms (2.4%)

Memory: 0.7MiB live, 159.1MiB allocated
Compiler: Compiled 23 046 to 2 982 computations (87.1% saved)

prune363.0ms (2.2%)

Memory

-20.9MiB live, 215.8MiB allocated

Pruning

50 alts after pruning (37 fresh and 13 done)

	Pruned	Kept	Total
New	884	20	904
Fresh	8	17	25
Picked	1	4	5
Done	0	9	9
Total	893	50	943

Accuracy

99.6%

Counts

943 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.0%	(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
	45.0%	(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
✓	65.5%	(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
	43.1%	(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
	44.7%	(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
	42.9%	(.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
✓	65.5%	(.f64 #s(approx (exp re) (+.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re)) (sin.f64 im))
✓	51.8%	(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
✓	35.1%	(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
	35.7%	(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (.f64 im (*.f64 im im)) im)))
	34.3%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
✓	72.1%	#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
	45.2%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) (+.f64 re #s(literal 1 binary64))))))
	34.4%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 (.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
	45.2%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (/.f64 re (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
	45.2%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
	34.0%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64))))) (/.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
	34.0%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
✓	45.2%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))))
✓	45.2%	#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
	45.2%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
	31.6%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64))) (.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
	30.8%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) #s(literal -1/46656 binary64))) (.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 (.f64 re (.f64 re #s(literal 1/36 binary64))) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
	45.2%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal -1/6 binary64)) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
	32.9%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 ( re 1/6)) (- 1/4 (* 1/36 (* re re)))) (fma.f64 re #s(literal -2/3 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
	44.9%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 ( re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
	42.9%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (/ 1 (/ (- 1/2 ( re 1/6)) (- 1/4 (* 1/36 (* re re))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
	34.0%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
	32.0%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
	33.8%	#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
	17.8%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)))))
	18.0%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
	16.8%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 (.f64 re re) (*.f64 re (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re))))))))
✓	18.0%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
	17.7%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))))))))
	17.7%	#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))))))
✓	30.6%	#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
✓	50.8%	#s(approx (* (exp re) (sin im)) (sin.f64 im))
✓	38.2%	#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
	43.1%	#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
✓	33.8%	#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
	17.2%	#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (fma.f64 (.f64 re im) (.f64 im (.f64 re (.f64 re im))) (.f64 im (.f64 im im))) (fma.f64 im im (-.f64 (.f64 im (.f64 re (.f64 re im))) (.f64 re (*.f64 im im)))))))
	22.6%	#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)))) (-.f64 im (.f64 re (.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
	24.5%	#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (.f64 (fma.f64 re im im) (-.f64 (.f64 re im) im)) (-.f64 (*.f64 re im) im))))
	33.8%	#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
	15.6%	#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (.f64 im (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)))))
	15.9%	#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
	6.7%	#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
	34.5%	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (*.f64 im im)) im)))
	34.3%	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (.f64 im (.f64 im im)) im)))

Compiler

Compiled 2 126 to 760 computations (64.3% saved)

regimes267.0ms (1.6%)

Memory

-1.8MiB live, 115.8MiB allocated

Counts

63 → 1

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (.f64 im (.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (.f64 im (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ ( re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (/ 1 (/ (- 1/2 ( re 1/6)) (- 1/4 (* 1/36 (* re re))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) (+.f64 re #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 ( re 1/6)) (- 1/4 (* 1/36 (* re re)))) (fma.f64 re #s(literal -2/3 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (.f64 (fma.f64 re im im) (-.f64 (.f64 re im) im)) (-.f64 (*.f64 re im) im))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (/.f64 re (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 (.f64 re re) (*.f64 re (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re))))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
(.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 ( re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal -1/6 binary64)) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 (.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (.f64 (fma.f64 im (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) im) (fma.f64 re (.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))) (fma.f64 re (.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64))) (.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)))) (-.f64 im (.f64 re (.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (fma.f64 (.f64 re im) (.f64 im (.f64 re (.f64 re im))) (.f64 im (.f64 im im))) (fma.f64 im im (-.f64 (.f64 im (.f64 re (.f64 re im))) (.f64 re (*.f64 im im)))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64))))) (/.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) #s(literal -1/46656 binary64))) (.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 (.f64 re (.f64 re #s(literal 1/36 binary64))) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
(.f64 #s(approx (exp re) (+.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re)) (sin.f64 im))
(.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))

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

Calls

5 calls:

84.0ms	im
76.0ms	(exp.f64 re)
18.0ms	(sin.f64 im)
17.0ms	re
16.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

Results

Accuracy	Segments	Branch
99.6%	1	`re`
99.6%	1	`im`
99.6%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`
99.6%	1	`(exp.f64 re)`
99.6%	1	`(sin.f64 im)`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes205.0ms (1.2%)

Memory

38.4MiB live, 115.6MiB allocated

Counts

62 → 4

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (.f64 im (.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (.f64 im (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ ( re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (/ 1 (/ (- 1/2 ( re 1/6)) (- 1/4 (* 1/36 (* re re))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) (+.f64 re #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 ( re 1/6)) (- 1/4 (* 1/36 (* re re)))) (fma.f64 re #s(literal -2/3 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (.f64 (fma.f64 re im im) (-.f64 (.f64 re im) im)) (-.f64 (*.f64 re im) im))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (/.f64 re (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 (.f64 re re) (*.f64 re (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re))))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
(.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 ( re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal -1/6 binary64)) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 (.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (.f64 (fma.f64 im (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) im) (fma.f64 re (.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))) (fma.f64 re (.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64))) (.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)))) (-.f64 im (.f64 re (.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (fma.f64 (.f64 re im) (.f64 im (.f64 re (.f64 re im))) (.f64 im (.f64 im im))) (fma.f64 im im (-.f64 (.f64 im (.f64 re (.f64 re im))) (.f64 re (*.f64 im im)))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64))))) (/.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) #s(literal -1/46656 binary64))) (.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 (.f64 re (.f64 re #s(literal 1/36 binary64))) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
(.f64 #s(approx (exp re) (+.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re)) (sin.f64 im))
(.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))) (sin.f64 im))

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

Calls

5 calls:

85.0ms	im
67.0ms	(exp.f64 re)
17.0ms	re
17.0ms	(sin.f64 im)
15.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

Results

Accuracy	Segments	Branch
98.1%	4	`re`
84.4%	2	`im`
99.6%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`
94.1%	3	`(exp.f64 re)`
87.8%	4	`(sin.f64 im)`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes102.0ms (0.6%)

Memory

-23.1MiB live, 93.3MiB allocated

Counts

60 → 5

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (.f64 im (.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (.f64 im (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ ( re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (/ 1 (/ (- 1/2 ( re 1/6)) (- 1/4 (* 1/36 (* re re))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) (+.f64 re #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 ( re 1/6)) (- 1/4 (* 1/36 (* re re)))) (fma.f64 re #s(literal -2/3 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (.f64 (fma.f64 re im im) (-.f64 (.f64 re im) im)) (-.f64 (*.f64 re im) im))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (/.f64 re (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 (.f64 re re) (*.f64 re (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re))))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
(.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 ( re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal -1/6 binary64)) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 (.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (.f64 (fma.f64 im (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) im) (fma.f64 re (.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))) (fma.f64 re (.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64))) (.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)))) (-.f64 im (.f64 re (.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (fma.f64 (.f64 re im) (.f64 im (.f64 re (.f64 re im))) (.f64 im (.f64 im im))) (fma.f64 im im (-.f64 (.f64 im (.f64 re (.f64 re im))) (.f64 re (*.f64 im im)))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64))))) (/.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) #s(literal -1/46656 binary64))) (.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 (.f64 re (.f64 re #s(literal 1/36 binary64))) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
(.f64 #s(approx (exp re) (+.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re)) (sin.f64 im))
(.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))

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

Calls

2 calls:

81.0ms	re
17.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

Results

Accuracy	Segments	Branch
99.5%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`
97.6%	4	`re`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes20.0ms (0.1%)

Memory

10.5MiB live, 48.9MiB allocated

Counts

57 → 5

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (.f64 im (.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (.f64 im (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ ( re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (/ 1 (/ (- 1/2 ( re 1/6)) (- 1/4 (* 1/36 (* re re))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) (+.f64 re #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 ( re 1/6)) (- 1/4 (* 1/36 (* re re)))) (fma.f64 re #s(literal -2/3 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (.f64 (fma.f64 re im im) (-.f64 (.f64 re im) im)) (-.f64 (*.f64 re im) im))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (/.f64 re (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 (.f64 re re) (*.f64 re (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re))))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
(.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 ( re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal -1/6 binary64)) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 (.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (.f64 (fma.f64 im (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) im) (fma.f64 re (.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))) (fma.f64 re (.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64))) (.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)))) (-.f64 im (.f64 re (.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (fma.f64 (.f64 re im) (.f64 im (.f64 re (.f64 re im))) (.f64 im (.f64 im im))) (fma.f64 im im (-.f64 (.f64 im (.f64 re (.f64 re im))) (.f64 re (*.f64 im im)))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64))))) (/.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) #s(literal -1/46656 binary64))) (.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 (.f64 re (.f64 re #s(literal 1/36 binary64))) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))

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

Calls

1 calls:

17.0ms

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

Results

Accuracy	Segments	Branch
99.4%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes43.0ms (0.3%)

Memory

6.8MiB live, 56.3MiB allocated

Counts

56 → 5

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (.f64 im (.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (.f64 im (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ ( re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (/ 1 (/ (- 1/2 ( re 1/6)) (- 1/4 (* 1/36 (* re re))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) (+.f64 re #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 ( re 1/6)) (- 1/4 (* 1/36 (* re re)))) (fma.f64 re #s(literal -2/3 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (.f64 (fma.f64 re im im) (-.f64 (.f64 re im) im)) (-.f64 (*.f64 re im) im))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (/.f64 re (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 (.f64 re re) (*.f64 re (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re))))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
(.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 ( re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal -1/6 binary64)) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 (.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (.f64 (fma.f64 im (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) im) (fma.f64 re (.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))) (fma.f64 re (.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64))) (.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)))) (-.f64 im (.f64 re (.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (fma.f64 (.f64 re im) (.f64 im (.f64 re (.f64 re im))) (.f64 im (.f64 im im))) (fma.f64 im im (-.f64 (.f64 im (.f64 re (.f64 re im))) (.f64 re (*.f64 im im)))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64))))) (/.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) #s(literal -1/46656 binary64))) (.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 (.f64 re (.f64 re #s(literal 1/36 binary64))) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))

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

Calls

2 calls:

24.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
16.0ms	re

Results

Accuracy	Segments	Branch
91.9%	3	`re`
98.7%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes244.0ms (1.4%)

Memory

-17.4MiB live, 139.3MiB allocated

Counts

55 → 3

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (.f64 im (.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (.f64 im (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ ( re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (/ 1 (/ (- 1/2 ( re 1/6)) (- 1/4 (* 1/36 (* re re))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) (+.f64 re #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 ( re 1/6)) (- 1/4 (* 1/36 (* re re)))) (fma.f64 re #s(literal -2/3 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (.f64 (fma.f64 re im im) (-.f64 (.f64 re im) im)) (-.f64 (*.f64 re im) im))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (/.f64 re (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 (.f64 re re) (*.f64 re (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re))))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
(.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 ( re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal -1/6 binary64)) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 (.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (.f64 (fma.f64 im (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) im) (fma.f64 re (.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))) (fma.f64 re (.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64))) (.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)))) (-.f64 im (.f64 re (.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (fma.f64 (.f64 re im) (.f64 im (.f64 re (.f64 re im))) (.f64 im (.f64 im im))) (fma.f64 im im (-.f64 (.f64 im (.f64 re (.f64 re im))) (.f64 re (*.f64 im im)))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64))))) (/.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) #s(literal -1/46656 binary64))) (.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 (.f64 re (.f64 re #s(literal 1/36 binary64))) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))

Outputs

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

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

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

Calls

5 calls:

101.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
61.0ms	(exp.f64 re)
44.0ms	(sin.f64 im)
19.0ms	im
15.0ms	re

Results

Accuracy	Segments	Branch
60.7%	2	`im`
60.7%	3	`(sin.f64 im)`
69.6%	4	`re`
67.7%	3	`(exp.f64 re)`
71.8%	3	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes84.0ms (0.5%)

Memory

29.5MiB live, 184.4MiB allocated

Counts

54 → 3

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (.f64 im (.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (.f64 im (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ ( re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (/ 1 (/ (- 1/2 ( re 1/6)) (- 1/4 (* 1/36 (* re re))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) (+.f64 re #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 ( re 1/6)) (- 1/4 (* 1/36 (* re re)))) (fma.f64 re #s(literal -2/3 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (.f64 (fma.f64 re im im) (-.f64 (.f64 re im) im)) (-.f64 (*.f64 re im) im))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (/.f64 re (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 (.f64 re re) (*.f64 re (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re))))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
(.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 ( re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal -1/6 binary64)) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 (.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (.f64 (fma.f64 im (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) im) (fma.f64 re (.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))) (fma.f64 re (.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64))) (.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)))) (-.f64 im (.f64 re (.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (fma.f64 (.f64 re im) (.f64 im (.f64 re (.f64 re im))) (.f64 im (.f64 im im))) (fma.f64 im im (-.f64 (.f64 im (.f64 re (.f64 re im))) (.f64 re (*.f64 im im)))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64))))) (/.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) #s(literal -1/46656 binary64))) (.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 (.f64 re (.f64 re #s(literal 1/36 binary64))) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))

Outputs

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

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

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

Calls

5 calls:

19.0ms	im
18.0ms	re
15.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
15.0ms	(sin.f64 im)
13.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
52.2%	2	`(sin.f64 im)`
45.2%	1	`im`
48.0%	2	`(exp.f64 re)`
49.8%	3	`re`
55.0%	3	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes18.0ms (0.1%)

Memory

3.7MiB live, 40.8MiB allocated

Counts

50 → 2

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (.f64 im (.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (.f64 im (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ ( re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (/ 1 (/ (- 1/2 ( re 1/6)) (- 1/4 (* 1/36 (* re re))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) (+.f64 re #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 ( re 1/6)) (- 1/4 (* 1/36 (* re re)))) (fma.f64 re #s(literal -2/3 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (.f64 (fma.f64 re im im) (-.f64 (.f64 re im) im)) (-.f64 (*.f64 re im) im))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (/.f64 re (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 (.f64 re re) (*.f64 re (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re))))))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
(.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 ( re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal -1/6 binary64)) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 (.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (.f64 (fma.f64 im (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) im) (fma.f64 re (.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))) (fma.f64 re (.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64))) (.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)))) (-.f64 im (.f64 re (.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))))))

Outputs

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

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

Calls

1 calls:

13.0ms

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

Results

Accuracy	Segments	Branch
52.3%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes19.0ms (0.1%)

Memory

-19.9MiB live, 58.8MiB allocated

Counts

26 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
50.7%	2	`(sin.f64 im)`
50.9%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes17.0ms (0.1%)

Memory

7.8MiB live, 50.4MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
49.6%	2	`(sin.f64 im)`
50.0%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes15.0ms (0.1%)

Memory

2.7MiB live, 42.1MiB allocated

Counts

21 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
47.5%	2	`(sin.f64 im)`
49.5%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes6.0ms (0%)

Memory

-24.6MiB live, 14.7MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
49.3%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes13.0ms (0.1%)

Memory

32.4MiB live, 32.4MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
42.9%	1	`(exp.f64 re)`
42.9%	1	`re`
47.6%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes8.0ms (0%)

Memory

-18.6MiB live, 20.1MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
42.6%	2	`(sin.f64 im)`
47.3%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes16.0ms (0.1%)

Memory

-21.6MiB live, 25.6MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

8.0ms	re
3.0ms	im
2.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
2.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
42.8%	2	`re`
42.8%	2	`(exp.f64 re)`
35.9%	2	`im`
43.0%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes12.0ms (0.1%)

Memory

22.6MiB live, 22.6MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
33.8%	1	`im`
33.8%	1	`(sin.f64 im)`
33.8%	1	`re`
33.8%	1	`(exp.f64 re)`
33.8%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes10.0ms (0.1%)

Memory

-18.4MiB live, 21.0MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	im
2.0ms	(sin.f64 im)
2.0ms	re
2.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
33.8%	2	`re`
33.7%	2	`im`
33.5%	2	`(sin.f64 im)`
33.8%	2	`(exp.f64 re)`
33.8%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes7.0ms (0%)

Memory

23.1MiB live, 23.2MiB 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 (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
6.7%	1	`(sin.f64 im)`
6.7%	1	`im`
6.7%	1	`re`
6.7%	1	`(exp.f64 re)`
6.7%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch41.0ms (0.2%)

Memory

-29.1MiB live, 90.8MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	4.0480195468749144e+85	1.4909340562944265e+95
12.0ms	3.97805419686057e-6	0.0002828120651731609
12.0ms	-0.00223873252938732	-9.469296995510721e-5

Samples

23.0ms

368×

valid

Compiler

Compiled 697 to 442 computations (36.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-sin: 8.0ms (55.6% of total)

ival-exp: 4.0ms (27.8% of total)

ival-mult: 2.0ms (13.9% of total)

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

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

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9985299726790003	+inf
0.0ms	6.052901783010339e-79	1.7042776589419778e-74
0.0ms	-0.17459348823551785	0.0
0.0ms	-inf	-0.9992873414684612

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9985299726790003	+inf
0.0ms	6.052901783010339e-79	1.7042776589419778e-74
0.0ms	-0.17459348823551785	0.0
0.0ms	-inf	-0.9992873414684612

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9985299726790003	+inf
0.0ms	1.7042776589419778e-74	2.8838863138162145e-73
0.0ms	-0.17459348823551785	0.0
0.0ms	-inf	-0.9992873414684612

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9985299726790003	+inf
0.0ms	-inf	-0.9992873414684612

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.1133173701599685e-307
0.0ms	-0.17459348823551785	0.0

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.069987275394124e-6	0.007800004598491361

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.1530900482931263e-109	5.412302188888343e-105

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.1133173701599685e-307

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.069987275394124e-6	0.007800004598491361

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.069987275394124e-6	0.007800004598491361

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.1133173701599685e-307

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.069987275394124e-6	0.007800004598491361

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.2542728241755394	0.28705886184569557

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9968038052209685	0.9985299726790003

Compiler

Compiled 10 to 10 computations (0% saved)

simplify19.0ms (0.1%)

Memory

1.4MiB live, 40.8MiB allocated

Algorithm

1×	egg-herbie

Rules

60×	`*-commutative_binary64`
12×	`+-commutative_binary64`
10×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	1025
1	184	1025
2	195	1025
3	204	1025
4	210	1025
5	213	1025
6	214	1025

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 re #s(literal -5072854620270127/2305843009213693952 binary64)) #s(approx (* (exp re) (sin im)) (.f64 im (exp.f64 re))) (if (<=.f64 re #s(literal 2582544170319337/9223372036854775808 binary64)) (.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 re #s(literal 145000000000000006637084329031730566897805487144094923769617153450658629987376513110231333470208 binary64)) (.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im))) (.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx ( (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 8343699359066055/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #s(approx ( (exp re) (sin im)) (.f64 im (exp.f64 re))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #s(approx ( (exp re) (sin im)) (*.f64 im (exp.f64 re)))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx ( (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 8343699359066055/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #s(approx ( (exp re) (sin im)) (.f64 im (exp.f64 re))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) #s(approx ( (exp re) (sin im)) (*.f64 im (exp.f64 re)))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx ( (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 5092589940836215/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) #s(approx ( (exp re) (sin im)) (.f64 im (exp.f64 re))) (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 im (exp.f64 re)))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx ( (exp re) (sin im)) (sin.f64 im)) (.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (fma.f64 (.f64 re im) (.f64 im (.f64 re (.f64 re im))) (.f64 im (.f64 im im))) (fma.f64 im im (-.f64 (.f64 im (.f64 re (.f64 re im))) (.f64 re (.f64 im im))))))) #s(approx ( (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4722366482869645/1180591620717411303424 binary64)) (.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im))) #s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 5288447750321989/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096 binary64)) (.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (.f64 im (.f64 im im)) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (.f64 im (.f64 im im)) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4722366482869645/1180591620717411303424 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (.f64 im (.f64 im im)) im))) #s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4722366482869645/1180591620717411303424 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (.f64 im (.f64 im im)) im))) #s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re))))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (.f64 im (.f64 im im)) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4722366482869645/1180591620717411303424 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (.f64 im (.f64 im im)) im))) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 re re)))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1170935903116329/4503599627370496 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4494592428115755/4503599627370496 binary64)) #s(approx ( (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(literal 1 binary64)))) #s(approx ( (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))

Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 re #s(literal -5072854620270127/2305843009213693952 binary64)) #s(approx (* (exp re) (sin im)) (.f64 im (exp.f64 re))) (if (<=.f64 re #s(literal 2582544170319337/9223372036854775808 binary64)) (.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 re #s(literal 145000000000000006637084329031730566897805487144094923769617153450658629987376513110231333470208 binary64)) (.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im))) (.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)))))
(if (<=.f64 re #s(literal -5072854620270127/2305843009213693952 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 re #s(literal 2582544170319337/9223372036854775808 binary64)) (.f64 (sin.f64 im) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (if (<=.f64 re #s(literal 145000000000000006637084329031730566897805487144094923769617153450658629987376513110231333470208 binary64)) (.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im))) (.f64 (sin.f64 im) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx ( (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 8343699359066055/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #s(approx ( (exp re) (sin im)) (.f64 im (exp.f64 re))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #s(approx ( (exp re) (sin im)) (*.f64 im (exp.f64 re)))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx ( (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 8343699359066055/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 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 (sin.f64 im) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) #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)) (.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx ( (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 8343699359066055/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #s(approx ( (exp re) (sin im)) (.f64 im (exp.f64 re))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) #s(approx ( (exp re) (sin im)) (*.f64 im (exp.f64 re)))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx ( (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 8343699359066055/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 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 (sin.f64 im) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) #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)) (.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx ( (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 5092589940836215/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) #s(approx ( (exp re) (sin im)) (.f64 im (exp.f64 re))) (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 im (exp.f64 re)))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx ( (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 5092589940836215/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 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 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx ( (exp re) (sin im)) (sin.f64 im)) (.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #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)) (.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im (.f64 im im)) im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (fma.f64 (.f64 re im) (.f64 im (.f64 re (.f64 re im))) (.f64 im (.f64 im im))) (fma.f64 im im (-.f64 (.f64 im (.f64 re (.f64 re im))) (.f64 re (.f64 im im))))))) #s(approx ( (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (fma.f64 (.f64 re im) (.f64 im (.f64 re (.f64 re im))) (.f64 im (.f64 im im))) (fma.f64 im im (-.f64 (.f64 im (.f64 re (.f64 re im))) (.f64 re (.f64 im im))))))) #s(approx ( (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4722366482869645/1180591620717411303424 binary64)) (.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im))) #s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4722366482869645/1180591620717411303424 binary64)) (.f64 #s(approx (sin im) (fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 5288447750321989/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096 binary64)) (.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (.f64 im (.f64 im im)) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (.f64 im (.f64 im im)) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4722366482869645/1180591620717411303424 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (.f64 im (.f64 im im)) im))) #s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4722366482869645/1180591620717411303424 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (.f64 im (.f64 im im)) im))) #s(approx (* (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re))))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (.f64 im (.f64 im im)) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4722366482869645/1180591620717411303424 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (.f64 im (.f64 im im)) im))) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 re re)))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1170935903116329/4503599627370496 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4494592428115755/4503599627370496 binary64)) #s(approx ( (exp re) (sin im)) (.f64 im #s(approx (exp re) #s(literal 1 binary64)))) #s(approx ( (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))

soundness1.7s (10.4%)

Memory

-7.2MiB live, 1 365.4MiB allocated

Rules

17 002×	`lower-fma.f64`
17 002×	`lower-fma.f32`
15 566×	`lower-fma.f64`
15 566×	`lower-fma.f32`
12 376×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	297
1	221	286
2	586	274
3	1574	268
4	2436	268
5	3110	268
6	3581	268
7	3732	268
8	4021	268
9	5977	268
0	8264	246
0	205	2341
1	643	2276
2	1666	2222
3	4712	2186
0	8060	1982
0	51	335
0	81	307
1	322	279
2	2430	279
0	8831	274
0	143	2147
1	460	2082
2	1315	2026
3	4009	1988
0	8226	1814
0	106	1649
1	328	1560
2	858	1528
3	2728	1498
4	5685	1498
5	7317	1498
0	8135	1378

Stop Event

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

Compiler

Compiled 1 209 to 447 computations (63% saved)

preprocess105.0ms (0.6%)

Memory: 22.1MiB live, 255.9MiB allocated
Remove: (negabs im)
Compiler: Compiled 1 442 to 240 computations (83.4% 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	281	27
5	428	27
6	451	27
7	465	27
8	472	27
9	472	27
0	5	5
0	8	5
1	9	5
0	9	5

Iter	Nodes	Cost
0	25	138
0	42	138
1	67	138
2	94	135
3	123	135
4	134	135
5	137	135
6	164	135
7	164	135
8	176	135
9	176	135
10	188	135
11	188	135
0	188	132

Iter	Nodes	Cost
0	35	290
0	59	282
1	109	282
2	202	282
3	425	282
4	711	282
5	782	282
6	792	282
7	792	282
0	792	282

Iter	Nodes	Cost
0	15	31
1	38	29
2	77	27
3	148	27
4	281	27
5	428	27
6	451	27
7	465	27
8	472	27
9	472	27
0	5	5
0	8	5
1	9	5
0	9	5

Iter	Nodes	Cost
0	25	138
0	42	138
1	67	138
2	94	135
3	123	135
4	134	135
5	137	135
6	164	135
7	164	135
8	176	135
9	176	135
10	188	135
11	188	135
0	188	132

Iter	Nodes	Cost
0	35	290
0	59	282
1	109	282
2	202	282
3	425	282
4	711	282
5	782	282
6	792	282
7	792	282
0	792	282

analyze0.0ms (0%)

sample1.1s (6.4%)

preprocess24.0ms (0.1%)

explain84.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize23.0ms (0.1%)

series3.0ms (0%)

simplify390.0ms (2.3%)

rewrite36.0ms (0.2%)

eval73.0ms (0.4%)

prune7.0ms (0%)

simplify15.0ms (0.1%)

localize195.0ms (1.2%)

series9.0ms (0.1%)

simplify429.0ms (2.5%)

rewrite421.0ms (2.5%)

eval82.0ms (0.5%)

prune151.0ms (0.9%)

simplify39.0ms (0.2%)

localize164.0ms (1%)

series11.0ms (0.1%)

simplify376.0ms (2.2%)

rewrite325.0ms (1.9%)

eval104.0ms (0.6%)

prune115.0ms (0.7%)

simplify249.0ms (1.5%)

localize222.0ms (1.3%)

series3.6s (21.4%)

simplify4.3s (25.4%)

rewrite538.0ms (3.2%)

eval402.0ms (2.4%)

prune363.0ms (2.2%)

regimes267.0ms (1.6%)

regimes205.0ms (1.2%)

regimes102.0ms (0.6%)

regimes20.0ms (0.1%)

regimes43.0ms (0.3%)

regimes244.0ms (1.4%)

regimes84.0ms (0.5%)

regimes18.0ms (0.1%)

regimes19.0ms (0.1%)

regimes17.0ms (0.1%)

regimes15.0ms (0.1%)

regimes6.0ms (0%)

regimes13.0ms (0.1%)

regimes8.0ms (0%)

regimes16.0ms (0.1%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

regimes7.0ms (0%)

bsearch41.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify19.0ms (0.1%)

soundness1.7s (10.4%)

preprocess105.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	31
1	38	29
2	77	27
3	148	27
4	281	27
5	428	27
6	451	27
7	465	27
8	472	27
9	472	27
0	5	5
0	8	5
1	9	5
0	9	5

Iter	Nodes	Cost
0	25	138
0	42	138
1	67	138
2	94	135
3	123	135
4	134	135
5	137	135
6	164	135
7	164	135
8	176	135
9	176	135
10	188	135
11	188	135
0	188	132

Iter	Nodes	Cost
0	35	290
0	59	282
1	109	282
2	202	282
3	425	282
4	711	282
5	782	282
6	792	282
7	792	282
0	792	282