Metrics for math.exp on complex, imaginary part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample1.2s (10%)

Memory

-87.0MiB live, 1 333.2MiB allocated

Samples

701.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 365.0ms

ival-sin: 211.0ms (57.9% of total)

ival-exp: 89.0ms (24.4% of total)

ival-mult: 54.0ms (14.8% of total)

ival-true: 7.0ms (1.9% of total)

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

Bogosity

explain91.0ms (0.7%)

Memory

-20.0MiB live, 139.2MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

37.0ms

512×

valid

Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-sin: 14.0ms (57.7% of total)

ival-mult: 6.0ms (24.7% of total)

ival-exp: 4.0ms (16.5% of total)

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

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

preprocess25.0ms (0.2%)

Memory

-12.9MiB live, 34.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	31
1	38	29
2	77	27
3	148	27
4	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))
(*.f64 (sin.f64 im) (exp.f64 re))

Symmetry

(negabs im)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

simplify3.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize22.0ms (0.2%)

Memory

1.9MiB live, 39.8MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

17.0ms

256×

valid

Compiler

Compiled 24 to 12 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-sin: 6.0ms (57.5% of total)

ival-exp: 2.0ms (19.2% of total)

ival-mult: 2.0ms (19.2% of total)

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

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

series3.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

3 → 18

Calls

Call 1

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

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

Calls

6 calls:

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

simplify171.0ms (1.4%)

Memory

19.9MiB live, 214.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	192
1	221	181
2	584	169
3	1576	163
4	2434	163
5	3117	163
6	3586	163
7	3734	163
8	4023	163
9	5952	163
0	8239	141

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 17

Calls

Call 1

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

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

rewrite15.0ms (0.1%)

Memory

-11.0MiB live, 27.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Counts

3 → 4

Calls

Call 1

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

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

eval2.0ms (0%)

Memory: 3.7MiB live, 3.7MiB allocated
Compiler: Compiled 262 to 64 computations (75.6% saved)

prune4.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

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

Accuracy

100.0%

Counts

22 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
▶	64.0%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
▶	61.0%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
▶	49.8%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
	60.2%	#s(approx (* (exp re) (sin im)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
▶	75.4%	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
▶	49.7%	#s(approx (* (exp re) (sin im)) (sin.f64 im))

Compiler

Compiled 171 to 129 computations (24.6% saved)

simplify21.0ms (0.2%)

Memory

-33.8MiB live, 14.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	149
0	43	149
1	61	149
2	81	149
3	148	149
4	256	149
5	310	149
6	327	149
0	327	149

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize84.0ms (0.7%)

Memory

37.4MiB live, 75.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
accuracy	0.07421875	(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
accuracy	0.1875	(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy	23.028134471649423	#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy	0	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
accuracy	0.00390625	(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
accuracy	0.00390625	(sin.f64 im)
accuracy	24.95124835303157	#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy	0	(+.f64 #s(literal 1 binary64) re)
accuracy	0	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
accuracy	0.00390625	(sin.f64 im)
accuracy	32.02259201559789	#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
accuracy	0.00390625	(sin.f64 im)
accuracy	32.20615216645227	#s(approx (* (exp re) (sin im)) (sin.f64 im))
accuracy	0	(exp.f64 re)
accuracy	0.00390625	(*.f64 (exp.f64 re) im)
accuracy	15.761834865848284	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))

Samples

68.0ms

256×

valid

Compiler

Compiled 255 to 47 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 34.0ms (64.1% of total)

ival-add: 7.0ms (13.2% of total)

ival-sin: 6.0ms (11.3% of total)

const: 4.0ms (7.5% of total)

ival-exp: 2.0ms (3.8% of total)

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

exact: 0.0ms (0% of total)

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

series41.0ms (0.3%)

Memory

-27.8MiB live, 11.0MiB allocated

Counts

17 → 43

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
35.0ms	re	@	inf	((* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2))
2.0ms	re	@	-inf	((* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2))
1.0ms	re	@	0	((* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2))
1.0ms	im	@	-inf	((* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2))
1.0ms	im	@	0	((* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2))

simplify214.0ms (1.7%)

Memory

26.3MiB live, 183.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	381
1	406	366
2	1114	344
3	3928	338
4	7424	338
0	8136	287

Stop Event

1×	iter limit
1×	node limit

Counts

43 → 41

Calls

Call 1

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

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

rewrite4.1s (33.3%)

Memory

-4.5MiB live, 278.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	128
0	43	128
1	128	128
2	826	128
0	8356	128

Stop Event

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

Counts

17 → 426

Calls

Call 1

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

Outputs
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
(*.f64 im (exp.f64 re))
(*.f64 (exp.f64 re) im)
(pow.f64 (exp.f64 #s(literal 1 binary64)) re)
(pow.f64 (exp.f64 re) #s(literal 1 binary64))
(exp.f64 re)
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(sin.f64 im)
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
(*.f64 (sin.f64 im) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(*.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 re #s(literal 1 binary64))))
(.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 re re))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) re))))
(*.f64 (neg.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 re (-.f64 re #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (pow.f64 (-.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re re (-.f64 #s(literal 1 binary64) re))))
(*.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 re (-.f64 re #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) re) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 re re)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) re) #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64))) (.f64 re re)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 (fma.f64 re (-.f64 re #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))) (pow.f64 (fma.f64 re (-.f64 re #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 re #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) re))
(/.f64 (*.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 re (-.f64 re #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) re) #s(literal -1 binary64))) (.f64 (/.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re)) (/.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) (/.f64 (*.f64 re re) (-.f64 #s(literal 1 binary64) re))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) (fma.f64 (/.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re)) (/.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re)) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) (/.f64 (*.f64 re re) (-.f64 #s(literal 1 binary64) re))))))
(/.f64 (neg.f64 (fma.f64 re re #s(literal -1 binary64))) (neg.f64 (-.f64 re #s(literal 1 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (.f64 #s(literal 1/36 binary64) re) re (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) re)))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) re) re (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) re))))))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re))) (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))

eval66.0ms (0.5%)

Memory: -6.5MiB live, 111.6MiB allocated
Compiler: Compiled 13 130 to 2 192 computations (83.3% saved)

prune17.0ms (0.1%)

Memory

2.5MiB live, 41.2MiB allocated

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	460	10	470
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	460	17	477

Accuracy

100.0%

Counts

477 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
✓	64.0%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
✓	61.0%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
▶	63.5%	(.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im))
	61.0%	(.f64 #s(approx (exp re) (+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))) (sin.f64 im))
✓	49.8%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
	31.9%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
	60.2%	#s(approx (* (exp re) (sin im)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
✓	75.4%	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
	41.0%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
	39.6%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
▶	29.3%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
✓	49.7%	#s(approx (* (exp re) (sin im)) (sin.f64 im))
▶	35.9%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im)))
▶	40.3%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
	31.4%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
▶	31.3%	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))

Compiler

Compiled 471 to 334 computations (29.1% saved)

simplify30.0ms (0.2%)

Memory

2.2MiB live, 41.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	276
0	62	276
1	100	276
2	151	276
3	337	276
4	722	276
5	1252	276
6	1427	276
7	1434	276
8	1434	276
0	1434	276

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize104.0ms (0.9%)

Memory

-14.5MiB live, 185.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 im #s(literal 3 binary64))
accuracy	0.0703125	(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
accuracy	29.494847871690464	#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
accuracy	32.20615216645227	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
accuracy	0.1875	(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy	5.022521218638698	(*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))
accuracy	15.761834865848284	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
accuracy	23.02989162099465	#s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))
accuracy	0.0234375	(fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im)
accuracy	0.06640625	(fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im)
accuracy	15.761834865848284	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im)))
accuracy	25.84370697591264	#s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im))
accuracy	0.00390625	(*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)
accuracy	15.761834865848284	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
accuracy	32.368214578325606	#s(approx (exp re) #s(literal 1 binary64))
accuracy	0.05859375	(fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))
accuracy	0.19921875	(.f64 (.f64 re re) #s(literal 1/6 binary64))
accuracy	23.028134471649423	#s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)))
accuracy	31.37379046995697	#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64)))

Samples

65.0ms

256×

valid

Compiler

Compiled 449 to 75 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 21.0ms (44.7% of total)

ival-add: 8.0ms (17% of total)

const: 7.0ms (14.9% of total)

ival-sin: 6.0ms (12.8% of total)

ival-pow: 3.0ms (6.4% of total)

ival-exp: 2.0ms (4.3% of total)

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

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

exact: 0.0ms (0% of total)

series46.0ms (0.4%)

Memory

-18.5MiB live, 31.5MiB allocated

Counts

21 → 67

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	im	@	-inf	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im re) 1/2) im) re) im) (+ (* (* im re) 1/2) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (* (exp re) (sin im)) (sin im) (+ (* (pow im 3) -1/6) im) (pow im 3) (* (* re re) 1/6) (+ (* 1/6 re) 1/2))
3.0ms	im	@	inf	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im re) 1/2) im) re) im) (+ (* (* im re) 1/2) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (* (exp re) (sin im)) (sin im) (+ (* (pow im 3) -1/6) im) (pow im 3) (* (* re re) 1/6) (+ (* 1/6 re) 1/2))
3.0ms	im	@	0	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im re) 1/2) im) re) im) (+ (* (* im re) 1/2) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (* (exp re) (sin im)) (sin im) (+ (* (pow im 3) -1/6) im) (pow im 3) (* (* re re) 1/6) (+ (* 1/6 re) 1/2))
2.0ms	re	@	inf	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im re) 1/2) im) re) im) (+ (* (* im re) 1/2) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (* (exp re) (sin im)) (sin im) (+ (* (pow im 3) -1/6) im) (pow im 3) (* (* re re) 1/6) (+ (* 1/6 re) 1/2))
2.0ms	re	@	0	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im re) 1/2) im) re) im) (+ (* (* im re) 1/2) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (* (exp re) (sin im)) (sin im) (+ (* (pow im 3) -1/6) im) (pow im 3) (* (* re re) 1/6) (+ (* 1/6 re) 1/2))

simplify246.0ms (2%)

Memory

36.6MiB live, 147.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	710
1	660	672
2	2127	632
3	4990	626
0	8789	543

Stop Event

1×	iter limit
1×	node limit

Counts

67 → 66

Calls

Call 1

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

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

rewrite471.0ms (3.9%)

Memory

1.5MiB live, 205.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	244
0	62	244
1	185	244
2	1116	244
0	8223	244

Stop Event

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

Counts

21 → 355

Calls

Call 1

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

Outputs
(.f64 (sin.f64 im) #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 re) #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re)) (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64))))))
(.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64)) (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re)))))
(.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re)) (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal -1 binary64)))) (.f64 (pow.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (neg.f64 re) #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re)) (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64)))) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re)) (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re)) (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal -1 binary64))) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal -1 binary64)) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 re) #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64)) (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re)) (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal -1 binary64)))
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eval63.0ms (0.5%)

Memory: -5.4MiB live, 68.2MiB allocated
Compiler: Compiled 15 740 to 2 081 computations (86.8% saved)

prune77.0ms (0.6%)

Memory

3.4MiB live, 41.8MiB allocated

Pruning

29 alts after pruning (19 fresh and 10 done)

	Pruned	Kept	Total
New	390	14	404
Fresh	1	5	6
Picked	1	4	5
Done	0	6	6
Total	392	29	421

Accuracy

100.0%

Counts

421 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
✓	64.0%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
✓	61.0%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
✓	63.5%	(.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im))
	61.0%	(.f64 #s(approx (exp re) (+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))) (sin.f64 im))
✓	49.8%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
	31.9%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
▶	63.0%	#s(approx (* (exp re) (sin im)) (.f64 (.f64 (exp.f64 re) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) im))
✓	75.4%	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
	41.0%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
	39.6%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
✓	29.3%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
✓	49.7%	#s(approx (* (exp re) (sin im)) (sin.f64 im))
	39.9%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 im re) im) re im)))
✓	35.9%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im)))
▶	35.9%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) re) im im) re im)))
▶	40.3%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))) re im)))
✓	40.3%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
	40.3%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (.f64 im (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im)))
	31.0%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (.f64 im (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im)))
	40.3%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (.f64 im (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re))) re #s(literal 1 binary64))) re im)))
	40.1%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im)))
▶	31.4%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
	35.9%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im)))))
	14.5%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im))))
	10.8%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (.f64 (.f64 (*.f64 im #s(literal 1/2 binary64)) re) re))))
▶	15.1%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
	14.7%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))))
	31.3%	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im)))

Compiler

Compiled 1 124 to 745 computations (33.7% saved)

simplify94.0ms (0.8%)

Memory

-3.3MiB live, 37.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	385
0	70	383
1	125	374
2	225	374
3	631	372
4	1613	372
5	2752	372
6	3721	372
7	4245	372
8	4404	372
9	4422	372
10	4422	372
11	4422	372
12	4603	372
13	4665	372
0	4665	370

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
#s(approx (* (exp re) (sin im)) (.f64 (.f64 (exp.f64 re) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 (fma.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) (exp.f64 re)))
(.f64 (.f64 (exp.f64 re) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) im)
(*.f64 (fma.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) (exp.f64 re))
(.f64 (exp.f64 re) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re))
(exp.f64 re)
re
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))
(fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 im im)
im
#s(literal -1/6 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) im) (fma.f64 im re im))
(fma.f64 im re im)
im
re
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) re) im im) re im)))
#s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) re) im im) re im))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) re) im im) re im)
(fma.f64 (*.f64 #s(literal 1/2 binary64) re) im im)
(*.f64 #s(literal 1/2 binary64) re)
#s(literal 1/2 binary64)
re
im
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im))))
#s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)))
#s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im)))
#s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))
#s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
re
#s(literal 1/2 binary64)
#s(literal 1 binary64)
im
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)))
#s(approx (* (exp re) im) (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))) re im))
#s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im))
(fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))) re im)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)
(/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im)
im
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
re
#s(literal 1/2 binary64)

localize214.0ms (1.8%)

Memory

-4.6MiB live, 105.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.5728035875599888	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))
accuracy	4.404930324509755	(/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))))
accuracy	15.761834865848284	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))) re im)))
accuracy	23.02989162099465	#s(approx (* (exp re) im) (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))) re im))
accuracy	5.022521218638698	(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im)
accuracy	15.761834865848284	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
accuracy	23.02989162099465	#s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)))
accuracy	30.30631465268969	#s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))
accuracy	0	(*.f64 #s(literal 1/2 binary64) re)
accuracy	0.06640625	(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) re) im im) re im)
accuracy	15.761834865848284	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) re) im im) re im)))
accuracy	25.84370697591264	#s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) re) im im) re im))
accuracy	0	(fma.f64 im re im)
accuracy	15.761834865848284	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
accuracy	29.50066281451063	#s(approx (* (exp re) im) (fma.f64 im re im))
accuracy	0.05078125	(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))
accuracy	0.06640625	(fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))
accuracy	7.628863593095236	(.f64 (exp.f64 re) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))
accuracy	15.922830806954666	#s(approx (* (exp re) (sin im)) (.f64 (.f64 (exp.f64 re) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) im))

Samples

148.0ms

256×

valid

Compiler

Compiled 647 to 88 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-mult: 59.0ms (45.5% of total)

ival-sin: 44.0ms (33.9% of total)

ival-add: 12.0ms (9.2% of total)

const: 9.0ms (6.9% of total)

ival-div: 3.0ms (2.3% of total)

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

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.1%)

Memory

20.3MiB live, 20.3MiB allocated

Counts

23 → 81

Calls

Call 1

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

Outputs
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))
(+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))) (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(+ 1 (+ (* re (+ 1 (+ (* 1/2 (* re (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))) (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))) (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(+ 1 (+ (* re (+ 1 (+ (* re (+ (* 1/6 (* re (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))) (* 1/2 (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))))) (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))) (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(+ im (* 1/2 (* im re)))
(* im re)
(* re (+ im (* 1/2 (* im re))))
(* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))
(+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))
(* 1/2 re)
(+ 1 (* -1/2 re))
(+ 1 (* re (- (* 1/12 re) 1/2)))
(+ 1 (* re (- (* re (+ 1/12 (* 1/24 re))) 1/2)))
(* (exp re) (sin im))
(* (exp re) (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(exp re)
(* im (exp re))
(* re (+ im (/ 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)))))
(* 1/2 (* im re))
(* re (+ (* 1/2 im) (/ im re)))
(* 1/6 (* im (pow re 3)))
(* (pow re 3) (+ (* 1/6 im) (* 1/2 (/ im re))))
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (+ (/ im (pow re 2)) (/ im (pow re 3))))))
(* 1/6 (* im (pow re 2)))
(* (pow re 2) (+ (* 1/6 im) (* 1/2 (/ im re))))
(* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(/ 6 (pow re 2))
(/ (- 6 (* 18 (/ 1 re))) (pow re 2))
(/ (- (+ 6 (/ 18 (pow re 2))) (* 18 (/ 1 re))) (pow re 2))
(/ (- (+ 6 (+ (* 54 (/ 1 (pow re 3))) (/ 18 (pow re 2)))) (* 18 (/ 1 re))) (pow re 2))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)))
(* -1 (* re (+ (* -1 (/ im re)) (* -1/2 im))))
(* -1 (* (pow re 3) (+ (* -1/2 (/ im re)) (* -1/6 im))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 im) (/ im re)) re)) (* -1/6 im))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)) re)) (* -1/6 im))))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re)) (* 1/6 im)))
(/ (+ 6 (* -1 (/ (- 18 (* 18 (/ 1 re))) re))) (pow re 2))
(/ (+ 6 (* -1 (/ (+ 18 (* -1 (/ (+ 18 (* 54 (/ 1 re))) re))) re))) (pow re 2))
(* 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) (* -1/6 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))
(+ 1 (* -1/6 (pow im 2)))
(* im (+ 1 re))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* 1/2 re)))
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* im (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))
-1/6
(- (* 1/120 (pow im 2)) 1/6)
(* 1/120 (* (pow im 4) (exp re)))
(* (pow im 4) (+ (* -1/6 (/ (exp re) (pow im 2))) (* 1/120 (exp re))))
(* (pow im 4) (+ (* -1/6 (/ (exp re) (pow im 2))) (+ (* 1/120 (exp re)) (/ (exp re) (pow im 4)))))
(* 1/120 (pow im 4))
(* (pow im 4) (- 1/120 (* 1/6 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/120 (/ 1 (pow im 4))) (* 1/6 (/ 1 (pow im 2)))))
(* 1/120 (pow im 2))
(* (pow im 2) (- 1/120 (* 1/6 (/ 1 (pow im 2)))))
(* -1 (* im (- (* -1 re) 1)))
(* -1 (* im (- (* re (- (* -1/2 re) 1)) 1)))
(* -1 (* im (- (* -1/2 re) 1)))
(* -1 (* im (- (* -1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	im	@	-inf	((* (exp re) (sin im)) (* (exp re) (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1)) (exp re) (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* 1/2 re) im) im) re) im) (+ (* (* 1/2 re) im) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (* (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) re) (/ im (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) (* (exp re) (sin im)) (* (exp re) im) (+ (* (/ im (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) re) im) (+ (* 1/120 (* im im)) -1/6) (* 1/2 re) (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)))
3.0ms	re	@	-inf	((* (exp re) (sin im)) (* (exp re) (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1)) (exp re) (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* 1/2 re) im) im) re) im) (+ (* (* 1/2 re) im) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (* (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) re) (/ im (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) (* (exp re) (sin im)) (* (exp re) im) (+ (* (/ im (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) re) im) (+ (* 1/120 (* im im)) -1/6) (* 1/2 re) (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)))
3.0ms	im	@	inf	((* (exp re) (sin im)) (* (exp re) (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1)) (exp re) (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* 1/2 re) im) im) re) im) (+ (* (* 1/2 re) im) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (* (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) re) (/ im (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) (* (exp re) (sin im)) (* (exp re) im) (+ (* (/ im (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) re) im) (+ (* 1/120 (* im im)) -1/6) (* 1/2 re) (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)))
3.0ms	re	@	inf	((* (exp re) (sin im)) (* (exp re) (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1)) (exp re) (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* 1/2 re) im) im) re) im) (+ (* (* 1/2 re) im) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (* (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) re) (/ im (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) (* (exp re) (sin im)) (* (exp re) im) (+ (* (/ im (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) re) im) (+ (* 1/120 (* im im)) -1/6) (* 1/2 re) (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)))
2.0ms	im	@	0	((* (exp re) (sin im)) (* (exp re) (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1)) (exp re) (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* 1/2 re) im) im) re) im) (+ (* (* 1/2 re) im) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (* (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) re) (/ im (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) (* (exp re) (sin im)) (* (exp re) im) (+ (* (/ im (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) re) im) (+ (* 1/120 (* im im)) -1/6) (* 1/2 re) (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)))

simplify306.0ms (2.5%)

Memory

-0.9MiB live, 160.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	249	996
1	792	943
2	2405	887
3	5517	870
0	8467	770

Stop Event

1×	iter limit
1×	node limit

Counts

81 → 80

Calls

Call 1

Inputs
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))
(+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))) (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(+ 1 (+ (* re (+ 1 (+ (* 1/2 (* re (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))) (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))) (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(+ 1 (+ (* re (+ 1 (+ (* re (+ (* 1/6 (* re (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))) (* 1/2 (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))))) (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))) (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(+ im (* 1/2 (* im re)))
(* im re)
(* re (+ im (* 1/2 (* im re))))
(* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))
(+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))
(* 1/2 re)
(+ 1 (* -1/2 re))
(+ 1 (* re (- (* 1/12 re) 1/2)))
(+ 1 (* re (- (* re (+ 1/12 (* 1/24 re))) 1/2)))
(* (exp re) (sin im))
(* (exp re) (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(exp re)
(* im (exp re))
(* re (+ im (/ 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)))))
(* 1/2 (* im re))
(* re (+ (* 1/2 im) (/ im re)))
(* 1/6 (* im (pow re 3)))
(* (pow re 3) (+ (* 1/6 im) (* 1/2 (/ im re))))
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (+ (/ im (pow re 2)) (/ im (pow re 3))))))
(* 1/6 (* im (pow re 2)))
(* (pow re 2) (+ (* 1/6 im) (* 1/2 (/ im re))))
(* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(/ 6 (pow re 2))
(/ (- 6 (* 18 (/ 1 re))) (pow re 2))
(/ (- (+ 6 (/ 18 (pow re 2))) (* 18 (/ 1 re))) (pow re 2))
(/ (- (+ 6 (+ (* 54 (/ 1 (pow re 3))) (/ 18 (pow re 2)))) (* 18 (/ 1 re))) (pow re 2))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)))
(* -1 (* re (+ (* -1 (/ im re)) (* -1/2 im))))
(* -1 (* (pow re 3) (+ (* -1/2 (/ im re)) (* -1/6 im))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 im) (/ im re)) re)) (* -1/6 im))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)) re)) (* -1/6 im))))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re)) (* 1/6 im)))
(/ (+ 6 (* -1 (/ (- 18 (* 18 (/ 1 re))) re))) (pow re 2))
(/ (+ 6 (* -1 (/ (+ 18 (* -1 (/ (+ 18 (* 54 (/ 1 re))) re))) re))) (pow re 2))
(* 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) (* -1/6 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))
(+ 1 (* -1/6 (pow im 2)))
(* im (+ 1 re))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* 1/2 re)))
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* im (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))
-1/6
(- (* 1/120 (pow im 2)) 1/6)
(* 1/120 (* (pow im 4) (exp re)))
(* (pow im 4) (+ (* -1/6 (/ (exp re) (pow im 2))) (* 1/120 (exp re))))
(* (pow im 4) (+ (* -1/6 (/ (exp re) (pow im 2))) (+ (* 1/120 (exp re)) (/ (exp re) (pow im 4)))))
(* 1/120 (pow im 4))
(* (pow im 4) (- 1/120 (* 1/6 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/120 (/ 1 (pow im 4))) (* 1/6 (/ 1 (pow im 2)))))
(* 1/120 (pow im 2))
(* (pow im 2) (- 1/120 (* 1/6 (/ 1 (pow im 2)))))
(* -1 (* im (- (* -1 re) 1)))
(* -1 (* im (- (* re (- (* -1/2 re) 1)) 1)))
(* -1 (* im (- (* -1/2 re) 1)))
(* -1 (* im (- (* -1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1)))

Outputs
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(fma.f64 (sin.f64 im) re (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im))
(+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))
(+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))) (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(.f64 (-.f64 re #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(+ 1 (+ (* re (+ 1 (+ (* 1/2 (* re (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))) (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))) (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) re (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(+ 1 (+ (* re (+ 1 (+ (* re (+ (* 1/6 (* re (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))) (* 1/2 (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))))) (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))) (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 re)
(-.f64 re #s(literal -1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
im
(+ im (* im re))
(fma.f64 im re im)
(+ im (* re (+ im (* 1/2 (* im re)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)
(+ im (* 1/2 (* im re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im)
(* im re)
(*.f64 im re)
(* re (+ im (* 1/2 (* im re))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)
(* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im)
(+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im)
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(+ 1 (* -1/2 re))
(fma.f64 #s(literal -1/2 binary64) re #s(literal 1 binary64))
(+ 1 (* re (- (* 1/12 re) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/12 binary64) re #s(literal -1/2 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (- (* re (+ 1/12 (* 1/24 re))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/12 binary64)) re #s(literal -1/2 binary64)) re #s(literal 1 binary64))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re))
(exp re)
(exp.f64 re)
(* im (exp re))
(*.f64 im (exp.f64 re))
(* re (+ im (/ im re)))
(fma.f64 im re im)
(* 1/2 (* im (pow re 2)))
(.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64))
(* (pow re 2) (+ (* 1/2 im) (/ im re)))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)
(* (pow re 2) (+ (* 1/2 im) (+ (/ im re) (/ im (pow re 2)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)
(* 1/2 (* im re))
(.f64 (.f64 im re) #s(literal 1/2 binary64))
(* re (+ (* 1/2 im) (/ im re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im)
(* 1/6 (* im (pow re 3)))
(.f64 (.f64 (pow.f64 re #s(literal 3 binary64)) im) #s(literal 1/6 binary64))
(* (pow re 3) (+ (* 1/6 im) (* 1/2 (/ im re))))
(.f64 (.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im)
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (+ (/ im (pow re 2)) (/ im (pow re 3))))))
(.f64 re (fma.f64 (fma.f64 im (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) (/.f64 im (pow.f64 re #s(literal 3 binary64)))) (.f64 re re) im))
(* 1/6 (* im (pow re 2)))
(.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))
(* (pow re 2) (+ (* 1/6 im) (* 1/2 (/ im re))))
(.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re)
(* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im)
(/ 6 (pow re 2))
(/.f64 #s(literal 6 binary64) (*.f64 re re))
(/ (- 6 (* 18 (/ 1 re))) (pow re 2))
(/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re)
(/ (- (+ 6 (/ 18 (pow re 2))) (* 18 (/ 1 re))) (pow re 2))
(/.f64 (-.f64 #s(literal 6 binary64) (/.f64 (-.f64 #s(literal 18 binary64) (/.f64 #s(literal 18 binary64) re)) re)) (*.f64 re re))
(/ (- (+ 6 (+ (* 54 (/ 1 (pow re 3))) (/ 18 (pow re 2)))) (* 18 (/ 1 re))) (pow re 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 54 binary64) (pow.f64 re #s(literal 3 binary64))) #s(literal 6 binary64)) (/.f64 (-.f64 #s(literal 18 binary64) (/.f64 #s(literal 18 binary64) re)) re)) (*.f64 re re))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(fma.f64 im re im)
(* (pow re 2) (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)
(* -1 (* re (+ (* -1 (/ im re)) (* -1/2 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im)
(* -1 (* (pow re 3) (+ (* -1/2 (/ im re)) (* -1/6 im))))
(.f64 (.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 im) (/ im re)) re)) (* -1/6 im))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)) (pow.f64 re #s(literal 3 binary64)))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)) re)) (* -1/6 im))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 (+.f64 (/.f64 im re) im) re)) re)) (pow.f64 re #s(literal 3 binary64)))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re)) (* 1/6 im)))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)) re) re)
(/ (+ 6 (* -1 (/ (- 18 (* 18 (/ 1 re))) re))) (pow re 2))
(/.f64 (-.f64 #s(literal 6 binary64) (/.f64 (-.f64 #s(literal 18 binary64) (/.f64 #s(literal 18 binary64) re)) re)) (*.f64 re re))
(/ (+ 6 (* -1 (/ (+ 18 (* -1 (/ (+ 18 (* 54 (/ 1 re))) re))) re))) (pow re 2))
(/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 (-.f64 #s(literal 18 binary64) (/.f64 (+.f64 (/.f64 #s(literal 54 binary64) re) #s(literal 18 binary64)) re)) re)) re) re)
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) (*.f64 im (exp.f64 re)))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im)
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (exp.f64 re) (fma.f64 (.f64 im im) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (.f64 im (exp.f64 re)))
(+ (exp re) (* -1/6 (* (pow im 2) (exp re))))
(.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) (exp.f64 re))
(+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re))
(+ 1 (* -1/6 (pow im 2)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64))
(* im (+ 1 re))
(fma.f64 im re im)
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)
(* im (+ 1 (* 1/2 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im)
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)
(* im (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im)
(* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im)
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow im 2)) 1/6)
(fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))
(* 1/120 (* (pow im 4) (exp re)))
(.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/120 binary64)) (exp.f64 re))
(* (pow im 4) (+ (* -1/6 (/ (exp re) (pow im 2))) (* 1/120 (exp re))))
(.f64 (.f64 (exp.f64 re) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 im im)))) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (+ (* -1/6 (/ (exp re) (pow im 2))) (+ (* 1/120 (exp re)) (/ (exp re) (pow im 4)))))
(.f64 (fma.f64 (exp.f64 re) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 im im))) (/.f64 (exp.f64 re) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 im #s(literal 4 binary64)))
(* 1/120 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/120 binary64))
(* (pow im 4) (- 1/120 (* 1/6 (/ 1 (pow im 2)))))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 im im))) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (- (+ 1/120 (/ 1 (pow im 4))) (* 1/6 (/ 1 (pow im 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 im im))) (pow.f64 im #s(literal 4 binary64))))
(* 1/120 (pow im 2))
(.f64 #s(literal 1/120 binary64) (.f64 im im))
(* (pow im 2) (- 1/120 (* 1/6 (/ 1 (pow im 2)))))
(.f64 (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 im im))) im) im)
(* -1 (* im (- (* -1 re) 1)))
(fma.f64 im re im)
(* -1 (* im (- (* re (- (* -1/2 re) 1)) 1)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)
(* -1 (* im (- (* -1/2 re) 1)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im)
(* -1 (* im (- (* -1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)

rewrite444.0ms (3.6%)

Memory

3.8MiB live, 206.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	324
0	70	322
1	244	313
2	1677	313
0	8241	313

Stop Event

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

Counts

23 → 603

Calls

Call 1

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

Outputs
#s(approx (* (exp re) (sin im)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) im) (exp.f64 re)))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) (exp.f64 re)) (pow.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) #s(literal -1 binary64)))
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(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal -1 binary64))) (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re))) (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)))
(/.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))))
(-.f64 (/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))))
(exp.f64 (.f64 (log1p.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)))

eval165.0ms (1.3%)

Memory: 5.6MiB live, 119.3MiB allocated
Compiler: Compiled 22 867 to 2 911 computations (87.3% saved)

prune124.0ms (1%)

Memory

-14.5MiB live, 65.3MiB allocated

Pruning

41 alts after pruning (29 fresh and 12 done)

	Pruned	Kept	Total
New	579	19	598
Fresh	4	10	14
Picked	2	3	5
Done	1	9	10
Total	586	41	627

Accuracy

100.0%

Counts

627 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
✓	64.0%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
✓	61.0%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
	61.0%	(.f64 #s(approx (exp re) (+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))) (sin.f64 im))
✓	49.8%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
	31.9%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
	65.7%	#s(approx (* (exp re) (sin im)) (.f64 (.f64 (exp.f64 re) (fma.f64 #s(approx (+ (* 1/120 (* im im)) -1/6) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))) im))
	41.4%	#s(approx (* (exp re) (sin im)) (.f64 (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) im))
	40.0%	#s(approx (* (exp re) (sin im)) (.f64 (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) im))
	33.9%	#s(approx (* (exp re) (sin im)) (.f64 (.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) im))
✓	75.4%	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
	32.7%	#s(approx (* (exp re) (sin im)) (.f64 #s(approx ( (exp re) (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) im))
	39.6%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
✓	29.3%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
✓	49.7%	#s(approx (* (exp re) (sin im)) (sin.f64 im))
	39.9%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 im re) im) re im)))
✓	35.9%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im)))
✓	35.9%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) re) im im) re im)))
	35.9%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 im re) im)))
✓	40.3%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))) re im)))
	29.6%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) re #s(literal -1/2 binary64)) re #s(literal 1 binary64)))) re im)))
	29.2%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1 binary64)))) re im)))
	39.7%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re im)))
	40.1%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 #s(literal 6 binary64) (*.f64 re re)))) re im)))
✓	40.3%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
	40.3%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (.f64 im (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im)))
	31.0%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (.f64 im (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im)))
	40.1%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (/ im (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im)))
✓	31.4%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
	31.3%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
	31.4%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (+.f64 (*.f64 im re) im)))
	14.5%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im))))
	10.8%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (.f64 (.f64 (*.f64 im #s(literal 1/2 binary64)) re) re))))
	10.9%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* 1/2 re) im) im) re) im) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))))
	14.4%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* 1/2 re) im) im) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
	15.1%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) (*.f64 (neg.f64 im) re))))))
	15.1%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) (.f64 im re)))))
	15.9%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im))))
	14.7%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))))
	6.4%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) #s(approx (* (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) re) (*.f64 im re)))))
	31.3%	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im)))

Compiler

Compiled 2 314 to 969 computations (58.1% saved)

regimes125.0ms (1%)

Memory

18.3MiB live, 56.2MiB allocated

Counts

50 → 1

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) #s(approx (* (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) re) (*.f64 im re)))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (+.f64 (*.f64 im re) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* 1/2 re) im) im) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (.f64 (.f64 (*.f64 im #s(literal 1/2 binary64)) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* 1/2 re) im) im) re) im) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 im re) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) re) im im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (/ im (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) (.f64 im re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1 binary64)))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 im re) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx ( (exp re) (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) re #s(literal -1/2 binary64)) re #s(literal 1 binary64)))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 #s(literal 6 binary64) (*.f64 re re)))) re im)))
#s(approx (* (exp re) (sin im)) (.f64 (.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))) re im)))
#s(approx (* (exp re) (sin im)) (.f64 (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (.f64 im (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (.f64 im (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re))) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) (.f64 (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) (*.f64 (neg.f64 im) re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (.f64 im (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(.f64 #s(approx (exp re) (+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (.f64 (.f64 (exp.f64 re) (fma.f64 #s(approx (+ (* 1/120 (* im im)) -1/6) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))) im))
(.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (.f64 (.f64 (exp.f64 re) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
(*.f64 (exp.f64 re) (sin.f64 im))

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

Calls

5 calls:

70.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
14.0ms	(sin.f64 im)
14.0ms	im
13.0ms	re
11.0ms	(exp.f64 re)

Results

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

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes123.0ms (1%)

Memory

-3.0MiB live, 86.3MiB allocated

Counts

49 → 4

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) #s(approx (* (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) re) (*.f64 im re)))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (+.f64 (*.f64 im re) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* 1/2 re) im) im) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (.f64 (.f64 (*.f64 im #s(literal 1/2 binary64)) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* 1/2 re) im) im) re) im) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 im re) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) re) im im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (/ im (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) (.f64 im re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1 binary64)))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 im re) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx ( (exp re) (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) re #s(literal -1/2 binary64)) re #s(literal 1 binary64)))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 #s(literal 6 binary64) (*.f64 re re)))) re im)))
#s(approx (* (exp re) (sin im)) (.f64 (.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))) re im)))
#s(approx (* (exp re) (sin im)) (.f64 (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (.f64 im (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (.f64 im (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re))) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) (.f64 (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) (*.f64 (neg.f64 im) re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (.f64 im (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(.f64 #s(approx (exp re) (+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (.f64 (.f64 (exp.f64 re) (fma.f64 #s(approx (+ (* 1/120 (* im im)) -1/6) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))) im))
(.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (.f64 (.f64 (exp.f64 re) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))

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

Calls

5 calls:

44.0ms	(sin.f64 im)
41.0ms	im
13.0ms	re
12.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
10.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
99.1%	4	`re`
83.2%	2	`im`
99.1%	4	`(*.f64 (exp.f64 re) (sin.f64 im))`
95.9%	3	`(exp.f64 re)`
83.7%	3	`(sin.f64 im)`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes39.0ms (0.3%)

Memory

-17.1MiB live, 56.7MiB allocated

Counts

46 → 4

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
14.0ms	re

Results

Accuracy	Segments	Branch
99.0%	4	`re`
98.9%	4	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes28.0ms (0.2%)

Memory

15.6MiB live, 52.3MiB allocated

Counts

45 → 5

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	re
11.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

Results

Accuracy	Segments	Branch
99.8%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`
97.8%	4	`re`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes65.0ms (0.5%)

Memory

-23.7MiB live, 20.7MiB allocated

Counts

44 → 4

Calls

Call 1

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

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

Calls

1 calls:

63.0ms

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

Results

Accuracy	Segments	Branch
97.9%	4	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes13.0ms (0.1%)

Memory

20.3MiB live, 20.3MiB allocated

Counts

43 → 4

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

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

Results

Accuracy	Segments	Branch
97.9%	4	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes51.0ms (0.4%)

Memory

6.3MiB live, 43.9MiB allocated

Counts

42 → 5

Calls

Call 1

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

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

Calls

2 calls:

37.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
12.0ms	re

Results

Accuracy	Segments	Branch
95.8%	3	`re`
99.4%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes40.0ms (0.3%)

Memory

-7.0MiB live, 66.0MiB allocated

Counts

41 → 3

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	re
14.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
9.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
95.8%	3	`re`
95.8%	3	`(exp.f64 re)`
98.6%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes26.0ms (0.2%)

Memory

-0.7MiB live, 41.4MiB allocated

Counts

40 → 3

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	re
9.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
95.6%	3	`re`
95.6%	3	`(exp.f64 re)`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes56.0ms (0.5%)

Memory

-8.2MiB live, 106.3MiB allocated

Counts

38 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

12.0ms	(sin.f64 im)
11.0ms	im
11.0ms	re
10.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
10.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
56.8%	3	`(sin.f64 im)`
57.0%	2	`im`
65.3%	3	`(*.f64 (exp.f64 re) (sin.f64 im))`
62.7%	2	`re`
62.7%	2	`(exp.f64 re)`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes75.0ms (0.6%)

Memory

1.6MiB live, 82.7MiB allocated

Counts

37 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

21.0ms	(sin.f64 im)
21.0ms	(exp.f64 re)
11.0ms	im
10.0ms	re
9.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

Results

Accuracy	Segments	Branch
44.6%	2	`(sin.f64 im)`
41.4%	1	`im`
41.4%	1	`(exp.f64 re)`
41.4%	1	`re`
45.0%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes23.0ms (0.2%)

Memory

9.2MiB live, 45.6MiB allocated

Counts

33 → 2

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) #s(approx (* (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) re) (*.f64 im re)))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (+.f64 (*.f64 im re) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* 1/2 re) im) im) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (.f64 (.f64 (*.f64 im #s(literal 1/2 binary64)) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* 1/2 re) im) im) re) im) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 im re) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) re) im im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (/ im (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) (.f64 im re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1 binary64)))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 im re) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx ( (exp re) (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) re #s(literal -1/2 binary64)) re #s(literal 1 binary64)))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 im #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 #s(literal 6 binary64) (*.f64 re re)))) re im)))
#s(approx (* (exp re) (sin im)) (.f64 (.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))) re im)))
#s(approx (* (exp re) (sin im)) (.f64 (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (.f64 im (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (.f64 im (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re))) re #s(literal 1 binary64))) re im)))

Outputs

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

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

Calls

2 calls:

13.0ms	(sin.f64 im)
8.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

Results

Accuracy	Segments	Branch
44.1%	2	`(sin.f64 im)`
44.5%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes7.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
44.3%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes15.0ms (0.1%)

Memory

-8.1MiB live, 28.8MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

9.0ms	(sin.f64 im)
5.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

Results

Accuracy	Segments	Branch
43.2%	2	`(sin.f64 im)`
43.6%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes37.0ms (0.3%)

Memory

-27.8MiB live, 24.5MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
42.7%	2	`(sin.f64 im)`
43.1%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes5.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

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

Results

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

Compiler

Compiled 5 to 5 computations (0% saved)

regimes16.0ms (0.1%)

Memory

28.2MiB live, 28.2MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
40.2%	2	`re`
39.9%	2	`(exp.f64 re)`
35.9%	1	`im`
42.8%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 9 to 12 computations (-33.3% saved)

regimes23.0ms (0.2%)

Memory

-31.0MiB live, 7.1MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

22.0ms

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

Results

Accuracy	Segments	Branch
42.7%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes8.0ms (0.1%)

Memory

21.1MiB live, 21.1MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
39.9%	2	`re`
33.6%	2	`(sin.f64 im)`
39.9%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes12.0ms (0.1%)

Memory

-6.3MiB live, 33.0MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
31.4%	1	`(sin.f64 im)`
31.4%	1	`im`
31.4%	1	`re`
31.4%	1	`(exp.f64 re)`
31.4%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes8.0ms (0.1%)

Memory

18.0MiB live, 18.0MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
31.9%	2	`im`
31.5%	2	`(sin.f64 im)`
31.7%	2	`(exp.f64 re)`
31.7%	2	`re`
31.7%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes49.0ms (0.4%)

Memory

-24.1MiB live, 15.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

43.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms	(sin.f64 im)
1.0ms	im
1.0ms	re
1.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
6.4%	1	`(sin.f64 im)`
6.4%	1	`re`
6.4%	1	`(exp.f64 re)`
6.4%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`
6.4%	1	`im`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.9999249964600327	+inf
0.0ms	3.2354027535402696e-9	0.056951579904838456
0.0ms	-0.04287948615585449	0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch61.0ms (0.5%)

Memory

-10.8MiB live, 70.2MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
10.0ms	8.49302410058127e+102	3.739162185170875e+103
34.0ms	6.789607349951957e-33	3.016011580023416e-25
11.0ms	-0.941651665952517	-0.006917264091347437

Samples

41.0ms

352×

valid

Compiler

Compiled 596 to 520 computations (12.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-sin: 27.0ms (80.4% of total)

ival-exp: 3.0ms (8.9% of total)

ival-mult: 2.0ms (6% of total)

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

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

bsearch1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999249964600327	+inf
0.0ms	3.2354027535402696e-9	0.056951579904838456
0.0ms	-0.04287948615585449	0.0
0.0ms	-inf	-0.9983117079427601

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.9999249964600327	+inf
0.0ms	3.2354027535402696e-9	0.056951579904838456
0.0ms	-0.04287948615585449	0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.9999249964600327	+inf
0.0ms	3.2354027535402696e-9	0.056951579904838456
0.0ms	-0.04287948615585449	0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999249964600327	+inf
0.0ms	3.2354027535402696e-9	0.056951579904838456
0.0ms	-0.04287948615585449	0.0
0.0ms	-inf	-0.9983117079427601

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.014053550966651
0.0ms	0.38998318118597936	0.9931066051116698

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.014053550966651
0.0ms	0.38998318118597936	0.9931066051116698

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999249964600327	+inf
0.0ms	-inf	-0.9983117079427601

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.121246500034492e-301

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.121246500034492e-301

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.2354027535402696e-9	0.056951579904838456

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.2354027535402696e-9	0.056951579904838456

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.2354027535402696e-9	0.056951579904838456

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.121246500034492e-301

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.2354027535402696e-9	0.056951579904838456

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.2354027535402696e-9	0.056951579904838456

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9995704989294655	0.999843193425753

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch6.0ms (0%)

Memory

12.2MiB live, 12.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	4.3102004954676725e+33	5.885516770321376e+33

Samples

4.0ms

48×

valid

Compiler

Compiled 176 to 112 computations (36.4% saved)

Precisions

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

ival-sin: 2.0ms (80.3% of total)

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

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

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

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

simplify32.0ms (0.3%)

Memory

-21.2MiB live, 54.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	171	1240
1	203	1240

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/144115188075855872 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im)))))
(if (<=.f64 re #s(literal -8358680908399641/288230376151711744 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 re #s(literal 3266710722441009/10889035741470030830827987437816582766592 binary64)) (.f64 #s(approx (exp re) (+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 re #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) (.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (.f64 (exp.f64 re) (fma.f64 #s(approx (+ (* 1/120 (* im im)) -1/6) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/144115188075855872 binary64)) (.f64 #s(approx (exp re) (+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/144115188075855872 binary64)) (.f64 #s(approx (exp re) (+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/144115188075855872 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/144115188075855872 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (exp.f64 re) #s(literal 1/2 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (exp.f64 re) #s(literal 1 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))
(if (<=.f64 (exp.f64 re) #s(literal 1/2 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (exp.f64 re) #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)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx ( (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (.f64 (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) im))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im))) #s(approx (* (exp re) (sin im)) (.f64 (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) 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 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* 1/2 re) im) im) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1125449546879887/1125899906842624 binary64)) #s(approx ( (exp re) (sin im)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* 1/2 re) im) im) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
(if (<=.f64 im #s(literal 4399999999999999875823166803673088 binary64)) #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) #s(approx (* (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) re) (*.f64 im re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) #s(approx (* (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) re) (*.f64 im re)))))

Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/144115188075855872 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im)))))
(if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal -5764607523034235/144115188075855872 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx ( (exp re) (sin im)) (.f64 im (exp.f64 re))) (if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal 1 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #s(approx ( (exp re) (sin im)) (*.f64 im (exp.f64 re))))))
(if (<=.f64 re #s(literal -8358680908399641/288230376151711744 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 re #s(literal 3266710722441009/10889035741470030830827987437816582766592 binary64)) (.f64 #s(approx (exp re) (+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 re #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) (.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)))))
(if (<=.f64 re #s(literal -8358680908399641/288230376151711744 binary64)) #s(approx (* (exp re) (sin im)) (.f64 im (exp.f64 re))) (if (<=.f64 re #s(literal 3266710722441009/10889035741470030830827987437816582766592 binary64)) (.f64 #s(approx (exp re) (+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 re #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) #s(approx ( (exp re) (sin im)) (.f64 im (exp.f64 re))) (.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (.f64 (exp.f64 re) (fma.f64 #s(approx (+ (* 1/120 (* im im)) -1/6) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/144115188075855872 binary64)) (.f64 #s(approx (exp re) (+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (.f64 (fma.f64 #s(approx (+ (* 1/120 (* im im)) -1/6) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im)) (if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal -5764607523034235/144115188075855872 binary64)) (.f64 #s(approx (exp re) (+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx ( (exp re) (sin im)) (.f64 im (exp.f64 re))) (if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal 1 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #s(approx ( (exp re) (sin im)) (*.f64 im (exp.f64 re)))))))
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(if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im))) (if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal 1 binary64)) #s(approx ( (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))) im))))
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(if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal 0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im))) #s(approx (* (exp re) (sin im)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))) im)))
(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 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)))
(if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal 0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im)))))
(if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im))))
(if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)))))
(if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) 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 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)))
(if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal 0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)))))
(if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* 1/2 re) im) im) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* 1/2 re) im) im) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1125449546879887/1125899906842624 binary64)) #s(approx ( (exp re) (sin im)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* 1/2 re) im) im) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal 1125449546879887/1125899906842624 binary64)) #s(approx ( (exp re) (sin im)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* 1/2 re) im) im) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
(if (<=.f64 im #s(literal 4399999999999999875823166803673088 binary64)) #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) #s(approx (* (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) re) (*.f64 im re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) #s(approx (* (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) re) (*.f64 im re)))))

soundness2.6s (21.1%)

Memory

0.4MiB live, 1 534.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	249	996
1	792	943
2	2405	887
3	5517	870
0	8467	770
0	71	192
1	221	181
2	584	169
3	1576	163
4	2434	163
5	3117	163
6	3586	163
7	3734	163
8	4023	163
9	5952	163
0	8239	141
0	125	381
1	406	366
2	1114	344
3	3928	338
4	7424	338
0	8136	287
0	201	710
1	660	672
2	2127	632
3	4990	626
0	8789	543
0	40	244
0	62	244
1	185	244
2	1116	244
0	8223	244
0	25	128
0	43	128
1	128	128
2	826	128
0	8356	128

Stop Event

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

Compiler

Compiled 1 761 to 668 computations (62.1% saved)

preprocess219.0ms (1.8%)

Memory: 2.0MiB live, 280.6MiB allocated
Remove: (negabs im)
Compiler: Compiled 2 510 to 382 computations (84.8% 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	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	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