Metrics for math.exp on complex, imaginary part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.5MiB live, 1.5MiB 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)

sample838.0ms (7.2%)

Memory

-3.0MiB live, 997.8MiB allocated

Samples

600.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 407.0ms

ival-sin: 223.0ms (54.8% of total)

ival-exp: 106.0ms (26% of total)

ival-mult: 70.0ms (17.2% of total)

ival-true: 5.0ms (1.2% of total)

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

Bogosity

explain94.0ms (0.8%)

Memory

-6.4MiB live, 120.8MiB 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

55.0ms

512×

valid

Compiler

Compiled 53 to 29 computations (45.3% saved)

Precisions

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

ival-sin: 35.0ms (83.3% of total)

ival-exp: 4.0ms (9.5% of total)

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

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

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

preprocess27.0ms (0.2%)

Memory

16.6MiB live, 52.9MiB 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

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

simplify2.0ms (0%)

Memory

4.3MiB live, 4.3MiB 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

localize41.0ms (0.4%)

Memory

-28.5MiB live, 25.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 im)
accuracy	0	(exp.f64 re)
accuracy	0.01953125	(*.f64 (exp.f64 re) (sin.f64 im))

Samples

37.0ms

256×

valid

Compiler

Compiled 24 to 12 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-sin: 27.0ms (88% of total)

ival-exp: 2.0ms (6.5% of total)

ival-mult: 1.0ms (3.3% of total)

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

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

series3.0ms (0%)

Memory

2.9MiB live, 2.9MiB 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))

simplify368.0ms (3.2%)

Memory

0.8MiB live, 193.0MiB 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)

rewrite12.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Counts

3 → 4

Calls

Call 1

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

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

eval3.0ms (0%)

Memory: 4.0MiB live, 4.0MiB allocated
Compiler: Compiled 262 to 64 computations (75.6% saved)

prune5.0ms (0%)

Memory

8.3MiB live, 8.3MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	14	7	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	8	22

Accuracy

100.0%

Counts

22 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
▶	66.1%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
▶	62.7%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
▶	49.8%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
	49.8%	#s(approx (* (exp re) (sin im)) (fma.f64 (sin.f64 im) re (sin.f64 im)))
	54.1%	#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))
▶	64.1%	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
▶	49.2%	#s(approx (* (exp re) (sin im)) (sin.f64 im))

Compiler

Compiled 195 to 145 computations (25.6% saved)

simplify50.0ms (0.4%)

Memory

-25.6MiB live, 13.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize75.0ms (0.6%)

Memory

-2.2MiB live, 114.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
accuracy	0	(sin.f64 im)
accuracy	0.01953125	(*.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	23.81582032296396	#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	(sin.f64 im)
accuracy	0.01953125	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
accuracy	32.01637800394651	#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
accuracy	0	(exp.f64 re)
accuracy	0.015625	(*.f64 (exp.f64 re) im)
accuracy	22.981849415010696	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
accuracy	0	(sin.f64 im)
accuracy	32.537053835125036	#s(approx (* (exp re) (sin im)) (sin.f64 im))
accuracy	0.03125	(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
accuracy	0.0625	(fma.f64 (fma.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	0.13671875	(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy	21.64195881915292	#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))

Samples

54.0ms

256×

valid

Compiler

Compiled 255 to 47 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-add: 14.0ms (35.9% of total)

ival-mult: 13.0ms (33.3% of total)

ival-sin: 6.0ms (15.4% of total)

const: 3.0ms (7.7% of total)

ival-exp: 2.0ms (5.1% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

21.2MiB live, 21.2MiB allocated

Counts

17 → 43

Calls

Call 1

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

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

Calls

6 calls:

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

simplify215.0ms (1.8%)

Memory

11.5MiB live, 239.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	381
1	406	366
2	1119	344
3	3958	338
4	7383	338
0	8095	287

Stop Event

1×	iter limit
1×	node limit

Counts

43 → 41

Calls

Call 1

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

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

rewrite277.0ms (2.4%)

Memory

4.7MiB live, 334.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	128
0	43	128
1	128	128
2	826	128
0	8345	128

Stop Event

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

Counts

17 → 426

Calls

Call 1

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

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

eval103.0ms (0.9%)

Memory: -15.9MiB live, 187.4MiB allocated
Compiler: Compiled 13 128 to 2 188 computations (83.3% saved)

prune38.0ms (0.3%)

Memory

-19.1MiB live, 57.8MiB allocated

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	457	14	471
Fresh	0	2	2
Picked	0	5	5
Done	0	1	1
Total	457	22	479

Accuracy

100.0%

Counts

479 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
✓	66.1%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
✓	62.7%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
	33.2%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
▶	66.1%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (.f64 re re) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im))
	62.7%	(.f64 #s(approx (exp re) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im))
✓	49.8%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
▶	27.6%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (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)))
	26.8%	(*.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)))
	20.0%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re))) (sin.f64 im))
▶	20.2%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (sin.f64 im))
	16.7%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) (sin.f64 im))
▶	16.9%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
	49.8%	#s(approx (* (exp re) (sin im)) (fma.f64 (sin.f64 im) re (sin.f64 im)))
	54.1%	#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))
✓	64.1%	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
✓	49.2%	#s(approx (* (exp re) (sin im)) (sin.f64 im))
	32.7%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
	30.1%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
▶	24.5%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
	27.0%	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (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)))
	25.8%	#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 721 to 516 computations (28.4% saved)

simplify58.0ms (0.5%)

Memory

32.9MiB live, 72.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	352
0	74	352
1	122	352
2	219	349
3	483	349
4	1098	349
5	1329	349
6	1566	349
7	1578	349
8	1578	349
9	1584	349
10	1584	349
11	1602	349
12	1602	349
0	1602	337

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize147.0ms (1.3%)

Memory

-0.7MiB live, 243.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64))
accuracy	0.11328125	(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))
accuracy	32.01637800394651	#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
accuracy	35.25997049307659	#s(approx (sin im) (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))
accuracy	0.06640625	(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re)
accuracy	0.13671875	(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy	21.64195881915292	#s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re)))
accuracy	30.698760578440393	#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))
accuracy	0.0078125	(.f64 (.f64 re re) #s(literal 1/2 binary64))
accuracy	0.01953125	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
accuracy	23.81582032296396	#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64))))
accuracy	31.039102040381415	#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))
accuracy	0	(fma.f64 im re im)
accuracy	22.981849415010696	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
accuracy	28.758213501109488	#s(approx (* (exp re) im) (fma.f64 im re im))
accuracy	0.01953125	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (.f64 re re) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im))
accuracy	0.06640625	(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))
accuracy	0.13671875	(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy	21.64195881915292	#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re)))

Samples

116.0ms

256×

valid

Compiler

Compiled 551 to 94 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-mult: 36.0ms (37.6% of total)

ival-add: 32.0ms (33.4% of total)

const: 12.0ms (12.5% of total)

ival-sin: 11.0ms (11.5% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory

-8.3MiB live, 29.1MiB allocated

Counts

21 → 52

Calls

Call 1

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

Outputs
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
1/2
(+ 1/2 (* 1/6 re))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* (exp re) (sin im))
(exp re)
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* im (exp re))
(* im re)
(* re (+ im (/ im re)))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
re
(* re (+ 1 (/ 1 re)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(* -1 (* re (+ (* -1 im) (* -1 (/ im 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 (+ 1 re))
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
1/120
(+ 1/120 (* -1/5040 (pow im 2)))
-1/6
(- (* 1/120 (pow im 2)) 1/6)
(- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)
(* -1/5040 (pow im 2))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* -1/5040 (pow im 4))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* -1 (* im (- (* -1 re) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	re	@	0	((+ (* (+ (* 1/6 re) 1/2) (* re re)) (+ 1 re)) (* (exp re) (sin im)) (exp re) (+ (* 1/6 re) 1/2) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (* re re) 1/2) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (* (+ (* 1/6 re) 1/2) re) re) (* (exp re) (sin im)) (exp re) (+ 1 re) (sin im) (+ (* -1/5040 (* im im)) 1/120) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6))
2.0ms	re	@	inf	((+ (* (+ (* 1/6 re) 1/2) (* re re)) (+ 1 re)) (* (exp re) (sin im)) (exp re) (+ (* 1/6 re) 1/2) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (* re re) 1/2) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (* (+ (* 1/6 re) 1/2) re) re) (* (exp re) (sin im)) (exp re) (+ 1 re) (sin im) (+ (* -1/5040 (* im im)) 1/120) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6))
2.0ms	re	@	-inf	((+ (* (+ (* 1/6 re) 1/2) (* re re)) (+ 1 re)) (* (exp re) (sin im)) (exp re) (+ (* 1/6 re) 1/2) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (* re re) 1/2) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (* (+ (* 1/6 re) 1/2) re) re) (* (exp re) (sin im)) (exp re) (+ 1 re) (sin im) (+ (* -1/5040 (* im im)) 1/120) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6))
2.0ms	im	@	inf	((+ (* (+ (* 1/6 re) 1/2) (* re re)) (+ 1 re)) (* (exp re) (sin im)) (exp re) (+ (* 1/6 re) 1/2) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (* re re) 1/2) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (* (+ (* 1/6 re) 1/2) re) re) (* (exp re) (sin im)) (exp re) (+ 1 re) (sin im) (+ (* -1/5040 (* im im)) 1/120) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6))
2.0ms	im	@	-inf	((+ (* (+ (* 1/6 re) 1/2) (* re re)) (+ 1 re)) (* (exp re) (sin im)) (exp re) (+ (* 1/6 re) 1/2) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (* re re) 1/2) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (* (+ (* 1/6 re) 1/2) re) re) (* (exp re) (sin im)) (exp re) (+ 1 re) (sin im) (+ (* -1/5040 (* im im)) 1/120) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6))

simplify146.0ms (1.3%)

Memory

13.1MiB live, 171.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	442
1	468	429
2	1274	407
3	4337	405
0	8477	351

Stop Event

1×	iter limit
1×	node limit

Counts

52 → 50

Calls

Call 1

Inputs
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
1/2
(+ 1/2 (* 1/6 re))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* (exp re) (sin im))
(exp re)
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* im (exp re))
(* im re)
(* re (+ im (/ im re)))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
re
(* re (+ 1 (/ 1 re)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(* -1 (* re (+ (* -1 im) (* -1 (/ im 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 (+ 1 re))
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
1/120
(+ 1/120 (* -1/5040 (pow im 2)))
-1/6
(- (* 1/120 (pow im 2)) 1/6)
(- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)
(* -1/5040 (pow im 2))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* -1/5040 (pow im 4))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* -1 (* im (- (* -1 re) 1)))

Outputs
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))
(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)))))))
(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))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
im
(+ im (* im re))
(fma.f64 im re im)
(+ im (* re (+ im (* 1/2 (* im re)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)
(* 1/2 (pow re 2))
(.f64 (.f64 re re) #s(literal 1/2 binary64))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re)
(* 1/6 (pow re 3))
(*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re)
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(fma.f64 (fma.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 (sin.f64 im) (exp.f64 re))
(exp re)
(exp.f64 re)
(* 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))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im re)
(*.f64 im re)
(* re (+ im (/ im re)))
(fma.f64 im re im)
(* (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))
re
(* re (+ 1 (/ 1 re)))
(-.f64 re #s(literal -1 binary64))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) 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))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(fma.f64 im 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 (.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 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (exp.f64 re) (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (exp.f64 re)) (pow.f64 im #s(literal 5 binary64))))
(* im (+ 1 re))
(fma.f64 im re im)
(* im (+ 1 (* -1/6 (pow im 2))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im)
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im)
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow im 2)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow im 2)) 1/6)
(fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))
(- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64))
(* -1/5040 (pow im 2))
(.f64 #s(literal -1/5040 binary64) (.f64 im im))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))
(* -1/5040 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/5040 binary64))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 im im)) #s(literal 1/5040 binary64)))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 im im)))) (pow.f64 im #s(literal 4 binary64)))
(* -1 (* im (- (* -1 re) 1)))
(fma.f64 im re im)

rewrite267.0ms (2.3%)

Memory

-22.1MiB live, 264.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	284
0	74	284
1	257	281
2	1799	281
0	8371	269

Stop Event

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

Counts

21 → 372

Calls

Call 1

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

Outputs
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))))
(.f64 (-.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 re re)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re #s(literal 1 binary64)) re)))
(.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re))))
(.f64 (+.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 re re) (.f64 (fma.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re #s(literal 1 binary64)) re)))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (-.f64 (.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) re) #s(literal 1 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) re) (-.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re)))))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64)))))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)))))
(.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 (.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) re) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) (+.f64 #s(literal 1 binary64) re))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) re) (-.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re)))) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)))))
(.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) #s(literal 2 binary64)) (-.f64 (-.f64 (.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) re) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)) (-.f64 (-.f64 (.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) re) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) #s(literal 2 binary64)) (-.f64 (-.f64 (.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) re) #s(literal 1 binary64))) (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) #s(literal 2 binary64)) (-.f64 (-.f64 (.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) re) #s(literal 1 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)) (-.f64 (-.f64 (.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) re) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)) (-.f64 (-.f64 (.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) re) #s(literal 1 binary64))) (.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) #s(literal 2 binary64)) (-.f64 (-.f64 (.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) re) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)) (-.f64 (-.f64 (.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) re) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 re re (-.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 re (fma.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 re re))) (neg.f64 (-.f64 (fma.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re #s(literal 1 binary64)) re)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) #s(literal 2 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 re re) (.f64 (fma.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re #s(literal 1 binary64)) re)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (-.f64 (.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) re) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) re) (-.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) #s(literal 2 binary64)) (-.f64 (-.f64 (.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) re) #s(literal 1 binary64))) (.f64 (-.f64 (-.f64 (.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) re) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)))) (.f64 (-.f64 (-.f64 (.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) re) #s(literal 1 binary64)) (-.f64 (-.f64 (.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) re) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64))) (.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64)) (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re)) (-.f64 re #s(literal 1 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (-.f64 (.f64 re re) #s(literal 1 binary64)))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (-.f64 re #s(literal 1 binary64))))
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(/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64)) (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) im) (.f64 im #s(literal -1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) im) im)) (-.f64 #s(literal 1/36 binary64) (.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (pow.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) im) (.f64 im #s(literal -1/6 binary64))))) (fma.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64))))
(fma.f64 (.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/14400 binary64)) (.f64 im im)) (pow.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (.f64 im im)) (pow.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 im im) #s(literal -1/604800 binary64)))) #s(literal -1 binary64)) #s(literal -1/6 binary64))
(fma.f64 (.f64 (.f64 im im) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/14400 binary64))) (pow.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))
(fma.f64 (.f64 (.f64 im im) (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/1728000 binary64))) (pow.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 im im) #s(literal -1/604800 binary64)))) #s(literal -1 binary64)) #s(literal -1/6 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) im) im #s(literal -1/6 binary64))
(fma.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 im (.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) im) #s(literal -1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) im) im))) (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) im) im))))
(-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 im im) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 im im) #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) im) im) #s(literal -1/6 binary64))
(+.f64 #s(literal -1/6 binary64) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) im) im))

eval79.0ms (0.7%)

Memory: 5.6MiB live, 160.0MiB allocated
Compiler: Compiled 17 257 to 2 272 computations (86.8% saved)

prune69.0ms (0.6%)

Memory

13.9MiB live, 53.4MiB allocated

Pruning

32 alts after pruning (22 fresh and 10 done)

	Pruned	Kept	Total
New	467	12	479
Fresh	1	10	11
Picked	1	4	5
Done	0	6	6
Total	469	32	501

Accuracy

100.0%

Counts

501 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
✓	66.1%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
✓	62.7%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
	33.2%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
✓	66.1%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (.f64 re re) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im))
	66.1%	(.f64 #s(approx (exp re) (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im))
	62.7%	(.f64 #s(approx (exp re) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im))
▶	68.3%	(.f64 #s(approx (exp re) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re))))) (sin.f64 im))
✓	49.8%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
	27.6%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) im) im #s(literal -1/6 binary64)) im)))
	27.4%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(approx (+ ( -1/5040 (* im im)) 1/120) (.f64 #s(literal -1/5040 binary64) (.f64 im im))) (*.f64 im im) #s(literal -1/6 binary64)) im)))
	26.8%	(.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(approx (+ ( (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)))
	51.6%	(.f64 #s(approx (exp re) (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re))))) (sin.f64 im))
▶	20.0%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re))) (sin.f64 im))
✓	20.2%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (sin.f64 im))
	20.2%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) re) re))) (sin.f64 im))
	19.8%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) re))) (sin.f64 im))
	16.7%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) (sin.f64 im))
✓	16.9%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
	65.0%	#s(approx (* (exp re) (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)))
	49.8%	#s(approx (* (exp re) (sin im)) (fma.f64 (sin.f64 im) re (sin.f64 im)))
▶	54.1%	#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))
✓	64.1%	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
✓	49.2%	#s(approx (* (exp re) (sin im)) (sin.f64 im))
	32.7%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
	30.1%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
✓	24.5%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
	24.5%	#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)))))
	24.5%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (+.f64 (*.f64 im re) im)))
▶	6.4%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
	27.0%	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (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)))
▶	25.8%	#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 1 228 to 837 computations (31.8% saved)

simplify221.0ms (1.9%)

Memory

-10.2MiB live, 140.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) (exp.f64 re))
cost-diff	0	#s(approx (* (exp re) (sin im)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
cost-diff	0	(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re)
cost-diff	0	#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re))
cost-diff	0	#s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re)))
cost-diff	0	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re))) (sin.f64 im))
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 re)
cost-diff	0	#s(approx (+ (* im re) im) (*.f64 im re))
cost-diff	0	#s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re)))
cost-diff	0	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
cost-diff	320	(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)))
cost-diff	320	(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
cost-diff	640	(fma.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
cost-diff	960	(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	481
0	95	460
1	155	456
2	294	452
3	698	450
4	1941	450
5	4248	450
6	6484	450
7	7162	441
8	7566	441
9	7818	441
0	8021	428

Stop Event

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

Calls

Call 1

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

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

localize270.0ms (2.3%)

Memory

11.2MiB live, 208.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64))
accuracy	0.11328125	(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))
accuracy	6.890586471182793	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) (exp.f64 re))
accuracy	22.370679372534067	#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))
accuracy	0.05859375	(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re)
accuracy	0.13671875	(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy	21.64195881915292	#s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re)))
accuracy	30.731542403199455	#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re))
accuracy	0	(pow.f64 im #s(literal 3 binary64))
accuracy	0.109375	(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
accuracy	32.537053835125036	#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	35.29723532078128	#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
accuracy	0	(*.f64 im re)
accuracy	22.981849415010696	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
accuracy	28.758213501109488	#s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re)))
accuracy	30.983917572286725	#s(approx (+ (* im re) im) (*.f64 im re))
accuracy	0.15919877930532605	(fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))
accuracy	0.17578125	(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)))
accuracy	2.8002188418273297	(fma.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
accuracy	21.64195881915292	#s(approx (exp re) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)))))

Samples

145.0ms

256×

valid

Compiler

Compiled 805 to 115 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 123.0ms

ival-mult: 51.0ms (41.4% of total)

const: 40.0ms (32.5% of total)

ival-add: 17.0ms (13.8% of total)

ival-sin: 7.0ms (5.7% of total)

ival-div: 3.0ms (2.4% of total)

ival-pow: 3.0ms (2.4% of total)

ival-exp: 2.0ms (1.6% of total)

exact: 1.0ms (0.8% of total)

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

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

series29.0ms (0.2%)

Memory

-30.9MiB live, 23.6MiB allocated

Counts

24 → 93

Calls

Call 1

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

Outputs
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
-1/2
(- (* 1/6 re) 1/2)
(- (* re (+ 1/6 (* -1/4 re))) 1/2)
(- (* re (+ 1/6 (* re (- (* 1/4 re) 1/4)))) 1/2)
(- (* 2/3 re) 1/2)
(- (* re (+ 2/3 (* -2/3 re))) 1/2)
(- (* re (+ 2/3 (* re (- (* 2/3 re) 2/3)))) 1/2)
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(* im re)
re
(* re (+ 1 (* 1/2 re)))
(* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))
(+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(+ 1 (+ (* re (+ 1 (+ (* 1/2 (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(+ 1 (+ (* re (+ 1 (+ (* re (+ (* 1/6 (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))) (* 1/2 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
1/2
(+ 1/2 (* 1/6 re))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 1/36 (pow re 3))
(* (pow re 3) (- 1/36 (* 1/36 (/ 1 re))))
(* (pow re 3) (+ 1/36 (* -1 (/ (+ 1/36 (* 1/18 (/ 1 re))) re))))
(* (pow re 3) (- (+ 1/36 (* -1 (/ (+ 1/18 (* 5/18 (/ 1 re))) (pow re 2)))) (* 1/36 (/ 1 re))))
(* 1/6 re)
(* re (- 1/6 (* 1/2 (/ 1 re))))
1/6
(- 1/6 (* 2/3 (/ 1 re)))
(- (+ 1/6 (/ 2/3 (pow re 2))) (* 2/3 (/ 1 re)))
(- (+ 1/6 (/ 2/3 (pow re 2))) (+ (* 2/3 (/ 1 re)) (* 2/3 (/ 1 (pow re 3)))))
(* (exp re) (sin im))
(* im (exp re))
(* re (+ im (/ im re)))
(exp re)
(* (exp re) (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(* 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)))
(* -1 (* (pow re 3) (- (* 1/36 (/ 1 re)) 1/36)))
(* -1 (* (pow re 3) (- (+ (/ 1/18 (pow re 2)) (* 1/36 (/ 1 re))) 1/36)))
(* -1 (* (pow re 3) (- (* -1 (/ (- (* -1 (/ (+ 1/18 (* 5/18 (/ 1 re))) re)) 1/36) re)) 1/36)))
(* -1 (* re (- (* 1/2 (/ 1 re)) 1/6)))
(+ 1/6 (* -1 (/ (- 2/3 (* 2/3 (/ 1 re))) re)))
(+ 1/6 (* -1 (/ (+ 2/3 (* -1 (/ (- 2/3 (* 2/3 (/ 1 re))) re))) re)))
(* -1 (* re (+ (* -1 im) (* -1 (/ im 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 (+ 1 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)
(+ (exp re) (* -1/6 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))
(+ 1 (* -1/6 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))
-1/6
(- (* 1/120 (pow im 2)) 1/6)
(- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)
1/120
(+ 1/120 (* -1/5040 (pow im 2)))
(* -1/6 (pow im 3))
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6))
(* -1/5040 (* (pow im 6) (exp re)))
(* (pow im 6) (+ (* -1/5040 (exp re)) (* 1/120 (/ (exp re) (pow im 2)))))
(* (pow im 6) (+ (* -1/6 (/ (exp re) (pow im 4))) (+ (* -1/5040 (exp re)) (* 1/120 (/ (exp re) (pow im 2))))))
(* (pow im 6) (+ (* -1/6 (/ (exp re) (pow im 4))) (+ (* -1/5040 (exp re)) (+ (* 1/120 (/ (exp re) (pow im 2))) (/ (exp re) (pow im 6))))))
(* -1/5040 (pow im 6))
(* (pow im 6) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 6) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* (pow im 6) (- (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* -1/5040 (pow im 4))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* -1/5040 (pow im 2))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* -1 (* im (- (* -1 re) 1)))
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2)))))

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	im	@	inf	((/ (+ (* (* (+ (* 1/36 (* re re)) -1/4) (* re re)) (/ 1 (+ 1 re))) (* (+ (* re 1/6) -1/2) 1)) (* (+ (* re 1/6) -1/2) (/ 1 (+ 1 re)))) (+ (* (* (+ (* 1/36 (* re re)) -1/4) (* re re)) (/ 1 (+ 1 re))) (* (+ (* re 1/6) -1/2) 1)) (* (+ (* re 1/6) -1/2) 1) (* (+ (* re 1/6) -1/2) (/ 1 (+ 1 re))) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* im re) (* (exp re) (sin im)) (sin im) (+ (* (pow im 3) -1/6) im) (pow im 3) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (* (+ (* 1/6 re) 1/2) re) re) re) (* (exp re) (sin im)) (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (exp re) (+ (* re 1/6) -1/2) (+ (* 1/6 re) 1/2) (+ (* -1/5040 (* im im)) 1/120))
3.0ms	im	@	0	((/ (+ (* (* (+ (* 1/36 (* re re)) -1/4) (* re re)) (/ 1 (+ 1 re))) (* (+ (* re 1/6) -1/2) 1)) (* (+ (* re 1/6) -1/2) (/ 1 (+ 1 re)))) (+ (* (* (+ (* 1/36 (* re re)) -1/4) (* re re)) (/ 1 (+ 1 re))) (* (+ (* re 1/6) -1/2) 1)) (* (+ (* re 1/6) -1/2) 1) (* (+ (* re 1/6) -1/2) (/ 1 (+ 1 re))) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* im re) (* (exp re) (sin im)) (sin im) (+ (* (pow im 3) -1/6) im) (pow im 3) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (* (+ (* 1/6 re) 1/2) re) re) re) (* (exp re) (sin im)) (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (exp re) (+ (* re 1/6) -1/2) (+ (* 1/6 re) 1/2) (+ (* -1/5040 (* im im)) 1/120))
3.0ms	re	@	inf	((/ (+ (* (* (+ (* 1/36 (* re re)) -1/4) (* re re)) (/ 1 (+ 1 re))) (* (+ (* re 1/6) -1/2) 1)) (* (+ (* re 1/6) -1/2) (/ 1 (+ 1 re)))) (+ (* (* (+ (* 1/36 (* re re)) -1/4) (* re re)) (/ 1 (+ 1 re))) (* (+ (* re 1/6) -1/2) 1)) (* (+ (* re 1/6) -1/2) 1) (* (+ (* re 1/6) -1/2) (/ 1 (+ 1 re))) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* im re) (* (exp re) (sin im)) (sin im) (+ (* (pow im 3) -1/6) im) (pow im 3) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (* (+ (* 1/6 re) 1/2) re) re) re) (* (exp re) (sin im)) (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (exp re) (+ (* re 1/6) -1/2) (+ (* 1/6 re) 1/2) (+ (* -1/5040 (* im im)) 1/120))
3.0ms	re	@	-inf	((/ (+ (* (* (+ (* 1/36 (* re re)) -1/4) (* re re)) (/ 1 (+ 1 re))) (* (+ (* re 1/6) -1/2) 1)) (* (+ (* re 1/6) -1/2) (/ 1 (+ 1 re)))) (+ (* (* (+ (* 1/36 (* re re)) -1/4) (* re re)) (/ 1 (+ 1 re))) (* (+ (* re 1/6) -1/2) 1)) (* (+ (* re 1/6) -1/2) 1) (* (+ (* re 1/6) -1/2) (/ 1 (+ 1 re))) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* im re) (* (exp re) (sin im)) (sin im) (+ (* (pow im 3) -1/6) im) (pow im 3) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (* (+ (* 1/6 re) 1/2) re) re) re) (* (exp re) (sin im)) (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (exp re) (+ (* re 1/6) -1/2) (+ (* 1/6 re) 1/2) (+ (* -1/5040 (* im im)) 1/120))
3.0ms	im	@	-inf	((/ (+ (* (* (+ (* 1/36 (* re re)) -1/4) (* re re)) (/ 1 (+ 1 re))) (* (+ (* re 1/6) -1/2) 1)) (* (+ (* re 1/6) -1/2) (/ 1 (+ 1 re)))) (+ (* (* (+ (* 1/36 (* re re)) -1/4) (* re re)) (/ 1 (+ 1 re))) (* (+ (* re 1/6) -1/2) 1)) (* (+ (* re 1/6) -1/2) 1) (* (+ (* re 1/6) -1/2) (/ 1 (+ 1 re))) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* im re) (* (exp re) (sin im)) (sin im) (+ (* (pow im 3) -1/6) im) (pow im 3) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (* (+ (* 1/6 re) 1/2) re) re) re) (* (exp re) (sin im)) (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (exp re) (+ (* re 1/6) -1/2) (+ (* 1/6 re) 1/2) (+ (* -1/5040 (* im im)) 1/120))

simplify303.0ms (2.6%)

Memory

27.2MiB live, 137.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	277	1126
1	850	1075
2	2431	994
3	5780	972
0	8291	873

Stop Event

1×	iter limit
1×	node limit

Counts

93 → 91

Calls

Call 1

Inputs
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
-1/2
(- (* 1/6 re) 1/2)
(- (* re (+ 1/6 (* -1/4 re))) 1/2)
(- (* re (+ 1/6 (* re (- (* 1/4 re) 1/4)))) 1/2)
(- (* 2/3 re) 1/2)
(- (* re (+ 2/3 (* -2/3 re))) 1/2)
(- (* re (+ 2/3 (* re (- (* 2/3 re) 2/3)))) 1/2)
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(* im re)
re
(* re (+ 1 (* 1/2 re)))
(* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))
(+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(+ 1 (+ (* re (+ 1 (+ (* 1/2 (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(+ 1 (+ (* re (+ 1 (+ (* re (+ (* 1/6 (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))) (* 1/2 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
1/2
(+ 1/2 (* 1/6 re))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 1/36 (pow re 3))
(* (pow re 3) (- 1/36 (* 1/36 (/ 1 re))))
(* (pow re 3) (+ 1/36 (* -1 (/ (+ 1/36 (* 1/18 (/ 1 re))) re))))
(* (pow re 3) (- (+ 1/36 (* -1 (/ (+ 1/18 (* 5/18 (/ 1 re))) (pow re 2)))) (* 1/36 (/ 1 re))))
(* 1/6 re)
(* re (- 1/6 (* 1/2 (/ 1 re))))
1/6
(- 1/6 (* 2/3 (/ 1 re)))
(- (+ 1/6 (/ 2/3 (pow re 2))) (* 2/3 (/ 1 re)))
(- (+ 1/6 (/ 2/3 (pow re 2))) (+ (* 2/3 (/ 1 re)) (* 2/3 (/ 1 (pow re 3)))))
(* (exp re) (sin im))
(* im (exp re))
(* re (+ im (/ im re)))
(exp re)
(* (exp re) (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(* 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)))
(* -1 (* (pow re 3) (- (* 1/36 (/ 1 re)) 1/36)))
(* -1 (* (pow re 3) (- (+ (/ 1/18 (pow re 2)) (* 1/36 (/ 1 re))) 1/36)))
(* -1 (* (pow re 3) (- (* -1 (/ (- (* -1 (/ (+ 1/18 (* 5/18 (/ 1 re))) re)) 1/36) re)) 1/36)))
(* -1 (* re (- (* 1/2 (/ 1 re)) 1/6)))
(+ 1/6 (* -1 (/ (- 2/3 (* 2/3 (/ 1 re))) re)))
(+ 1/6 (* -1 (/ (+ 2/3 (* -1 (/ (- 2/3 (* 2/3 (/ 1 re))) re))) re)))
(* -1 (* re (+ (* -1 im) (* -1 (/ im 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 (+ 1 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)
(+ (exp re) (* -1/6 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))
(+ 1 (* -1/6 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))
-1/6
(- (* 1/120 (pow im 2)) 1/6)
(- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)
1/120
(+ 1/120 (* -1/5040 (pow im 2)))
(* -1/6 (pow im 3))
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6))
(* -1/5040 (* (pow im 6) (exp re)))
(* (pow im 6) (+ (* -1/5040 (exp re)) (* 1/120 (/ (exp re) (pow im 2)))))
(* (pow im 6) (+ (* -1/6 (/ (exp re) (pow im 4))) (+ (* -1/5040 (exp re)) (* 1/120 (/ (exp re) (pow im 2))))))
(* (pow im 6) (+ (* -1/6 (/ (exp re) (pow im 4))) (+ (* -1/5040 (exp re)) (+ (* 1/120 (/ (exp re) (pow im 2))) (/ (exp re) (pow im 6))))))
(* -1/5040 (pow im 6))
(* (pow im 6) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 6) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* (pow im 6) (- (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* -1/5040 (pow im 4))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* -1/5040 (pow im 2))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* -1 (* im (- (* -1 re) 1)))
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2)))))

Outputs
1
#s(literal 1 binary64)
(+ 1 re)
(-.f64 re #s(literal -1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 re) 1/2)
(fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))
(- (* re (+ 1/6 (* -1/4 re))) 1/2)
(fma.f64 (fma.f64 #s(literal -1/4 binary64) re #s(literal 1/6 binary64)) re #s(literal -1/2 binary64))
(- (* re (+ 1/6 (* re (- (* 1/4 re) 1/4)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) re #s(literal -1/4 binary64)) re #s(literal 1/6 binary64)) re #s(literal -1/2 binary64))
(- (* 2/3 re) 1/2)
(fma.f64 #s(literal 2/3 binary64) re #s(literal -1/2 binary64))
(- (* re (+ 2/3 (* -2/3 re))) 1/2)
(fma.f64 (fma.f64 #s(literal -2/3 binary64) re #s(literal 2/3 binary64)) re #s(literal -1/2 binary64))
(- (* re (+ 2/3 (* re (- (* 2/3 re) 2/3)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) re #s(literal -2/3 binary64)) re #s(literal 2/3 binary64)) re #s(literal -1/2 binary64))
(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))
im
(+ im (* im re))
(fma.f64 im re im)
(+ im (* re (+ im (* 1/2 (* im re)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)
(* im re)
(*.f64 im re)
re
(* re (+ 1 (* 1/2 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)
(* re (+ 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)) re)
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))
(+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(.f64 (-.f64 re #s(literal -1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)))
(+ 1 (+ (* re (+ 1 (+ (* 1/2 (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(+ 1 (+ (* re (+ 1 (+ (* re (+ (* 1/6 (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))) (* 1/2 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* 1/6 (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))
(* 1/36 (pow re 3))
(*.f64 #s(literal 1/36 binary64) (pow.f64 re #s(literal 3 binary64)))
(* (pow re 3) (- 1/36 (* 1/36 (/ 1 re))))
(*.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1/36 binary64) re)) (pow.f64 re #s(literal 3 binary64)))
(* (pow re 3) (+ 1/36 (* -1 (/ (+ 1/36 (* 1/18 (/ 1 re))) re))))
(*.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/18 binary64) re) #s(literal 1/36 binary64)) re)) (pow.f64 re #s(literal 3 binary64)))
(* (pow re 3) (- (+ 1/36 (* -1 (/ (+ 1/18 (* 5/18 (/ 1 re))) (pow re 2)))) (* 1/36 (/ 1 re))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/36 binary64) (/.f64 (+.f64 (/.f64 #s(literal 5/18 binary64) re) #s(literal 1/18 binary64)) re)) re) #s(literal -1/36 binary64)) (pow.f64 re #s(literal 3 binary64)))
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* re (- 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))
1/6
#s(literal 1/6 binary64)
(- 1/6 (* 2/3 (/ 1 re)))
(-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2/3 binary64) re))
(- (+ 1/6 (/ 2/3 (pow re 2))) (* 2/3 (/ 1 re)))
(-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2/3 binary64) re)) re))
(- (+ 1/6 (/ 2/3 (pow re 2))) (+ (* 2/3 (/ 1 re)) (* 2/3 (/ 1 (pow re 3)))))
(-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2/3 binary64) re)) re)) re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* re (+ im (/ im re)))
(fma.f64 im re im)
(exp re)
(exp.f64 re)
(* (exp re) (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) (exp.f64 re))
(* 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)))
(* -1 (* (pow re 3) (- (* 1/36 (/ 1 re)) 1/36)))
(*.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1/36 binary64) re)) (pow.f64 re #s(literal 3 binary64)))
(* -1 (* (pow re 3) (- (+ (/ 1/18 (pow re 2)) (* 1/36 (/ 1 re))) 1/36)))
(*.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/18 binary64) re) #s(literal 1/36 binary64)) re)) (pow.f64 re #s(literal 3 binary64)))
(* -1 (* (pow re 3) (- (* -1 (/ (- (* -1 (/ (+ 1/18 (* 5/18 (/ 1 re))) re)) 1/36) re)) 1/36)))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/36 binary64) (/.f64 (+.f64 (/.f64 #s(literal 5/18 binary64) re) #s(literal 1/18 binary64)) re)) re) #s(literal -1/36 binary64)) (pow.f64 re #s(literal 3 binary64)))
(* -1 (* re (- (* 1/2 (/ 1 re)) 1/6)))
(fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))
(+ 1/6 (* -1 (/ (- 2/3 (* 2/3 (/ 1 re))) re)))
(-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2/3 binary64) re)) re))
(+ 1/6 (* -1 (/ (+ 2/3 (* -1 (/ (- 2/3 (* 2/3 (/ 1 re))) re))) re)))
(-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2/3 binary64) re)) re)) re))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(fma.f64 im re 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))))))))
(.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 (+ 1 re))
(fma.f64 im re 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))
(+ (exp re) (* -1/6 (* (pow im 2) (exp re))))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 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 (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 re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) (exp.f64 re))
(+ 1 (* -1/6 (pow im 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow im 2)) 1/6)
(fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))
(- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow im 2)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))
(* -1/6 (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)
(* -1/5040 (* (pow im 6) (exp re)))
(.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/5040 binary64)) (exp.f64 re))
(* (pow im 6) (+ (* -1/5040 (exp re)) (* 1/120 (/ (exp re) (pow im 2)))))
(.f64 (.f64 (exp.f64 re) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) #s(literal 1/5040 binary64))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (+ (* -1/6 (/ (exp re) (pow im 4))) (+ (* -1/5040 (exp re)) (* 1/120 (/ (exp re) (pow im 2))))))
(.f64 (.f64 (exp.f64 re) (+.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/120 binary64) (*.f64 im im))) #s(literal -1/5040 binary64))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (+ (* -1/6 (/ (exp re) (pow im 4))) (+ (* -1/5040 (exp re)) (+ (* 1/120 (/ (exp re) (pow im 2))) (/ (exp re) (pow im 6))))))
(.f64 (fma.f64 (exp.f64 re) (+.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/120 binary64) (.f64 im im))) #s(literal -1/5040 binary64)) (/.f64 (exp.f64 re) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))
(* -1/5040 (pow im 6))
(*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/5040 binary64))
(* (pow im 6) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 im im)) #s(literal 1/5040 binary64)) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 im im)))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (- (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 im im)))) (pow.f64 im #s(literal 6 binary64))))
(* -1/5040 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/5040 binary64))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 im im)) #s(literal 1/5040 binary64)) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 im im)))) (pow.f64 im #s(literal 4 binary64)))
(* -1/5040 (pow im 2))
(.f64 #s(literal -1/5040 binary64) (.f64 im im))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) #s(literal 1/5040 binary64)) im) im)
(* -1 (* im (- (* -1 re) 1)))
(fma.f64 im re im)
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2)))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)

rewrite307.0ms (2.6%)

Memory

-26.5MiB live, 219.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	357
0	93	337
1	339	337
2	2452	303
0	8649	294

Stop Event

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

Counts

24 → 738

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) re)) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 re (+.f64 #s(literal 1 binary64) re))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (.f64 (.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 re (+.f64 #s(literal 1 binary64) re))) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) #s(literal -1 binary64)))
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eval4.1s (35%)

Memory: 27.3MiB live, 180.6MiB allocated
Compiler: Compiled 37 174 to 4 243 computations (88.6% saved)

prune44.0ms (0.4%)

Memory

-19.5MiB live, 108.4MiB allocated

Pruning

34 alts after pruning (22 fresh and 12 done)

	Pruned	Kept	Total
New	761	12	773
Fresh	7	10	17
Picked	3	2	5
Done	0	10	10
Total	771	34	805

Accuracy

100.0%

Counts

805 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
✓	66.1%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
✓	62.7%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
✓	66.1%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (.f64 re re) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im))
	66.1%	(.f64 #s(approx (exp re) (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im))
	62.7%	(.f64 #s(approx (exp re) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im))
	51.1%	(.f64 #s(approx (exp re) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx ( (+ (* re 1/6) -1/2) (/ 1 (+ 1 re))) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) re #s(literal -2/3 binary64)) re #s(literal 2/3 binary64)) re #s(literal -1/2 binary64))))) (sin.f64 im))
	67.9%	(.f64 #s(approx (exp re) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx ( (+ (* re 1/6) -1/2) (/ 1 (+ 1 re))) (fma.f64 #s(literal 2/3 binary64) re #s(literal -1/2 binary64))))) (sin.f64 im))
	22.3%	(.f64 #s(approx (exp re) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) #s(approx (* (+ (* re 1/6) -1/2) 1) (.f64 #s(literal 1/6 binary64) re))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re))))) (sin.f64 im))
	66.0%	(.f64 #s(approx (exp re) (/.f64 #s(approx (+ ( (* (+ (* 1/36 (* re re)) -1/4) (* re re)) (/ 1 (+ 1 re))) (* (+ (* re 1/6) -1/2) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) re #s(literal -1/4 binary64)) re #s(literal 1/6 binary64)) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re))))) (sin.f64 im))
✓	49.8%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
✓	20.0%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re))) (sin.f64 im))
	16.7%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (.f64 #s(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64)) re) re re))) (sin.f64 im))
✓	20.2%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (sin.f64 im))
	20.2%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) re) re))) (sin.f64 im))
	19.8%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) re))) (sin.f64 im))
✓	16.9%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
	65.0%	#s(approx (* (exp re) (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)))
	49.8%	#s(approx (* (exp re) (sin im)) (fma.f64 (sin.f64 im) re (sin.f64 im)))
	58.3%	#s(approx (* (exp re) (sin im)) (.f64 (.f64 (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
✓	64.1%	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
	27.0%	#s(approx (* (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (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))
	35.1%	#s(approx (* (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))) im))
	33.7%	#s(approx (* (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))) im))
	27.6%	#s(approx (* (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (.f64 (-.f64 re #s(literal -1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)))) im))
✓	49.2%	#s(approx (* (exp re) (sin im)) (sin.f64 im))
	32.7%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
	30.1%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
✓	24.5%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
	24.5%	#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)))))
	24.5%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (+.f64 (*.f64 im re) im)))
✓	6.4%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
	25.8%	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im)))
	25.8%	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/6 binary64)) im)))

Compiler

Compiled 2 200 to 878 computations (60.1% saved)

regimes69.0ms (0.6%)

Memory

7.7MiB live, 121.8MiB allocated

Counts

46 → 1

Calls

Call 1

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

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

Calls

5 calls:

15.0ms	re
14.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
13.0ms	(sin.f64 im)
13.0ms	im
12.0ms	(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)

regimes65.0ms (0.6%)

Memory

18.8MiB live, 98.8MiB allocated

Counts

42 → 4

Calls

Call 1

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

Calls

5 calls:

15.0ms	im
13.0ms	(exp.f64 re)
12.0ms	(sin.f64 im)
12.0ms	re
10.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

Results

Accuracy	Segments	Branch
97.8%	4	`re`
82.2%	2	`im`
99.0%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`
92.9%	2	`(exp.f64 re)`
82.7%	3	`(sin.f64 im)`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes16.0ms (0.1%)

Memory

-1.4MiB live, 36.9MiB allocated

Counts

40 → 4

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

re

Results

Accuracy	Segments	Branch
97.8%	4	`re`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes25.0ms (0.2%)

Memory

-17.4MiB live, 66.0MiB allocated

Counts

38 → 5

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.0%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`
97.3%	4	`re`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes9.0ms (0.1%)

Memory

23.5MiB live, 23.5MiB allocated

Counts

29 → 5

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
99.0%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes22.0ms (0.2%)

Memory

-20.3MiB live, 19.1MiB allocated

Counts

27 → 5

Calls

Call 1

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

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

7.0ms

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

Results

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

Compiler

Compiled 5 to 5 computations (0% saved)

regimes38.0ms (0.3%)

Memory

-14.8MiB live, 24.2MiB allocated

Counts

24 → 5

Calls

Call 1

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

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

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

Results

Accuracy	Segments	Branch
96.5%	4	`re`
98.5%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes7.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

22 → 5

Calls

Call 1

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

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

6.0ms

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

Results

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

Compiler

Compiled 5 to 5 computations (0% saved)

regimes7.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

21 → 5

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
98.3%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes26.0ms (0.2%)

Memory

-21.7MiB live, 17.4MiB allocated

Counts

15 → 5

Calls

Call 1

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

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

21.0ms	re
4.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

Results

Accuracy	Segments	Branch
91.1%	3	`re`
98.0%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes22.0ms (0.2%)

Memory

36.6MiB live, 36.6MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
57.3%	3	`(sin.f64 im)`
56.9%	2	`im`
63.2%	2	`re`
63.2%	2	`(exp.f64 re)`
66.8%	3	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes62.0ms (0.5%)

Memory

-7.0MiB live, 34.6MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
40.9%	2	`(sin.f64 im)`
35.1%	1	`im`
35.1%	1	`re`
35.1%	1	`(exp.f64 re)`
39.7%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes23.0ms (0.2%)

Memory

-30.5MiB live, 8.7MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

23.0ms

(sin.f64 im)

Results

Accuracy	Segments	Branch
39.8%	2	`(sin.f64 im)`

Compiler

Compiled 2 to 3 computations (-50% saved)

regimes8.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
39.6%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`
39.3%	2	`(sin.f64 im)`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes8.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
39.0%	2	`(sin.f64 im)`
39.3%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes59.0ms (0.5%)

Memory

-27.4MiB live, 11.6MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
37.9%	2	`(sin.f64 im)`
38.3%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes13.0ms (0.1%)

Memory

23.8MiB live, 23.8MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
30.1%	1	`re`
30.1%	1	`(exp.f64 re)`
30.1%	1	`im`
35.3%	2	`(sin.f64 im)`
35.6%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes32.0ms (0.3%)

Memory

-18.1MiB live, 21.2MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

5 calls:

23.0ms	im
2.0ms	(sin.f64 im)
2.0ms	re
2.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
2.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
25.8%	1	`re`
25.8%	1	`im`
25.8%	1	`(exp.f64 re)`
29.7%	2	`(sin.f64 im)`
29.9%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes9.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Results

Accuracy	Segments	Branch
24.5%	1	`im`
24.5%	1	`(exp.f64 re)`
24.5%	1	`re`
24.5%	1	`(sin.f64 im)`
24.5%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes7.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
6.4%	1	`im`
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))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch184.0ms (1.6%)

Memory

-13.4MiB live, 68.1MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
81.0ms	2.824975220254231e+46	3.068096724066627e+68
13.0ms	0.00012843305823798532	0.06293346426727119
87.0ms	-1239426.4942340215	-52.96640557350991

Samples

89.0ms

432×

valid

Compiler

Compiled 1 433 to 1 062 computations (25.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-mult: 65.0ms (81.7% of total)

ival-sin: 10.0ms (12.6% of total)

ival-exp: 4.0ms (5% of total)

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

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

bsearch5.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
2.0ms	2.824975220254231e+46	3.068096724066627e+68
1.0ms	0.00012843305823798532	0.06293346426727119
1.0ms	-1239426.4942340215	-52.96640557350991

Compiler

Compiled 1 444 to 1 095 computations (24.2% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	602.0843482382575	+inf
0.0ms	9.977840409388051e-84	5.15994199100434e-81
0.0ms	-8.615158990674845e-24	0.0
0.0ms	-inf	-0.998628485780798

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	602.0843482382575	+inf
0.0ms	9.977840409388051e-84	5.15994199100434e-81
0.0ms	-8.615158990674845e-24	0.0
0.0ms	-inf	-0.998628485780798

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	602.0843482382575	+inf
0.0ms	9.977840409388051e-84	5.15994199100434e-81
0.0ms	-8.615158990674845e-24	0.0
0.0ms	-inf	-0.998628485780798

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch62.0ms (0.5%)

Memory

-37.5MiB live, 1.6MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	602.0843482382575	+inf
0.0ms	9.977840409388051e-84	5.15994199100434e-81
0.0ms	-8.615158990674845e-24	0.0
0.0ms	-inf	-0.998628485780798

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	602.0843482382575	+inf
0.0ms	9.977840409388051e-84	5.15994199100434e-81
0.0ms	-8.615158990674845e-24	0.0
0.0ms	-inf	-0.998628485780798

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	602.0843482382575	+inf
0.0ms	9.977840409388051e-84	5.15994199100434e-81
0.0ms	-8.615158990674845e-24	0.0
0.0ms	-inf	-0.998628485780798

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	602.0843482382575	+inf
0.0ms	9.977840409388051e-84	5.15994199100434e-81
0.0ms	-8.615158990674845e-24	0.0
0.0ms	-inf	-0.998628485780798

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	602.0843482382575	+inf
0.0ms	-inf	-0.998628485780798

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.927895662280718e-74	1.4309345453383393e-72

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3073449608660787e-289	2.09144323008886e-289

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.047458768441561675	0.0815652439410178

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	6.398650325646996e-307

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	6.398650325646996e-307

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	6.398650325646996e-307

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	6.398650325646996e-307

Compiler

Compiled 8 to 10 computations (-25% saved)

simplify121.0ms (1%)

Memory

15.2MiB live, 53.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	179	1806
1	211	1806
2	214	1806
3	215	1806
4	216	1806

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 re #s(literal -54 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 re #s(literal 5188146770730811/144115188075855872 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (.f64 re re) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im)) (if (<=.f64 re #s(literal 300000000000000021759430914458770537847512322893956586655463046643712 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (.f64 (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im)) (.f64 #s(approx (exp re) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) #s(approx ( (+ (* re 1/6) -1/2) 1) (.f64 #s(literal 1/6 binary64) re))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re))))) (sin.f64 im)))))
(if (<=.f64 re #s(literal -54 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 re #s(literal 5188146770730811/144115188075855872 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (.f64 re re) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im)) (if (<=.f64 re #s(literal 300000000000000021759430914458770537847512322893956586655463046643712 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (.f64 (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im)) (.f64 #s(approx (exp re) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (* (+ (* re 1/6) -1/2) (/ 1 (+ 1 re))) (fma.f64 #s(literal 2/3 binary64) re #s(literal -1/2 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 (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 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 (exp.f64 re) (sin.f64 im)) #s(literal -6805647338418769/1361129467683753853853498429727072845824 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (.f64 re re) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 2734063405978765/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1000 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) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (.f64 (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 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 (exp.f64 re) (sin.f64 im)) #s(literal -6805647338418769/1361129467683753853853498429727072845824 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 2734063405978765/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1000 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) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (.f64 (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 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 (exp.f64 re) (sin.f64 im)) #s(literal -6805647338418769/1361129467683753853853498429727072845824 binary64)) (.f64 #s(approx (exp re) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 2734063405978765/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1000 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)))) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -6805647338418769/1361129467683753853853498429727072845824 binary64)) (.f64 #s(approx (exp re) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 2734063405978765/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1000 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)))) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -6805647338418769/1361129467683753853853498429727072845824 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 2734063405978765/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1000 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)))) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -6805647338418769/1361129467683753853853498429727072845824 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 2734063405978765/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1000 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)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)))) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -6805647338418769/1361129467683753853853498429727072845824 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 2734063405978765/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1000 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)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)))) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1000 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))))
(if (<=.f64 (sin.f64 im) #s(literal 6365737426045269/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336 binary64)) #s(approx (* (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)))) im)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))))
(if (<=.f64 (sin.f64 im) #s(literal 4388899255034951/21944496275174754733023745004748837080297570543729328280448007953824789527038691788660702798145451174453138901351488446979832735450978591612896414872982681198457994802840025058142360791167736098566050165049439180766375815715632675961171034001565824849041810386302038359368560295224574744242597208206082048 binary64)) #s(approx (* (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)))) im)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx ( (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (.f64 (-.f64 re #s(literal -1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)))) im)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) im)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))))
(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 im im) (.f64 im #s(literal -1/6 binary64)) im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re 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 im im) (.f64 im #s(literal -1/6 binary64)) im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im))))
(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 im im) (.f64 im #s(literal -1/6 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) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))

Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
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(if (<=.f64 (sin.f64 im) #s(literal 6365737426045269/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336 binary64)) #s(approx (* (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)))) im)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re im) re im))))
(if (<=.f64 (sin.f64 im) #s(literal 4388899255034951/21944496275174754733023745004748837080297570543729328280448007953824789527038691788660702798145451174453138901351488446979832735450978591612896414872982681198457994802840025058142360791167736098566050165049439180766375815715632675961171034001565824849041810386302038359368560295224574744242597208206082048 binary64)) #s(approx (* (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)))) im)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))))
(if (<=.f64 (sin.f64 im) #s(literal 4388899255034951/21944496275174754733023745004748837080297570543729328280448007953824789527038691788660702798145451174453138901351488446979832735450978591612896414872982681198457994802840025058142360791167736098566050165049439180766375815715632675961171034001565824849041810386302038359368560295224574744242597208206082048 binary64)) #s(approx (* (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)))) im)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re im) re im))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx ( (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (.f64 (-.f64 re #s(literal -1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)))) im)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))))
(if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx ( (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (.f64 (-.f64 re #s(literal -1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)))) im)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re im) re im))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (sin im)) (.f64 #s(approx ( (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) im)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))))
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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 im im) (.f64 #s(literal -1/6 binary64) im) im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re im) re im))))
(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 im im) (.f64 im #s(literal -1/6 binary64)) im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im))))
(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 im im) (.f64 #s(literal -1/6 binary64) im) im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im))))
(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 im im) (.f64 im #s(literal -1/6 binary64)) im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re 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 im im) (.f64 #s(literal -1/6 binary64) im) 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) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))

soundness2.4s (20.3%)

Memory

-9.1MiB live, 1 192.7MiB allocated

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
0	58	357
0	93	337
1	339	337
2	2452	303
0	8649	294
0	125	381
1	406	366
2	1119	344
3	3958	338
4	7383	338
0	8095	287
0	148	442
1	468	429
2	1274	407
3	4337	405
0	8477	351
0	25	128
0	43	128
1	128	128
2	826	128
0	8345	128
0	50	284
0	74	284
1	257	281
2	1799	281
0	8371	269
0	277	1126
1	850	1075
2	2431	994
3	5780	972
0	8291	873

Stop Event

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

Compiler

Compiled 2 311 to 636 computations (72.5% saved)

preprocess168.0ms (1.4%)

Memory: 23.9MiB live, 214.9MiB allocated
Remove: (negabs im)
Compiler: Compiled 3 642 to 398 computations (89.1% 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

start0.0ms (0%)

analyze0.0ms (0%)

sample838.0ms (7.2%)

explain94.0ms (0.8%)

preprocess27.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0%)

localize41.0ms (0.4%)

series3.0ms (0%)

simplify368.0ms (3.2%)

rewrite12.0ms (0.1%)

eval3.0ms (0%)

prune5.0ms (0%)

simplify50.0ms (0.4%)

localize75.0ms (0.6%)

series8.0ms (0.1%)

simplify215.0ms (1.8%)

rewrite277.0ms (2.4%)

eval103.0ms (0.9%)

prune38.0ms (0.3%)

simplify58.0ms (0.5%)

localize147.0ms (1.3%)

series13.0ms (0.1%)

simplify146.0ms (1.3%)

rewrite267.0ms (2.3%)

eval79.0ms (0.7%)

prune69.0ms (0.6%)

simplify221.0ms (1.9%)

localize270.0ms (2.3%)

series29.0ms (0.2%)

simplify303.0ms (2.6%)

rewrite307.0ms (2.6%)

eval4.1s (35%)

prune44.0ms (0.4%)

regimes69.0ms (0.6%)

regimes65.0ms (0.6%)

regimes16.0ms (0.1%)

regimes25.0ms (0.2%)

regimes9.0ms (0.1%)

regimes22.0ms (0.2%)

regimes38.0ms (0.3%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes26.0ms (0.2%)

regimes22.0ms (0.2%)

regimes62.0ms (0.5%)

regimes23.0ms (0.2%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes59.0ms (0.5%)

regimes13.0ms (0.1%)

regimes32.0ms (0.3%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch184.0ms (1.6%)

bsearch5.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch62.0ms (0.5%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify121.0ms (1%)

soundness2.4s (20.3%)

preprocess168.0ms (1.4%)

end0.0ms (0%)

Profiling

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