Metrics for math.exp on complex, imaginary part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample842.0ms (7.6%)

Memory

17.1MiB live, 1 123.4MiB allocated

Samples

618.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 388.0ms

ival-sin: 230.0ms (59.3% of total)

ival-mult: 75.0ms (19.3% of total)

ival-exp: 73.0ms (18.8% of total)

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

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

Bogosity

explain66.0ms (0.6%)

Memory

-15.5MiB live, 110.3MiB 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

39.0ms

512×

valid

Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-sin: 11.0ms (57.7% of total)

ival-exp: 4.0ms (21% of total)

ival-mult: 3.0ms (15.7% of total)

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

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

preprocess23.0ms (0.2%)

Memory

16.7MiB live, 55.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(negabs im)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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

2.3MiB live, 2.3MiB 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

localize46.0ms (0.4%)

Memory

-2.7MiB live, 36.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(sin.f64 im)
accuracy	0.0	(exp.f64 re)
accuracy	0.01171875	(*.f64 (exp.f64 re) (sin.f64 im))

Samples

41.0ms

256×

valid

Compiler

Compiled 24 to 12 computations (50% saved)

Precisions

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

ival-sin: 5.0ms (49.5% of total)

ival-exp: 2.0ms (19.8% of total)

ival-mult: 2.0ms (19.8% of total)

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

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

series3.0ms (0%)

Memory

7.7MiB live, 7.7MiB 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))

simplify173.0ms (1.6%)

Memory

-15.0MiB live, 152.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 17

Calls

Call 1

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

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

rewrite34.0ms (0.3%)

Memory

-5.6MiB live, 41.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Counts

3 → 4

Calls

Call 1

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

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

eval2.0ms (0%)

Memory: 4.3MiB live, 4.3MiB allocated
Compiler: Compiled 262 to 64 computations (75.6% saved)

prune5.0ms (0%)

Memory

7.8MiB live, 7.8MiB 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))
▶	65.7%	(*.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))
▶	62.4%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
▶	48.6%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
	48.6%	#s(approx (* (exp re) (sin im)) (fma.f64 (sin.f64 im) re (sin.f64 im)))
	61.8%	#s(approx (* (exp re) (sin im)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
▶	73.8%	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
▶	48.1%	#s(approx (* (exp re) (sin im)) (sin.f64 im))

Compiler

Compiled 195 to 145 computations (25.6% saved)

simplify26.0ms (0.2%)

Memory

-27.4MiB live, 11.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize3.9s (35.7%)

Memory

27.8MiB live, 104.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.04296875	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
accuracy	0.046875	(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
accuracy	0.19921875	(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy	21.94840166680065	#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy	0.0	(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
accuracy	0.0	(sin.f64 im)
accuracy	0.01171875	(*.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	24.064207126277253	#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy	0.0	(+.f64 #s(literal 1 binary64) re)
accuracy	0.0	(sin.f64 im)
accuracy	0.01171875	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
accuracy	32.80493146076562	#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
accuracy	0.0	(sin.f64 im)
accuracy	33.18590797719406	#s(approx (* (exp re) (sin im)) (sin.f64 im))
accuracy	0.0	(exp.f64 re)
accuracy	0.00390625	(*.f64 (exp.f64 re) im)
accuracy	16.770264492455535	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))

Samples

3.9s

256×

valid

Compiler

Compiled 255 to 47 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.9s

ival-add: 3.9s (99.4% of total)

ival-mult: 10.0ms (0.3% of total)

ival-sin: 6.0ms (0.2% of total)

const: 4.0ms (0.1% of total)

ival-exp: 2.0ms (0.1% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Memory

-26.5MiB live, 13.6MiB allocated

Counts

17 → 43

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	im	@	-inf	((* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2))
2.0ms	re	@	inf	((* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2))
2.0ms	re	@	-inf	((* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2))
1.0ms	re	@	0	((* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2))
1.0ms	im	@	0	((* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2))

simplify168.0ms (1.5%)

Memory

32.1MiB live, 185.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	381
1	406	366
2	1114	344
3	3932	338
4	7432	338
0	8144	287

Stop Event

1×	iter limit
1×	node limit

Counts

43 → 41

Calls

Call 1

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

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

rewrite343.0ms (3.1%)

Memory

-10.5MiB live, 195.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	128
0	43	128
1	128	128
2	826	128
0	8371	128

Stop Event

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

Counts

17 → 426

Calls

Call 1

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

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

eval173.0ms (1.6%)

Memory: 8.5MiB live, 83.2MiB allocated
Compiler: Compiled 13 130 to 2 192 computations (83.3% saved)

prune79.0ms (0.7%)

Memory

-5.4MiB live, 38.1MiB allocated

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	456	14	470
Fresh	1	1	2
Picked	0	5	5
Done	0	1	1
Total	457	21	478

Accuracy

100.0%

Counts

478 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
✓	65.7%	(*.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))
	42.9%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
▶	65.7%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
✓	62.4%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
	41.7%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
✓	48.6%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
	32.7%	(*.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)))
	21.1%	(.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))
▶	21.2%	(.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))
	17.9%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) (sin.f64 im))
▶	18.0%	(.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))
	61.8%	#s(approx (* (exp re) (sin im)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
✓	73.8%	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
▶	41.3%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
▶	28.1%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
✓	48.1%	#s(approx (* (exp re) (sin im)) (sin.f64 im))
	36.9%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im)))
	42.4%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
	30.5%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
	31.9%	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))

Compiler

Compiled 685 to 494 computations (27.9% saved)

simplify65.0ms (0.6%)

Memory

-14.6MiB live, 23.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	343
0	70	343
1	104	343
2	137	343
3	221	343
4	450	343
5	655	343
6	1093	343
7	1231	343
8	1231	343
0	1231	337

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize147.0ms (1.3%)

Memory

24.3MiB live, 99.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)
accuracy	0.19921875	(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy	21.94840166680065	#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	29.29910438608943	#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	0.0	(sin.f64 im)
accuracy	0.01171875	(.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	24.064207126277253	#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64))))
accuracy	29.53550742683981	#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))
accuracy	0.0	(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
accuracy	0.00390625	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)
accuracy	16.770264492455535	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
accuracy	24.064207126277253	#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy	0.00390625	(*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)
accuracy	16.770264492455535	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
accuracy	33.29562457673406	#s(approx (exp re) #s(literal 1 binary64))
accuracy	0.1015625	(fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64))
accuracy	0.203125	(fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))
accuracy	16.42579994589621	(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))
accuracy	21.94840166680065	#s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64)))

Samples

93.0ms

256×

valid

Compiler

Compiled 554 to 86 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-exp: 30.0ms (40.6% of total)

ival-mult: 19.0ms (25.7% of total)

ival-add: 10.0ms (13.5% of total)

ival-sin: 6.0ms (8.1% of total)

const: 6.0ms (8.1% of total)

ival-div: 2.0ms (2.7% of total)

exact: 1.0ms (1.4% of total)

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

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

series48.0ms (0.4%)

Memory

-25.6MiB live, 15.2MiB allocated

Counts

26 → 51

Calls

Call 1

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

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 (pow re 2))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
1/2
(+ 1/2 (* 1/6 re))
-1/2
(- (* 1/6 re) 1/2)
-1/4
(- (* 1/36 (pow re 2)) 1/4)
(* 1/2 re)
(* re (+ 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))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (- 1/6 (* 1/2 (/ 1 re))))
(* 1/36 (pow re 2))
(* (pow re 2) (- 1/36 (* 1/4 (/ 1 (pow re 2)))))
(* re (+ 1/2 (/ 1 re)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(* -1 (* re (- (* 1/2 (/ 1 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
37.0ms	im	@	0	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) re) 1) re) 1) (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (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) (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) (+ (* 1/6 re) -1/2) (+ (* 1/36 (* re re)) -1/4) (+ (* 1/2 re) 1) (sin im) (+ (* 1/6 re) 1/2) (* (+ (* 1/6 re) 1/2) re))
3.0ms	re	@	-inf	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) re) 1) re) 1) (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (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) (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) (+ (* 1/6 re) -1/2) (+ (* 1/36 (* re re)) -1/4) (+ (* 1/2 re) 1) (sin im) (+ (* 1/6 re) 1/2) (* (+ (* 1/6 re) 1/2) re))
3.0ms	re	@	inf	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) re) 1) re) 1) (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (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) (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) (+ (* 1/6 re) -1/2) (+ (* 1/36 (* re re)) -1/4) (+ (* 1/2 re) 1) (sin im) (+ (* 1/6 re) 1/2) (* (+ (* 1/6 re) 1/2) re))
3.0ms	re	@	0	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) re) 1) re) 1) (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (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) (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) (+ (* 1/6 re) -1/2) (+ (* 1/36 (* re re)) -1/4) (+ (* 1/2 re) 1) (sin im) (+ (* 1/6 re) 1/2) (* (+ (* 1/6 re) 1/2) re))
2.0ms	im	@	inf	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) re) 1) re) 1) (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (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) (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) (+ (* 1/6 re) -1/2) (+ (* 1/36 (* re re)) -1/4) (+ (* 1/2 re) 1) (sin im) (+ (* 1/6 re) 1/2) (* (+ (* 1/6 re) 1/2) re))

simplify201.0ms (1.8%)

Memory

31.8MiB live, 139.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	427
1	446	414
2	1228	392
3	4313	386
0	8002	328

Stop Event

1×	iter limit
1×	node limit

Counts

51 → 50

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 (pow re 2))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
1/2
(+ 1/2 (* 1/6 re))
-1/2
(- (* 1/6 re) 1/2)
-1/4
(- (* 1/36 (pow re 2)) 1/4)
(* 1/2 re)
(* re (+ 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))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (- 1/6 (* 1/2 (/ 1 re))))
(* 1/36 (pow re 2))
(* (pow re 2) (- 1/36 (* 1/4 (/ 1 (pow re 2)))))
(* re (+ 1/2 (/ 1 re)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(* -1 (* re (- (* 1/2 (/ 1 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 (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)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 re) 1/2)
(fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))
-1/4
#s(literal -1/4 binary64)
(- (* 1/36 (pow re 2)) 1/4)
(fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64))
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(* re (+ 1/2 (* 1/6 re)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)
(* (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))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* re (- 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))
(* 1/36 (pow re 2))
(.f64 #s(literal 1/36 binary64) (.f64 re re))
(* (pow re 2) (- 1/36 (* 1/4 (/ 1 (pow re 2)))))
(fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(fma.f64 (*.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))
(* -1 (* re (- (* 1/2 (/ 1 re)) 1/6)))
(fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 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)

rewrite466.0ms (4.2%)

Memory

-16.6MiB live, 233.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	313
0	70	320
1	214	272
2	1504	272
0	8412	272

Stop Event

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

Counts

26 → 813

Calls

Call 1

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

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

eval195.0ms (1.8%)

Memory: 15.2MiB live, 128.9MiB allocated
Compiler: Compiled 25 760 to 4 070 computations (84.2% saved)

prune126.0ms (1.1%)

Memory

-14.7MiB live, 58.7MiB allocated

Pruning

22 alts after pruning (13 fresh and 9 done)

	Pruned	Kept	Total
New	723	6	729
Fresh	3	7	10
Picked	2	3	5
Done	0	6	6
Total	728	22	750

Accuracy

100.0%

Counts

750 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
✓	65.7%	(*.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))
▶	65.5%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 #s(approx (+ ( 1/36 (* re re)) -1/4) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (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))
	47.8%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 #s(approx (+ ( 1/36 (* re re)) -1/4) #s(literal -1/4 binary64)) (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))
✓	62.4%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
✓	48.6%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
	32.7%	(*.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)))
	21.1%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 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))
✓	21.2%	(.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))
▶	17.9%	(.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))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
▶	17.9%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) (sin.f64 im))
✓	18.0%	(.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))
	16.9%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
	61.8%	#s(approx (* (exp re) (sin im)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
✓	73.8%	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
	17.0%	#s(approx (* (exp re) (sin 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))) im))
✓	28.1%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
✓	48.1%	#s(approx (* (exp re) (sin im)) (sin.f64 im))
	36.9%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im)))
▶	42.4%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
▶	30.5%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
	31.9%	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))

Compiler

Compiled 764 to 554 computations (27.5% saved)

simplify33.0ms (0.3%)

Memory

37.1MiB live, 37.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
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))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
cost-diff	0	(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)
cost-diff	0	#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))
cost-diff	0	#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)))
cost-diff	0	(.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))
cost-diff	0	(*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))
cost-diff	0	(fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)
cost-diff	0	#s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))
cost-diff	0	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
cost-diff	0	(fma.f64 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 (/.f64 #s(approx (+ (* 1/36 (* re re)) -1/4) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (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 (/.f64 #s(approx (+ (* 1/36 (* re re)) -1/4) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (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 (/.f64 #s(approx (+ (* 1/36 (* re re)) -1/4) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (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 (/.f64 #s(approx (+ ( 1/36 (* re re)) -1/4) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (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	59	448
0	86	448
1	133	448
2	198	448
3	427	448
4	951	448
5	1653	448
6	1806	448
7	1818	448
8	1818	448
0	1818	436

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize373.0ms (3.4%)

Memory

-2.9MiB live, 155.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.19921875	(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy	21.94840166680065	#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	29.29910438608943	#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	29.576898306959915	#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
accuracy	0.00390625	(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)
accuracy	0.01171875	(.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))
accuracy	24.064207126277253	#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)))
accuracy	29.440221235848192	#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))
accuracy	0.19921875	(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy	4.252583906799084	(*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))
accuracy	16.770264492455535	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
accuracy	21.48001751480137	#s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))
accuracy	0.0	(fma.f64 im re im)
accuracy	16.770264492455535	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
accuracy	29.84707404061717	#s(approx (* (exp re) im) (fma.f64 im re im))
accuracy	0.203125	(fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))
accuracy	16.42579994589621	(/.f64 #s(approx (+ (* 1/36 (* re re)) -1/4) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))
accuracy	21.94840166680065	#s(approx (exp re) (fma.f64 (fma.f64 (/.f64 #s(approx (+ (* 1/36 (* re re)) -1/4) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy	29.806024899826017	#s(approx (+ (* 1/36 (* re re)) -1/4) (.f64 #s(literal 1/36 binary64) (.f64 re re)))

Samples

340.0ms

256×

valid

Compiler

Compiled 708 to 107 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 318.0ms

ival-mult: 220.0ms (69.1% of total)

ival-pow: 64.0ms (20.1% of total)

ival-add: 13.0ms (4.1% of total)

const: 9.0ms (2.8% of total)

ival-sin: 6.0ms (1.9% of total)

ival-div: 2.0ms (0.6% of total)

ival-exp: 2.0ms (0.6% of total)

exact: 1.0ms (0.3% of total)

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

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

series91.0ms (0.8%)

Memory

-4.6MiB live, 34.2MiB allocated

Counts

24 → 71

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
77.0ms	re	@	inf	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) re) 1) re) 1) (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) re) 1) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (+ (* 1/2 re) 1) re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (* (+ (* 1/6 re) 1/2) re) re) (+ (* 1/36 (* re re)) -1/4) (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) (+ (* 1/6 re) -1/2) (+ (* 1/6 re) 1/2) (sin im))
4.0ms	im	@	0	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) re) 1) re) 1) (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) re) 1) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (+ (* 1/2 re) 1) re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (* (+ (* 1/6 re) 1/2) re) re) (+ (* 1/36 (* re re)) -1/4) (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) (+ (* 1/6 re) -1/2) (+ (* 1/6 re) 1/2) (sin im))
3.0ms	re	@	-inf	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) re) 1) re) 1) (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) re) 1) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (+ (* 1/2 re) 1) re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (* (+ (* 1/6 re) 1/2) re) re) (+ (* 1/36 (* re re)) -1/4) (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) (+ (* 1/6 re) -1/2) (+ (* 1/6 re) 1/2) (sin im))
2.0ms	im	@	-inf	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) re) 1) re) 1) (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) re) 1) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (+ (* 1/2 re) 1) re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (* (+ (* 1/6 re) 1/2) re) re) (+ (* 1/36 (* re re)) -1/4) (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) (+ (* 1/6 re) -1/2) (+ (* 1/6 re) 1/2) (sin im))
2.0ms	im	@	inf	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) re) 1) re) 1) (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) re) 1) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (+ (* 1/2 re) 1) re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (* (+ (* 1/6 re) 1/2) re) re) (+ (* 1/36 (* re re)) -1/4) (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) (+ (* 1/6 re) -1/2) (+ (* 1/6 re) 1/2) (sin im))

simplify233.0ms (2.1%)

Memory

7.8MiB live, 167.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	690
1	658	662
2	2065	628
3	4796	614
0	8627	532

Stop Event

1×	iter limit
1×	node limit

Counts

71 → 69

Calls

Call 1

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

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

rewrite248.0ms (2.2%)

Memory

-27.0MiB live, 221.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	383
0	86	383
1	279	383
2	1855	383
0	8533	371

Stop Event

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

Counts

24 → 383

Calls

Call 1

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

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

eval112.0ms (1%)

Memory: 13.3MiB live, 129.4MiB allocated
Compiler: Compiled 19 985 to 2 532 computations (87.3% saved)

prune30.0ms (0.3%)

Memory

-12.2MiB live, 61.9MiB allocated

Pruning

28 alts after pruning (14 fresh and 14 done)

	Pruned	Kept	Total
New	471	7	478
Fresh	1	7	8
Picked	0	5	5
Done	0	9	9
Total	472	28	500

Accuracy

100.0%

Counts

500 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
✓	65.7%	(*.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))
✓	65.5%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 #s(approx (+ ( 1/36 (* re re)) -1/4) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (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))
	47.8%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 #s(approx (+ ( 1/36 (* re re)) -1/4) #s(literal -1/4 binary64)) (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))
✓	62.4%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
✓	48.6%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
	32.7%	(*.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)))
	21.1%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 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))
✓	21.2%	(.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))
✓	17.9%	(.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))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
	16.9%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) #s(approx (* (* (+ (* 1/6 re) 1/2) re) re) (.f64 (.f64 re re) #s(literal 1/2 binary64))))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
✓	17.9%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) (sin.f64 im))
✓	18.0%	(.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))
	61.8%	#s(approx (* (exp re) (sin im)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
✓	73.8%	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
	17.0%	#s(approx (* (exp re) (sin 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))) im))
✓	28.1%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
✓	48.1%	#s(approx (* (exp re) (sin im)) (sin.f64 im))
	36.9%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im)))
✓	42.4%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
	42.4%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (.f64 im (fma.f64 (/.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im)))
	42.4%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (.f64 im (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64))))) re #s(literal 1 binary64))) re im)))
✓	30.5%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
	30.4%	#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)))))
	18.0%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im))))
	17.1%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))))
	6.3%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
	31.9%	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))

Compiler

Compiled 1 423 to 632 computations (55.6% saved)

regimes50.0ms (0.5%)

Memory

11.2MiB live, 97.7MiB allocated

Counts

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

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

Calls

5 calls:

12.0ms	im
10.0ms	(sin.f64 im)
9.0ms	re
8.0ms	(exp.f64 re)
8.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

Results

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

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes95.0ms (0.9%)

Memory

8.1MiB live, 85.3MiB allocated

Counts

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

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

Calls

5 calls:

37.0ms	(sin.f64 im)
32.0ms	im
9.0ms	re
8.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
7.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
97.7%	4	`re`
82.9%	2	`im`
97.8%	4	`(*.f64 (exp.f64 re) (sin.f64 im))`
94.0%	2	`(exp.f64 re)`
84.5%	3	`(sin.f64 im)`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes37.0ms (0.3%)

Memory

-18.7MiB live, 18.3MiB allocated

Counts

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

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

Calls

1 calls:

36.0ms

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

Results

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

Compiler

Compiled 5 to 5 computations (0% saved)

regimes15.0ms (0.1%)

Memory

23.9MiB live, 23.9MiB allocated

Counts

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

Calls

2 calls:

7.0ms	re
6.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

Results

Accuracy	Segments	Branch
97.7%	4	`re`
98.9%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes53.0ms (0.5%)

Memory

-6.3MiB live, 45.9MiB allocated

Counts

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

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

3 calls:

42.0ms	re
5.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
5.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
93.8%	3	`(exp.f64 re)`
98.6%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`
96.2%	4	`re`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes9.0ms (0.1%)

Memory

-18.7MiB live, 17.6MiB allocated

Counts

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

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

Calls

1 calls:

5.0ms

(*.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)

regimes12.0ms (0.1%)

Memory

-12.5MiB live, 26.0MiB allocated

Counts

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.2%	4	`re`
97.8%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes10.0ms (0.1%)

Memory

20.4MiB live, 20.4MiB allocated

Counts

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.8%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`
93.8%	3	`re`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes5.0ms (0%)

Memory

11.6MiB live, 11.6MiB 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)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) (.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))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (.f64 im (fma.f64 (/.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (.f64 im (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64))))) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))

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

4.0ms

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

Results

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

Compiler

Compiled 5 to 5 computations (0% saved)

regimes43.0ms (0.4%)

Memory

-21.1MiB live, 18.2MiB allocated

Counts

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

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

Calls

3 calls:

34.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
5.0ms	re
3.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
93.5%	3	`(exp.f64 re)`
93.5%	3	`re`
93.8%	4	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes24.0ms (0.2%)

Memory

0.9MiB live, 45.7MiB allocated

Counts

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

Outputs

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

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

Calls

5 calls:

6.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
4.0ms	re
4.0ms	(sin.f64 im)
4.0ms	im
3.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
58.0%	2	`im`
59.0%	3	`(sin.f64 im)`
62.7%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`
62.5%	2	`(exp.f64 re)`
62.5%	2	`re`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes37.0ms (0.3%)

Memory

-4.2MiB live, 35.2MiB allocated

Counts

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

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

Calls

5 calls:

21.0ms	im
4.0ms	(sin.f64 im)
4.0ms	re
4.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
3.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
42.4%	1	`(sin.f64 im)`
42.4%	1	`im`
42.4%	1	`(exp.f64 re)`
42.4%	1	`re`
42.4%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes26.0ms (0.2%)

Memory

-6.5MiB live, 32.1MiB allocated

Counts

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

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

Calls

5 calls:

14.0ms	re
3.0ms	(sin.f64 im)
3.0ms	im
3.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
2.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
41.3%	1	`re`
41.3%	1	`(exp.f64 re)`
41.3%	1	`(sin.f64 im)`
41.3%	1	`im`
41.3%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes11.0ms (0.1%)

Memory

32.1MiB live, 32.1MiB 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)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) (.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))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im)))

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
36.9%	1	`(sin.f64 im)`
41.4%	2	`re`
41.4%	2	`(exp.f64 re)`
41.5%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`
36.9%	1	`im`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes11.0ms (0.1%)

Memory

-12.7MiB live, 24.4MiB 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)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))

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

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

Calls

5 calls:

4.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
2.0ms	(sin.f64 im)
2.0ms	re
2.0ms	im
1.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
30.5%	1	`(sin.f64 im)`
30.5%	1	`im`
30.5%	1	`re`
30.5%	1	`(exp.f64 re)`
30.5%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes10.0ms (0.1%)

Memory

-21.7MiB live, 20.3MiB allocated

Counts

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
30.8%	2	`im`
30.6%	2	`re`
30.6%	2	`(exp.f64 re)`
30.4%	2	`(sin.f64 im)`
30.6%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes6.0ms (0.1%)

Memory

23.5MiB live, 23.5MiB 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	(sin.f64 im)
1.0ms	re
1.0ms	im
1.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
6.3%	1	`(sin.f64 im)`
6.3%	1	`re`
6.3%	1	`(exp.f64 re)`
6.3%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`
6.3%	1	`im`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.9948121918835139	+inf
0.0ms	8.540275792646812e-48	1.0216432343140123e-47
0.0ms	-0.0024285815453466953	0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.9948121918835139	+inf
0.0ms	8.540275792646812e-48	1.0216432343140123e-47
0.0ms	-0.0024285815453466953	0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch70.0ms (0.6%)

Memory

1.0MiB live, 78.2MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	2.760475567511108e+98	2.4812318962377618e+110
36.0ms	411457.5178222799	99997909213122.66
16.0ms	-0.000112611441497508	-2.2691436020464933e-11

Samples

49.0ms

448×

valid

Compiler

Compiled 802 to 680 computations (15.2% saved)

Precisions

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

ival-sin: 31.0ms (80.3% of total)

ival-exp: 4.0ms (10.4% of total)

ival-mult: 3.0ms (7.8% of total)

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

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

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9948121918835139	+inf
0.0ms	8.540275792646812e-48	1.0216432343140123e-47
0.0ms	-0.0024285815453466953	0.0
0.0ms	-inf	-10917562464.17445

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9948121918835139	+inf
0.0ms	8.540275792646812e-48	1.0216432343140123e-47
0.0ms	-0.0024285815453466953	0.0
0.0ms	-inf	-10917562464.17445

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch38.0ms (0.3%)

Memory

-8.9MiB live, 29.8MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
8.0ms	3.841500997395592e+131	9.612595517239425e+131
1.0ms	411457.5178222799	99997909213122.66
28.0ms	-0.000112611441497508	-2.2691436020464933e-11

Samples

9.0ms

160×

valid

Compiler

Compiled 505 to 464 computations (8.1% saved)

Precisions

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

ival-sin: 3.0ms (50.5% of total)

ival-exp: 1.0ms (16.8% of total)

ival-mult: 1.0ms (16.8% of total)

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

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

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9948121918835139	+inf
0.0ms	8.540275792646812e-48	1.0216432343140123e-47
0.0ms	-0.0024285815453466953	0.0
0.0ms	-inf	-10917562464.17445

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9948121918835139	+inf
0.0ms	8.540275792646812e-48	1.0216432343140123e-47
0.0ms	-0.0024285815453466953	0.0
0.0ms	-inf	-10917562464.17445

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch17.0ms (0.2%)

Memory

-18.0MiB live, 23.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	411457.5178222799	99997909213122.66
15.0ms	-2.2691436020464933e-11	-7.922357637749756e-13

Samples

11.0ms

112×

valid

Compiler

Compiled 296 to 282 computations (4.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-exp: 5.0ms (60.3% of total)

ival-sin: 2.0ms (24.1% of total)

ival-mult: 1.0ms (12.1% of total)

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

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

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9948121918835139	+inf

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.8819167196414179	0.9152653889703427

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch10.0ms (0.1%)

Memory

25.1MiB live, 25.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.262798238912419e+47	6.374755168901958e+47

Samples

6.0ms

80×

valid

Compiler

Compiled 168 to 125 computations (25.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sin: 3.0ms (73.3% of total)

ival-exp: 1.0ms (24.4% of total)

ival-mult: 1.0ms (24.4% of total)

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

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

simplify36.0ms (0.3%)

Memory

-21.2MiB live, 53.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	144	817
1	180	810
2	231	810
3	424	810
4	874	810
5	1557	810
6	1680	810
7	1680	810

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -1152921504606847/576460752303423488 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 #s(approx (+ (* 1/36 (* re re)) -1/4) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (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 4113761393303015/411376139330301510538742295639337626245683966408394965837152256 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -1152921504606847/576460752303423488 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4113761393303015/411376139330301510538742295639337626245683966408394965837152256 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)))))
(if (<=.f64 re #s(literal -8116567392432203/73786976294838206464 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 re #s(literal 420000 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 re #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (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)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -1152921504606847/576460752303423488 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4113761393303015/411376139330301510538742295639337626245683966408394965837152256 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -1152921504606847/576460752303423488 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4113761393303015/411376139330301510538742295639337626245683966408394965837152256 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 re #s(literal -3910709743626425/147573952589676412928 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 re #s(literal 420000 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 re #s(literal 950000000000000014929292750079900262869702467569528949432731177471053694851295696938423850185540858699681893447987868072716783321088 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 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)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -1152921504606847/576460752303423488 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4113761393303015/411376139330301510538742295639337626245683966408394965837152256 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #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))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -1152921504606847/576460752303423488 binary64)) #s(approx ( (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4113761393303015/411376139330301510538742295639337626245683966408394965837152256 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 re #s(literal -870426590122533/38685626227668133590597632 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 re #s(literal 420000 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 1 binary64)) #s(approx ( (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 8106479329266893/9007199254740992 binary64)) #s(approx ( (exp re) (sin im)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx ( (exp re) (sin 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))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
(if (<=.f64 im #s(literal 360000000000000007671539654766762878089356640256 binary64)) #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))

Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -1152921504606847/576460752303423488 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 #s(approx (+ (* 1/36 (* re re)) -1/4) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (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 4113761393303015/411376139330301510538742295639337626245683966408394965837152256 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -1152921504606847/576460752303423488 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 #s(approx (+ (* 1/36 (* re re)) -1/4) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (if (or (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4113761393303015/411376139330301510538742295639337626245683966408394965837152256 binary64)) (not (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)))) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) #s(approx ( (exp re) (sin im)) (sin.f64 im))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -1152921504606847/576460752303423488 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4113761393303015/411376139330301510538742295639337626245683966408394965837152256 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -1152921504606847/576460752303423488 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (if (or (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4113761393303015/411376139330301510538742295639337626245683966408394965837152256 binary64)) (not (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)))) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) #s(approx ( (exp re) (sin im)) (sin.f64 im))))
(if (<=.f64 re #s(literal -8116567392432203/73786976294838206464 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 re #s(literal 420000 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 re #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (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)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -1152921504606847/576460752303423488 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4113761393303015/411376139330301510538742295639337626245683966408394965837152256 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -1152921504606847/576460752303423488 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (if (or (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4113761393303015/411376139330301510538742295639337626245683966408394965837152256 binary64)) (not (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)))) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) #s(approx ( (exp re) (sin im)) (sin.f64 im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -1152921504606847/576460752303423488 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4113761393303015/411376139330301510538742295639337626245683966408394965837152256 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -1152921504606847/576460752303423488 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (or (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4113761393303015/411376139330301510538742295639337626245683966408394965837152256 binary64)) (not (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)))) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) #s(approx ( (exp re) (sin im)) (sin.f64 im)))))
(if (<=.f64 re #s(literal -3910709743626425/147573952589676412928 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 re #s(literal 420000 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 re #s(literal 950000000000000014929292750079900262869702467569528949432731177471053694851295696938423850185540858699681893447987868072716783321088 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 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)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -1152921504606847/576460752303423488 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4113761393303015/411376139330301510538742295639337626245683966408394965837152256 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #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))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -1152921504606847/576460752303423488 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (or (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4113761393303015/411376139330301510538742295639337626245683966408394965837152256 binary64)) (not (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)))) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) #s(approx ( (exp re) (sin im)) (sin.f64 im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -1152921504606847/576460752303423488 binary64)) #s(approx ( (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4113761393303015/411376139330301510538742295639337626245683966408394965837152256 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #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))) (if (or (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -1152921504606847/576460752303423488 binary64)) (not (or (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4113761393303015/411376139330301510538742295639337626245683966408394965837152256 binary64)) (not (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)))))) #s(approx ( (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))
(if (<=.f64 re #s(literal -870426590122533/38685626227668133590597632 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 re #s(literal 420000 binary64)) #s(approx ( (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))
(if (or (<=.f64 re #s(literal -870426590122533/38685626227668133590597632 binary64)) (not (<=.f64 re #s(literal 420000 binary64)))) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) #s(approx ( (exp re) (sin im)) (sin.f64 im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx ( (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 8106479329266893/9007199254740992 binary64)) #s(approx ( (exp re) (sin im)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx ( (exp re) (sin 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))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
(if (<=.f64 im #s(literal 360000000000000007671539654766762878089356640256 binary64)) #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))

soundness1.9s (17.1%)

Memory

4.5MiB live, 1 103.3MiB 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	5924	163
0	8211	141
0	125	381
1	406	366
2	1114	344
3	3932	338
4	7432	338
0	8144	287
0	25	128
0	43	128
1	128	128
2	826	128
0	8371	128
0	201	690
1	658	662
2	2065	628
3	4796	614
0	8627	532
0	139	427
1	446	414
2	1228	392
3	4313	386
0	8002	328

Stop Event

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

Compiler

Compiled 1 061 to 414 computations (61% saved)

preprocess206.0ms (1.9%)

Memory: 7.2MiB live, 161.4MiB allocated
Remove: (negabs im)
Compiler: Compiled 1 650 to 334 computations (79.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

start0.0ms (0%)

analyze0.0ms (0%)

sample842.0ms (7.6%)

explain66.0ms (0.6%)

preprocess23.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0%)

localize46.0ms (0.4%)

series3.0ms (0%)

simplify173.0ms (1.6%)

rewrite34.0ms (0.3%)

eval2.0ms (0%)

prune5.0ms (0%)

simplify26.0ms (0.2%)

localize3.9s (35.7%)

series12.0ms (0.1%)

simplify168.0ms (1.5%)

rewrite343.0ms (3.1%)

eval173.0ms (1.6%)

prune79.0ms (0.7%)

simplify65.0ms (0.6%)

localize147.0ms (1.3%)

series48.0ms (0.4%)

simplify201.0ms (1.8%)

rewrite466.0ms (4.2%)

eval195.0ms (1.8%)

prune126.0ms (1.1%)

simplify33.0ms (0.3%)

localize373.0ms (3.4%)

series91.0ms (0.8%)

simplify233.0ms (2.1%)

rewrite248.0ms (2.2%)

eval112.0ms (1%)

prune30.0ms (0.3%)

regimes50.0ms (0.5%)

regimes95.0ms (0.9%)

regimes37.0ms (0.3%)

regimes15.0ms (0.1%)

regimes53.0ms (0.5%)

regimes9.0ms (0.1%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

regimes5.0ms (0%)

regimes43.0ms (0.4%)

regimes24.0ms (0.2%)

regimes37.0ms (0.3%)

regimes26.0ms (0.2%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch70.0ms (0.6%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch38.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch17.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch10.0ms (0.1%)

simplify36.0ms (0.3%)

soundness1.9s (17.1%)

preprocess206.0ms (1.9%)

end0.0ms (0%)

Profiling

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