Metrics for math.exp on complex, imaginary part

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample926.0ms (5.3%)

Memory

24.2MiB live, 1 303.7MiB allocated

Samples

678.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 467.0ms

ival-sin: 290.0ms (62.1% of total)

ival-exp: 114.0ms (24.4% of total)

ival-mult: 54.0ms (11.6% of total)

ival-true: 7.0ms (1.5% of total)

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

Bogosity

preprocess29.0ms (0.2%)

Memory

-31.9MiB live, 47.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs im)

explain69.0ms (0.4%)

Memory

16.2MiB live, 166.5MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

37.0ms

512×

valid

Compiler

Compiled 40 to 24 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-sin: 17.0ms (68.5% of total)

ival-exp: 4.0ms (16.1% of total)

ival-mult: 3.0ms (12.1% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (0%)

Memory

10.5MiB live, 10.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize26.0ms (0.1%)

Memory

-10.7MiB live, 63.4MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

18.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sin: 8.0ms (68.8% of total)

ival-exp: 2.0ms (17.2% of total)

ival-mult: 2.0ms (17.2% of total)

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

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

series4.0ms (0%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

3 → 48

Calls

Call 1

Inputs
#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())
#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())
#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())

Inputs

#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())

#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())

#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())

Outputs
#s(alt (sin im) (taylor 0 re) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) (taylor 0 re) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) (taylor 0 re) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor 0 im) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) (taylor 0 im) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) (taylor 0 im) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) (taylor 0 im) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (+ 1 re) (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt im (taylor 0 im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (* -1/6 (pow im 2)))) (taylor 0 im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))) (taylor 0 im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) (taylor 0 im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())

Calls

12 calls:

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

rewrite22.0ms (0.1%)

Memory

4.6MiB live, 42.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Counts

3 → 4

Calls

Call 1

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

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

simplify477.0ms (2.7%)

Memory

31.7MiB live, 803.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

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

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

eval6.0ms (0%)

Memory: -22.3MiB live, 17.1MiB allocated
Compiler: Compiled 346 to 47 computations (86.4% saved)

prune7.0ms (0%)

Memory

25.2MiB live, 25.2MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	45	6	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	7	52

Accuracy

100.0%

Counts

52 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.5%	(*.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
▶	68.1%	(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
▶	53.4%	(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
	57.1%	(.f64 (exp.f64 re) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
▶	65.1%	(*.f64 im (exp.f64 re))
▶	52.4%	(sin.f64 im)

Compiler

Compiled 123 to 83 computations (32.5% saved)

simplify36.0ms (0.2%)

Memory

4.7MiB live, 83.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

1 392×	`lower-fma.f32`
1 382×	`lower-fma.f64`
510×	`lower-*.f32`
502×	`lower-*.f64`
370×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	93
0	34	93
1	66	93
2	131	93
3	274	93
4	493	93
5	871	93
6	973	93
0	973	93

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize77.0ms (0.4%)

Memory

-0.2MiB live, 199.0MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(sin.f64 im)
✓	accuracy	93.7%	(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
✓	accuracy	100.0%	(+.f64 re #s(literal 1 binary64))
✓	accuracy	100.0%	(sin.f64 im)
✓	accuracy	99.9%	(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
✓	accuracy	100.0%	(exp.f64 re)
✓	accuracy	100.0%	(*.f64 im (exp.f64 re))
✓	accuracy	100.0%	(sin.f64 im)
✓	accuracy	100.0%	(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	99.7%	(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	96.5%	(*.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))

Samples

50.0ms

256×

valid

Compiler

Compiled 109 to 24 computations (78% saved)

Precisions

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

ival-mult: 15.0ms (43% of total)

ival-add: 7.0ms (20.1% of total)

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

const: 4.0ms (11.5% of total)

ival-exp: 2.0ms (5.7% of total)

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

exact: 0.0ms (0% of total)

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

series90.0ms (0.5%)

Memory

-4.2MiB live, 33.7MiB allocated

Counts

12 → 192

Calls

Call 1

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

Outputs
#s(alt (sin im) (taylor 0 re) (#s(alt (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (patch (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (patch (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) (taylor 0 re) (#s(alt (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (patch (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) (taylor 0 re) (#s(alt (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (patch (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow re 3) (sin im))) (taylor inf re) (#s(alt (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (patch (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 3) (+ (* 1/6 (sin im)) (* 1/2 (/ (sin im) re)))) (taylor inf re) (#s(alt (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (patch (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 3) (+ (* 1/6 (sin im)) (+ (* 1/2 (/ (sin im) re)) (/ (sin im) (pow re 2))))) (taylor inf re) (#s(alt (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (patch (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 3) (+ (* 1/6 (sin im)) (+ (* 1/2 (/ (sin im) re)) (+ (/ (sin im) (pow re 2)) (/ (sin im) (pow re 3)))))) (taylor inf re) (#s(alt (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (patch (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow re 3) (sin im))) (taylor -inf re) (#s(alt (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (patch (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow re 3) (+ (* -1/2 (/ (sin im) re)) (* -1/6 (sin im))))) (taylor -inf re) (#s(alt (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (patch (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 (sin im)) (/ (sin im) re)) re)) (* -1/6 (sin im))))) (taylor -inf re) (#s(alt (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (patch (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (sin im)) (* -1 (/ (sin im) re))) re)) (* 1/2 (sin im))) re)) (* -1/6 (sin im))))) (taylor -inf re) (#s(alt (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (patch (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (taylor 0 im) (#s(alt (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (patch (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (+ (* -1/6 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (taylor 0 im) (#s(alt (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (patch (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (+ (* -1/6 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (* 1/120 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))))))) (taylor 0 im) (#s(alt (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (patch (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (+ (* -1/6 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* 1/120 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))))))))) (taylor 0 im) (#s(alt (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (patch (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (sin im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (taylor inf im) (#s(alt (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (patch (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (sin im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (taylor inf im) (#s(alt (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (patch (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (sin im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (taylor inf im) (#s(alt (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (patch (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) #<representation binary64>) () ())) ())
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#s(alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) (taylor inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) (taylor inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow re 2)) (taylor -inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1/2 (/ 1 re))) (taylor -inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) (taylor -inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) (taylor -inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 re) (#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 re)) (taylor 0 re) (#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 re)) (taylor 0 re) (#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 re)) (taylor 0 re) (#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 re) (taylor inf re) (#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/2 (/ 1 re))) (taylor inf re) (#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/2 (/ 1 re))) (taylor inf re) (#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/2 (/ 1 re))) (taylor inf re) (#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 re) (taylor -inf re) (#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/2 (/ 1 re))) (taylor -inf re) (#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/2 (/ 1 re))) (taylor -inf re) (#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/2 (/ 1 re))) (taylor -inf re) (#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())

Calls

48 calls:

Time	Variable		Point	Expression
75.0ms	im	@	inf	(* im (exp re))
1.0ms	im	@	inf	(* (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (sin im))
1.0ms	re	@	-inf	(* (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (sin im))
1.0ms	im	@	inf	(* (+ (* re (+ (* re 1/2) 1)) 1) (sin im))
1.0ms	im	@	0	(* (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (sin im))

rewrite469.0ms (2.7%)

Memory

1.7MiB live, 706.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 900×	`lower-fma.f32`
8 890×	`lower-fma.f64`
5 262×	`lower-*.f32`
5 254×	`lower-*.f64`
4 100×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	72
0	34	72
1	132	72
2	1014	72
0	8638	72

Stop Event

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

Counts

12 → 513

Calls

Call 1

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

Outputs
(+.f64 (sin.f64 im) (.f64 (sin.f64 im) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re)))
(+.f64 (sin.f64 im) (.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (sin.f64 im)))
(+.f64 (.f64 (sin.f64 im) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re)) (sin.f64 im))
(+.f64 (.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (sin.f64 im)) (sin.f64 im))
(+.f64 (.f64 (sin.f64 im) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re))) (.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64))))
(+.f64 (.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)))) (.f64 (sin.f64 im) re))
(+.f64 (.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)) (sin.f64 im)) (.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re))) (sin.f64 im)) (.f64 re (sin.f64 im)))
(fma.f64 #s(literal 1 binary64) (sin.f64 im) (.f64 (sin.f64 im) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re)))
(fma.f64 #s(literal 1 binary64) (sin.f64 im) (.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (sin.f64 im)))
(fma.f64 (sin.f64 im) #s(literal 1 binary64) (.f64 (sin.f64 im) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re)))
(fma.f64 (sin.f64 im) #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (sin.f64 im)))
(fma.f64 (sin.f64 im) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (sin.f64 im))
(fma.f64 (sin.f64 im) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)) (*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64))))
(fma.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re))) (*.f64 (sin.f64 im) re))
(fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (sin.f64 im) (sin.f64 im))
(fma.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)) (sin.f64 im) (*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64))))
(fma.f64 (*.f64 (sin.f64 im) re) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sin.f64 im))
(fma.f64 (.f64 (sin.f64 im) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re)) #s(literal 1 binary64) (sin.f64 im))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re))) (sin.f64 im) (*.f64 re (sin.f64 im)))
(fma.f64 (*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) re (sin.f64 im))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re)) (.f64 (sin.f64 im) (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (sin.f64 im) (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re)) (.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re))) #s(literal 1 binary64)) (sin.f64 im))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (sin.f64 im))))
(/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (sin.f64 im) (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re))) #s(literal 1 binary64))) (-.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re)))
(/.f64 (.f64 (sin.f64 im) (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64))) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re))) #s(literal 1 binary64)) (sin.f64 im)) (-.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re)))
(/.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (sin.f64 im)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (sin.f64 im) (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re))) #s(literal 1 binary64)))) (neg.f64 (-.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re))))
(/.f64 (neg.f64 (.f64 (sin.f64 im) (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)))) (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 re) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re))) #s(literal 1 binary64)) (sin.f64 im))) (neg.f64 (-.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re))))
(/.f64 (neg.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (sin.f64 im))) (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 re) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 im) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re)) #s(literal 3 binary64))) (fma.f64 (sin.f64 im) (sin.f64 im) (-.f64 (.f64 (.f64 (sin.f64 im) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re)) (.f64 (sin.f64 im) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re))) (.f64 (sin.f64 im) (.f64 (sin.f64 im) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re))))))
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(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re #s(literal -1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (+.f64 #s(literal 1 binary64) (.f64 re #s(literal -1/2 binary64)))))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 re (.f64 re re)) #s(literal 1 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 re re)))))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 re re) #s(literal -1 binary64)) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 re (.f64 re re)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 re re))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 re re) #s(literal -1 binary64))) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 re (-.f64 (.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (.f64 re (.f64 re re)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 re #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 re re)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 re (.f64 re re)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 re re)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 re (.f64 re re)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 re (-.f64 (.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 re re) #s(literal -1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 re (.f64 re re)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 re re))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 re (.f64 re re)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 re (-.f64 (.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 re re) #s(literal -1 binary64))) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 re re))) (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/512 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) #s(literal 1 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 re (.f64 re re)))) (+.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 re re))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 re (.f64 re re)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 re re))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 re (.f64 re re)) re) #s(literal 1/16 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 re re)))) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 re (.f64 re re)) re) #s(literal 1/16 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 re (.f64 re re)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 re re)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 re re) #s(literal -1 binary64)))) (neg.f64 (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 re re)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (*.f64 re re)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))))) (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 re (.f64 re re)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 re re))))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 re (.f64 re re)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (-.f64 (*.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64))))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 re re) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 re (.f64 re re)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 re re)))))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 re re) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 re re))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re #s(literal -1/2 binary64)))))

simplify573.0ms (3.3%)

Memory

-51.0MiB live, 756.5MiB allocated

Algorithm

1×	egg-herbie

Rules

19 890×	`lower-fma.f64`
19 890×	`lower-fma.f32`
5 520×	`lower-+.f64`
5 520×	`lower-+.f32`
3 860×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	225	1762
1	819	1635
2	3002	1534
3	7535	1532
0	8039	1339

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 188

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

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

eval99.0ms (0.6%)

Memory: 21.9MiB live, 225.3MiB allocated
Compiler: Compiled 17 147 to 1 915 computations (88.8% saved)

prune175.0ms (1%)

Memory

-10.0MiB live, 304.8MiB allocated

Pruning

32 alts after pruning (26 fresh and 6 done)

	Pruned	Kept	Total
New	718	25	743
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	718	32	750

Accuracy

100.0%

Counts

750 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.6%	(fma.f64 (.f64 im im) (.f64 (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) im)
	34.5%	(fma.f64 (.f64 im im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) im) im)
	39.6%	(fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)
▶	32.1%	(fma.f64 im (fma.f64 (*.f64 im im) (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) re) im)
	38.8%	(fma.f64 im (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) im)
	30.7%	(fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im)
	32.5%	(fma.f64 im re im)
	67.6%	(/.f64 (*.f64 (fma.f64 re re #s(literal -1 binary64)) (sin.f64 im)) (+.f64 re #s(literal -1 binary64)))
▶	70.5%	(/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
	55.1%	(.f64 (fma.f64 (fma.f64 re (.f64 re re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re))) (sin.f64 im))
	70.5%	(.f64 (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (sin.f64 im))
	20.9%	(.f64 (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (sin.f64 im))
✓	70.5%	(*.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
▶	70.5%	(.f64 (fma.f64 re (fma.f64 re (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
	70.5%	(.f64 (fma.f64 re (fma.f64 re (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 re (.f64 #s(literal 1/36 binary64) re))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
	70.5%	(.f64 (fma.f64 re (fma.f64 re (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (/.f64 (.f64 re (.f64 #s(literal 1/36 binary64) re)) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
	38.1%	(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
✓	68.1%	(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
	18.7%	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 re re) re) (sin.f64 im))
	56.8%	(.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (sin.f64 im))
✓	53.4%	(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
	56.8%	(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) #s(literal -1 binary64)) (sin.f64 im)) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
	21.1%	(.f64 (.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sin.f64 im))
▶	18.9%	(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 re re)) (sin.f64 im))
	4.5%	(*.f64 (sin.f64 im) re)
	57.1%	(.f64 (exp.f64 re) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
	41.0%	(*.f64 im (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
	38.8%	(*.f64 im (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	65.1%	(*.f64 im (exp.f64 re))
▶	26.6%	(*.f64 im #s(literal 1 binary64))
✓	52.4%	(sin.f64 im)

Compiler

Compiled 924 to 542 computations (41.3% saved)

simplify307.0ms (1.7%)

Memory

13.9MiB live, 253.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (fma.f64 re (*.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
✓	cost-diff	0	(fma.f64 re (/.f64 (fma.f64 re (*.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 re (fma.f64 re (/.f64 (fma.f64 re (*.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 (fma.f64 re (fma.f64 re (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
✓	cost-diff	0	(sin.f64 im)
✓	cost-diff	0	(*.f64 re re)
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 re re))
✓	cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 re re)) (sin.f64 im))
✓	cost-diff	0	(fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))
✓	cost-diff	0	(*.f64 im im)
✓	cost-diff	0	(fma.f64 (*.f64 im im) (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) re)
✓	cost-diff	64	(fma.f64 im (fma.f64 (*.f64 im im) (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) re) im)
✓	cost-diff	320	(*.f64 im #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(sin.f64 im)
✓	cost-diff	1088	(/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))

Rules

5 394×	`lower-fma.f32`
5 374×	`lower-fma.f64`
2 286×	`lower-*.f32`
2 272×	`lower-*.f64`
1 280×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	196
0	60	194
1	126	192
2	326	192
3	846	191
4	1407	191
5	2014	191
6	2668	191
7	3692	191
8	3906	191
9	3965	191
10	3992	191
11	3992	191
12	4062	191
13	4550	191
14	4731	191
15	4731	191
16	4731	191
17	5284	191
18	5581	191
19	5643	191
20	5643	191
21	5643	191
22	5643	191
23	5857	191
0	5857	190

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize165.0ms (0.9%)

Memory

26.5MiB live, 290.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))
✓	accuracy	99.4%	(*.f64 #s(literal 1/36 binary64) re)
✓	accuracy	96.5%	(.f64 (fma.f64 re (fma.f64 re (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
✓	accuracy	75.1%	(/.f64 (fma.f64 re (*.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 re re)
✓	accuracy	100.0%	(sin.f64 im)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 re re))
✓	accuracy	93.6%	(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 re re)) (sin.f64 im))
✓	accuracy	100.0%	(*.f64 im im)
✓	accuracy	100.0%	(fma.f64 im (fma.f64 (*.f64 im im) (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) re) im)
✓	accuracy	99.8%	(fma.f64 (*.f64 im im) (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) re)
✓	accuracy	99.7%	(fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))
✓	accuracy	100.0%	(*.f64 im #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.7%	(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	96.7%	(/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))

Samples

118.0ms

256×

valid

Compiler

Compiled 231 to 41 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-add: 43.0ms (46.4% of total)

ival-mult: 25.0ms (27% of total)

const: 12.0ms (13% of total)

ival-sin: 7.0ms (7.6% of total)

ival-div: 5.0ms (5.4% of total)

exact: 1.0ms (1.1% of total)

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

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

series33.0ms (0.2%)

Memory

9.1MiB live, 81.9MiB allocated

Counts

20 → 300

Calls

Call 1

Inputs
#s(alt (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 im #s(literal 1 binary64)) (patch (.f64 im #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 im (fma.f64 (.f64 im im) (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) re) im) (patch (fma.f64 im (fma.f64 (.f64 im im) (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) re) im) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 im im) (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) re) (patch (fma.f64 (.f64 im im) (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) re) #<representation binary64>) () ())
#s(alt (.f64 im im) (patch (.f64 im im) #<representation binary64>) () ())
#s(alt (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (sin.f64 im)) (patch (.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (sin.f64 im)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) (.f64 re re)) (patch (.f64 #s(literal 1/2 binary64) (.f64 re re)) #<representation binary64>) () ())
#s(alt (.f64 re re) (patch (.f64 re re) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 re (fma.f64 re (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (patch (.f64 (fma.f64 re (fma.f64 re (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) #<representation binary64>) () ())
#s(alt (fma.f64 re (fma.f64 re (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 re (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 re (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/36 binary64) re) (patch (.f64 #s(literal 1/36 binary64) re) #<representation binary64>) () ())
#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (taylor 0 im) (#s(alt (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (+ (* -1/6 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (taylor 0 im) (#s(alt (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (+ (* -1/6 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (* 1/120 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))))))) (taylor 0 im) (#s(alt (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (+ (* -1/6 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* 1/120 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))))))))) (taylor 0 im) (#s(alt (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (sin im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (taylor inf im) (#s(alt (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (sin im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (taylor inf im) (#s(alt (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (sin im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (taylor inf im) (#s(alt (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (sin im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (taylor inf im) (#s(alt (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (sin im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (taylor -inf im) (#s(alt (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (sin im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (taylor -inf im) (#s(alt (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (sin im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (taylor -inf im) (#s(alt (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (sin im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (taylor -inf im) (#s(alt (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor 0 re) (#s(alt (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) (taylor 0 re) (#s(alt (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) (taylor 0 re) (#s(alt (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow re 3) (sin im))) (taylor inf re) (#s(alt (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* 1/6 (pow re 2)) (taylor -inf re) (#s(alt (fma.f64 re (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 re (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#s(alt (fma.f64 re (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 re (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) (taylor -inf re) (#s(alt (fma.f64 re (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 re (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) (taylor -inf re) (#s(alt (fma.f64 re (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 re (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 re) (#s(alt (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 re)) (taylor 0 re) (#s(alt (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 re)) (taylor 0 re) (#s(alt (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 re)) (taylor 0 re) (#s(alt (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 re) (taylor inf re) (#s(alt (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#s(alt (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#s(alt (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#s(alt (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 re) (taylor -inf re) (#s(alt (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#s(alt (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#s(alt (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#s(alt (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 re)) (taylor 0 re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 re)) (taylor 0 re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 re)) (taylor 0 re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 re) (taylor inf re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 re) (taylor -inf re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 re)) (taylor 0 re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1/2 (* 1/6 re)))) (taylor 0 re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1/2 (* 1/6 re)))) (taylor 0 re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow re 2)) (taylor inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) (taylor inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) (taylor inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow re 2)) (taylor -inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) (taylor -inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) (taylor -inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 re) (taylor 0 re) (#s(alt (.f64 #s(literal 1/36 binary64) re) (patch (.f64 #s(literal 1/36 binary64) re) #<representation binary64>) () ())) ())
#s(alt (* 1/36 re) (taylor 0 re) (#s(alt (.f64 #s(literal 1/36 binary64) re) (patch (.f64 #s(literal 1/36 binary64) re) #<representation binary64>) () ())) ())
#s(alt (* 1/36 re) (taylor 0 re) (#s(alt (.f64 #s(literal 1/36 binary64) re) (patch (.f64 #s(literal 1/36 binary64) re) #<representation binary64>) () ())) ())
#s(alt (* 1/36 re) (taylor 0 re) (#s(alt (.f64 #s(literal 1/36 binary64) re) (patch (.f64 #s(literal 1/36 binary64) re) #<representation binary64>) () ())) ())
#s(alt (* 1/36 re) (taylor inf re) (#s(alt (.f64 #s(literal 1/36 binary64) re) (patch (.f64 #s(literal 1/36 binary64) re) #<representation binary64>) () ())) ())
#s(alt (* 1/36 re) (taylor inf re) (#s(alt (.f64 #s(literal 1/36 binary64) re) (patch (.f64 #s(literal 1/36 binary64) re) #<representation binary64>) () ())) ())
#s(alt (* 1/36 re) (taylor inf re) (#s(alt (.f64 #s(literal 1/36 binary64) re) (patch (.f64 #s(literal 1/36 binary64) re) #<representation binary64>) () ())) ())
#s(alt (* 1/36 re) (taylor inf re) (#s(alt (.f64 #s(literal 1/36 binary64) re) (patch (.f64 #s(literal 1/36 binary64) re) #<representation binary64>) () ())) ())
#s(alt (* 1/36 re) (taylor -inf re) (#s(alt (.f64 #s(literal 1/36 binary64) re) (patch (.f64 #s(literal 1/36 binary64) re) #<representation binary64>) () ())) ())
#s(alt (* 1/36 re) (taylor -inf re) (#s(alt (.f64 #s(literal 1/36 binary64) re) (patch (.f64 #s(literal 1/36 binary64) re) #<representation binary64>) () ())) ())
#s(alt (* 1/36 re) (taylor -inf re) (#s(alt (.f64 #s(literal 1/36 binary64) re) (patch (.f64 #s(literal 1/36 binary64) re) #<representation binary64>) () ())) ())
#s(alt (* 1/36 re) (taylor -inf re) (#s(alt (.f64 #s(literal 1/36 binary64) re) (patch (.f64 #s(literal 1/36 binary64) re) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor 0 re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 re) 1/2) (taylor 0 re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 re) 1/2) (taylor 0 re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 re) 1/2) (taylor 0 re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 re) (taylor inf re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (- 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (- 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (- 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 re) (taylor -inf re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* re (- (* 1/2 (/ 1 re)) 1/6))) (taylor -inf re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* re (- (* 1/2 (/ 1 re)) 1/6))) (taylor -inf re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* re (- (* 1/2 (/ 1 re)) 1/6))) (taylor -inf re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())

Calls

75 calls:

Time	Variable		Point	Expression
3.0ms	im	@	inf	(* (+ (* re (+ (* re (/ (+ (* re (* 1/36 re)) -1/4) (+ (* re 1/6) -1/2))) 1)) 1) (sin im))
3.0ms	re	@	0	(+ (* im (+ (* (* im im) (+ (* re -1/6) -1/6)) re)) im)
3.0ms	re	@	inf	(/ 1 (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1))
1.0ms	im	@	-inf	(+ (* im (+ (* (* im im) (+ (* re -1/6) -1/6)) re)) im)
1.0ms	im	@	0	(* (+ (* re (+ (* re (/ (+ (* re (* 1/36 re)) -1/4) (+ (* re 1/6) -1/2))) 1)) 1) (sin im))

rewrite370.0ms (2.1%)

Memory

38.3MiB live, 795.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 674×	`lower-fma.f32`
5 658×	`lower-fma.f64`
4 170×	`lower-/.f32`
4 164×	`lower-/.f64`
3 642×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	166
0	60	166
1	267	134
2	2236	134
0	8136	134

Stop Event

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

Counts

20 → 750

Calls

Call 1

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

Outputs
(+.f64 (sin.f64 im) (.f64 (sin.f64 im) (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)))
(+.f64 (.f64 (sin.f64 im) (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)) (sin.f64 im))
(+.f64 (.f64 #s(literal 1 binary64) (sin.f64 im)) (.f64 (fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (sin.f64 im)))
(+.f64 (.f64 (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (sin.f64 im)) (*.f64 #s(literal 1 binary64) (sin.f64 im)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal -1 binary64) (.f64 (sin.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(fma.f64 (sin.f64 im) #s(literal 1 binary64) (.f64 (sin.f64 im) (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)))
(fma.f64 (sin.f64 im) (fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (sin.f64 im))
(fma.f64 #s(literal 1 binary64) (sin.f64 im) (.f64 (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (sin.f64 im)))
(fma.f64 (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (sin.f64 im) (.f64 #s(literal 1 binary64) (sin.f64 im)))
(neg.f64 (.f64 #s(literal -1 binary64) (.f64 (sin.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)) (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)) (.f64 (sin.f64 im) (fma.f64 (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (.f64 (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)) (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re))) (.f64 (sin.f64 im) (fma.f64 (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (.f64 (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (sin.f64 im) (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (sin.f64 im) (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)) (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)) (.f64 (fma.f64 (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (.f64 (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)) (sin.f64 im))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)) (sin.f64 im))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (sin.f64 im)) (/.f64 #s(literal -1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (sin.f64 im) (fma.f64 (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (.f64 (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)) #s(literal 1 binary64))) (-.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)) (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)))
(/.f64 (.f64 (sin.f64 im) (fma.f64 (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (.f64 (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)) #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)) (fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re))))
(/.f64 (.f64 (sin.f64 im) (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)) #s(literal -1 binary64))) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (sin.f64 im) (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)) #s(literal -1 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (.f64 (fma.f64 (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (.f64 (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)) (sin.f64 im)) (-.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)) (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)))
(/.f64 (.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)) (sin.f64 im)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (sin.f64 im) (fma.f64 (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (.f64 (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)) (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re))))
(/.f64 (neg.f64 (.f64 (sin.f64 im) (fma.f64 (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (.f64 (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)))) (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)) (fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)))))
(/.f64 (neg.f64 (.f64 (sin.f64 im) (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (sin.f64 im) (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)))) (neg.f64 (.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 im)))) (/.f64 #s(literal -1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (fma.f64 (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (.f64 (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)) (sin.f64 im))) (neg.f64 (-.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)) (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re))))
(/.f64 (neg.f64 (.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)) (sin.f64 im))) (neg.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 re (.f64 re #s(literal 1/36 binary64))) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 re (.f64 re #s(literal 1/36 binary64))) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (.f64 re (.f64 re #s(literal 1/36 binary64))) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 re (*.f64 re #s(literal 1/36 binary64))) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 #s(literal -1/216 binary64) (.f64 re (.f64 re re)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64)))))
(.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal 1/46656 binary64)) #s(literal -1/64 binary64)) (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal 1/16 binary64)) (.f64 re (.f64 (*.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal 1/46656 binary64)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal 1/16 binary64)) (.f64 re (.f64 (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))))) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal 1/46656 binary64)) #s(literal -1/64 binary64)) (neg.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal 1/16 binary64)) (.f64 re (.f64 (*.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal 1/46656 binary64)) #s(literal -1/64 binary64)) (fma.f64 #s(literal -1/216 binary64) (.f64 re (.f64 re re)) #s(literal 1/8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal 1/16 binary64)) (.f64 re (.f64 (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal 1/46656 binary64)) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal 1/16 binary64)) (.f64 re (.f64 (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))))) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal 1/46656 binary64)) #s(literal -1/64 binary64)) (/.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/216 binary64) (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal 1/16 binary64)) (.f64 re (.f64 (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))))) (-.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal 1/46656 binary64)) #s(literal -1/64 binary64)) (/.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal 1/16 binary64)) (.f64 re (.f64 (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))))) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) (neg.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) (fma.f64 #s(literal -1/216 binary64) (.f64 re (.f64 re re)) #s(literal 1/8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) (/.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/216 binary64) (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (-.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (.f64 re #s(literal -1/12 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) (/.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))

simplify658.0ms (3.7%)

Memory

-17.2MiB live, 998.1MiB allocated

Algorithm

1×	egg-herbie

Rules

17 546×	`lower-fma.f64`
17 546×	`lower-fma.f32`
5 818×	`lower-+.f64`
5 818×	`lower-+.f32`
4 592×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	316	3081
1	1056	2959
2	3789	2797
0	8267	2500

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 286

Calls

Call 1

Inputs
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* im (+ 1 (+ (* -1/6 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
(* im (+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (+ (* -1/6 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (* 1/120 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))))))))
(* im (+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (+ (* -1/6 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* 1/120 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))))))))
(* (sin im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* (sin im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* (sin im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* (sin im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* (sin im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* (sin im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* (sin im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* (sin im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(* 1/6 (* (pow re 3) (sin im)))
(* (pow re 3) (+ (* 1/6 (sin im)) (* 1/2 (/ (sin im) re))))
(* (pow re 3) (+ (* 1/6 (sin im)) (+ (* 1/2 (/ (sin im) re)) (/ (sin im) (pow re 2)))))
(* (pow re 3) (+ (* 1/6 (sin im)) (+ (* 1/2 (/ (sin im) re)) (+ (/ (sin im) (pow re 2)) (/ (sin im) (pow re 3))))))
(* 1/6 (* (pow re 3) (sin im)))
(* -1 (* (pow re 3) (+ (* -1/2 (/ (sin im) re)) (* -1/6 (sin im)))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 (sin im)) (/ (sin im) re)) re)) (* -1/6 (sin im)))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (sin im)) (* -1 (/ (sin im) re))) re)) (* 1/2 (sin im))) re)) (* -1/6 (sin im)))))
im
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
1
(+ 1 (* -1 re))
(+ 1 (* re (- (* 1/2 re) 1)))
(+ 1 (* re (- (* re (+ 1/2 (* -1/6 re))) 1)))
(/ 6 (pow re 3))
(/ (- 6 (* 18 (/ 1 re))) (pow re 3))
(/ (- (+ 6 (/ 18 (pow re 2))) (* 18 (/ 1 re))) (pow re 3))
(/ (- (+ 6 (+ (* 18 (/ 1 (pow re 3))) (/ 18 (pow re 2)))) (* 18 (/ 1 re))) (pow re 3))
(/ 6 (pow re 3))
(* -1 (/ (- (* 18 (/ 1 re)) 6) (pow re 3)))
(* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 re)) 18) re)) 6) (pow re 3)))
(* -1 (/ (- (* -1 (/ (- (+ (* 18 (/ 1 re)) (/ 18 (pow re 2))) 18) re)) 6) (pow re 3)))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
im
im
im
im
im
im
im
im
im
im
im
im
(* im (+ 1 re))
(* im (+ 1 (+ re (* (pow im 2) (- (* -1/6 re) 1/6)))))
(* im (+ 1 (+ re (* (pow im 2) (- (* -1/6 re) 1/6)))))
(* im (+ 1 (+ re (* (pow im 2) (- (* -1/6 re) 1/6)))))
(* (pow im 3) (- (* -1/6 re) 1/6))
(* (pow im 3) (- (+ (* -1/6 re) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))) 1/6))
(* (pow im 3) (- (+ (* -1/6 re) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))) 1/6))
(* (pow im 3) (- (+ (* -1/6 re) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))) 1/6))
(* (pow im 3) (- (* -1/6 re) 1/6))
(* -1 (* (pow im 3) (- (+ (* -1 (- (* -1/6 re) 1/6)) (* -1 (/ re (pow im 2)))) (/ 1 (pow im 2)))))
(* -1 (* (pow im 3) (- (+ (* -1 (- (* -1/6 re) 1/6)) (* -1 (/ re (pow im 2)))) (/ 1 (pow im 2)))))
(* -1 (* (pow im 3) (- (+ (* -1 (- (* -1/6 re) 1/6)) (* -1 (/ re (pow im 2)))) (/ 1 (pow im 2)))))
(+ im (* -1/6 (pow im 3)))
(+ im (+ (* -1/6 (pow im 3)) (* im (* re (+ 1 (* -1/6 (pow im 2)))))))
(+ im (+ (* -1/6 (pow im 3)) (* im (* re (+ 1 (* -1/6 (pow im 2)))))))
(+ im (+ (* -1/6 (pow im 3)) (* im (* re (+ 1 (* -1/6 (pow im 2)))))))
(* im (* re (+ 1 (* -1/6 (pow im 2)))))
(* re (+ (* -1/6 (/ (pow im 3) re)) (+ (* im (+ 1 (* -1/6 (pow im 2)))) (/ im re))))
(* re (+ (* -1/6 (/ (pow im 3) re)) (+ (* im (+ 1 (* -1/6 (pow im 2)))) (/ im re))))
(* re (+ (* -1/6 (/ (pow im 3) re)) (+ (* im (+ 1 (* -1/6 (pow im 2)))) (/ im re))))
(* -1 (* im (* re (- (* 1/6 (pow im 2)) 1))))
(* -1 (* re (+ (* -1 (/ (+ im (* -1/6 (pow im 3))) re)) (* im (- (* 1/6 (pow im 2)) 1)))))
(* -1 (* re (+ (* -1 (/ (+ im (* -1/6 (pow im 3))) re)) (* im (- (* 1/6 (pow im 2)) 1)))))
(* -1 (* re (+ (* -1 (/ (+ im (* -1/6 (pow im 3))) re)) (* im (- (* 1/6 (pow im 2)) 1)))))
re
(+ re (* (pow im 2) (- (* -1/6 re) 1/6)))
(+ re (* (pow im 2) (- (* -1/6 re) 1/6)))
(+ re (* (pow im 2) (- (* -1/6 re) 1/6)))
(* (pow im 2) (- (* -1/6 re) 1/6))
(* (pow im 2) (- (+ (* -1/6 re) (/ re (pow im 2))) 1/6))
(* (pow im 2) (- (+ (* -1/6 re) (/ re (pow im 2))) 1/6))
(* (pow im 2) (- (+ (* -1/6 re) (/ re (pow im 2))) 1/6))
(* (pow im 2) (- (* -1/6 re) 1/6))
(* (pow im 2) (- (+ (* -1/6 re) (/ re (pow im 2))) 1/6))
(* (pow im 2) (- (+ (* -1/6 re) (/ re (pow im 2))) 1/6))
(* (pow im 2) (- (+ (* -1/6 re) (/ re (pow im 2))) 1/6))
(* -1/6 (pow im 2))
(+ (* -1/6 (pow im 2)) (* re (+ 1 (* -1/6 (pow im 2)))))
(+ (* -1/6 (pow im 2)) (* re (+ 1 (* -1/6 (pow im 2)))))
(+ (* -1/6 (pow im 2)) (* re (+ 1 (* -1/6 (pow im 2)))))
(* re (+ 1 (* -1/6 (pow im 2))))
(* re (+ 1 (+ (* -1/6 (/ (pow im 2) re)) (* -1/6 (pow im 2)))))
(* re (+ 1 (+ (* -1/6 (/ (pow im 2) re)) (* -1/6 (pow im 2)))))
(* re (+ 1 (+ (* -1/6 (/ (pow im 2) re)) (* -1/6 (pow im 2)))))
(* -1 (* re (- (* 1/6 (pow im 2)) 1)))
(* -1 (* re (- (+ (* 1/6 (/ (pow im 2) re)) (* 1/6 (pow im 2))) 1)))
(* -1 (* re (- (+ (* 1/6 (/ (pow im 2) re)) (* 1/6 (pow im 2))) 1)))
(* -1 (* re (- (+ (* 1/6 (/ (pow im 2) re)) (* 1/6 (pow im 2))) 1)))
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
-1/6
(- (* -1/6 re) 1/6)
(- (* -1/6 re) 1/6)
(- (* -1/6 re) 1/6)
(* -1/6 re)
(* -1 (* re (+ 1/6 (* 1/6 (/ 1 re)))))
(* -1 (* re (+ 1/6 (* 1/6 (/ 1 re)))))
(* -1 (* re (+ 1/6 (* 1/6 (/ 1 re)))))
(* -1/6 re)
(* -1 (* re (+ 1/6 (* 1/6 (/ 1 re)))))
(* -1 (* re (+ 1/6 (* 1/6 (/ 1 re)))))
(* -1 (* re (+ 1/6 (* 1/6 (/ 1 re)))))
(* 1/2 (* (pow re 2) (sin im)))
(* 1/2 (* (pow re 2) (sin im)))
(* 1/2 (* (pow re 2) (sin im)))
(* 1/2 (* (pow re 2) (sin im)))
(* 1/2 (* (pow re 2) (sin im)))
(* 1/2 (* (pow re 2) (sin im)))
(* 1/2 (* (pow re 2) (sin im)))
(* 1/2 (* (pow re 2) (sin im)))
(* 1/2 (* (pow re 2) (sin im)))
(* 1/2 (* (pow re 2) (sin im)))
(* 1/2 (* (pow re 2) (sin im)))
(* 1/2 (* (pow re 2) (sin im)))
(* 1/2 (* im (pow re 2)))
(* im (+ (* -1/12 (* (pow im 2) (pow re 2))) (* 1/2 (pow re 2))))
(* im (+ (* 1/2 (pow re 2)) (* (pow im 2) (+ (* -1/12 (pow re 2)) (* 1/240 (* (pow im 2) (pow re 2)))))))
(* im (+ (* 1/2 (pow re 2)) (* (pow im 2) (+ (* -1/12 (pow re 2)) (* (pow im 2) (+ (* -1/10080 (* (pow im 2) (pow re 2))) (* 1/240 (pow re 2))))))))
(* 1/2 (* (pow re 2) (sin im)))
(* 1/2 (* (pow re 2) (sin im)))
(* 1/2 (* (pow re 2) (sin im)))
(* 1/2 (* (pow re 2) (sin im)))
(* 1/2 (* (pow re 2) (sin im)))
(* 1/2 (* (pow re 2) (sin im)))
(* 1/2 (* (pow re 2) (sin im)))
(* 1/2 (* (pow re 2) (sin im)))
(* 1/2 (pow re 2))
(* 1/2 (pow re 2))
(* 1/2 (pow re 2))
(* 1/2 (pow re 2))
(* 1/2 (pow re 2))
(* 1/2 (pow re 2))
(* 1/2 (pow re 2))
(* 1/2 (pow re 2))
(* 1/2 (pow re 2))
(* 1/2 (pow re 2))
(* 1/2 (pow re 2))
(* 1/2 (pow re 2))
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(* 1/6 (* (pow re 3) (sin im)))
(* (pow re 3) (+ (* 1/6 (sin im)) (* 1/2 (/ (sin im) re))))
(* (pow re 3) (+ (* 1/6 (sin im)) (+ (* 1/2 (/ (sin im) re)) (/ (sin im) (pow re 2)))))
(* (pow re 3) (+ (* 1/6 (sin im)) (+ (* 1/2 (/ (sin im) re)) (+ (/ (sin im) (pow re 2)) (/ (sin im) (pow re 3))))))
(* 1/6 (* (pow re 3) (sin im)))
(* -1 (* (pow re 3) (+ (* -1/2 (/ (sin im) re)) (* -1/6 (sin im)))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 (sin im)) (/ (sin im) re)) re)) (* -1/6 (sin im)))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (sin im)) (* -1 (/ (sin im) re))) re)) (* 1/2 (sin im))) re)) (* -1/6 (sin im)))))
(* im (+ 1 (* re (+ 1 (/ (* re (- (* 1/36 (pow re 2)) 1/4)) (- (* 1/6 re) 1/2))))))
(* im (+ 1 (+ (* -1/6 (* (pow im 2) (+ 1 (* re (+ 1 (/ (* re (- (* 1/36 (pow re 2)) 1/4)) (- (* 1/6 re) 1/2))))))) (* re (+ 1 (/ (* re (- (* 1/36 (pow re 2)) 1/4)) (- (* 1/6 re) 1/2)))))))
(* im (+ 1 (+ (* re (+ 1 (/ (* re (- (* 1/36 (pow re 2)) 1/4)) (- (* 1/6 re) 1/2)))) (* (pow im 2) (+ (* -1/6 (+ 1 (* re (+ 1 (/ (* re (- (* 1/36 (pow re 2)) 1/4)) (- (* 1/6 re) 1/2)))))) (* 1/120 (* (pow im 2) (+ 1 (* re (+ 1 (/ (* re (- (* 1/36 (pow re 2)) 1/4)) (- (* 1/6 re) 1/2))))))))))))
(* im (+ 1 (+ (* re (+ 1 (/ (* re (- (* 1/36 (pow re 2)) 1/4)) (- (* 1/6 re) 1/2)))) (* (pow im 2) (+ (* -1/6 (+ 1 (* re (+ 1 (/ (* re (- (* 1/36 (pow re 2)) 1/4)) (- (* 1/6 re) 1/2)))))) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (+ 1 (* re (+ 1 (/ (* re (- (* 1/36 (pow re 2)) 1/4)) (- (* 1/6 re) 1/2))))))) (* 1/120 (+ 1 (* re (+ 1 (/ (* re (- (* 1/36 (pow re 2)) 1/4)) (- (* 1/6 re) 1/2)))))))))))))
(* (sin im) (+ 1 (* re (+ 1 (/ (* re (- (* 1/36 (pow re 2)) 1/4)) (- (* 1/6 re) 1/2))))))
(* (sin im) (+ 1 (* re (+ 1 (/ (* re (- (* 1/36 (pow re 2)) 1/4)) (- (* 1/6 re) 1/2))))))
(* (sin im) (+ 1 (* re (+ 1 (/ (* re (- (* 1/36 (pow re 2)) 1/4)) (- (* 1/6 re) 1/2))))))
(* (sin im) (+ 1 (* re (+ 1 (/ (* re (- (* 1/36 (pow re 2)) 1/4)) (- (* 1/6 re) 1/2))))))
(* (sin im) (+ 1 (* re (+ 1 (/ (* re (- (* 1/36 (pow re 2)) 1/4)) (- (* 1/6 re) 1/2))))))
(* (sin im) (+ 1 (* re (+ 1 (/ (* re (- (* 1/36 (pow re 2)) 1/4)) (- (* 1/6 re) 1/2))))))
(* (sin im) (+ 1 (* re (+ 1 (/ (* re (- (* 1/36 (pow re 2)) 1/4)) (- (* 1/6 re) 1/2))))))
(* (sin im) (+ 1 (* re (+ 1 (/ (* re (- (* 1/36 (pow re 2)) 1/4)) (- (* 1/6 re) 1/2))))))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
1
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
1/2
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
1/2
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
1
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* 1/36 re)
(* 1/36 re)
(* 1/36 re)
(* 1/36 re)
(* 1/36 re)
(* 1/36 re)
(* 1/36 re)
(* 1/36 re)
(* 1/36 re)
(* 1/36 re)
(* 1/36 re)
(* 1/36 re)
-1/2
(- (* 1/6 re) 1/2)
(- (* 1/6 re) 1/2)
(- (* 1/6 re) 1/2)
(* 1/6 re)
(* re (- 1/6 (* 1/2 (/ 1 re))))
(* re (- 1/6 (* 1/2 (/ 1 re))))
(* re (- 1/6 (* 1/2 (/ 1 re))))
(* 1/6 re)
(* -1 (* re (- (* 1/2 (/ 1 re)) 1/6)))
(* -1 (* re (- (* 1/2 (/ 1 re)) 1/6)))
(* -1 (* re (- (* 1/2 (/ 1 re)) 1/6)))

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

eval149.0ms (0.8%)

Memory: -13.7MiB live, 351.0MiB allocated
Compiler: Compiled 29 818 to 2 586 computations (91.3% saved)

prune398.0ms (2.3%)

Memory

16.7MiB live, 412.6MiB allocated

Pruning

50 alts after pruning (41 fresh and 9 done)

	Pruned	Kept	Total
New	1 050	28	1 078
Fresh	8	13	21
Picked	2	3	5
Done	0	6	6
Total	1 060	50	1 110

Accuracy

100.0%

Counts

1 110 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.1%	(fma.f64 (fma.f64 im (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) re) im im)
	31.6%	(fma.f64 (.f64 im im) (.f64 (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) im)
	34.5%	(fma.f64 (.f64 im im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) im) im)
	30.7%	(fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im)
	39.6%	(fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)
	41.0%	(fma.f64 im (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) im)
	41.0%	(fma.f64 im (fma.f64 (.f64 re re) (/.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) re) im)
▶	31.9%	(fma.f64 im (fma.f64 (.f64 im im) (.f64 re #s(literal -1/6 binary64)) re) im)
	32.1%	(fma.f64 im (fma.f64 re (.f64 (.f64 im im) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) re))) re) im)
	38.8%	(fma.f64 im (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) im)
	31.9%	(fma.f64 im (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 im im) re) re) im)
	21.9%	(fma.f64 im (.f64 (.f64 im im) (+.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (/.f64 re (*.f64 im im)))) im)
	30.7%	(fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im)
	32.5%	(fma.f64 im re im)
	39.2%	(/.f64 (fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
	70.4%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
	20.7%	(/.f64 (sin.f64 im) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) re) #s(literal -18 binary64)) re)) (.f64 re (.f64 re re))))
✓	70.5%	(/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
	59.4%	(/.f64 (sin.f64 im) (-.f64 #s(literal 1 binary64) re))
▶	32.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) re) im)))
	55.1%	(.f64 (fma.f64 (fma.f64 re (.f64 re re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re))) (sin.f64 im))
	70.5%	(.f64 (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (sin.f64 im))
	20.9%	(.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (sin.f64 im))
✓	70.5%	(*.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
✓	70.5%	(.f64 (fma.f64 re (fma.f64 re (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
	70.5%	(.f64 (fma.f64 re (fma.f64 re (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
▶	70.5%	(.f64 (fma.f64 re (fma.f64 re (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 re (.f64 re #s(literal 1/36 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
✓	68.1%	(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
	18.7%	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 re re) re) (sin.f64 im))
	33.6%	(.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 im) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 im) (/.f64 (.f64 (sin.f64 im) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) re))) (neg.f64 re))) (neg.f64 re))) (neg.f64 (.f64 re (.f64 re re))))
✓	53.4%	(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
	56.8%	(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) #s(literal -1 binary64)) (sin.f64 im)) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
	21.1%	(.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) (sin.f64 im))
	14.8%	(.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
	15.7%	(.f64 (.f64 im (.f64 im im)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (+.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (/.f64 re (*.f64 im im)))))
	14.7%	(.f64 (.f64 im im) (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))))
	14.6%	(.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (fma.f64 (.f64 im im) (.f64 (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) im))
	14.7%	(.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (fma.f64 (.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im))
✓	18.9%	(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 re re)) (sin.f64 im))
	4.5%	(*.f64 (sin.f64 im) re)
▶	57.1%	(.f64 (exp.f64 re) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
	8.9%	(.f64 re (fma.f64 (.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im))
	15.2%	(.f64 im (fma.f64 (.f64 re (.f64 re (.f64 im im))) (fma.f64 (.f64 im im) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 re re))))
	14.7%	(.f64 im (fma.f64 (.f64 im im) (.f64 (.f64 re (.f64 re (.f64 im im))) (fma.f64 (.f64 im im) #s(literal -1/10080 binary64) #s(literal 1/240 binary64))) (.f64 (.f64 re re) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
	38.8%	(*.f64 im (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
	16.0%	(.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 re re)))
✓	65.1%	(*.f64 im (exp.f64 re))
✓	52.4%	(sin.f64 im)
▶	26.6%	im

Compiler

Compiled 1 487 to 871 computations (41.4% saved)

simplify358.0ms (2%)

Memory

5.5MiB live, 510.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 #s(literal -1/6 binary64) (.f64 im im))
✓	cost-diff	0	(fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im)
✓	cost-diff	0	(exp.f64 re)
✓	cost-diff	0	(.f64 (exp.f64 re) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
✓	cost-diff	0	(fma.f64 im (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) re)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) re) im))
✓	cost-diff	64	(fma.f64 im (fma.f64 im (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) re) im)
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) re) im)))
✓	cost-diff	0	(*.f64 re #s(literal -1/6 binary64))
✓	cost-diff	0	(*.f64 im im)
✓	cost-diff	0	(fma.f64 (.f64 im im) (.f64 re #s(literal -1/6 binary64)) re)
✓	cost-diff	0	(fma.f64 im (fma.f64 (.f64 im im) (.f64 re #s(literal -1/6 binary64)) re) im)
✓	cost-diff	0	(fma.f64 re (fma.f64 re (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 re (.f64 re #s(literal 1/36 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 (fma.f64 re (fma.f64 re (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 re (.f64 re #s(literal 1/36 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
✓	cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
✓	cost-diff	128	(-.f64 #s(literal 1/4 binary64) (.f64 re (.f64 re #s(literal 1/36 binary64))))

Rules

13 032×	`lower-fma.f32`
13 016×	`lower-fma.f64`
3 574×	`lower-*.f32`
3 556×	`lower-*.f64`
1 950×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	228
0	63	224
1	142	224
2	325	222
3	781	219
4	1795	219
5	2940	219
6	6313	219
0	8113	202

Stop Event

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

Calls

Call 1

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

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

localize527.0ms (3%)

Memory

-113.2MiB live, 241.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 re)
✓	accuracy	99.9%	(fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im)
✓	accuracy	99.4%	(.f64 #s(literal -1/6 binary64) (.f64 im im))
✓	accuracy	94.2%	(.f64 (exp.f64 re) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) re) im)))
✓	accuracy	99.7%	(fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))
✓	accuracy	99.6%	(*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) re) im))
✓	accuracy	100.0%	(*.f64 im im)
✓	accuracy	99.9%	(fma.f64 im (fma.f64 (.f64 im im) (.f64 re #s(literal -1/6 binary64)) re) im)
✓	accuracy	99.4%	(*.f64 re #s(literal -1/6 binary64))
✓	accuracy	94.8%	(fma.f64 (.f64 im im) (.f64 re #s(literal -1/6 binary64)) re)
✓	accuracy	99.4%	(*.f64 re #s(literal 1/6 binary64))
✓	accuracy	99.4%	(*.f64 re #s(literal 1/36 binary64))
✓	accuracy	96.5%	(.f64 (fma.f64 re (fma.f64 re (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 re (.f64 re #s(literal 1/36 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
✓	accuracy	75.1%	(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 re (.f64 re #s(literal 1/36 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))

Samples

454.0ms

256×

valid

Compiler

Compiled 253 to 41 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 125.0ms

ival-mult: 73.0ms (58.5% of total)

ival-sin: 22.0ms (17.6% of total)

const: 10.0ms (8% of total)

ival-add: 9.0ms (7.2% of total)

ival-div: 5.0ms (4% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series69.0ms (0.4%)

Memory

-4.5MiB live, 69.1MiB allocated

Counts

21 → 360

Calls

Call 1

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

Outputs
#s(alt 1/4 (taylor 0 re) (#s(alt (-.f64 #s(literal 1/4 binary64) (.f64 re (.f64 re #s(literal 1/36 binary64)))) (patch (-.f64 #s(literal 1/4 binary64) (.f64 re (.f64 re #s(literal 1/36 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/4 (* -1/36 (pow re 2))) (taylor 0 re) (#s(alt (-.f64 #s(literal 1/4 binary64) (.f64 re (.f64 re #s(literal 1/36 binary64)))) (patch (-.f64 #s(literal 1/4 binary64) (.f64 re (.f64 re #s(literal 1/36 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/4 (* -1/36 (pow re 2))) (taylor 0 re) (#s(alt (-.f64 #s(literal 1/4 binary64) (.f64 re (.f64 re #s(literal 1/36 binary64)))) (patch (-.f64 #s(literal 1/4 binary64) (.f64 re (.f64 re #s(literal 1/36 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/4 (* -1/36 (pow re 2))) (taylor 0 re) (#s(alt (-.f64 #s(literal 1/4 binary64) (.f64 re (.f64 re #s(literal 1/36 binary64)))) (patch (-.f64 #s(literal 1/4 binary64) (.f64 re (.f64 re #s(literal 1/36 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/36 (pow re 2)) (taylor inf re) (#s(alt (-.f64 #s(literal 1/4 binary64) (.f64 re (.f64 re #s(literal 1/36 binary64)))) (patch (-.f64 #s(literal 1/4 binary64) (.f64 re (.f64 re #s(literal 1/36 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36)) (taylor inf re) (#s(alt (-.f64 #s(literal 1/4 binary64) (.f64 re (.f64 re #s(literal 1/36 binary64)))) (patch (-.f64 #s(literal 1/4 binary64) (.f64 re (.f64 re #s(literal 1/36 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36)) (taylor inf re) (#s(alt (-.f64 #s(literal 1/4 binary64) (.f64 re (.f64 re #s(literal 1/36 binary64)))) (patch (-.f64 #s(literal 1/4 binary64) (.f64 re (.f64 re #s(literal 1/36 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36)) (taylor inf re) (#s(alt (-.f64 #s(literal 1/4 binary64) (.f64 re (.f64 re #s(literal 1/36 binary64)))) (patch (-.f64 #s(literal 1/4 binary64) (.f64 re (.f64 re #s(literal 1/36 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* im (- (* -1/6 re) 1/6)) (taylor inf im) (#s(alt (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (patch (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* im (- (* -1/6 re) 1/6)) (taylor inf im) (#s(alt (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (patch (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* im (- (* -1/6 re) 1/6)) (taylor inf im) (#s(alt (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (patch (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* im (- (* -1/6 re) 1/6)) (taylor -inf im) (#s(alt (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (patch (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* im (- (* -1/6 re) 1/6)) (taylor -inf im) (#s(alt (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (patch (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* im (- (* -1/6 re) 1/6)) (taylor -inf im) (#s(alt (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (patch (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* im (- (* -1/6 re) 1/6)) (taylor -inf im) (#s(alt (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (patch (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 im) (taylor 0 re) (#s(alt (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (patch (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/6 im) (* -1/6 (* im re))) (taylor 0 re) (#s(alt (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (patch (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/6 im) (* -1/6 (* im re))) (taylor 0 re) (#s(alt (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (patch (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/6 im) (* -1/6 (* im re))) (taylor 0 re) (#s(alt (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (patch (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (* im re)) (taylor inf re) (#s(alt (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (patch (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* -1/6 im) (* -1/6 (/ im re)))) (taylor inf re) (#s(alt (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (patch (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* -1/6 im) (* -1/6 (/ im re)))) (taylor inf re) (#s(alt (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (patch (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* -1/6 im) (* -1/6 (/ im re)))) (taylor inf re) (#s(alt (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (patch (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (* im re)) (taylor -inf re) (#s(alt (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (patch (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* re (+ (* 1/6 im) (* 1/6 (/ im re))))) (taylor -inf re) (#s(alt (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (patch (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* re (+ (* 1/6 im) (* 1/6 (/ im re))))) (taylor -inf re) (#s(alt (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (patch (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* re (+ (* 1/6 im) (* 1/6 (/ im re))))) (taylor -inf re) (#s(alt (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (patch (.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt -1/6 (taylor 0 re) (#s(alt (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1/6 re) 1/6) (taylor 0 re) (#s(alt (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1/6 re) 1/6) (taylor 0 re) (#s(alt (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1/6 re) 1/6) (taylor 0 re) (#s(alt (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 re) (taylor inf re) (#s(alt (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* re (+ 1/6 (* 1/6 (/ 1 re))))) (taylor inf re) (#s(alt (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* re (+ 1/6 (* 1/6 (/ 1 re))))) (taylor inf re) (#s(alt (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* re (+ 1/6 (* 1/6 (/ 1 re))))) (taylor inf re) (#s(alt (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 re) (taylor -inf re) (#s(alt (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* re (+ 1/6 (* 1/6 (/ 1 re))))) (taylor -inf re) (#s(alt (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* re (+ 1/6 (* 1/6 (/ 1 re))))) (taylor -inf re) (#s(alt (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* re (+ 1/6 (* 1/6 (/ 1 re))))) (taylor -inf re) (#s(alt (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())

Calls

90 calls:

Time	Variable		Point	Expression
18.0ms	re	@	-inf	(+ (* im (+ (* (* im im) (* re -1/6)) re)) im)
2.0ms	im	@	-inf	(/ 1 (+ (* im (+ (* im (* im (+ (* re -1/6) -1/6))) re)) im))
1.0ms	im	@	inf	(* (+ (* re (+ (* re (/ (- 1/4 (* re (* re 1/36))) (- 1/2 (* re 1/6)))) 1)) 1) (sin im))
1.0ms	re	@	inf	(/ 1 (+ (* im (+ (* im (* im (+ (* re -1/6) -1/6))) re)) im))
1.0ms	im	@	0	(* (+ (* re (+ (* re (/ (- 1/4 (* re (* re 1/36))) (- 1/2 (* re 1/6)))) 1)) 1) (sin im))

rewrite550.0ms (3.1%)

Memory

2.5MiB live, 689.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 592×	`lower-fma.f32`
6 576×	`lower-fma.f64`
4 608×	`lower-*.f32`
4 590×	`lower-*.f64`
4 078×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	184
0	63	180
1	280	154
2	2183	154
0	8894	147

Stop Event

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

Counts

21 → 679

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/36 binary64)))
(+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal -1/6 binary64)) (*.f64 re #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 re re) #s(literal -1/36 binary64)) #s(literal 1/4 binary64))
(-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re)))
(-.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64))) (/.f64 (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal 1/46656 binary64))) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64))))
(-.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (/.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64)) (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))))
(-.f64 (/.f64 #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/36 binary64)))) (/.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/36 binary64)))))
(fma.f64 re (neg.f64 (*.f64 re #s(literal 1/36 binary64))) #s(literal 1/4 binary64))
(fma.f64 (*.f64 re #s(literal 1/36 binary64)) (neg.f64 re) #s(literal 1/4 binary64))
(fma.f64 #s(literal -1 binary64) (.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))
(fma.f64 (neg.f64 re) (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))
(fma.f64 (neg.f64 (*.f64 re re)) #s(literal 1/36 binary64) #s(literal 1/4 binary64))
(fma.f64 (*.f64 (neg.f64 re) re) #s(literal 1/36 binary64) #s(literal 1/4 binary64))
(fma.f64 (neg.f64 (*.f64 re #s(literal 1/36 binary64))) re #s(literal 1/4 binary64))
(fma.f64 (*.f64 (neg.f64 re) #s(literal 1/36 binary64)) re #s(literal 1/4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64)) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (*.f64 re re))) #s(literal -1/46656 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) (*.f64 re re)) #s(literal 1/1296 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64)) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (*.f64 re re))) #s(literal -1/46656 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) (*.f64 re re)) #s(literal 1/1296 binary64))))))
(/.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) #s(literal -1/46656 binary64))) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))
(/.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) #s(literal -1/46656 binary64))) (+.f64 #s(literal 1/16 binary64) (-.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal -1/36 binary64))))))
(/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64))) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))
(/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/36 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) #s(literal -1/46656 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) #s(literal -1/46656 binary64)))) (neg.f64 (+.f64 #s(literal 1/16 binary64) (-.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal -1/36 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64)))) (neg.f64 (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64)))) (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/36 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64)) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal 1/46656 binary64))))) (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64)) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64)))) (.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) #s(literal -1/46656 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))))
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(/.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/216 binary64)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/216 binary64))) (fma.f64 (.f64 re (.f64 im #s(literal -1/6 binary64))) (.f64 re (.f64 im #s(literal -1/6 binary64))) (-.f64 (.f64 (.f64 im #s(literal -1/6 binary64)) (.f64 im #s(literal -1/6 binary64))) (.f64 (.f64 re (.f64 im #s(literal -1/6 binary64))) (*.f64 im #s(literal -1/6 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 re (.f64 im #s(literal -1/6 binary64))) (.f64 re (.f64 im #s(literal -1/6 binary64)))) (.f64 (.f64 im #s(literal -1/6 binary64)) (.f64 im #s(literal -1/6 binary64)))) (-.f64 (.f64 re (.f64 im #s(literal -1/6 binary64))) (*.f64 im #s(literal -1/6 binary64))))
(/.f64 (.f64 im (fma.f64 (.f64 re (.f64 re re)) #s(literal -1/216 binary64) #s(literal -1/216 binary64))) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal 1/36 binary64)) (*.f64 re #s(literal 1/36 binary64))))
(/.f64 (.f64 im (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/36 binary64))) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/6 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal -1/216 binary64) #s(literal -1/216 binary64)) im) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal 1/36 binary64)) (*.f64 re #s(literal 1/36 binary64))))
(/.f64 (.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/36 binary64)) im) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/6 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/216 binary64)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/216 binary64)))) (neg.f64 (fma.f64 (.f64 re (.f64 im #s(literal -1/6 binary64))) (.f64 re (.f64 im #s(literal -1/6 binary64))) (-.f64 (.f64 (.f64 im #s(literal -1/6 binary64)) (.f64 im #s(literal -1/6 binary64))) (.f64 (.f64 re (.f64 im #s(literal -1/6 binary64))) (*.f64 im #s(literal -1/6 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 re (.f64 im #s(literal -1/6 binary64))) (.f64 re (.f64 im #s(literal -1/6 binary64)))) (.f64 (.f64 im #s(literal -1/6 binary64)) (.f64 im #s(literal -1/6 binary64))))) (neg.f64 (-.f64 (.f64 re (.f64 im #s(literal -1/6 binary64))) (*.f64 im #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (.f64 im (fma.f64 (.f64 re (.f64 re re)) #s(literal -1/216 binary64) #s(literal -1/216 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal 1/36 binary64)) (*.f64 re #s(literal 1/36 binary64)))))
(/.f64 (neg.f64 (.f64 im (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal -1/216 binary64) #s(literal -1/216 binary64)) im)) (neg.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal 1/36 binary64)) (*.f64 re #s(literal 1/36 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/36 binary64)) im)) (neg.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 (.f64 im (.f64 im im)) #s(literal -1/216 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/216 binary64)))) (fma.f64 (.f64 im #s(literal -1/6 binary64)) (.f64 im #s(literal -1/6 binary64)) (-.f64 (.f64 (.f64 re (.f64 im #s(literal -1/6 binary64))) (.f64 re (.f64 im #s(literal -1/6 binary64)))) (.f64 (.f64 im #s(literal -1/6 binary64)) (.f64 re (*.f64 im #s(literal -1/6 binary64)))))))
(*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) im)
(.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im #s(literal -1/6 binary64)))
(.f64 (.f64 im (+.f64 re #s(literal 1 binary64))) #s(literal -1/6 binary64))
(+.f64 #s(literal -1/6 binary64) (*.f64 re #s(literal -1/6 binary64)))
(+.f64 (*.f64 re #s(literal -1/6 binary64)) #s(literal -1/6 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/6 binary64))))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal -1/6 binary64) (.f64 re #s(literal -1/6 binary64)))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (-.f64 #s(literal -1/6 binary64) (.f64 re #s(literal -1/6 binary64)))))
(fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/6 binary64) (neg.f64 re) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/6 binary64) re #s(literal -1/6 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 re #s(literal 1/6 binary64)) #s(literal -1/6 binary64))
(fma.f64 (neg.f64 re) #s(literal 1/6 binary64) #s(literal -1/6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal 1/36 binary64)) (.f64 re #s(literal 1/36 binary64))) (fma.f64 (.f64 re (.f64 re re)) #s(literal -1/216 binary64) #s(literal -1/216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/6 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal -1/36 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal 1/36 binary64)) (.f64 re #s(literal 1/36 binary64))) (fma.f64 (.f64 re (.f64 re re)) #s(literal -1/216 binary64) #s(literal -1/216 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/6 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal -1/36 binary64)))))
(/.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal -1/216 binary64) #s(literal -1/216 binary64)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal 1/36 binary64)) (.f64 re #s(literal 1/36 binary64))))
(/.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal -1/216 binary64) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (*.f64 re #s(literal 1/36 binary64)))))
(/.f64 (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal -1/36 binary64)) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/6 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal -1/216 binary64) #s(literal -1/216 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal 1/36 binary64)) (.f64 re #s(literal 1/36 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal -1/216 binary64) #s(literal -1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (*.f64 re #s(literal 1/36 binary64))))))
(/.f64 (neg.f64 (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/6 binary64))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (-.f64 #s(literal -1/6 binary64) (*.f64 re #s(literal -1/6 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/6 binary64))) (.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/6 binary64)) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal -1/216 binary64) #s(literal -1/216 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal 1/36 binary64)) (.f64 re #s(literal 1/36 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re)))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 re #s(literal -1/6 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/6 binary64))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/6 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/6 binary64)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal 1/36 binary64)) (.f64 re #s(literal 1/36 binary64))) (fma.f64 (.f64 re (.f64 re re)) #s(literal -1/216 binary64) #s(literal -1/216 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/6 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal -1/36 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -1/6 binary64) (+.f64 re #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal -1/216 binary64) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal 1/36 binary64)) (*.f64 re #s(literal 1/36 binary64)))))
(.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/6 binary64))))
(*.f64 (+.f64 re #s(literal 1 binary64)) #s(literal -1/6 binary64))

simplify341.0ms (1.9%)

Memory

9.3MiB live, 687.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 870×	`lower-fma.f64`
8 870×	`lower-fma.f32`
5 868×	`lower-*.f64`
5 868×	`lower-*.f32`
2 750×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	481	5022
1	1601	4801
2	6166	4736
0	8281	4290

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 356

Calls

Call 1

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

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

eval149.0ms (0.8%)

Memory: -9.0MiB live, 334.8MiB allocated
Compiler: Compiled 33 929 to 3 211 computations (90.5% saved)

prune176.0ms (1%)

Memory

1.5MiB live, 369.8MiB allocated

Pruning

52 alts after pruning (41 fresh and 11 done)

	Pruned	Kept	Total
New	1 038	15	1 053
Fresh	10	26	36
Picked	2	3	5
Done	1	8	9
Total	1 051	52	1 103

Accuracy

100.0%

Counts

1 103 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.1%	(fma.f64 (fma.f64 im (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) re) im im)
	31.6%	(fma.f64 (.f64 im im) (.f64 (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) im)
	34.5%	(fma.f64 (.f64 im im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) im) im)
	30.7%	(fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im)
	39.6%	(fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)
	32.5%	(fma.f64 re im im)
	41.0%	(fma.f64 im (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) im)
	31.9%	(fma.f64 im (fma.f64 (.f64 re (.f64 im im)) #s(literal -1/6 binary64) re) im)
	41.0%	(fma.f64 im (fma.f64 (.f64 re re) (/.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) re) im)
	32.1%	(fma.f64 im (fma.f64 re (.f64 (.f64 im im) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) re))) re) im)
	38.8%	(fma.f64 im (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) im)
	21.7%	(fma.f64 im (.f64 (.f64 im im) (fma.f64 re #s(literal -1/6 binary64) (/.f64 re (*.f64 im im)))) im)
	31.8%	(fma.f64 im (.f64 re (.f64 #s(literal -1/6 binary64) (*.f64 im im))) im)
	30.7%	(fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im)
	39.2%	(/.f64 (fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
	70.4%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
	20.7%	(/.f64 (sin.f64 im) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) re) #s(literal -18 binary64)) re)) (.f64 re (.f64 re re))))
	59.4%	(/.f64 (sin.f64 im) (-.f64 #s(literal 1 binary64) re))
	30.4%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 im im) (fma.f64 #s(literal 1/6 binary64) (/.f64 re (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))) im))
	32.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re im im)))
	31.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (.f64 im (.f64 re #s(literal -1/6 binary64))) re) im)))
	30.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im)))
	20.9%	(.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (sin.f64 im))
✓	70.5%	(*.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
	70.5%	(.f64 (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
✓	70.5%	(.f64 (fma.f64 re (fma.f64 re (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
✓	70.5%	(.f64 (fma.f64 re (fma.f64 re (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 re (.f64 re #s(literal 1/36 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
	52.9%	(.f64 (fma.f64 re (fma.f64 re (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
✓	68.1%	(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
	18.7%	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 re re) re) (sin.f64 im))
	33.6%	(.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 im) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 im) (/.f64 (.f64 (sin.f64 im) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) re))) (neg.f64 re))) (neg.f64 re))) (neg.f64 (.f64 re (.f64 re re))))
✓	53.4%	(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
	21.1%	(.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) (sin.f64 im))
	16.2%	(.f64 (.f64 re #s(literal -1/6 binary64)) (.f64 im (.f64 im im)))
	14.8%	(.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
	15.5%	(.f64 (.f64 im (.f64 im im)) (+.f64 (/.f64 re (.f64 im im)) (fma.f64 re #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im im)))))
	23.1%	(.f64 (.f64 im (.f64 im im)) (.f64 #s(literal -1/6 binary64) (exp.f64 re)))
	14.6%	(.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (fma.f64 (.f64 im im) (.f64 (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) im))
	14.7%	(.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (fma.f64 (.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im))
✓	18.9%	(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 re re)) (sin.f64 im))
	4.5%	(*.f64 (sin.f64 im) re)
✓	57.1%	(.f64 (exp.f64 re) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
	31.7%	(.f64 re (fma.f64 im (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (/.f64 im re)))
	15.2%	(.f64 im (fma.f64 (.f64 re (.f64 re (.f64 im im))) (fma.f64 (.f64 im im) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 re re))))
	8.9%	(.f64 im (fma.f64 (.f64 re #s(literal -1/6 binary64)) (*.f64 im im) re))
	14.7%	(.f64 im (fma.f64 (.f64 im im) (.f64 (.f64 re (.f64 re (.f64 im im))) (fma.f64 (.f64 im im) #s(literal -1/10080 binary64) #s(literal 1/240 binary64))) (.f64 (.f64 re re) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
	38.8%	(*.f64 im (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
	16.0%	(.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 re re)))
✓	65.1%	(*.f64 im (exp.f64 re))
✓	52.4%	(sin.f64 im)
✓	26.6%	im

Compiler

Compiled 1 849 to 713 computations (61.4% saved)

regimes115.0ms (0.7%)

Memory

-14.1MiB live, 186.8MiB allocated

Counts

75 → 1

Calls

Call 1

Inputs
im
(*.f64 im #s(literal 1 binary64))
(fma.f64 im re im)
(fma.f64 re im im)
(.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 re re)))
(fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im)
(fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im)
(*.f64 im (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 im (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) im)
(.f64 (.f64 re #s(literal -1/6 binary64)) (.f64 im (.f64 im im)))
(.f64 im (fma.f64 (.f64 re #s(literal -1/6 binary64)) (*.f64 im im) re))
(.f64 re (fma.f64 (.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im))
(.f64 (.f64 im im) (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))))
(fma.f64 im (.f64 re (.f64 #s(literal -1/6 binary64) (*.f64 im im))) im)
(fma.f64 im (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 im im) re) re) im)
(fma.f64 im (fma.f64 (.f64 im im) (.f64 re #s(literal -1/6 binary64)) re) im)
(fma.f64 im (fma.f64 (.f64 re (.f64 im im)) #s(literal -1/6 binary64) re) im)
(*.f64 im (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 im (fma.f64 (*.f64 im im) (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) re) im)
(fma.f64 im (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) im)
(fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)
(fma.f64 (fma.f64 im (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) re) im im)
(.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (.f64 im im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) im) im)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re im im)))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (fma.f64 (.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im))
(.f64 re (fma.f64 im (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (/.f64 im re)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(fma.f64 im (fma.f64 re (.f64 (.f64 im im) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) re))) re) im)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im)))
(fma.f64 im (.f64 (.f64 im im) (fma.f64 re #s(literal -1/6 binary64) (/.f64 re (*.f64 im im)))) im)
(fma.f64 (.f64 im im) (.f64 (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) im)
(fma.f64 im (.f64 (.f64 im im) (+.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (/.f64 re (*.f64 im im)))) im)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (.f64 im (.f64 re #s(literal -1/6 binary64))) re) im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) re) im)))
(fma.f64 im (fma.f64 (.f64 re re) (/.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) re) im)
(.f64 im (fma.f64 (.f64 re (.f64 re (.f64 im im))) (fma.f64 (.f64 im im) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 re re))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (fma.f64 (.f64 im im) (.f64 (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) im))
(.f64 (.f64 im (.f64 im im)) (+.f64 (/.f64 re (.f64 im im)) (fma.f64 re #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im im)))))
(/.f64 (fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 im (.f64 im im)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (+.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (/.f64 re (*.f64 im im)))))
(.f64 im (fma.f64 (.f64 im im) (.f64 (.f64 re (.f64 re (.f64 im im))) (fma.f64 (.f64 im im) #s(literal -1/10080 binary64) #s(literal 1/240 binary64))) (.f64 (.f64 re re) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 im im) (fma.f64 #s(literal 1/6 binary64) (/.f64 re (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))) im))
(sin.f64 im)
(*.f64 im (exp.f64 re))
(*.f64 (sin.f64 im) re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
(/.f64 (sin.f64 im) (-.f64 #s(literal 1 binary64) re))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 re re)) (sin.f64 im))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 re re) re) (sin.f64 im))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
(.f64 (.f64 im (.f64 im im)) (.f64 #s(literal -1/6 binary64) (exp.f64 re)))
(.f64 (exp.f64 re) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(.f64 (.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sin.f64 im))
(.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) (sin.f64 im))
(.f64 (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (sin.f64 im))
(.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (sin.f64 im))
(*.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
(/.f64 (*.f64 (fma.f64 re re #s(literal -1 binary64)) (sin.f64 im)) (+.f64 re #s(literal -1 binary64)))
(.f64 (fma.f64 re (fma.f64 re (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
(/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 re (fma.f64 re (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
(.f64 (fma.f64 re (fma.f64 re (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
(.f64 (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
(.f64 (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (sin.f64 im))
(.f64 (fma.f64 re (fma.f64 re (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 re (.f64 #s(literal 1/36 binary64) re))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
(.f64 (fma.f64 re (fma.f64 re (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 re (.f64 re #s(literal 1/36 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
(.f64 (fma.f64 (fma.f64 re (.f64 re re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re))) (sin.f64 im))
(/.f64 (sin.f64 im) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) re) #s(literal -18 binary64)) re)) (.f64 re (.f64 re re))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 re (fma.f64 re (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (/.f64 (.f64 re (.f64 #s(literal 1/36 binary64) re)) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
(.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (sin.f64 im))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) #s(literal -1 binary64)) (sin.f64 im)) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 im) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 im) (/.f64 (.f64 (sin.f64 im) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) re))) (neg.f64 re))) (neg.f64 re))) (neg.f64 (.f64 re (.f64 re re))))

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

Calls

5 calls:

24.0ms	(sin.f64 im)
23.0ms	im
22.0ms	re
19.0ms	(exp.f64 re)
18.0ms	(*.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 21 to 15 computations (28.6% saved)

regimes209.0ms (1.2%)

Memory

20.3MiB live, 134.4MiB allocated

Counts

73 → 5

Calls

Call 1

Inputs
im
(*.f64 im #s(literal 1 binary64))
(fma.f64 im re im)
(fma.f64 re im im)
(.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 re re)))
(fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im)
(fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im)
(*.f64 im (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 im (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) im)
(.f64 (.f64 re #s(literal -1/6 binary64)) (.f64 im (.f64 im im)))
(.f64 im (fma.f64 (.f64 re #s(literal -1/6 binary64)) (*.f64 im im) re))
(.f64 re (fma.f64 (.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im))
(.f64 (.f64 im im) (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))))
(fma.f64 im (.f64 re (.f64 #s(literal -1/6 binary64) (*.f64 im im))) im)
(fma.f64 im (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 im im) re) re) im)
(fma.f64 im (fma.f64 (.f64 im im) (.f64 re #s(literal -1/6 binary64)) re) im)
(fma.f64 im (fma.f64 (.f64 re (.f64 im im)) #s(literal -1/6 binary64) re) im)
(*.f64 im (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 im (fma.f64 (*.f64 im im) (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) re) im)
(fma.f64 im (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) im)
(fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)
(fma.f64 (fma.f64 im (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) re) im im)
(.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (.f64 im im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) im) im)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re im im)))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (fma.f64 (.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im))
(.f64 re (fma.f64 im (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (/.f64 im re)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(fma.f64 im (fma.f64 re (.f64 (.f64 im im) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) re))) re) im)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im)))
(fma.f64 im (.f64 (.f64 im im) (fma.f64 re #s(literal -1/6 binary64) (/.f64 re (*.f64 im im)))) im)
(fma.f64 (.f64 im im) (.f64 (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) im)
(fma.f64 im (.f64 (.f64 im im) (+.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (/.f64 re (*.f64 im im)))) im)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (.f64 im (.f64 re #s(literal -1/6 binary64))) re) im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) re) im)))
(fma.f64 im (fma.f64 (.f64 re re) (/.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) re) im)
(.f64 im (fma.f64 (.f64 re (.f64 re (.f64 im im))) (fma.f64 (.f64 im im) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 re re))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (fma.f64 (.f64 im im) (.f64 (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) im))
(.f64 (.f64 im (.f64 im im)) (+.f64 (/.f64 re (.f64 im im)) (fma.f64 re #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im im)))))
(/.f64 (fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 im (.f64 im im)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (+.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (/.f64 re (*.f64 im im)))))
(.f64 im (fma.f64 (.f64 im im) (.f64 (.f64 re (.f64 re (.f64 im im))) (fma.f64 (.f64 im im) #s(literal -1/10080 binary64) #s(literal 1/240 binary64))) (.f64 (.f64 re re) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 im im) (fma.f64 #s(literal 1/6 binary64) (/.f64 re (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))) im))
(sin.f64 im)
(*.f64 im (exp.f64 re))
(*.f64 (sin.f64 im) re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
(/.f64 (sin.f64 im) (-.f64 #s(literal 1 binary64) re))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 re re)) (sin.f64 im))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 re re) re) (sin.f64 im))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
(.f64 (.f64 im (.f64 im im)) (.f64 #s(literal -1/6 binary64) (exp.f64 re)))
(.f64 (exp.f64 re) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(.f64 (.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sin.f64 im))
(.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) (sin.f64 im))
(.f64 (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (sin.f64 im))
(.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (sin.f64 im))
(*.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
(/.f64 (*.f64 (fma.f64 re re #s(literal -1 binary64)) (sin.f64 im)) (+.f64 re #s(literal -1 binary64)))
(.f64 (fma.f64 re (fma.f64 re (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
(/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 re (fma.f64 re (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
(.f64 (fma.f64 re (fma.f64 re (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
(.f64 (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
(.f64 (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (sin.f64 im))
(.f64 (fma.f64 re (fma.f64 re (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 re (.f64 #s(literal 1/36 binary64) re))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
(.f64 (fma.f64 re (fma.f64 re (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 re (.f64 re #s(literal 1/36 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
(.f64 (fma.f64 (fma.f64 re (.f64 re re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re))) (sin.f64 im))
(/.f64 (sin.f64 im) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) re) #s(literal -18 binary64)) re)) (.f64 re (.f64 re re))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 re (fma.f64 re (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (/.f64 (.f64 re (.f64 #s(literal 1/36 binary64) re)) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
(.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (sin.f64 im))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) #s(literal -1 binary64)) (sin.f64 im)) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))

Outputs
(.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
(*.f64 im (exp.f64 re))
(.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (sin.f64 im))
(*.f64 im (exp.f64 re))

Calls

5 calls:

79.0ms	re
57.0ms	(exp.f64 re)
31.0ms	im
20.0ms	(sin.f64 im)
18.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

Results

Accuracy	Segments	Branch
96.3%	4	`re`
85.5%	2	`im`
98.7%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`
92.0%	3	`(exp.f64 re)`
84.6%	3	`(sin.f64 im)`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes66.0ms (0.4%)

Memory

8.7MiB live, 53.3MiB allocated

Counts

71 → 5

Calls

Call 1

Inputs
im
(*.f64 im #s(literal 1 binary64))
(fma.f64 im re im)
(fma.f64 re im im)
(.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 re re)))
(fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im)
(fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im)
(*.f64 im (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 im (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) im)
(.f64 (.f64 re #s(literal -1/6 binary64)) (.f64 im (.f64 im im)))
(.f64 im (fma.f64 (.f64 re #s(literal -1/6 binary64)) (*.f64 im im) re))
(.f64 re (fma.f64 (.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im))
(.f64 (.f64 im im) (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))))
(fma.f64 im (.f64 re (.f64 #s(literal -1/6 binary64) (*.f64 im im))) im)
(fma.f64 im (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 im im) re) re) im)
(fma.f64 im (fma.f64 (.f64 im im) (.f64 re #s(literal -1/6 binary64)) re) im)
(fma.f64 im (fma.f64 (.f64 re (.f64 im im)) #s(literal -1/6 binary64) re) im)
(*.f64 im (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 im (fma.f64 (*.f64 im im) (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) re) im)
(fma.f64 im (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) im)
(fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)
(fma.f64 (fma.f64 im (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) re) im im)
(.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (.f64 im im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) im) im)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re im im)))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (fma.f64 (.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im))
(.f64 re (fma.f64 im (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (/.f64 im re)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(fma.f64 im (fma.f64 re (.f64 (.f64 im im) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) re))) re) im)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im)))
(fma.f64 im (.f64 (.f64 im im) (fma.f64 re #s(literal -1/6 binary64) (/.f64 re (*.f64 im im)))) im)
(fma.f64 (.f64 im im) (.f64 (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) im)
(fma.f64 im (.f64 (.f64 im im) (+.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (/.f64 re (*.f64 im im)))) im)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (.f64 im (.f64 re #s(literal -1/6 binary64))) re) im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) re) im)))
(fma.f64 im (fma.f64 (.f64 re re) (/.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) re) im)
(.f64 im (fma.f64 (.f64 re (.f64 re (.f64 im im))) (fma.f64 (.f64 im im) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 re re))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (fma.f64 (.f64 im im) (.f64 (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) im))
(.f64 (.f64 im (.f64 im im)) (+.f64 (/.f64 re (.f64 im im)) (fma.f64 re #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im im)))))
(/.f64 (fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 im (.f64 im im)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (+.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (/.f64 re (*.f64 im im)))))
(.f64 im (fma.f64 (.f64 im im) (.f64 (.f64 re (.f64 re (.f64 im im))) (fma.f64 (.f64 im im) #s(literal -1/10080 binary64) #s(literal 1/240 binary64))) (.f64 (.f64 re re) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 im im) (fma.f64 #s(literal 1/6 binary64) (/.f64 re (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))) im))
(sin.f64 im)
(*.f64 im (exp.f64 re))
(*.f64 (sin.f64 im) re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
(/.f64 (sin.f64 im) (-.f64 #s(literal 1 binary64) re))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 re re)) (sin.f64 im))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 re re) re) (sin.f64 im))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
(.f64 (.f64 im (.f64 im im)) (.f64 #s(literal -1/6 binary64) (exp.f64 re)))
(.f64 (exp.f64 re) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(.f64 (.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sin.f64 im))
(.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) (sin.f64 im))
(.f64 (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (sin.f64 im))
(.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (sin.f64 im))
(*.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
(/.f64 (*.f64 (fma.f64 re re #s(literal -1 binary64)) (sin.f64 im)) (+.f64 re #s(literal -1 binary64)))
(.f64 (fma.f64 re (fma.f64 re (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
(/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 re (fma.f64 re (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
(.f64 (fma.f64 re (fma.f64 re (/.f64 (fma.f64 re (.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
(.f64 (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
(.f64 (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (sin.f64 im))
(.f64 (fma.f64 re (fma.f64 re (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 re (.f64 #s(literal 1/36 binary64) re))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
(.f64 (fma.f64 re (fma.f64 re (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 re (.f64 re #s(literal 1/36 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
(.f64 (fma.f64 (fma.f64 re (.f64 re re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re))) (sin.f64 im))
(/.f64 (sin.f64 im) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) re) #s(literal -18 binary64)) re)) (.f64 re (.f64 re re))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 re (fma.f64 re (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (/.f64 (.f64 re (.f64 #s(literal 1/36 binary64) re)) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))

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

Calls

1 calls:

63.0ms

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

Results

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes62.0ms (0.4%)

Memory

-7.5MiB live, 31.7MiB allocated

Counts

59 → 5

Calls

Call 1

Inputs
im
(*.f64 im #s(literal 1 binary64))
(fma.f64 im re im)
(fma.f64 re im im)
(.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 re re)))
(fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im)
(fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im)
(*.f64 im (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 im (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) im)
(.f64 (.f64 re #s(literal -1/6 binary64)) (.f64 im (.f64 im im)))
(.f64 im (fma.f64 (.f64 re #s(literal -1/6 binary64)) (*.f64 im im) re))
(.f64 re (fma.f64 (.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im))
(.f64 (.f64 im im) (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))))
(fma.f64 im (.f64 re (.f64 #s(literal -1/6 binary64) (*.f64 im im))) im)
(fma.f64 im (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 im im) re) re) im)
(fma.f64 im (fma.f64 (.f64 im im) (.f64 re #s(literal -1/6 binary64)) re) im)
(fma.f64 im (fma.f64 (.f64 re (.f64 im im)) #s(literal -1/6 binary64) re) im)
(*.f64 im (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 im (fma.f64 (*.f64 im im) (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) re) im)
(fma.f64 im (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) im)
(fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)
(fma.f64 (fma.f64 im (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) re) im im)
(.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (.f64 im im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) im) im)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re im im)))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (fma.f64 (.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im))
(.f64 re (fma.f64 im (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (/.f64 im re)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(fma.f64 im (fma.f64 re (.f64 (.f64 im im) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) re))) re) im)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im)))
(fma.f64 im (.f64 (.f64 im im) (fma.f64 re #s(literal -1/6 binary64) (/.f64 re (*.f64 im im)))) im)
(fma.f64 (.f64 im im) (.f64 (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) im)
(fma.f64 im (.f64 (.f64 im im) (+.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (/.f64 re (*.f64 im im)))) im)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (.f64 im (.f64 re #s(literal -1/6 binary64))) re) im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) re) im)))
(fma.f64 im (fma.f64 (.f64 re re) (/.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) re) im)
(.f64 im (fma.f64 (.f64 re (.f64 re (.f64 im im))) (fma.f64 (.f64 im im) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 re re))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (fma.f64 (.f64 im im) (.f64 (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) im))
(.f64 (.f64 im (.f64 im im)) (+.f64 (/.f64 re (.f64 im im)) (fma.f64 re #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im im)))))
(/.f64 (fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 im (.f64 im im)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (+.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (/.f64 re (*.f64 im im)))))
(.f64 im (fma.f64 (.f64 im im) (.f64 (.f64 re (.f64 re (.f64 im im))) (fma.f64 (.f64 im im) #s(literal -1/10080 binary64) #s(literal 1/240 binary64))) (.f64 (.f64 re re) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 im im) (fma.f64 #s(literal 1/6 binary64) (/.f64 re (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))) im))
(sin.f64 im)
(*.f64 im (exp.f64 re))
(*.f64 (sin.f64 im) re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
(/.f64 (sin.f64 im) (-.f64 #s(literal 1 binary64) re))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 re re)) (sin.f64 im))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 re re) re) (sin.f64 im))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
(.f64 (.f64 im (.f64 im im)) (.f64 #s(literal -1/6 binary64) (exp.f64 re)))
(.f64 (exp.f64 re) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(.f64 (.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sin.f64 im))
(.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) (sin.f64 im))
(.f64 (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (sin.f64 im))
(.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (sin.f64 im))
(*.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
(/.f64 (*.f64 (fma.f64 re re #s(literal -1 binary64)) (sin.f64 im)) (+.f64 re #s(literal -1 binary64)))

Outputs
(.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
(*.f64 im (exp.f64 re))
(*.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
(*.f64 im (exp.f64 re))

Calls

1 calls:

59.0ms

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

Results

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes35.0ms (0.2%)

Memory

-9.8MiB live, 29.2MiB allocated

Counts

57 → 5

Calls

Call 1

Inputs
im
(*.f64 im #s(literal 1 binary64))
(fma.f64 im re im)
(fma.f64 re im im)
(.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 re re)))
(fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im)
(fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im)
(*.f64 im (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 im (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) im)
(.f64 (.f64 re #s(literal -1/6 binary64)) (.f64 im (.f64 im im)))
(.f64 im (fma.f64 (.f64 re #s(literal -1/6 binary64)) (*.f64 im im) re))
(.f64 re (fma.f64 (.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im))
(.f64 (.f64 im im) (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))))
(fma.f64 im (.f64 re (.f64 #s(literal -1/6 binary64) (*.f64 im im))) im)
(fma.f64 im (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 im im) re) re) im)
(fma.f64 im (fma.f64 (.f64 im im) (.f64 re #s(literal -1/6 binary64)) re) im)
(fma.f64 im (fma.f64 (.f64 re (.f64 im im)) #s(literal -1/6 binary64) re) im)
(*.f64 im (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 im (fma.f64 (*.f64 im im) (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) re) im)
(fma.f64 im (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) im)
(fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)
(fma.f64 (fma.f64 im (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) re) im im)
(.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (.f64 im im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) im) im)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re im im)))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (fma.f64 (.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im))
(.f64 re (fma.f64 im (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (/.f64 im re)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(fma.f64 im (fma.f64 re (.f64 (.f64 im im) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) re))) re) im)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im)))
(fma.f64 im (.f64 (.f64 im im) (fma.f64 re #s(literal -1/6 binary64) (/.f64 re (*.f64 im im)))) im)
(fma.f64 (.f64 im im) (.f64 (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) im)
(fma.f64 im (.f64 (.f64 im im) (+.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (/.f64 re (*.f64 im im)))) im)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (.f64 im (.f64 re #s(literal -1/6 binary64))) re) im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) re) im)))
(fma.f64 im (fma.f64 (.f64 re re) (/.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) re) im)
(.f64 im (fma.f64 (.f64 re (.f64 re (.f64 im im))) (fma.f64 (.f64 im im) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 re re))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (fma.f64 (.f64 im im) (.f64 (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) im))
(.f64 (.f64 im (.f64 im im)) (+.f64 (/.f64 re (.f64 im im)) (fma.f64 re #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im im)))))
(/.f64 (fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 im (.f64 im im)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (+.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (/.f64 re (*.f64 im im)))))
(.f64 im (fma.f64 (.f64 im im) (.f64 (.f64 re (.f64 re (.f64 im im))) (fma.f64 (.f64 im im) #s(literal -1/10080 binary64) #s(literal 1/240 binary64))) (.f64 (.f64 re re) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 im im) (fma.f64 #s(literal 1/6 binary64) (/.f64 re (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))) im))
(sin.f64 im)
(*.f64 im (exp.f64 re))
(*.f64 (sin.f64 im) re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
(/.f64 (sin.f64 im) (-.f64 #s(literal 1 binary64) re))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 re re)) (sin.f64 im))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 re re) re) (sin.f64 im))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
(.f64 (.f64 im (.f64 im im)) (.f64 #s(literal -1/6 binary64) (exp.f64 re)))
(.f64 (exp.f64 re) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(.f64 (.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sin.f64 im))
(.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) (sin.f64 im))
(.f64 (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (sin.f64 im))
(.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (sin.f64 im))

Outputs
(.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
(*.f64 im (exp.f64 re))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im))
(*.f64 im (exp.f64 re))

Calls

1 calls:

32.0ms

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

Results

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes15.0ms (0.1%)

Memory

21.4MiB live, 21.4MiB allocated

Counts

50 → 5

Calls

Call 1

Inputs
im
(*.f64 im #s(literal 1 binary64))
(fma.f64 im re im)
(fma.f64 re im im)
(.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 re re)))
(fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im)
(fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im)
(*.f64 im (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 im (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) im)
(.f64 (.f64 re #s(literal -1/6 binary64)) (.f64 im (.f64 im im)))
(.f64 im (fma.f64 (.f64 re #s(literal -1/6 binary64)) (*.f64 im im) re))
(.f64 re (fma.f64 (.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im))
(.f64 (.f64 im im) (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))))
(fma.f64 im (.f64 re (.f64 #s(literal -1/6 binary64) (*.f64 im im))) im)
(fma.f64 im (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 im im) re) re) im)
(fma.f64 im (fma.f64 (.f64 im im) (.f64 re #s(literal -1/6 binary64)) re) im)
(fma.f64 im (fma.f64 (.f64 re (.f64 im im)) #s(literal -1/6 binary64) re) im)
(*.f64 im (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 im (fma.f64 (*.f64 im im) (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) re) im)
(fma.f64 im (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) im)
(fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)
(fma.f64 (fma.f64 im (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) re) im im)
(.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (.f64 im im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) im) im)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re im im)))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (fma.f64 (.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im))
(.f64 re (fma.f64 im (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (/.f64 im re)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(fma.f64 im (fma.f64 re (.f64 (.f64 im im) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) re))) re) im)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im)))
(fma.f64 im (.f64 (.f64 im im) (fma.f64 re #s(literal -1/6 binary64) (/.f64 re (*.f64 im im)))) im)
(fma.f64 (.f64 im im) (.f64 (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) im)
(fma.f64 im (.f64 (.f64 im im) (+.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (/.f64 re (*.f64 im im)))) im)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (.f64 im (.f64 re #s(literal -1/6 binary64))) re) im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) re) im)))
(fma.f64 im (fma.f64 (.f64 re re) (/.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) re) im)
(.f64 im (fma.f64 (.f64 re (.f64 re (.f64 im im))) (fma.f64 (.f64 im im) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 re re))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (fma.f64 (.f64 im im) (.f64 (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) im))
(.f64 (.f64 im (.f64 im im)) (+.f64 (/.f64 re (.f64 im im)) (fma.f64 re #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im im)))))
(/.f64 (fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 im (.f64 im im)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (+.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (/.f64 re (*.f64 im im)))))
(.f64 im (fma.f64 (.f64 im im) (.f64 (.f64 re (.f64 re (.f64 im im))) (fma.f64 (.f64 im im) #s(literal -1/10080 binary64) #s(literal 1/240 binary64))) (.f64 (.f64 re re) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 im im) (fma.f64 #s(literal 1/6 binary64) (/.f64 re (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))) im))
(sin.f64 im)
(*.f64 im (exp.f64 re))
(*.f64 (sin.f64 im) re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
(/.f64 (sin.f64 im) (-.f64 #s(literal 1 binary64) re))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 re re)) (sin.f64 im))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 re re) re) (sin.f64 im))

Outputs
(.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
(*.f64 im (exp.f64 re))
(/.f64 (sin.f64 im) (-.f64 #s(literal 1 binary64) re))
(*.f64 im (exp.f64 re))

Calls

1 calls:

13.0ms

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

Results

Accuracy	Segments	Branch
98.1%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes57.0ms (0.3%)

Memory

-17.7MiB live, 21.0MiB allocated

Counts

47 → 5

Calls

Call 1

Inputs
im
(*.f64 im #s(literal 1 binary64))
(fma.f64 im re im)
(fma.f64 re im im)
(.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 re re)))
(fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im)
(fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im)
(*.f64 im (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 im (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) im)
(.f64 (.f64 re #s(literal -1/6 binary64)) (.f64 im (.f64 im im)))
(.f64 im (fma.f64 (.f64 re #s(literal -1/6 binary64)) (*.f64 im im) re))
(.f64 re (fma.f64 (.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im))
(.f64 (.f64 im im) (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))))
(fma.f64 im (.f64 re (.f64 #s(literal -1/6 binary64) (*.f64 im im))) im)
(fma.f64 im (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 im im) re) re) im)
(fma.f64 im (fma.f64 (.f64 im im) (.f64 re #s(literal -1/6 binary64)) re) im)
(fma.f64 im (fma.f64 (.f64 re (.f64 im im)) #s(literal -1/6 binary64) re) im)
(*.f64 im (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 im (fma.f64 (*.f64 im im) (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) re) im)
(fma.f64 im (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) im)
(fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)
(fma.f64 (fma.f64 im (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) re) im im)
(.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (.f64 im im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) im) im)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re im im)))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (fma.f64 (.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im))
(.f64 re (fma.f64 im (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (/.f64 im re)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(fma.f64 im (fma.f64 re (.f64 (.f64 im im) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) re))) re) im)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im)))
(fma.f64 im (.f64 (.f64 im im) (fma.f64 re #s(literal -1/6 binary64) (/.f64 re (*.f64 im im)))) im)
(fma.f64 (.f64 im im) (.f64 (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) im)
(fma.f64 im (.f64 (.f64 im im) (+.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (/.f64 re (*.f64 im im)))) im)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (.f64 im (.f64 re #s(literal -1/6 binary64))) re) im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) re) im)))
(fma.f64 im (fma.f64 (.f64 re re) (/.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) re) im)
(.f64 im (fma.f64 (.f64 re (.f64 re (.f64 im im))) (fma.f64 (.f64 im im) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 re re))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (fma.f64 (.f64 im im) (.f64 (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) im))
(.f64 (.f64 im (.f64 im im)) (+.f64 (/.f64 re (.f64 im im)) (fma.f64 re #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im im)))))
(/.f64 (fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 im (.f64 im im)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (+.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (/.f64 re (*.f64 im im)))))
(.f64 im (fma.f64 (.f64 im im) (.f64 (.f64 re (.f64 re (.f64 im im))) (fma.f64 (.f64 im im) #s(literal -1/10080 binary64) #s(literal 1/240 binary64))) (.f64 (.f64 re re) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 im im) (fma.f64 #s(literal 1/6 binary64) (/.f64 re (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))) im))
(sin.f64 im)
(*.f64 im (exp.f64 re))
(*.f64 (sin.f64 im) re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))

Outputs
(.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
(*.f64 im (exp.f64 re))
(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
(*.f64 im (exp.f64 re))

Calls

1 calls:

54.0ms

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

Results

Accuracy	Segments	Branch
98.1%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes70.0ms (0.4%)

Memory

-23.1MiB live, 38.7MiB allocated

Counts

46 → 5

Calls

Call 1

Inputs
im
(*.f64 im #s(literal 1 binary64))
(fma.f64 im re im)
(fma.f64 re im im)
(.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 re re)))
(fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im)
(fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im)
(*.f64 im (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 im (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) im)
(.f64 (.f64 re #s(literal -1/6 binary64)) (.f64 im (.f64 im im)))
(.f64 im (fma.f64 (.f64 re #s(literal -1/6 binary64)) (*.f64 im im) re))
(.f64 re (fma.f64 (.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im))
(.f64 (.f64 im im) (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))))
(fma.f64 im (.f64 re (.f64 #s(literal -1/6 binary64) (*.f64 im im))) im)
(fma.f64 im (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 im im) re) re) im)
(fma.f64 im (fma.f64 (.f64 im im) (.f64 re #s(literal -1/6 binary64)) re) im)
(fma.f64 im (fma.f64 (.f64 re (.f64 im im)) #s(literal -1/6 binary64) re) im)
(*.f64 im (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 im (fma.f64 (*.f64 im im) (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) re) im)
(fma.f64 im (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) im)
(fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)
(fma.f64 (fma.f64 im (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) re) im im)
(.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (.f64 im im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) im) im)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re im im)))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (fma.f64 (.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im))
(.f64 re (fma.f64 im (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (/.f64 im re)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(fma.f64 im (fma.f64 re (.f64 (.f64 im im) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) re))) re) im)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im)))
(fma.f64 im (.f64 (.f64 im im) (fma.f64 re #s(literal -1/6 binary64) (/.f64 re (*.f64 im im)))) im)
(fma.f64 (.f64 im im) (.f64 (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) im)
(fma.f64 im (.f64 (.f64 im im) (+.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (/.f64 re (*.f64 im im)))) im)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (.f64 im (.f64 re #s(literal -1/6 binary64))) re) im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) re) im)))
(fma.f64 im (fma.f64 (.f64 re re) (/.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) re) im)
(.f64 im (fma.f64 (.f64 re (.f64 re (.f64 im im))) (fma.f64 (.f64 im im) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 re re))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (fma.f64 (.f64 im im) (.f64 (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) im))
(.f64 (.f64 im (.f64 im im)) (+.f64 (/.f64 re (.f64 im im)) (fma.f64 re #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im im)))))
(/.f64 (fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 im (.f64 im im)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (+.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (/.f64 re (*.f64 im im)))))
(.f64 im (fma.f64 (.f64 im im) (.f64 (.f64 re (.f64 re (.f64 im im))) (fma.f64 (.f64 im im) #s(literal -1/10080 binary64) #s(literal 1/240 binary64))) (.f64 (.f64 re re) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 im im) (fma.f64 #s(literal 1/6 binary64) (/.f64 re (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))) im))
(sin.f64 im)
(*.f64 im (exp.f64 re))
(*.f64 (sin.f64 im) re)

Outputs
(.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(sin.f64 im)
(*.f64 im (exp.f64 re))
(sin.f64 im)
(*.f64 im (exp.f64 re))

Calls

2 calls:

56.0ms	re
12.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

Results

Accuracy	Segments	Branch
90.6%	3	`re`
97.5%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes166.0ms (0.9%)

Memory

5.2MiB live, 83.1MiB allocated

Counts

44 → 5

Calls

Call 1

Inputs
im
(*.f64 im #s(literal 1 binary64))
(fma.f64 im re im)
(fma.f64 re im im)
(.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 re re)))
(fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im)
(fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im)
(*.f64 im (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 im (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) im)
(.f64 (.f64 re #s(literal -1/6 binary64)) (.f64 im (.f64 im im)))
(.f64 im (fma.f64 (.f64 re #s(literal -1/6 binary64)) (*.f64 im im) re))
(.f64 re (fma.f64 (.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im))
(.f64 (.f64 im im) (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))))
(fma.f64 im (.f64 re (.f64 #s(literal -1/6 binary64) (*.f64 im im))) im)
(fma.f64 im (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 im im) re) re) im)
(fma.f64 im (fma.f64 (.f64 im im) (.f64 re #s(literal -1/6 binary64)) re) im)
(fma.f64 im (fma.f64 (.f64 re (.f64 im im)) #s(literal -1/6 binary64) re) im)
(*.f64 im (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 im (fma.f64 (*.f64 im im) (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) re) im)
(fma.f64 im (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) im)
(fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)
(fma.f64 (fma.f64 im (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) re) im im)
(.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (.f64 im im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) im) im)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re im im)))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (fma.f64 (.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im))
(.f64 re (fma.f64 im (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (/.f64 im re)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(fma.f64 im (fma.f64 re (.f64 (.f64 im im) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) re))) re) im)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im)))
(fma.f64 im (.f64 (.f64 im im) (fma.f64 re #s(literal -1/6 binary64) (/.f64 re (*.f64 im im)))) im)
(fma.f64 (.f64 im im) (.f64 (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) im)
(fma.f64 im (.f64 (.f64 im im) (+.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (/.f64 re (*.f64 im im)))) im)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (.f64 im (.f64 re #s(literal -1/6 binary64))) re) im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) re) im)))
(fma.f64 im (fma.f64 (.f64 re re) (/.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) re) im)
(.f64 im (fma.f64 (.f64 re (.f64 re (.f64 im im))) (fma.f64 (.f64 im im) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 re re))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (fma.f64 (.f64 im im) (.f64 (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) im))
(.f64 (.f64 im (.f64 im im)) (+.f64 (/.f64 re (.f64 im im)) (fma.f64 re #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im im)))))
(/.f64 (fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 im (.f64 im im)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (+.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (/.f64 re (*.f64 im im)))))
(.f64 im (fma.f64 (.f64 im im) (.f64 (.f64 re (.f64 re (.f64 im im))) (fma.f64 (.f64 im im) #s(literal -1/10080 binary64) #s(literal 1/240 binary64))) (.f64 (.f64 re re) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 im im) (fma.f64 #s(literal 1/6 binary64) (/.f64 re (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))) im))
(sin.f64 im)

Outputs
(.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(sin.f64 im)
(.f64 (.f64 re #s(literal -1/6 binary64)) (.f64 im (.f64 im im)))
(sin.f64 im)
(*.f64 im (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))

Calls

5 calls:

76.0ms	(sin.f64 im)
51.0ms	(exp.f64 re)
13.0ms	re
13.0ms	im
12.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

Results

Accuracy	Segments	Branch
58.9%	3	`(sin.f64 im)`
58.8%	2	`im`
76.5%	4	`re`
74.2%	3	`(exp.f64 re)`
80.9%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes128.0ms (0.7%)

Memory

0.7MiB live, 80.2MiB allocated

Counts

43 → 2

Calls

Call 1

Inputs
im
(*.f64 im #s(literal 1 binary64))
(fma.f64 im re im)
(fma.f64 re im im)
(.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 re re)))
(fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im)
(fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im)
(*.f64 im (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 im (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) im)
(.f64 (.f64 re #s(literal -1/6 binary64)) (.f64 im (.f64 im im)))
(.f64 im (fma.f64 (.f64 re #s(literal -1/6 binary64)) (*.f64 im im) re))
(.f64 re (fma.f64 (.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im))
(.f64 (.f64 im im) (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))))
(fma.f64 im (.f64 re (.f64 #s(literal -1/6 binary64) (*.f64 im im))) im)
(fma.f64 im (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 im im) re) re) im)
(fma.f64 im (fma.f64 (.f64 im im) (.f64 re #s(literal -1/6 binary64)) re) im)
(fma.f64 im (fma.f64 (.f64 re (.f64 im im)) #s(literal -1/6 binary64) re) im)
(*.f64 im (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 im (fma.f64 (*.f64 im im) (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) re) im)
(fma.f64 im (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) im)
(fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)
(fma.f64 (fma.f64 im (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) re) im im)
(.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (.f64 im im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) im) im)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re im im)))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (fma.f64 (.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im))
(.f64 re (fma.f64 im (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (/.f64 im re)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(fma.f64 im (fma.f64 re (.f64 (.f64 im im) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) re))) re) im)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im)))
(fma.f64 im (.f64 (.f64 im im) (fma.f64 re #s(literal -1/6 binary64) (/.f64 re (*.f64 im im)))) im)
(fma.f64 (.f64 im im) (.f64 (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) im)
(fma.f64 im (.f64 (.f64 im im) (+.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (/.f64 re (*.f64 im im)))) im)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (.f64 im (.f64 re #s(literal -1/6 binary64))) re) im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (*.f64 im (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64))) re) im)))
(fma.f64 im (fma.f64 (.f64 re re) (/.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) re) im)
(.f64 im (fma.f64 (.f64 re (.f64 re (.f64 im im))) (fma.f64 (.f64 im im) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 re re))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (fma.f64 (.f64 im im) (.f64 (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) im))
(.f64 (.f64 im (.f64 im im)) (+.f64 (/.f64 re (.f64 im im)) (fma.f64 re #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im im)))))
(/.f64 (fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 im (.f64 im im)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (+.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (/.f64 re (*.f64 im im)))))
(.f64 im (fma.f64 (.f64 im im) (.f64 (.f64 re (.f64 re (.f64 im im))) (fma.f64 (.f64 im im) #s(literal -1/10080 binary64) #s(literal 1/240 binary64))) (.f64 (.f64 re re) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 im im) (fma.f64 #s(literal 1/6 binary64) (/.f64 re (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))) im))

Outputs

(*.f64 (*.f64 re #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)))

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

Calls

5 calls:

49.0ms	re
43.0ms	(sin.f64 im)
12.0ms	im
11.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
10.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
48.2%	2	`(sin.f64 im)`
42.7%	2	`im`
48.7%	2	`(exp.f64 re)`
50.4%	3	`re`
54.9%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes6.0ms (0%)

Memory

8.8MiB live, 8.8MiB allocated

Counts

17 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
52.6%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes29.0ms (0.2%)

Memory

-17.7MiB live, 21.4MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

4 calls:

19.0ms	(sin.f64 im)
3.0ms	re
3.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
3.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
43.9%	2	`(sin.f64 im)`
38.8%	1	`(exp.f64 re)`
40.7%	2	`re`
44.1%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes3.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
44.0%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes12.0ms (0.1%)

Memory

20.1MiB live, 20.1MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs
im
(.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 re re)))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
39.0%	2	`(exp.f64 re)`
39.0%	2	`re`
32.5%	1	`im`
32.5%	1	`(sin.f64 im)`
39.0%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes6.0ms (0%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
im
(*.f64 im #s(literal 1 binary64))
(fma.f64 im re im)
(fma.f64 re im im)

Outputs
(fma.f64 im re im)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
32.5%	1	`re`
32.5%	1	`(exp.f64 re)`
32.5%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes79.0ms (0.5%)

Memory

-25.2MiB live, 14.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
im
(*.f64 im #s(literal 1 binary64))

Outputs
im

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
26.6%	1	`im`
26.6%	1	`re`
26.6%	1	`(sin.f64 im)`
26.6%	1	`(exp.f64 re)`
26.6%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9998579755544681	+inf
0.0ms	9.222588731479193e-129	1.3853961389357547e-121
0.0ms	-0.00805709107033459	-1.905440693108648e-56
0.0ms	-1.1166345530087825e+185	-21.73328671798478

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9998579755544681	+inf
0.0ms	0.0	9.018695120989604e-306
0.0ms	-0.00805709107033459	-1.905440693108648e-56
0.0ms	-1.1166345530087825e+185	-21.73328671798478

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9998579755544681	+inf
0.0ms	0.0	9.018695120989604e-306
0.0ms	-0.00805709107033459	-1.905440693108648e-56
0.0ms	-1.1166345530087825e+185	-21.73328671798478

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9998579755544681	+inf
0.0ms	0.0	9.018695120989604e-306
0.0ms	-1.905440693108648e-56	0.0
0.0ms	-1.1166345530087825e+185	-21.73328671798478

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9998579755544681	+inf
0.0ms	3.603312053370295e-241	2.1525528525726273e-240
0.0ms	-0.00805709107033459	-1.905440693108648e-56
0.0ms	-1.1166345530087825e+185	-21.73328671798478

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9998579755544681	+inf
0.0ms	3.603312053370295e-241	2.1525528525726273e-240
0.0ms	-0.00805709107033459	-1.905440693108648e-56
0.0ms	-1.1166345530087825e+185	-21.73328671798478

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9998579755544681	+inf
0.0ms	9.222588731479193e-129	1.3853961389357547e-121
0.0ms	-1.905440693108648e-56	0.0
0.0ms	-1.1166345530087825e+185	-21.73328671798478

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9998579755544681	+inf
0.0ms	0.0	9.018695120989604e-306
0.0ms	-1.905440693108648e-56	0.0
0.0ms	-1.1166345530087825e+185	-21.73328671798478

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	9.018695120989604e-306

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	9.018695120989604e-306

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	9.018695120989604e-306

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.07260649465264432	0.11673924529837225

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9842005457813898	0.9860808739162019

Compiler

Compiled 10 to 10 computations (0% saved)

simplify81.0ms (0.5%)

Memory

-18.7MiB live, 20.4MiB allocated

Algorithm

1×	egg-herbie

Rules

42×	`*-commutative_binary64`
12×	`+-commutative_binary64`
10×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	712
1	131	712
2	142	712
3	148	712
4	152	712
5	153	712

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 -99999999999999997961704416875371517110712945186684165206763211895744845478556111003617144611039598507860251139162957211888350975873638026151889477992007905860430885494197722591793250304 binary64)) (.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (.f64 im (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (sin.f64 im)) (.f64 im (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -99999999999999997961704416875371517110712945186684165206763211895744845478556111003617144611039598507860251139162957211888350975873638026151889477992007905860430885494197722591793250304 binary64)) (.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (.f64 im (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 (fma.f64 re (fma.f64 re (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (*.f64 im (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -99999999999999997961704416875371517110712945186684165206763211895744845478556111003617144611039598507860251139162957211888350975873638026151889477992007905860430885494197722591793250304 binary64)) (.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (.f64 im (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (.f64 im (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -99999999999999997961704416875371517110712945186684165206763211895744845478556111003617144611039598507860251139162957211888350975873638026151889477992007905860430885494197722591793250304 binary64)) (.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -4417117661945961/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (.f64 im (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (.f64 im (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -99999999999999997961704416875371517110712945186684165206763211895744845478556111003617144611039598507860251139162957211888350975873638026151889477992007905860430885494197722591793250304 binary64)) (.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1876879207201175/3753758414402350114985578847754628430655879796774751768338949695381315781309615853973705099290165690424277009592352731309591345333151121630880730453319952580019863461295451288668314174944572706159989883958951313077165169522342308559632306943619798833037312 binary64)) (.f64 im (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (/.f64 (sin.f64 im) (-.f64 #s(literal 1 binary64) re)) (*.f64 im (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -99999999999999997961704416875371517110712945186684165206763211895744845478556111003617144611039598507860251139162957211888350975873638026151889477992007905860430885494197722591793250304 binary64)) (.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1876879207201175/3753758414402350114985578847754628430655879796774751768338949695381315781309615853973705099290165690424277009592352731309591345333151121630880730453319952580019863461295451288668314174944572706159989883958951313077165169522342308559632306943619798833037312 binary64)) (.f64 im (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) (.f64 im (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -99999999999999997961704416875371517110712945186684165206763211895744845478556111003617144611039598507860251139162957211888350975873638026151889477992007905860430885494197722591793250304 binary64)) (.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -4417117661945961/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) (sin.f64 im) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (.f64 im (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (sin.f64 im) (.f64 im (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -99999999999999997961704416875371517110712945186684165206763211895744845478556111003617144611039598507860251139162957211888350975873638026151889477992007905860430885494197722591793250304 binary64)) (.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -4417117661945961/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) (sin.f64 im) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (.f64 (.f64 re #s(literal -1/6 binary64)) (.f64 im (.f64 im im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (sin.f64 im) (*.f64 im (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (.f64 (.f64 re #s(literal -1/6 binary64)) (.f64 im (.f64 im im))) (.f64 im (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (.f64 (.f64 re #s(literal -1/6 binary64)) (.f64 im (.f64 im im))) (.f64 im (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im) (.f64 im (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3602879701896397/36028797018963968 binary64)) (fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im) (.f64 im (.f64 #s(literal 1/2 binary64) (.f64 re re))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 8872091265919877/9007199254740992 binary64)) im (.f64 im (.f64 #s(literal 1/2 binary64) (.f64 re re))))
(fma.f64 im re im)
im

Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -99999999999999997961704416875371517110712945186684165206763211895744845478556111003617144611039598507860251139162957211888350975873638026151889477992007905860430885494197722591793250304 binary64)) (.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (.f64 im (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (sin.f64 im)) (.f64 im (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -99999999999999997961704416875371517110712945186684165206763211895744845478556111003617144611039598507860251139162957211888350975873638026151889477992007905860430885494197722591793250304 binary64)) (.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 (sin.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 (sin.f64 im) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (.f64 (exp.f64 re) im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -99999999999999997961704416875371517110712945186684165206763211895744845478556111003617144611039598507860251139162957211888350975873638026151889477992007905860430885494197722591793250304 binary64)) (.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (.f64 im (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 (fma.f64 re (fma.f64 re (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (*.f64 im (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -99999999999999997961704416875371517110712945186684165206763211895744845478556111003617144611039598507860251139162957211888350975873638026151889477992007905860430885494197722591793250304 binary64)) (.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 (sin.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 (sin.f64 im) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (exp.f64 re) im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -99999999999999997961704416875371517110712945186684165206763211895744845478556111003617144611039598507860251139162957211888350975873638026151889477992007905860430885494197722591793250304 binary64)) (.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (.f64 im (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (.f64 im (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -99999999999999997961704416875371517110712945186684165206763211895744845478556111003617144611039598507860251139162957211888350975873638026151889477992007905860430885494197722591793250304 binary64)) (.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 (sin.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 (sin.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (exp.f64 re) im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -99999999999999997961704416875371517110712945186684165206763211895744845478556111003617144611039598507860251139162957211888350975873638026151889477992007905860430885494197722591793250304 binary64)) (.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -4417117661945961/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (.f64 im (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (.f64 im (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -99999999999999997961704416875371517110712945186684165206763211895744845478556111003617144611039598507860251139162957211888350975873638026151889477992007905860430885494197722591793250304 binary64)) (.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -4417117661945961/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) (.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (exp.f64 re) im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -99999999999999997961704416875371517110712945186684165206763211895744845478556111003617144611039598507860251139162957211888350975873638026151889477992007905860430885494197722591793250304 binary64)) (.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1876879207201175/3753758414402350114985578847754628430655879796774751768338949695381315781309615853973705099290165690424277009592352731309591345333151121630880730453319952580019863461295451288668314174944572706159989883958951313077165169522342308559632306943619798833037312 binary64)) (.f64 im (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (/.f64 (sin.f64 im) (-.f64 #s(literal 1 binary64) re)) (*.f64 im (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -99999999999999997961704416875371517110712945186684165206763211895744845478556111003617144611039598507860251139162957211888350975873638026151889477992007905860430885494197722591793250304 binary64)) (.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1876879207201175/3753758414402350114985578847754628430655879796774751768338949695381315781309615853973705099290165690424277009592352731309591345333151121630880730453319952580019863461295451288668314174944572706159989883958951313077165169522342308559632306943619798833037312 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (/.f64 (sin.f64 im) (-.f64 #s(literal 1 binary64) re)) (*.f64 (exp.f64 re) im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -99999999999999997961704416875371517110712945186684165206763211895744845478556111003617144611039598507860251139162957211888350975873638026151889477992007905860430885494197722591793250304 binary64)) (.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1876879207201175/3753758414402350114985578847754628430655879796774751768338949695381315781309615853973705099290165690424277009592352731309591345333151121630880730453319952580019863461295451288668314174944572706159989883958951313077165169522342308559632306943619798833037312 binary64)) (.f64 im (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) (.f64 im (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -99999999999999997961704416875371517110712945186684165206763211895744845478556111003617144611039598507860251139162957211888350975873638026151889477992007905860430885494197722591793250304 binary64)) (.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1876879207201175/3753758414402350114985578847754628430655879796774751768338949695381315781309615853973705099290165690424277009592352731309591345333151121630880730453319952580019863461295451288668314174944572706159989883958951313077165169522342308559632306943619798833037312 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64))) (.f64 (exp.f64 re) im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -99999999999999997961704416875371517110712945186684165206763211895744845478556111003617144611039598507860251139162957211888350975873638026151889477992007905860430885494197722591793250304 binary64)) (.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -4417117661945961/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) (sin.f64 im) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (.f64 im (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (sin.f64 im) (.f64 im (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -99999999999999997961704416875371517110712945186684165206763211895744845478556111003617144611039598507860251139162957211888350975873638026151889477992007905860430885494197722591793250304 binary64)) (.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -4417117661945961/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) (sin.f64 im) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (sin.f64 im) (.f64 (exp.f64 re) im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -99999999999999997961704416875371517110712945186684165206763211895744845478556111003617144611039598507860251139162957211888350975873638026151889477992007905860430885494197722591793250304 binary64)) (.f64 (.f64 im (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -4417117661945961/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) (sin.f64 im) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (.f64 (.f64 re #s(literal -1/6 binary64)) (.f64 im (.f64 im im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (sin.f64 im) (*.f64 im (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (.f64 (.f64 re #s(literal -1/6 binary64)) (.f64 im (.f64 im im))) (.f64 im (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (.f64 (.f64 re #s(literal -1/6 binary64)) (.f64 im (.f64 im im))) (.f64 im (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im) (.f64 im (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (fma.f64 im (.f64 (.f64 im im) #s(literal -1/6 binary64)) im) (.f64 im (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3602879701896397/36028797018963968 binary64)) (fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) im) (.f64 im (.f64 #s(literal 1/2 binary64) (.f64 re re))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3602879701896397/36028797018963968 binary64)) (fma.f64 im (.f64 (.f64 im im) #s(literal -1/6 binary64)) im) (.f64 im (.f64 (.f64 re re) #s(literal 1/2 binary64))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 8872091265919877/9007199254740992 binary64)) im (.f64 im (.f64 #s(literal 1/2 binary64) (.f64 re re))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 8872091265919877/9007199254740992 binary64)) im (.f64 im (.f64 (.f64 re re) #s(literal 1/2 binary64))))
(fma.f64 im re im)
im

soundness9.0s (51.3%)

Memory

28.6MiB live, 1 453.0MiB allocated

Rules

19 890×	`lower-fma.f64`
19 890×	`lower-fma.f32`
17 546×	`lower-fma.f64`
17 546×	`lower-fma.f32`
15 566×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	297
1	221	286
2	586	274
3	1574	268
4	2436	268
5	3110	268
6	3581	268
7	3732	268
8	4021	268
9	5977	268
0	8264	246
0	30	166
0	60	166
1	267	134
2	2236	134
0	8136	134
0	225	1762
1	819	1635
2	3002	1534
3	7535	1532
0	8039	1339
0	17	72
0	34	72
1	132	72
2	1014	72
0	8638	72
0	316	3081
1	1056	2959
2	3789	2797
0	8267	2500
0	481	5022
1	1601	4801
2	6166	4736
0	8281	4290

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

Compiler

Compiled 1 566 to 666 computations (57.5% saved)

preprocess101.0ms (0.6%)

Memory: 2.1MiB live, 153.5MiB allocated
Remove: (negabs im)
Compiler: Compiled 1 470 to 238 computations (83.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

analyze0.0ms (0%)

sample926.0ms (5.3%)

preprocess29.0ms (0.2%)

explain69.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize26.0ms (0.1%)

series4.0ms (0%)

rewrite22.0ms (0.1%)

simplify477.0ms (2.7%)

eval6.0ms (0%)

prune7.0ms (0%)

simplify36.0ms (0.2%)

localize77.0ms (0.4%)

series90.0ms (0.5%)

rewrite469.0ms (2.7%)

simplify573.0ms (3.3%)

eval99.0ms (0.6%)

prune175.0ms (1%)

simplify307.0ms (1.7%)

localize165.0ms (0.9%)

series33.0ms (0.2%)

rewrite370.0ms (2.1%)

simplify658.0ms (3.7%)

eval149.0ms (0.8%)

prune398.0ms (2.3%)

simplify358.0ms (2%)

localize527.0ms (3%)

series69.0ms (0.4%)

rewrite550.0ms (3.1%)

simplify341.0ms (1.9%)

eval149.0ms (0.8%)

prune176.0ms (1%)

regimes115.0ms (0.7%)

regimes209.0ms (1.2%)

regimes66.0ms (0.4%)

regimes62.0ms (0.4%)

regimes35.0ms (0.2%)

regimes15.0ms (0.1%)

regimes57.0ms (0.3%)

regimes70.0ms (0.4%)

regimes166.0ms (0.9%)

regimes128.0ms (0.7%)

regimes6.0ms (0%)

regimes29.0ms (0.2%)

regimes3.0ms (0%)

regimes12.0ms (0.1%)

regimes6.0ms (0%)

regimes79.0ms (0.5%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify81.0ms (0.5%)

soundness9.0s (51.3%)

preprocess101.0ms (0.6%)

end0.0ms (0%)

Profiling

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