Metrics for math.exp on complex, real part

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample1.0s (10.1%)

Memory

-97.1MiB live, 1 651.9MiB allocated

Samples

814.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 613.0ms

ival-cos: 462.0ms (75.4% of total)

ival-exp: 92.0ms (15% of total)

ival-mult: 50.0ms (8.2% of total)

ival-true: 6.0ms (1% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

preprocess52.0ms (0.5%)

Memory

-37.0MiB live, 41.7MiB allocated

Algorithm

2×	egg-herbie

Rules

46×	`sub-neg`
32×	`associate-r`
28×	`+-commutative`
28×	`associate-l`
24×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	39	34
2	72	32
3	108	32
4	166	32
5	206	32
6	250	32
7	284	32
8	295	32
9	295	32
0	5	5
1	6	5
0	6	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* (exp re) (cos im))

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

Call 2

Inputs
(* (exp re) (cos im))
(* (exp (neg re)) (cos im))
(* (exp re) (cos (neg im)))
(neg (* (exp (neg re)) (cos im)))
(neg (* (exp re) (cos (neg im))))
(* (exp im) (cos re))

Outputs
(* (exp re) (cos im))
(* (exp (neg re)) (cos im))
(/ (cos im) (exp re))
(* (exp re) (cos (neg im)))
(* (exp re) (cos im))
(neg (* (exp (neg re)) (cos im)))
(/ (cos im) (neg (exp re)))
(neg (* (exp re) (cos (neg im))))
(* (exp re) (neg (cos im)))
(* (exp im) (cos re))

Symmetry

(abs im)

explain154.0ms (1.5%)

Memory

19.3MiB live, 178.2MiB allocated

FPErrors

Click to see full error table

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

32.0ms

512×

valid

Compiler

Compiled 40 to 24 computations (40% saved)

Precisions

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

ival-cos: 11.0ms (57.3% of total)

ival-exp: 4.0ms (20.8% of total)

ival-mult: 3.0ms (15.6% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`cos-lowering-cos.f32`
2×	`*-commutative`
2×	`exp-lowering-exp.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	6	11
0	6	11

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (exp re) (cos im))
(exp re)
re
(cos im)
im

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

localize23.0ms (0.2%)

Memory

6.7MiB live, 44.9MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

17.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-cos: 6.0ms (65.2% of total)

ival-exp: 2.0ms (21.7% of total)

ival-mult: 1.0ms (10.9% of total)

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

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

series3.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

3 → 48

Calls

Call 1

Inputs
#<alt (* (exp re) (cos im))>
#<alt (exp re)>
#<alt (cos im)>

Outputs
#<alt (cos im)>
#<alt (+ (cos im) (* re (cos im)))>
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))>
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (exp re)>
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))>
#<alt (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>

Calls

12 calls:

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

rewrite31.0ms (0.3%)

Memory

-27.0MiB live, 16.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`cos-lowering-cos.f32`
2×	`*-commutative`
2×	`exp-lowering-exp.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	6	9
0	6	9

Stop Event

1×	iter limit
1×	saturated

Counts

3 → 4

Calls

Call 1

Inputs
(* (exp re) (cos im))
(exp re)
(cos im)

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

simplify443.0ms (4.3%)

Memory

16.4MiB live, 695.4MiB allocated

Algorithm

1×	egg-herbie

Rules

17 940×	`accelerator-lowering-fma.f32`
17 940×	`accelerator-lowering-fma.f64`
3 878×	`-lowering-.f32`
3 878×	`-lowering-.f64`
2 422×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	283
1	178	272
2	461	268
3	1054	264
4	1447	264
5	1857	264
6	2380	264
7	2886	264
8	3528	264
9	5578	264
10	7980	264
0	8041	242

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
1
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)

Outputs
(cos im)
(cos.f64 im)
(+ (cos im) (* re (cos im)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(*.f64 (cos.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)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp re)
(exp.f64 re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(.f64 (exp.f64 re) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(.f64 (exp.f64 re) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(.f64 (exp.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow im 2)))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)

eval6.0ms (0.1%)

Memory: -20.5MiB live, 18.5MiB allocated
Compiler: Compiled 336 to 39 computations (88.4% saved)

prune6.0ms (0.1%)

Memory

24.8MiB live, 24.8MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	46	6	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	7	53

Accuracy

100.0%

Counts

53 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.7%	(*.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)) (cos.f64 im))
▶	59.9%	(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
▶	50.9%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
▶	66.3%	(.f64 (exp.f64 re) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	73.1%	(exp.f64 re)
▶	49.9%	(cos.f64 im)

Compiler

Compiled 115 to 81 computations (29.6% saved)

simplify14.0ms (0.1%)

Memory

-4.3MiB live, 35.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

288×	`-lowering-.f32`
288×	`-lowering-.f64`
272×	`accelerator-lowering-fma.f32`
272×	`accelerator-lowering-fma.f64`
128×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	78
1	45	78
2	89	78
3	203	78
4	271	78
5	321	78
0	321	71

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(exp re)
re
(cos im)
im
(* (+ re 1) (cos im))
(+ re 1)
re
1
(cos im)
im
(* (exp re) (+ (* im (* im -1/2)) 1))
(exp re)
re
(+ (* im (* im -1/2)) 1)
im
(* im -1/2)
-1/2
1
(* (+ (* re (+ (* re 1/2) 1)) 1) (cos im))
(+ (* re (+ (* re 1/2) 1)) 1)
re
(+ (* re 1/2) 1)
1/2
1
(cos im)
im

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

localize62.0ms (0.6%)

Memory

-8.6MiB live, 148.7MiB allocated

Localize:

Found 13 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%	(cos.f64 im)
✓	accuracy	99.9%	(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
✓	accuracy	100.0%	(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 im #s(literal -1/2 binary64))
✓	accuracy	100.0%	(exp.f64 re)
✓	accuracy	93.1%	(.f64 (exp.f64 re) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 re #s(literal 1 binary64))
✓	accuracy	100.0%	(cos.f64 im)
✓	accuracy	99.9%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
✓	accuracy	100.0%	(cos.f64 im)
✓	accuracy	100.0%	(exp.f64 re)

Samples

38.0ms

256×

valid

Compiler

Compiled 73 to 20 computations (72.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 10.0ms (43% of total)

ival-cos: 6.0ms (25.8% of total)

ival-add: 4.0ms (17.2% of total)

ival-exp: 2.0ms (8.6% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.1%)

Memory

-3.1MiB live, 37.4MiB allocated

Counts

10 → 156

Calls

Call 1

Inputs
#<alt (exp re)>
#<alt (cos im)>
#<alt (* (+ re 1) (cos im))>
#<alt (+ re 1)>
#<alt (* (exp re) (+ (* im (* im -1/2)) 1))>
#<alt (+ (* im (* im -1/2)) 1)>
#<alt (* im -1/2)>
#<alt (* (+ (* re (+ (* re 1/2) 1)) 1) (cos im))>
#<alt (+ (* re (+ (* re 1/2) 1)) 1)>
#<alt (+ (* re 1/2) 1)>

Outputs
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))>
#<alt (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (+ (cos im) (* re (cos im)))>
#<alt (+ (cos im) (* re (cos im)))>
#<alt (+ (cos im) (* re (cos im)))>
#<alt (* re (cos im))>
#<alt (* re (+ (cos im) (/ (cos im) re)))>
#<alt (* re (+ (cos im) (/ (cos im) re)))>
#<alt (* re (+ (cos im) (/ (cos im) re)))>
#<alt (* re (cos im))>
#<alt (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))>
#<alt (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))>
#<alt (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))>
#<alt (+ 1 re)>
#<alt (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))>
#<alt (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))>
#<alt (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 re))) (* 1/24 (+ 1 re))))))))>
#<alt (* (cos im) (+ 1 re))>
#<alt (* (cos im) (+ 1 re))>
#<alt (* (cos im) (+ 1 re))>
#<alt (* (cos im) (+ 1 re))>
#<alt (* (cos im) (+ 1 re))>
#<alt (* (cos im) (+ 1 re))>
#<alt (* (cos im) (+ 1 re))>
#<alt (* (cos im) (+ 1 re))>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 re)>
#<alt (+ 1 re)>
#<alt re>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt re>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2))))))>
#<alt (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* 1/2 (* re (+ 1 (* -1/2 (pow im 2))))))))))>
#<alt (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ (* 1/6 (* re (+ 1 (* -1/2 (pow im 2))))) (* 1/2 (+ 1 (* -1/2 (pow im 2)))))))))))>
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))>
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))>
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))>
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))>
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))>
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))>
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))>
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))>
#<alt (exp re)>
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))>
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))>
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))>
#<alt (* -1/2 (* (pow im 2) (exp re)))>
#<alt (* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))>
#<alt (* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))>
#<alt (* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))>
#<alt (* -1/2 (* (pow im 2) (exp re)))>
#<alt (* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))>
#<alt (* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))>
#<alt (* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (* -1/2 (pow im 2))>
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))>
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))>
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))>
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))>
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (cos im)>
#<alt (+ (cos im) (* re (cos im)))>
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))>
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))>
#<alt (* 1/2 (* (pow re 2) (cos im)))>
#<alt (* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re)))>
#<alt (* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2)))))>
#<alt (* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2)))))>
#<alt (* 1/2 (* (pow re 2) (cos im)))>
#<alt (* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re)))>
#<alt (* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))))>
#<alt (* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))))>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* re (+ 1 (* 1/2 re)))))>
#<alt (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (* 1/24 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re))))))))))>
#<alt (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* 1/24 (+ 1 (* re (+ 1 (* 1/2 re)))))))))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (* 1/2 (pow re 2))>
#<alt (* (pow re 2) (+ 1/2 (/ 1 re)))>
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))>
#<alt (* 1/2 (pow re 2))>
#<alt (* (pow re 2) (+ 1/2 (/ 1 re)))>
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 re))>
#<alt (+ 1 (* 1/2 re))>
#<alt (+ 1 (* 1/2 re))>
#<alt (* 1/2 re)>
#<alt (* re (+ 1/2 (/ 1 re)))>
#<alt (* re (+ 1/2 (/ 1 re)))>
#<alt (* re (+ 1/2 (/ 1 re)))>
#<alt (* 1/2 re)>
#<alt (* re (+ 1/2 (/ 1 re)))>
#<alt (* re (+ 1/2 (/ 1 re)))>
#<alt (* re (+ 1/2 (/ 1 re)))>

Calls

39 calls:

Time	Variable		Point	Expression
3.0ms	re	@	-inf	(* (+ (* re (+ (* re 1/2) 1)) 1) (cos im))
1.0ms	re	@	0	(* (+ (* re (+ (* re 1/2) 1)) 1) (cos im))
1.0ms	im	@	0	(* (+ re 1) (cos im))
1.0ms	re	@	inf	(* (exp re) (+ (* im (* im -1/2)) 1))
1.0ms	im	@	inf	(* (+ (* re (+ (* re 1/2) 1)) 1) (cos im))

rewrite359.0ms (3.5%)

Memory

40.6MiB live, 673.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 602×	`accelerator-lowering-fma.f32`
7 602×	`accelerator-lowering-fma.f64`
4 732×	`-lowering-.f32`
4 732×	`-lowering-.f64`
2 856×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	59
1	87	59
2	682	59
3	6693	59
0	8260	52

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 504

Calls

Call 1

Inputs
(exp re)
(cos im)
(* (+ re 1) (cos im))
(+ re 1)
(* (exp re) (+ (* im (* im -1/2)) 1))
(+ (* im (* im -1/2)) 1)
(* im -1/2)
(* (+ (* re (+ (* re 1/2) 1)) 1) (cos im))
(+ (* re (+ (* re 1/2) 1)) 1)
(+ (* re 1/2) 1)

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

simplify607.0ms (5.8%)

Memory

25.9MiB live, 755.3MiB allocated

Algorithm

1×	egg-herbie

Rules

17 716×	`accelerator-lowering-fma.f32`
17 716×	`accelerator-lowering-fma.f64`
3 930×	`-lowering-.f32`
3 930×	`-lowering-.f64`
3 214×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	143	1216
1	480	1138
2	1628	1110
3	5138	1094
4	7569	1094
0	8368	971

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
1
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (cos im)))
(* re (cos im))
(* re (+ (cos im) (/ (cos im) re)))
(* re (+ (cos im) (/ (cos im) re)))
(* re (+ (cos im) (/ (cos im) re)))
(* re (cos im))
(* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))
(* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))
(* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))
(+ 1 re)
(+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))
(+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))
(+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 re))) (* 1/24 (+ 1 re))))))))
(* (cos im) (+ 1 re))
(* (cos im) (+ 1 re))
(* (cos im) (+ 1 re))
(* (cos im) (+ 1 re))
(* (cos im) (+ 1 re))
(* (cos im) (+ 1 re))
(* (cos im) (+ 1 re))
(* (cos 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)))
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2))))))
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* 1/2 (* re (+ 1 (* -1/2 (pow im 2))))))))))
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ (* 1/6 (* re (+ 1 (* -1/2 (pow im 2))))) (* 1/2 (+ 1 (* -1/2 (pow im 2)))))))))))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(* -1/2 (* (pow im 2) (exp re)))
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))
(* -1/2 (* (pow im 2) (exp re)))
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))
1
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* -1/2 (pow im 2)))
(* -1/2 (pow im 2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(* -1/2 (pow im 2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(* 1/2 (* (pow re 2) (cos im)))
(* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re)))
(* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2)))))
(* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2)))))
(* 1/2 (* (pow re 2) (cos im)))
(* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re)))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))))
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* re (+ 1 (* 1/2 re)))))
(+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (* 1/24 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re))))))))))
(+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* 1/24 (+ 1 (* re (+ 1 (* 1/2 re)))))))))))
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))
(* (cos 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
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow im 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(+ (cos im) (* re (cos im)))
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
(+ (cos im) (* re (cos im)))
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
(+ (cos im) (* re (cos im)))
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
(* re (cos im))
(*.f64 re (cos.f64 im))
(* re (+ (cos im) (/ (cos im) re)))
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
(* re (+ (cos im) (/ (cos im) re)))
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
(* re (+ (cos im) (/ (cos im) re)))
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
(* re (cos im))
(*.f64 re (cos.f64 im))
(* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
(* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
(* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))
(.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))
(.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 re))) (* 1/24 (+ 1 re))))))))
(fma.f64 (.f64 im im) (.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) re))
(* (cos im) (+ 1 re))
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
(* (cos im) (+ 1 re))
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
(* (cos im) (+ 1 re))
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
(* (cos im) (+ 1 re))
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
(* (cos im) (+ 1 re))
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
(* (cos im) (+ 1 re))
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
(* (cos im) (+ 1 re))
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
(* (cos im) (+ 1 re))
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
re
(* re (+ 1 (/ 1 re)))
(+.f64 #s(literal 1 binary64) re)
(* re (+ 1 (/ 1 re)))
(+.f64 #s(literal 1 binary64) re)
(* re (+ 1 (/ 1 re)))
(+.f64 #s(literal 1 binary64) re)
re
(* re (+ 1 (/ 1 re)))
(+.f64 #s(literal 1 binary64) re)
(* re (+ 1 (/ 1 re)))
(+.f64 #s(literal 1 binary64) re)
(* re (+ 1 (/ 1 re)))
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* -1/2 (pow im 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2))))))
(.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* 1/2 (* re (+ 1 (* -1/2 (pow im 2))))))))))
(fma.f64 re (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ (* 1/6 (* re (+ 1 (* -1/2 (pow im 2))))) (* 1/2 (+ 1 (* -1/2 (pow im 2)))))))))))
(fma.f64 re (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #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 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(exp re)
(exp.f64 re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(* -1/2 (* (pow im 2) (exp re)))
(.f64 #s(literal -1/2 binary64) (.f64 im (*.f64 (exp.f64 re) im)))
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))
(.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))
(.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))
(.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(* -1/2 (* (pow im 2) (exp re)))
(.f64 #s(literal -1/2 binary64) (.f64 im (*.f64 (exp.f64 re) im)))
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))
(.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))
(.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))
(.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow im 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow im 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow im 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(* -1/2 (pow im 2))
(.f64 #s(literal -1/2 binary64) (.f64 im im))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(* -1/2 (pow im 2))
(.f64 #s(literal -1/2 binary64) (.f64 im im))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(* -1/2 im)
(*.f64 #s(literal -1/2 binary64) im)
(* -1/2 im)
(*.f64 #s(literal -1/2 binary64) im)
(* -1/2 im)
(*.f64 #s(literal -1/2 binary64) im)
(* -1/2 im)
(*.f64 #s(literal -1/2 binary64) im)
(* -1/2 im)
(*.f64 #s(literal -1/2 binary64) im)
(* -1/2 im)
(*.f64 #s(literal -1/2 binary64) im)
(* -1/2 im)
(*.f64 #s(literal -1/2 binary64) im)
(* -1/2 im)
(*.f64 #s(literal -1/2 binary64) im)
(* -1/2 im)
(*.f64 #s(literal -1/2 binary64) im)
(* -1/2 im)
(*.f64 #s(literal -1/2 binary64) im)
(* -1/2 im)
(*.f64 #s(literal -1/2 binary64) im)
(* -1/2 im)
(*.f64 #s(literal -1/2 binary64) im)
(cos im)
(cos.f64 im)
(+ (cos im) (* re (cos im)))
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(* 1/2 (* (pow re 2) (cos im)))
(.f64 re (.f64 re (*.f64 #s(literal 1/2 binary64) (cos.f64 im))))
(* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re)))
(.f64 re (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 im)))
(* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2)))))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2)))))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(* 1/2 (* (pow re 2) (cos im)))
(.f64 re (.f64 re (*.f64 #s(literal 1/2 binary64) (cos.f64 im))))
(* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re)))
(.f64 re (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 im)))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(+ 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 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* re (+ 1 (* 1/2 re)))))
(.f64 (fma.f64 #s(literal -1/2 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)))
(+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (* 1/24 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re))))))))))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* 1/24 (+ 1 (* re (+ 1 (* 1/2 re)))))))))))
(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)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow re 2))
(.f64 re (.f64 re #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow re 2))
(.f64 re (.f64 re #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 re))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 re))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 re))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))

eval111.0ms (1.1%)

Memory: 39.0MiB live, 195.7MiB allocated
Compiler: Compiled 15 705 to 1 594 computations (89.9% saved)

prune137.0ms (1.3%)

Memory

7.9MiB live, 196.9MiB allocated

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	694	15	709
Fresh	0	1	1
Picked	1	4	5
Done	0	1	1
Total	695	21	716

Accuracy

100.0%

Counts

716 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.7%	(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
	30.0%	(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
▶	38.8%	(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
	36.2%	(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
	30.8%	(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
	59.6%	(/.f64 (*.f64 (cos.f64 im) (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal -1 binary64)))
	29.8%	(+.f64 #s(literal 1 binary64) re)
▶	63.7%	(*.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)) (cos.f64 im))
▶	38.0%	(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	36.0%	(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	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 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	59.9%	(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
	33.1%	(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
▶	31.1%	(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	32.6%	(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
✓	50.9%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
	29.2%	(.f64 (exp.f64 re) (.f64 #s(literal -1/2 binary64) (*.f64 im im)))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	73.1%	(exp.f64 re)
✓	49.9%	(cos.f64 im)
▶	29.3%	#s(literal 1 binary64)

Compiler

Compiled 475 to 297 computations (37.5% saved)

simplify1.1s (10.3%)

Memory

1.5MiB live, 1 179.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Program
✓	cost-diff	(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	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)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	(*.f64 im im)
✓	cost-diff	(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	(+.f64 re #s(literal 1 binary64))
✓	cost-diff	(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	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	(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)) (cos.f64 im))

Rules

27 890×	`accelerator-lowering-fma.f32`
27 890×	`accelerator-lowering-fma.f64`
6 996×	`+-lowering-+.f64`
6 996×	`+-lowering-+.f32`
5 584×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	222
1	112	222
2	368	222
3	1291	222
4	2672	222
5	3266	222
6	3539	222
7	3673	222
8	3673	222
9	6493	222
10	6565	222
11	6565	222
12	6746	222
13	6746	222
14	6746	222
0	8944	188

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (cos im))
(+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1)
re
(+ (* re (+ (* re 1/6) 1/2)) 1)
(+ (* re 1/6) 1/2)
1/6
1/2
1
(cos im)
im
1
(+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1)
re
(+ (* re (+ (* re 1/6) 1/2)) 1)
(+ (* re 1/6) 1/2)
1/6
1/2
1
(* (+ re 1) (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1))
(+ re 1)
re
1
(+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1)
(* im im)
im
(+ (* (* im im) 1/24) -1/2)
1/24
-1/2
(* (+ (* re (+ (* re 1/2) 1)) 1) (+ (* (* im im) (+ (* (* im im) (+ (* (* im im) -1/720) 1/24)) -1/2)) 1))
(+ (* re (+ (* re 1/2) 1)) 1)
re
(+ (* re 1/2) 1)
1/2
1
(+ (* (* im im) (+ (* (* im im) (+ (* (* im im) -1/720) 1/24)) -1/2)) 1)
(* im im)
im
(+ (* (* im im) (+ (* (* im im) -1/720) 1/24)) -1/2)
(+ (* (* im im) -1/720) 1/24)
-1/720
1/24
-1/2

Outputs
(* (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (cos 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)) (cos.f64 im))
(+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 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))
re
(+ (* re (+ (* re 1/6) 1/2)) 1)
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ (* re 1/6) 1/2)
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
1/6
#s(literal 1/6 binary64)
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
(cos im)
(cos.f64 im)
im
1
#s(literal 1 binary64)
(+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 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))
re
(+ (* re (+ (* re 1/6) 1/2)) 1)
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ (* re 1/6) 1/2)
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
1/6
#s(literal 1/6 binary64)
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
(* (+ re 1) (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+ re 1)
(+.f64 re #s(literal 1 binary64))
re
1
#s(literal 1 binary64)
(+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1)
(fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(* im im)
(*.f64 im im)
im
(+ (* (* im im) 1/24) -1/2)
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
1/24
#s(literal 1/24 binary64)
-1/2
#s(literal -1/2 binary64)
(* (+ (* re (+ (* re 1/2) 1)) 1) (+ (* (* im im) (+ (* (* im im) (+ (* (* im im) -1/720) 1/24)) -1/2)) 1))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ (* re (+ (* re 1/2) 1)) 1)
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
re
(+ (* re 1/2) 1)
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
(+ (* (* im im) (+ (* (* im im) (+ (* (* im im) -1/720) 1/24)) -1/2)) 1)
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* im im)
(*.f64 im im)
im
(+ (* (* im im) (+ (* (* im im) -1/720) 1/24)) -1/2)
(fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(+ (* (* im im) -1/720) 1/24)
(fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
-1/720
#s(literal -1/720 binary64)
1/24
#s(literal 1/24 binary64)
-1/2
#s(literal -1/2 binary64)

localize131.0ms (1.3%)

Memory

35.7MiB live, 339.7MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
✓	accuracy	99.8%	(fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
✓	accuracy	100.0%	(*.f64 im im)
✓	accuracy	100.0%	(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 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%	(fma.f64 re (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	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 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
✓	accuracy	99.9%	(fma.f64 re (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))

Samples

77.0ms

256×

valid

Compiler

Compiled 190 to 36 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 21.0ms (35.8% of total)

ival-add: 19.0ms (32.4% of total)

const: 12.0ms (20.5% of total)

ival-cos: 6.0ms (10.2% of total)

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.2%)

Memory

5.6MiB live, 46.4MiB allocated

Counts

15 → 216

Calls

Call 1

Inputs
#<alt (* (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (cos im))>
#<alt (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1)>
#<alt (+ (* re (+ (* re 1/6) 1/2)) 1)>
#<alt (+ (* re 1/6) 1/2)>
#<alt (* (+ re 1) (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1))>
#<alt (+ re 1)>
#<alt (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1)>
#<alt (* im im)>
#<alt (* (+ (* re (+ (* re 1/2) 1)) 1) (+ (* (* im im) (+ (* (* im im) (+ (* (* im im) -1/720) 1/24)) -1/2)) 1))>
#<alt (+ (* re (+ (* re 1/2) 1)) 1)>
#<alt (+ (* re 1/2) 1)>
#<alt (+ (* (* im im) (+ (* (* im im) (+ (* (* im im) -1/720) 1/24)) -1/2)) 1)>
#<alt (+ (* (* im im) 1/24) -1/2)>
#<alt (+ (* (* im im) -1/720) 1/24)>
#<alt (+ (* (* im im) (+ (* (* im im) -1/720) 1/24)) -1/2)>

Outputs
#<alt (cos im)>
#<alt (+ (cos im) (* re (cos im)))>
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))>
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))>
#<alt (* 1/6 (* (pow re 3) (cos im)))>
#<alt (* (pow re 3) (+ (* 1/6 (cos im)) (* 1/2 (/ (cos im) re))))>
#<alt (* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (/ (cos im) (pow re 2)))))>
#<alt (* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (+ (/ (cos im) (pow re 2)) (/ (cos im) (pow re 3))))))>
#<alt (* 1/6 (* (pow re 3) (cos im)))>
#<alt (* -1 (* (pow re 3) (+ (* -1/2 (/ (cos im) re)) (* -1/6 (cos im)))))>
#<alt (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 (cos im)) (/ (cos im) re)) re)) (* -1/6 (cos im)))))>
#<alt (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))) re)) (* -1/6 (cos im)))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))>
#<alt (+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (* 1/24 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))))))>
#<alt (+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* 1/24 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))))))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))>
#<alt 1>
#<alt (+ 1 (* 1/2 re))>
#<alt (+ 1 (* re (+ 1/2 (* 1/6 re))))>
#<alt (+ 1 (* re (+ 1/2 (* 1/6 re))))>
#<alt (* 1/6 (pow re 2))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* 1/6 (pow re 2))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 re))>
#<alt (+ 1/2 (* 1/6 re))>
#<alt (+ 1/2 (* 1/6 re))>
#<alt (* 1/6 re)>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* 1/6 re)>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))>
#<alt (+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))))>
#<alt (+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))))>
#<alt (+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))))>
#<alt (* re (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))))>
#<alt (* re (+ 1 (+ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) (+ (/ 1 re) (/ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) re)))))>
#<alt (* re (+ 1 (+ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) (+ (/ 1 re) (/ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) re)))))>
#<alt (* re (+ 1 (+ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) (+ (/ 1 re) (/ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) re)))))>
#<alt (* re (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))))>
#<alt (* -1 (* re (+ (* -1 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* -1 (/ (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) re)))))>
#<alt (* -1 (* re (+ (* -1 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* -1 (/ (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) re)))))>
#<alt (* -1 (* re (+ (* -1 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* -1 (/ (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) re)))))>
#<alt (+ 1 re)>
#<alt (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))>
#<alt (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))>
#<alt (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))>
#<alt (* 1/24 (* (pow im 4) (+ 1 re)))>
#<alt (* (pow im 4) (+ (* -1/2 (/ (+ 1 re) (pow im 2))) (* 1/24 (+ 1 re))))>
#<alt (* (pow im 4) (+ (* -1/2 (/ (+ 1 re) (pow im 2))) (+ (* 1/24 (+ 1 re)) (+ (/ 1 (pow im 4)) (/ re (pow im 4))))))>
#<alt (* (pow im 4) (+ (* -1/2 (/ (+ 1 re) (pow im 2))) (+ (* 1/24 (+ 1 re)) (+ (/ 1 (pow im 4)) (/ re (pow im 4))))))>
#<alt (* 1/24 (* (pow im 4) (+ 1 re)))>
#<alt (* (pow im 4) (+ (* -1/2 (/ (+ 1 re) (pow im 2))) (* 1/24 (+ 1 re))))>
#<alt (* (pow im 4) (+ (* -1/2 (/ (+ 1 re) (pow im 2))) (+ (* 1/24 (+ 1 re)) (+ (/ 1 (pow im 4)) (/ re (pow im 4))))))>
#<alt (* (pow im 4) (+ (* -1/2 (/ (+ 1 re) (pow im 2))) (+ (* 1/24 (+ 1 re)) (+ (/ 1 (pow im 4)) (/ re (pow im 4))))))>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 re)>
#<alt (+ 1 re)>
#<alt re>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt re>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))>
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))>
#<alt (* 1/24 (pow im 4))>
#<alt (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* 1/24 (pow im 4))>
#<alt (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))>
#<alt (+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))) (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))))>
#<alt (+ 1 (+ (* re (+ 1 (+ (* 1/2 (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))))) (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))))) (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))))>
#<alt (+ 1 (+ (* re (+ 1 (+ (* 1/2 (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))))) (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))))) (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))))>
#<alt (* 1/2 (* (pow re 2) (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))>
#<alt (* (pow re 2) (+ (* 1/2 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))) (+ (/ 1 re) (/ (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) re))))>
#<alt (* (pow re 2) (+ (* 1/2 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))) (+ (/ 1 re) (+ (/ 1 (pow re 2)) (+ (/ (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) re) (/ (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) (pow re 2)))))))>
#<alt (* (pow re 2) (+ (* 1/2 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))) (+ (/ 1 re) (+ (/ 1 (pow re 2)) (+ (/ (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) re) (/ (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) (pow re 2)))))))>
#<alt (* 1/2 (* (pow re 2) (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))>
#<alt (* (pow re 2) (+ (* 1/2 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))) (+ (/ 1 re) (/ (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) re))))>
#<alt (* (pow re 2) (+ (* -1 (/ (+ (* -1 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))) (* -1 (/ (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) re))) re)) (* 1/2 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))))))>
#<alt (* (pow re 2) (+ (* -1 (/ (+ (* -1 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))) (* -1 (/ (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) re))) re)) (* 1/2 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))))))>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* re (+ 1 (* 1/2 re)))))>
#<alt (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (* 1/24 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re))))))))))>
#<alt (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* 1/24 (+ 1 (* re (+ 1 (* 1/2 re)))))))))))>
#<alt (* -1/720 (* (pow im 6) (+ 1 (* re (+ 1 (* 1/2 re))))))>
#<alt (* (pow im 6) (+ (* -1/720 (+ 1 (* re (+ 1 (* 1/2 re))))) (* 1/24 (/ (+ 1 (* re (+ 1 (* 1/2 re)))) (pow im 2)))))>
#<alt (* (pow im 6) (+ (* -1/2 (/ (+ 1 (* re (+ 1 (* 1/2 re)))) (pow im 4))) (+ (* -1/720 (+ 1 (* re (+ 1 (* 1/2 re))))) (* 1/24 (/ (+ 1 (* re (+ 1 (* 1/2 re)))) (pow im 2))))))>
#<alt (* (pow im 6) (+ (* -1/2 (/ (+ 1 (* re (+ 1 (* 1/2 re)))) (pow im 4))) (+ (* -1/720 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (* 1/24 (/ (+ 1 (* re (+ 1 (* 1/2 re)))) (pow im 2))) (+ (/ 1 (pow im 6)) (/ (* re (+ 1 (* 1/2 re))) (pow im 6)))))))>
#<alt (* -1/720 (* (pow im 6) (+ 1 (* re (+ 1 (* 1/2 re))))))>
#<alt (* (pow im 6) (+ (* -1/720 (+ 1 (* re (+ 1 (* 1/2 re))))) (* 1/24 (/ (+ 1 (* re (+ 1 (* 1/2 re)))) (pow im 2)))))>
#<alt (* (pow im 6) (+ (* -1/2 (/ (+ 1 (* re (+ 1 (* 1/2 re)))) (pow im 4))) (+ (* -1/720 (+ 1 (* re (+ 1 (* 1/2 re))))) (* 1/24 (/ (+ 1 (* re (+ 1 (* 1/2 re)))) (pow im 2))))))>
#<alt (* (pow im 6) (+ (* -1/2 (/ (+ 1 (* re (+ 1 (* 1/2 re)))) (pow im 4))) (+ (* -1/720 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (* 1/24 (/ (+ 1 (* re (+ 1 (* 1/2 re)))) (pow im 2))) (+ (/ 1 (pow im 6)) (/ (* re (+ 1 (* 1/2 re))) (pow im 6)))))))>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (* 1/2 (pow re 2))>
#<alt (* (pow re 2) (+ 1/2 (/ 1 re)))>
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))>
#<alt (* 1/2 (pow re 2))>
#<alt (* (pow re 2) (+ 1/2 (/ 1 re)))>
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 re))>
#<alt (+ 1 (* 1/2 re))>
#<alt (+ 1 (* 1/2 re))>
#<alt (* 1/2 re)>
#<alt (* re (+ 1/2 (/ 1 re)))>
#<alt (* re (+ 1/2 (/ 1 re)))>
#<alt (* re (+ 1/2 (/ 1 re)))>
#<alt (* 1/2 re)>
#<alt (* re (+ 1/2 (/ 1 re)))>
#<alt (* re (+ 1/2 (/ 1 re)))>
#<alt (* re (+ 1/2 (/ 1 re)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))>
#<alt (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))>
#<alt (* -1/720 (pow im 6))>
#<alt (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) 1/720))>
#<alt (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))>
#<alt (* (pow im 6) (- (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/720 (/ 1/2 (pow im 4)))))>
#<alt (* -1/720 (pow im 6))>
#<alt (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) 1/720))>
#<alt (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))>
#<alt (* (pow im 6) (- (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/720 (/ 1/2 (pow im 4)))))>
#<alt -1/2>
#<alt (- (* 1/24 (pow im 2)) 1/2)>
#<alt (- (* 1/24 (pow im 2)) 1/2)>
#<alt (- (* 1/24 (pow im 2)) 1/2)>
#<alt (* 1/24 (pow im 2))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* 1/24 (pow im 2))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt 1/24>
#<alt (+ 1/24 (* -1/720 (pow im 2)))>
#<alt (+ 1/24 (* -1/720 (pow im 2)))>
#<alt (+ 1/24 (* -1/720 (pow im 2)))>
#<alt (* -1/720 (pow im 2))>
#<alt (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))>
#<alt (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))>
#<alt (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))>
#<alt (* -1/720 (pow im 2))>
#<alt (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))>
#<alt (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))>
#<alt (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))>
#<alt -1/2>
#<alt (- (* 1/24 (pow im 2)) 1/2)>
#<alt (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)>
#<alt (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)>
#<alt (* -1/720 (pow im 4))>
#<alt (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))>
#<alt (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))>
#<alt (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))>
#<alt (* -1/720 (pow im 4))>
#<alt (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))>
#<alt (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))>
#<alt (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))>

Calls

54 calls:

Time	Variable		Point	Expression
4.0ms	im	@	-inf	(* (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (cos im))
3.0ms	re	@	0	(* (+ (* re (+ (* re 1/2) 1)) 1) (+ (* (* im im) (+ (* (* im im) (+ (* (* im im) -1/720) 1/24)) -1/2)) 1))
1.0ms	im	@	inf	(* (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (cos im))
1.0ms	im	@	0	(* (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (cos im))
1.0ms	im	@	inf	(* (+ (* re (+ (* re 1/2) 1)) 1) (+ (* (* im im) (+ (* (* im im) (+ (* (* im im) -1/720) 1/24)) -1/2)) 1))

rewrite491.0ms (4.7%)

Memory

-3.2MiB live, 919.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 344×	`accelerator-lowering-fma.f32`
6 344×	`accelerator-lowering-fma.f64`
4 356×	`-lowering-.f32`
4 356×	`-lowering-.f64`
3 762×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	168
1	237	168
2	2228	168
0	8802	140

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 749

Calls

Call 1

Inputs
(* (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (cos im))
(+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1)
(+ (* re (+ (* re 1/6) 1/2)) 1)
(+ (* re 1/6) 1/2)
(* (+ re 1) (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1))
(+ re 1)
(+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1)
(* im im)
(* (+ (* re (+ (* re 1/2) 1)) 1) (+ (* (* im im) (+ (* (* im im) (+ (* (* im im) -1/720) 1/24)) -1/2)) 1))
(+ (* re (+ (* re 1/2) 1)) 1)
(+ (* re 1/2) 1)
(+ (* (* im im) (+ (* (* im im) (+ (* (* im im) -1/720) 1/24)) -1/2)) 1)
(+ (* (* im im) 1/24) -1/2)
(+ (* (* im im) -1/720) 1/24)
(+ (* (* im im) (+ (* (* im im) -1/720) 1/24)) -1/2)

Outputs
(+.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) (.f64 (cos.f64 im) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))
(+.f64 (.f64 (cos.f64 im) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re)) (*.f64 (cos.f64 im) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (cos.f64 im)))
(+.f64 (.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (cos.f64 im)))
(fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (cos.f64 im) (.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (.f64 (cos.f64 im) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re)))
(fma.f64 (cos.f64 im) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) re) (.f64 (cos.f64 im) #s(literal 1 binary64)))
(/.f64 (.f64 (cos.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 (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 (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 (cos.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 (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 (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)) (cos.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)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 im (.f64 (.f64 im (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))))) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 im (.f64 (.f64 im (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))))) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (/.f64 (.f64 im (.f64 (.f64 im (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))))) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 im (.f64 (.f64 im (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))))) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))))
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(pow.f64 (/.f64 (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (fma.f64 (.f64 im im) (.f64 (.f64 im (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 im (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (.f64 im (.f64 (.f64 im (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 im im) (.f64 (.f64 im (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 im (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1/4 binary64)) (.f64 im (.f64 (.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))))
(.f64 (fma.f64 (.f64 im im) (.f64 (.f64 im (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 im (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))

simplify544.0ms (5.2%)

Memory

-66.9MiB live, 785.3MiB allocated

Algorithm

1×	egg-herbie

Rules

13 992×	`accelerator-lowering-fma.f32`
13 992×	`accelerator-lowering-fma.f64`
5 452×	`-lowering-.f32`
5 452×	`-lowering-.f64`
3 274×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	278	3272
1	952	3170
2	3584	2762
3	6775	2758
0	8660	2459

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(* 1/6 (* (pow re 3) (cos im)))
(* (pow re 3) (+ (* 1/6 (cos im)) (* 1/2 (/ (cos im) re))))
(* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (/ (cos im) (pow re 2)))))
(* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (+ (/ (cos im) (pow re 2)) (/ (cos im) (pow re 3))))))
(* 1/6 (* (pow re 3) (cos im)))
(* -1 (* (pow re 3) (+ (* -1/2 (/ (cos im) re)) (* -1/6 (cos im)))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 (cos im)) (/ (cos im) re)) re)) (* -1/6 (cos im)))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))) re)) (* -1/6 (cos im)))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (* 1/24 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))))))
(+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* 1/24 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))))))))
(* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* (cos 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))))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))))
(+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))))
(+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))))
(* re (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))))
(* re (+ 1 (+ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) (+ (/ 1 re) (/ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) re)))))
(* re (+ 1 (+ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) (+ (/ 1 re) (/ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) re)))))
(* re (+ 1 (+ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) (+ (/ 1 re) (/ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) re)))))
(* re (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))))
(* -1 (* re (+ (* -1 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* -1 (/ (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) re)))))
(* -1 (* re (+ (* -1 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* -1 (/ (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) re)))))
(* -1 (* re (+ (* -1 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* -1 (/ (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) re)))))
(+ 1 re)
(+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))
(+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))
(+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))
(* 1/24 (* (pow im 4) (+ 1 re)))
(* (pow im 4) (+ (* -1/2 (/ (+ 1 re) (pow im 2))) (* 1/24 (+ 1 re))))
(* (pow im 4) (+ (* -1/2 (/ (+ 1 re) (pow im 2))) (+ (* 1/24 (+ 1 re)) (+ (/ 1 (pow im 4)) (/ re (pow im 4))))))
(* (pow im 4) (+ (* -1/2 (/ (+ 1 re) (pow im 2))) (+ (* 1/24 (+ 1 re)) (+ (/ 1 (pow im 4)) (/ re (pow im 4))))))
(* 1/24 (* (pow im 4) (+ 1 re)))
(* (pow im 4) (+ (* -1/2 (/ (+ 1 re) (pow im 2))) (* 1/24 (+ 1 re))))
(* (pow im 4) (+ (* -1/2 (/ (+ 1 re) (pow im 2))) (+ (* 1/24 (+ 1 re)) (+ (/ 1 (pow im 4)) (/ re (pow im 4))))))
(* (pow im 4) (+ (* -1/2 (/ (+ 1 re) (pow im 2))) (+ (* 1/24 (+ 1 re)) (+ (/ 1 (pow im 4)) (/ re (pow im 4))))))
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)))
1
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(* 1/24 (pow im 4))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(* 1/24 (pow im 4))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 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)
(pow im 2)
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))) (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))))
(+ 1 (+ (* re (+ 1 (+ (* 1/2 (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))))) (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))))) (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))))
(+ 1 (+ (* re (+ 1 (+ (* 1/2 (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))))) (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))))) (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))))
(* 1/2 (* (pow re 2) (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
(* (pow re 2) (+ (* 1/2 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))) (+ (/ 1 re) (/ (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) re))))
(* (pow re 2) (+ (* 1/2 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))) (+ (/ 1 re) (+ (/ 1 (pow re 2)) (+ (/ (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) re) (/ (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) (pow re 2)))))))
(* (pow re 2) (+ (* 1/2 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))) (+ (/ 1 re) (+ (/ 1 (pow re 2)) (+ (/ (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) re) (/ (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) (pow re 2)))))))
(* 1/2 (* (pow re 2) (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
(* (pow re 2) (+ (* 1/2 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))) (+ (/ 1 re) (/ (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) re))))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))) (* -1 (/ (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) re))) re)) (* 1/2 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))))))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))) (* -1 (/ (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) re))) re)) (* 1/2 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))))))
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* re (+ 1 (* 1/2 re)))))
(+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (* 1/24 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re))))))))))
(+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* 1/24 (+ 1 (* re (+ 1 (* 1/2 re)))))))))))
(* -1/720 (* (pow im 6) (+ 1 (* re (+ 1 (* 1/2 re))))))
(* (pow im 6) (+ (* -1/720 (+ 1 (* re (+ 1 (* 1/2 re))))) (* 1/24 (/ (+ 1 (* re (+ 1 (* 1/2 re)))) (pow im 2)))))
(* (pow im 6) (+ (* -1/2 (/ (+ 1 (* re (+ 1 (* 1/2 re)))) (pow im 4))) (+ (* -1/720 (+ 1 (* re (+ 1 (* 1/2 re))))) (* 1/24 (/ (+ 1 (* re (+ 1 (* 1/2 re)))) (pow im 2))))))
(* (pow im 6) (+ (* -1/2 (/ (+ 1 (* re (+ 1 (* 1/2 re)))) (pow im 4))) (+ (* -1/720 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (* 1/24 (/ (+ 1 (* re (+ 1 (* 1/2 re)))) (pow im 2))) (+ (/ 1 (pow im 6)) (/ (* re (+ 1 (* 1/2 re))) (pow im 6)))))))
(* -1/720 (* (pow im 6) (+ 1 (* re (+ 1 (* 1/2 re))))))
(* (pow im 6) (+ (* -1/720 (+ 1 (* re (+ 1 (* 1/2 re))))) (* 1/24 (/ (+ 1 (* re (+ 1 (* 1/2 re)))) (pow im 2)))))
(* (pow im 6) (+ (* -1/2 (/ (+ 1 (* re (+ 1 (* 1/2 re)))) (pow im 4))) (+ (* -1/720 (+ 1 (* re (+ 1 (* 1/2 re))))) (* 1/24 (/ (+ 1 (* re (+ 1 (* 1/2 re)))) (pow im 2))))))
(* (pow im 6) (+ (* -1/2 (/ (+ 1 (* re (+ 1 (* 1/2 re)))) (pow im 4))) (+ (* -1/720 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (* 1/24 (/ (+ 1 (* re (+ 1 (* 1/2 re)))) (pow im 2))) (+ (/ 1 (pow im 6)) (/ (* re (+ 1 (* 1/2 re))) (pow im 6)))))))
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)))
1
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(* -1/720 (pow im 6))
(* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))
(* (pow im 6) (- (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/720 (/ 1/2 (pow im 4)))))
(* -1/720 (pow im 6))
(* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))
(* (pow im 6) (- (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/720 (/ 1/2 (pow im 4)))))
-1/2
(- (* 1/24 (pow im 2)) 1/2)
(- (* 1/24 (pow im 2)) 1/2)
(- (* 1/24 (pow im 2)) 1/2)
(* 1/24 (pow im 2))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* 1/24 (pow im 2))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
1/24
(+ 1/24 (* -1/720 (pow im 2)))
(+ 1/24 (* -1/720 (pow im 2)))
(+ 1/24 (* -1/720 (pow im 2)))
(* -1/720 (pow im 2))
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(* -1/720 (pow im 2))
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
-1/2
(- (* 1/24 (pow im 2)) 1/2)
(- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)
(- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)
(* -1/720 (pow im 4))
(* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))
(* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))
(* -1/720 (pow im 4))
(* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))
(* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))

Outputs
(cos im)
(cos.f64 im)
(+ (cos im) (* re (cos im)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(*.f64 (cos.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) (cos im)))
(.f64 (cos.f64 im) (.f64 #s(literal 1/6 binary64) (.f64 re (.f64 re re))))
(* (pow re 3) (+ (* 1/6 (cos im)) (* 1/2 (/ (cos im) re))))
(.f64 (.f64 re (.f64 re re)) (.f64 (cos.f64 im) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))))
(* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (/ (cos im) (pow re 2)))))
(.f64 re (.f64 (.f64 re re) (fma.f64 (cos.f64 im) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)) (/.f64 (cos.f64 im) (.f64 re re)))))
(* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (+ (/ (cos im) (pow re 2)) (/ (cos im) (pow re 3))))))
(.f64 re (.f64 (.f64 re re) (+.f64 (fma.f64 (cos.f64 im) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)) (/.f64 (cos.f64 im) (.f64 re re))) (/.f64 (cos.f64 im) (.f64 re (.f64 re re))))))
(* 1/6 (* (pow re 3) (cos im)))
(.f64 (cos.f64 im) (.f64 #s(literal 1/6 binary64) (.f64 re (.f64 re re))))
(* -1 (* (pow re 3) (+ (* -1/2 (/ (cos im) re)) (* -1/6 (cos im)))))
(.f64 (.f64 re (.f64 re re)) (.f64 (cos.f64 im) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 (cos im)) (/ (cos im) re)) re)) (* -1/6 (cos im)))))
(fma.f64 (cos.f64 im) (.f64 #s(literal 1/6 binary64) (.f64 re (.f64 re re))) (.f64 (fma.f64 (cos.f64 im) #s(literal 1/2 binary64) (/.f64 (cos.f64 im) re)) (*.f64 re re)))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))) re)) (* -1/6 (cos im)))))
(fma.f64 (cos.f64 im) (.f64 #s(literal 1/6 binary64) (.f64 re (.f64 re re))) (.f64 (fma.f64 (cos.f64 im) #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 im) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) re))) (neg.f64 re))) (.f64 re re)))
(+ 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 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #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)))
(+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (* 1/24 (* (pow im 2) (+ 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)) (fma.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 1/24 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* 1/24 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))))))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #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 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 (.f64 im im) (*.f64 im im))))
(* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(*.f64 (cos.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)))
(* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(*.f64 (cos.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)))
(* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(*.f64 (cos.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)))
(* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(*.f64 (cos.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)))
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(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 im im))))
(* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 im im))) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (.f64 im im)))))
(* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 im im))) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (.f64 im im)))))

eval259.0ms (2.5%)

Memory: 12.6MiB live, 440.1MiB allocated
Compiler: Compiled 51 065 to 2 846 computations (94.4% saved)

prune168.0ms (1.6%)

Memory

26.3MiB live, 458.9MiB allocated

Pruning

44 alts after pruning (36 fresh and 8 done)

	Pruned	Kept	Total
New	1 145	28	1 173
Fresh	3	8	11
Picked	2	3	5
Done	0	5	5
Total	1 150	44	1 194

Accuracy

100.0%

Counts

1 194 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.3%	(fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 re (*.f64 im im)) re)
	38.8%	(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))
	36.7%	(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #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 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 (.f64 im im) (*.f64 im im))))
	12.2%	(fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)
	31.7%	(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
▶	30.0%	(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
	38.8%	(fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
	30.7%	(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.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 1/24 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
✓	38.8%	(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
	31.9%	(fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	38.8%	(fma.f64 re (fma.f64 re (/.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))) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	38.8%	(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
	38.8%	(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 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
	36.2%	(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
	34.1%	(fma.f64 re (/.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
	30.8%	(fma.f64 im (.f64 im (.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
	30.8%	(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
	32.7%	(/.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 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
	59.6%	(/.f64 (*.f64 (cos.f64 im) (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal -1 binary64)))
▶	29.8%	(+.f64 re #s(literal 1 binary64))
✓	63.7%	(*.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)) (cos.f64 im))
	38.0%	(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 (.f64 im im) (.f64 im im)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	36.0%	(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	38.0%	(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal -1/720 binary64))) #s(literal 1 binary64)))
	38.1%	(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓	59.9%	(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
▶	63.5%	(.f64 (fma.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im))
	13.1%	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 re re) re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	32.6%	(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
	31.1%	(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) im #s(literal 1 binary64)))
	33.1%	(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	50.9%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
	29.7%	(.f64 (.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (*.f64 re re)))) re))) (cos.f64 im))
	13.7%	(.f64 (.f64 (.f64 im im) (.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64)))
	11.4%	(.f64 (.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)))
	18.5%	(.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (.f64 re re)))) re)))
	12.9%	(.f64 (.f64 re (.f64 re #s(literal 1/2 binary64))) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	29.2%	(.f64 (exp.f64 re) (.f64 #s(literal -1/2 binary64) (*.f64 im im)))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	12.2%	(.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
	12.0%	(.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))
✓	73.1%	(exp.f64 re)
✓	49.9%	(cos.f64 im)
✓	29.3%	#s(literal 1 binary64)

Compiler

Compiled 1 445 to 840 computations (41.9% saved)

simplify81.0ms (0.8%)

Memory

-24.4MiB live, 186.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))
✓	cost-diff	0	(fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))))
✓	cost-diff	0	(fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
✓	cost-diff	0	(/.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)))
✓	cost-diff	0	(fma.f64 re (/.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))) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 re (fma.f64 re (/.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))) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
✓	cost-diff	0	(*.f64 im im)
✓	cost-diff	0	(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 re #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 re #s(literal 1/6 binary64))
✓	cost-diff	0	(.f64 re (.f64 re #s(literal 1/6 binary64)))
✓	cost-diff	0	(.f64 (fma.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im))
✓	cost-diff	640	(fma.f64 re (.f64 re (.f64 re #s(literal 1/6 binary64))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))

Rules

2 420×	`accelerator-lowering-fma.f32`
2 420×	`accelerator-lowering-fma.f64`
1 028×	`-lowering-.f32`
1 028×	`-lowering-.f64`
496×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	255
1	102	251
2	248	247
3	637	247
4	1491	247
5	1795	247
6	1868	247
7	1875	247
8	1883	247
9	1889	247
10	1919	247
0	1919	211

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (+ (* re (* re (* re 1/6))) (+ (* re (+ (* re 1/2) 1)) 1)) (cos im))
(+ (* re (* re (* re 1/6))) (+ (* re (+ (* re 1/2) 1)) 1))
re
(* re (* re 1/6))
(* re 1/6)
1/6
(+ (* re (+ (* re 1/2) 1)) 1)
(+ (* re 1/2) 1)
1/2
1
(cos im)
im
(+ re 1)
re
1
(+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1)
(* im im)
im
(+ (* (* im im) 1/24) -1/2)
1/24
-1/2
1
(+ (* re (+ (* re (/ (+ (* (* re re) 1/36) -1/4) (+ (* re 1/6) -1/2))) 1)) 1)
re
(+ (* re (/ (+ (* (* re re) 1/36) -1/4) (+ (* re 1/6) -1/2))) 1)
(/ (+ (* (* re re) 1/36) -1/4) (+ (* re 1/6) -1/2))
(+ (* (* re re) 1/36) -1/4)
(* re re)
1/36
-1/4
(+ (* re 1/6) -1/2)
1/6
-1/2
1
(+ (* re (+ (* re (/ 1 (/ (+ (* re 1/6) -1/2) (+ (* (* re re) 1/36) -1/4)))) 1)) 1)
re
(+ (* re (/ 1 (/ (+ (* re 1/6) -1/2) (+ (* (* re re) 1/36) -1/4)))) 1)
(/ 1 (/ (+ (* re 1/6) -1/2) (+ (* (* re re) 1/36) -1/4)))
1
(/ (+ (* re 1/6) -1/2) (+ (* (* re re) 1/36) -1/4))
(+ (* re 1/6) -1/2)
1/6
-1/2
(+ (* (* re re) 1/36) -1/4)
(* re re)
1/36
-1/4

Outputs
(* (+ (* re (* re (* re 1/6))) (+ (* re (+ (* re 1/2) 1)) 1)) (cos 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)) (cos.f64 im))
(+ (* re (* re (* re 1/6))) (+ (* re (+ (* re 1/2) 1)) 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))
re
(* re (* re 1/6))
(.f64 re (.f64 re #s(literal 1/6 binary64)))
(* re 1/6)
(*.f64 re #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(+ (* re (+ (* re 1/2) 1)) 1)
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ (* re 1/2) 1)
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
(cos im)
(cos.f64 im)
im
(+ re 1)
(+.f64 re #s(literal 1 binary64))
re
1
#s(literal 1 binary64)
(+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1)
(fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* im im)
(*.f64 im im)
im
(+ (* (* im im) 1/24) -1/2)
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
1/24
#s(literal 1/24 binary64)
-1/2
#s(literal -1/2 binary64)
1
#s(literal 1 binary64)
(+ (* re (+ (* re (/ (+ (* (* re re) 1/36) -1/4) (+ (* re 1/6) -1/2))) 1)) 1)
(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
(+ (* re (/ (+ (* (* re re) 1/36) -1/4) (+ (* re 1/6) -1/2))) 1)
(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))
(/ (+ (* (* re re) 1/36) -1/4) (+ (* re 1/6) -1/2))
(/.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 re) 1/36) -1/4)
(fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))
(* re re)
(*.f64 re re)
1/36
#s(literal 1/36 binary64)
-1/4
#s(literal -1/4 binary64)
(+ (* re 1/6) -1/2)
(fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))
1/6
#s(literal 1/6 binary64)
-1/2
#s(literal -1/2 binary64)
1
#s(literal 1 binary64)
(+ (* re (+ (* re (/ 1 (/ (+ (* re 1/6) -1/2) (+ (* (* re re) 1/36) -1/4)))) 1)) 1)
(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
(+ (* re (/ 1 (/ (+ (* re 1/6) -1/2) (+ (* (* re re) 1/36) -1/4)))) 1)
(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))
(/ 1 (/ (+ (* re 1/6) -1/2) (+ (* (* re re) 1/36) -1/4)))
(/.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)))
1
#s(literal 1 binary64)
(/ (+ (* re 1/6) -1/2) (+ (* (* re re) 1/36) -1/4))
(/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64)))
(+ (* re 1/6) -1/2)
(fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))
1/6
#s(literal 1/6 binary64)
-1/2
#s(literal -1/2 binary64)
(+ (* (* re re) 1/36) -1/4)
(fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))
(* re re)
(*.f64 re re)
1/36
#s(literal 1/36 binary64)
-1/4
#s(literal -1/4 binary64)

localize292.0ms (2.8%)

Memory

-14.5MiB live, 218.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
✓	accuracy	99.7%	(fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))))
✓	accuracy	79.4%	(/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))
✓	accuracy	99.9%	(fma.f64 re (fma.f64 re (/.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))) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	accuracy	99.8%	(fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
✓	accuracy	99.7%	(fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))
✓	accuracy	79.4%	(/.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)))
✓	accuracy	100.0%	(*.f64 im im)
✓	accuracy	100.0%	(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(+.f64 re #s(literal 1 binary64))
✓	accuracy	99.9%	(.f64 (fma.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im))
✓	accuracy	99.9%	(.f64 re (.f64 re #s(literal 1/6 binary64)))
✓	accuracy	99.5%	(*.f64 re #s(literal 1/6 binary64))
✓	accuracy	87.4%	(fma.f64 re (.f64 re (.f64 re #s(literal 1/6 binary64))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))

Samples

234.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 227 to 42 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 216.0ms

ival-mult: 178.0ms (82.4% of total)

ival-add: 14.0ms (6.5% of total)

const: 12.0ms (5.6% of total)

ival-cos: 6.0ms (2.8% of total)

ival-div: 5.0ms (2.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

17 → 216

Calls

Call 1

Inputs
#<alt (+ (* re (* re (* re 1/6))) (+ (* re (+ (* re 1/2) 1)) 1))>
#<alt (* (+ (* re (* re (* re 1/6))) (+ (* re (+ (* re 1/2) 1)) 1)) (cos im))>
#<alt (* re (* re 1/6))>
#<alt (* re 1/6)>
#<alt (+ re 1)>
#<alt (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1)>
#<alt (* im im)>
#<alt (+ (* (* im im) 1/24) -1/2)>
#<alt (+ (* re (+ (* re (/ (+ (* (* re re) 1/36) -1/4) (+ (* re 1/6) -1/2))) 1)) 1)>
#<alt (+ (* re (/ (+ (* (* re re) 1/36) -1/4) (+ (* re 1/6) -1/2))) 1)>
#<alt (/ (+ (* (* re re) 1/36) -1/4) (+ (* re 1/6) -1/2))>
#<alt (+ (* (* re re) 1/36) -1/4)>
#<alt (/ 1 (/ (+ (* re 1/6) -1/2) (+ (* (* re re) 1/36) -1/4)))>
#<alt (+ (* re (+ (* re (/ 1 (/ (+ (* re 1/6) -1/2) (+ (* (* re re) 1/36) -1/4)))) 1)) 1)>
#<alt (+ (* re (/ 1 (/ (+ (* re 1/6) -1/2) (+ (* (* re re) 1/36) -1/4)))) 1)>
#<alt (/ (+ (* re 1/6) -1/2) (+ (* (* re re) 1/36) -1/4))>
#<alt (+ (* re 1/6) -1/2)>

Outputs
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))>
#<alt (cos im)>
#<alt (+ (cos im) (* re (cos im)))>
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))>
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))>
#<alt (* 1/6 (* (pow re 3) (cos im)))>
#<alt (* (pow re 3) (+ (* 1/6 (cos im)) (* 1/2 (/ (cos im) re))))>
#<alt (* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (/ (cos im) (pow re 2)))))>
#<alt (* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (+ (/ (cos im) (pow re 2)) (/ (cos im) (pow re 3))))))>
#<alt (* 1/6 (* (pow re 3) (cos im)))>
#<alt (* -1 (* (pow re 3) (+ (* -1/2 (/ (cos im) re)) (* -1/6 (cos im)))))>
#<alt (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 (cos im)) (/ (cos im) re)) re)) (* -1/6 (cos im)))))>
#<alt (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))) re)) (* -1/6 (cos im)))))>
#<alt (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re)))))>
#<alt (+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re))))))) (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re))))))>
#<alt (+ 1 (+ (* 1/6 (pow re 3)) (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/2 (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re)))))) (* 1/24 (* (pow im 2) (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re))))))))))))>
#<alt (+ 1 (+ (* 1/6 (pow re 3)) (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/2 (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re)))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re))))))) (* 1/24 (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re)))))))))))))>
#<alt (* (cos im) (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re))))))>
#<alt (* (cos im) (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re))))))>
#<alt (* (cos im) (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re))))))>
#<alt (* (cos im) (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re))))))>
#<alt (* (cos im) (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re))))))>
#<alt (* (cos im) (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re))))))>
#<alt (* (cos im) (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re))))))>
#<alt (* (cos im) (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re))))))>
#<alt (* 1/6 (pow re 2))>
#<alt (* 1/6 (pow re 2))>
#<alt (* 1/6 (pow re 2))>
#<alt (* 1/6 (pow re 2))>
#<alt (* 1/6 (pow re 2))>
#<alt (* 1/6 (pow re 2))>
#<alt (* 1/6 (pow re 2))>
#<alt (* 1/6 (pow re 2))>
#<alt (* 1/6 (pow re 2))>
#<alt (* 1/6 (pow re 2))>
#<alt (* 1/6 (pow re 2))>
#<alt (* 1/6 (pow re 2))>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 re)>
#<alt (+ 1 re)>
#<alt re>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt re>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))>
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))>
#<alt (* 1/24 (pow im 4))>
#<alt (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* 1/24 (pow im 4))>
#<alt (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt -1/2>
#<alt (- (* 1/24 (pow im 2)) 1/2)>
#<alt (- (* 1/24 (pow im 2)) 1/2)>
#<alt (- (* 1/24 (pow im 2)) 1/2)>
#<alt (* 1/24 (pow im 2))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* 1/24 (pow im 2))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))>
#<alt 1>
#<alt (+ 1 (* 1/2 re))>
#<alt (+ 1 (* re (+ 1/2 (* 1/6 re))))>
#<alt (+ 1 (* re (+ 1/2 (* 1/6 re))))>
#<alt (* 1/6 (pow re 2))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* 1/6 (pow re 2))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 re))>
#<alt (+ 1/2 (* 1/6 re))>
#<alt (+ 1/2 (* 1/6 re))>
#<alt (* 1/6 re)>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* 1/6 re)>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt -1/4>
#<alt (- (* 1/36 (pow re 2)) 1/4)>
#<alt (- (* 1/36 (pow re 2)) 1/4)>
#<alt (- (* 1/36 (pow re 2)) 1/4)>
#<alt (* 1/36 (pow re 2))>
#<alt (* (pow re 2) (- 1/36 (* 1/4 (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (- 1/36 (* 1/4 (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (- 1/36 (* 1/4 (/ 1 (pow re 2)))))>
#<alt (* 1/36 (pow re 2))>
#<alt (* (pow re 2) (- 1/36 (* 1/4 (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (- 1/36 (* 1/4 (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (- 1/36 (* 1/4 (/ 1 (pow re 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 re))>
#<alt (+ 1/2 (* 1/6 re))>
#<alt (+ 1/2 (* 1/6 re))>
#<alt (* 1/6 re)>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* 1/6 re)>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))>
#<alt 1>
#<alt (+ 1 (* 1/2 re))>
#<alt (+ 1 (* re (+ 1/2 (* 1/6 re))))>
#<alt (+ 1 (* re (+ 1/2 (* 1/6 re))))>
#<alt (* 1/6 (pow re 2))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* 1/6 (pow re 2))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt 2>
#<alt (+ 2 (* -2/3 re))>
#<alt (+ 2 (* re (- (* 2/9 re) 2/3)))>
#<alt (+ 2 (* re (- (* re (+ 2/9 (* -2/27 re))) 2/3)))>
#<alt (/ 6 re)>
#<alt (/ (- 6 (* 18 (/ 1 re))) re)>
#<alt (/ (- (+ 6 (/ 54 (pow re 2))) (* 18 (/ 1 re))) re)>
#<alt (/ (- (+ 6 (/ 54 (pow re 2))) (+ (* 18 (/ 1 re)) (* 162 (/ 1 (pow re 3))))) re)>
#<alt (/ 6 re)>
#<alt (* -1 (/ (- (* 18 (/ 1 re)) 6) re))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 54 (/ 1 re)) 18) re)) 6) re))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 162 (/ 1 re)) 54) re)) 18) re)) 6) re))>
#<alt -1/2>
#<alt (- (* 1/6 re) 1/2)>
#<alt (- (* 1/6 re) 1/2)>
#<alt (- (* 1/6 re) 1/2)>
#<alt (* 1/6 re)>
#<alt (* re (- 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (- 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (- 1/6 (* 1/2 (/ 1 re))))>
#<alt (* 1/6 re)>
#<alt (* -1 (* re (- (* 1/2 (/ 1 re)) 1/6)))>
#<alt (* -1 (* re (- (* 1/2 (/ 1 re)) 1/6)))>
#<alt (* -1 (* re (- (* 1/2 (/ 1 re)) 1/6)))>

Calls

54 calls:

Time	Variable		Point	Expression
1.0ms	im	@	inf	(* (+ (* re (* re (* re 1/6))) (+ (* re (+ (* re 1/2) 1)) 1)) (cos im))
1.0ms	im	@	0	(* (+ (* re (* re (* re 1/6))) (+ (* re (+ (* re 1/2) 1)) 1)) (cos im))
0.0ms	re	@	inf	(/ (+ (* (* re re) 1/36) -1/4) (+ (* re 1/6) -1/2))
0.0ms	re	@	inf	(+ (* re (/ (+ (* (* re re) 1/36) -1/4) (+ (* re 1/6) -1/2))) 1)
0.0ms	re	@	-inf	(+ (* re (+ (* re (/ (+ (* (* re re) 1/36) -1/4) (+ (* re 1/6) -1/2))) 1)) 1)

rewrite455.0ms (4.4%)

Memory

41.8MiB live, 850.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 630×	`accelerator-lowering-fma.f32`
5 630×	`accelerator-lowering-fma.f64`
4 746×	`-lowering-.f32`
4 746×	`-lowering-.f64`
4 288×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	198
1	258	140
2	2045	140
0	8674	116

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 850

Calls

Call 1

Inputs
(+ (* re (* re (* re 1/6))) (+ (* re (+ (* re 1/2) 1)) 1))
(* (+ (* re (* re (* re 1/6))) (+ (* re (+ (* re 1/2) 1)) 1)) (cos im))
(* re (* re 1/6))
(* re 1/6)
(+ re 1)
(+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1)
(* im im)
(+ (* (* im im) 1/24) -1/2)
(+ (* re (+ (* re (/ (+ (* (* re re) 1/36) -1/4) (+ (* re 1/6) -1/2))) 1)) 1)
(+ (* re (/ (+ (* (* re re) 1/36) -1/4) (+ (* re 1/6) -1/2))) 1)
(/ (+ (* (* re re) 1/36) -1/4) (+ (* re 1/6) -1/2))
(+ (* (* re re) 1/36) -1/4)
(/ 1 (/ (+ (* re 1/6) -1/2) (+ (* (* re re) 1/36) -1/4)))
(+ (* re (+ (* re (/ 1 (/ (+ (* re 1/6) -1/2) (+ (* (* re re) 1/36) -1/4)))) 1)) 1)
(+ (* re (/ 1 (/ (+ (* re 1/6) -1/2) (+ (* (* re re) 1/36) -1/4)))) 1)
(/ (+ (* re 1/6) -1/2) (+ (* (* re re) 1/36) -1/4))
(+ (* re 1/6) -1/2)

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

simplify415.0ms (4%)

Memory

16.9MiB live, 780.0MiB allocated

Algorithm

1×	egg-herbie

Rules

13 056×	`accelerator-lowering-fma.f32`
13 056×	`accelerator-lowering-fma.f64`
4 556×	`+-lowering-+.f64`
4 556×	`+-lowering-+.f32`
3 698×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	218	1815
1	671	1731
2	2149	1672
3	6857	1647
0	8110	1480

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
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)))
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(* 1/6 (* (pow re 3) (cos im)))
(* (pow re 3) (+ (* 1/6 (cos im)) (* 1/2 (/ (cos im) re))))
(* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (/ (cos im) (pow re 2)))))
(* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (+ (/ (cos im) (pow re 2)) (/ (cos im) (pow re 3))))))
(* 1/6 (* (pow re 3) (cos im)))
(* -1 (* (pow re 3) (+ (* -1/2 (/ (cos im) re)) (* -1/6 (cos im)))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 (cos im)) (/ (cos im) re)) re)) (* -1/6 (cos im)))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))) re)) (* -1/6 (cos im)))))
(+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re)))))
(+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re))))))) (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re))))))
(+ 1 (+ (* 1/6 (pow re 3)) (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/2 (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re)))))) (* 1/24 (* (pow im 2) (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re))))))))))))
(+ 1 (+ (* 1/6 (pow re 3)) (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/2 (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re)))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re))))))) (* 1/24 (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re)))))))))))))
(* (cos im) (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re))))))
(* (cos im) (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re))))))
(* (cos im) (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re))))))
(* (cos im) (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re))))))
(* (cos im) (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re))))))
(* (cos im) (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re))))))
(* (cos im) (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re))))))
(* (cos im) (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re))))))
(* 1/6 (pow re 2))
(* 1/6 (pow re 2))
(* 1/6 (pow re 2))
(* 1/6 (pow re 2))
(* 1/6 (pow re 2))
(* 1/6 (pow re 2))
(* 1/6 (pow re 2))
(* 1/6 (pow re 2))
(* 1/6 (pow re 2))
(* 1/6 (pow re 2))
(* 1/6 (pow re 2))
(* 1/6 (pow re 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)
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)))
1
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(* 1/24 (pow im 4))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(* 1/24 (pow im 4))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 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)
(pow im 2)
-1/2
(- (* 1/24 (pow im 2)) 1/2)
(- (* 1/24 (pow im 2)) 1/2)
(- (* 1/24 (pow im 2)) 1/2)
(* 1/24 (pow im 2))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* 1/24 (pow im 2))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 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))))
-1/4
(- (* 1/36 (pow re 2)) 1/4)
(- (* 1/36 (pow re 2)) 1/4)
(- (* 1/36 (pow re 2)) 1/4)
(* 1/36 (pow re 2))
(* (pow re 2) (- 1/36 (* 1/4 (/ 1 (pow re 2)))))
(* (pow re 2) (- 1/36 (* 1/4 (/ 1 (pow re 2)))))
(* (pow re 2) (- 1/36 (* 1/4 (/ 1 (pow re 2)))))
(* 1/36 (pow re 2))
(* (pow re 2) (- 1/36 (* 1/4 (/ 1 (pow re 2)))))
(* (pow re 2) (- 1/36 (* 1/4 (/ 1 (pow re 2)))))
(* (pow re 2) (- 1/36 (* 1/4 (/ 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
(+ 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)))))
2
(+ 2 (* -2/3 re))
(+ 2 (* re (- (* 2/9 re) 2/3)))
(+ 2 (* re (- (* re (+ 2/9 (* -2/27 re))) 2/3)))
(/ 6 re)
(/ (- 6 (* 18 (/ 1 re))) re)
(/ (- (+ 6 (/ 54 (pow re 2))) (* 18 (/ 1 re))) re)
(/ (- (+ 6 (/ 54 (pow re 2))) (+ (* 18 (/ 1 re)) (* 162 (/ 1 (pow re 3))))) re)
(/ 6 re)
(* -1 (/ (- (* 18 (/ 1 re)) 6) re))
(* -1 (/ (- (* -1 (/ (- (* 54 (/ 1 re)) 18) re)) 6) re))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 162 (/ 1 re)) 54) re)) 18) re)) 6) re))
-1/2
(- (* 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
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/6 (pow re 3))
(.f64 re (.f64 #s(literal 1/6 binary64) (*.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 re (.f64 #s(literal 1/6 binary64) (*.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 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(.f64 (.f64 re (.f64 re re)) (-.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)))
(cos im)
(cos.f64 im)
(+ (cos im) (* re (cos im)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(fma.f64 re (*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (cos.f64 im))
(* 1/6 (* (pow re 3) (cos im)))
(.f64 (.f64 re (.f64 re re)) (.f64 #s(literal 1/6 binary64) (cos.f64 im)))
(* (pow re 3) (+ (* 1/6 (cos im)) (* 1/2 (/ (cos im) re))))
(.f64 (.f64 re (.f64 re re)) (.f64 (cos.f64 im) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))))
(* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (/ (cos im) (pow re 2)))))
(.f64 (.f64 re (.f64 re re)) (fma.f64 (cos.f64 im) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)) (/.f64 (cos.f64 im) (.f64 re re))))
(* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (+ (/ (cos im) (pow re 2)) (/ (cos im) (pow re 3))))))
(.f64 (.f64 re (.f64 re re)) (+.f64 (/.f64 (cos.f64 im) (.f64 re re)) (fma.f64 (cos.f64 im) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)) (/.f64 (cos.f64 im) (.f64 re (.f64 re re))))))
(* 1/6 (* (pow re 3) (cos im)))
(.f64 (.f64 re (.f64 re re)) (.f64 #s(literal 1/6 binary64) (cos.f64 im)))
(* -1 (* (pow re 3) (+ (* -1/2 (/ (cos im) re)) (* -1/6 (cos im)))))
(.f64 (.f64 re (.f64 re re)) (.f64 (cos.f64 im) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 (cos im)) (/ (cos im) re)) re)) (* -1/6 (cos im)))))
(.f64 (.f64 re (.f64 re re)) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 im) (/.f64 (cos.f64 im) re)) re) (.f64 #s(literal 1/6 binary64) (cos.f64 im))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))) re)) (* -1/6 (cos im)))))
(neg.f64 (.f64 (.f64 re (.f64 re re)) (fma.f64 (cos.f64 im) #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 (.f64 (cos.f64 im) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) re))) re) (*.f64 (cos.f64 im) #s(literal -1/2 binary64))) re))))
(+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 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 (+ (* -1/2 (* (pow im 2) (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re))))))) (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re))))))
(.f64 (fma.f64 im (.f64 im #s(literal -1/2 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)))
(+ 1 (+ (* 1/6 (pow re 3)) (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/2 (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re)))))) (* 1/24 (* (pow im 2) (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re))))))))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.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 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(+ 1 (+ (* 1/6 (pow re 3)) (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/2 (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re)))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re))))))) (* 1/24 (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re)))))))))))))
(fma.f64 (fma.f64 im (.f64 im #s(literal -1/2 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 (.f64 im im) (.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 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))))
(* (cos im) (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re))))))
(*.f64 (cos.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)))
(* (cos im) (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re))))))
(*.f64 (cos.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)))
(* (cos im) (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re))))))
(*.f64 (cos.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)))
(* (cos im) (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re))))))
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(* (cos im) (+ 1 (+ (* 1/6 (pow re 3)) (* re (+ 1 (* 1/2 re))))))
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(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 54 binary64) (/.f64 #s(literal 162 binary64) re)) re) #s(literal -18 binary64)) re)) re)
-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))

eval206.0ms (2%)

Memory: 65.4MiB live, 520.9MiB allocated
Compiler: Compiled 34 353 to 2 888 computations (91.6% saved)

prune214.0ms (2.1%)

Memory

-25.7MiB live, 495.6MiB allocated

Pruning

54 alts after pruning (44 fresh and 10 done)

	Pruned	Kept	Total
New	1 173	22	1 195
Fresh	9	22	31
Picked	3	2	5
Done	0	8	8
Total	1 185	54	1 239

Accuracy

100.0%

Counts

1 239 → 54

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.3%	(fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 re (*.f64 im im)) re)
	38.8%	(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))
	12.2%	(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)
	36.7%	(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #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 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 (.f64 im im) (*.f64 im im))))
	34.1%	(fma.f64 (/.f64 re (/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)))) (/.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (+.f64 re #s(literal 1 binary64)))
	31.7%	(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
	30.0%	(fma.f64 (.f64 im im) (.f64 im (*.f64 im #s(literal 1/24 binary64))) #s(literal 1 binary64))
	30.8%	(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
	29.1%	(fma.f64 re (fma.f64 (/.f64 (.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal -1/8 binary64))) (-.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (.f64 re #s(literal -1/12 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
	38.8%	(fma.f64 re (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
	30.7%	(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.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 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
✓	38.8%	(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
	31.3%	(fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
	31.9%	(fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
	38.6%	(fma.f64 re (fma.f64 re (/.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
	29.5%	(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -2/3 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
	38.6%	(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) re)) #s(literal 1 binary64)) #s(literal 1 binary64))
	31.3%	(fma.f64 re (fma.f64 re (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
	36.2%	(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
	34.1%	(fma.f64 re (/.f64 (fma.f64 (.f64 re re) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
	30.0%	(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
	30.8%	(fma.f64 im (.f64 im (.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
	32.7%	(/.f64 (fma.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)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
	36.0%	(/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))
	59.6%	(/.f64 (*.f64 (cos.f64 im) (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal -1 binary64)))
✓	29.8%	(+.f64 re #s(literal 1 binary64))
✓	63.7%	(*.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)) (cos.f64 im))
	38.0%	(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 (.f64 im im) (.f64 im im)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	36.0%	(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	38.0%	(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal -1/720 binary64))) #s(literal 1 binary64)))
	38.1%	(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓	59.9%	(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
✓	63.5%	(.f64 (fma.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im))
	12.2%	(.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re))
	13.1%	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 re re) re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	32.6%	(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
	31.1%	(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) im #s(literal 1 binary64)))
	33.1%	(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	50.9%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
	29.7%	(.f64 (.f64 (.f64 re (.f64 re re)) (-.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))) (cos.f64 im))
	13.7%	(.f64 (.f64 (.f64 im im) (.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64)))
	18.5%	(.f64 (.f64 re (.f64 re re)) (-.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)))
	11.4%	(.f64 (.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)))
	12.9%	(.f64 (.f64 re (.f64 re #s(literal 1/2 binary64))) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	29.2%	(.f64 (exp.f64 re) (.f64 #s(literal -1/2 binary64) (*.f64 im im)))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	12.2%	(.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
	12.0%	(.f64 re (.f64 #s(literal 1/6 binary64) (*.f64 re re)))
	12.0%	(.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))
	13.3%	(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
✓	73.1%	(exp.f64 re)
✓	49.9%	(cos.f64 im)
	3.4%	re
✓	29.3%	#s(literal 1 binary64)

Compiler

Compiled 2 058 to 763 computations (62.9% saved)

regimes147.0ms (1.4%)

Memory

16.7MiB live, 291.9MiB allocated

Counts

72 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))
(.f64 re (.f64 #s(literal 1/6 binary64) (*.f64 re re)))
(.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re))
(fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (.f64 im im) (.f64 im (*.f64 im #s(literal 1/24 binary64))) #s(literal 1 binary64))
(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64)))
(fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 re (*.f64 im 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 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -2/3 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) im #s(literal 1 binary64)))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) re)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (/.f64 (.f64 (.f64 re re) #s(literal 1/36 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 re (/.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))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)))
(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 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 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (.f64 re (.f64 re #s(literal 1/2 binary64))) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal -1/720 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 re re) re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 im (.f64 im (.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (/.f64 (fma.f64 (.f64 re re) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 re (/.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 (.f64 im im) (.f64 im im)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (.f64 re re)))) re)))
(.f64 (.f64 re (.f64 re re)) (-.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)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.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 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 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)) (fma.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 1/24 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.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 re (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 (.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)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 re (fma.f64 (/.f64 (.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal -1/8 binary64))) (-.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (.f64 re #s(literal -1/12 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 re (/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)))) (/.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #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 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 (.f64 im im) (*.f64 im im))))
(fma.f64 re (fma.f64 re (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(cos.f64 im)
(exp.f64 re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(.f64 (exp.f64 re) (.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(.f64 (exp.f64 re) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.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)) (cos.f64 im))
(/.f64 (*.f64 (cos.f64 im) (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal -1 binary64)))
(.f64 (fma.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im))
(.f64 (.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (*.f64 re re)))) re))) (cos.f64 im))
(.f64 (.f64 (.f64 re (.f64 re re)) (-.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))) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))

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

Calls

5 calls:

39.0ms	re
34.0ms	(cos.f64 im)
30.0ms	(exp.f64 re)
21.0ms	im
19.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

Results

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes104.0ms (1%)

Memory

7.4MiB live, 287.2MiB allocated

Counts

71 → 5

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))
(.f64 re (.f64 #s(literal 1/6 binary64) (*.f64 re re)))
(.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re))
(fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (.f64 im im) (.f64 im (*.f64 im #s(literal 1/24 binary64))) #s(literal 1 binary64))
(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64)))
(fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 re (*.f64 im 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 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -2/3 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) im #s(literal 1 binary64)))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) re)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (/.f64 (.f64 (.f64 re re) #s(literal 1/36 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 re (/.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))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)))
(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 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 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (.f64 re (.f64 re #s(literal 1/2 binary64))) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal -1/720 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 re re) re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 im (.f64 im (.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (/.f64 (fma.f64 (.f64 re re) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 re (/.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 (.f64 im im) (.f64 im im)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (.f64 re re)))) re)))
(.f64 (.f64 re (.f64 re re)) (-.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)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.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 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 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)) (fma.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 1/24 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.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 re (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 (.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)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 re (fma.f64 (/.f64 (.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal -1/8 binary64))) (-.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (.f64 re #s(literal -1/12 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 re (/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)))) (/.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #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 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 (.f64 im im) (*.f64 im im))))
(fma.f64 re (fma.f64 re (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(cos.f64 im)
(exp.f64 re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(.f64 (exp.f64 re) (.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(.f64 (exp.f64 re) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.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)) (cos.f64 im))
(/.f64 (*.f64 (cos.f64 im) (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal -1 binary64)))
(.f64 (fma.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im))
(.f64 (.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (*.f64 re re)))) re))) (cos.f64 im))
(.f64 (.f64 (.f64 re (.f64 re re)) (-.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))) (cos.f64 im))

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

Calls

5 calls:

22.0ms	im
21.0ms	(cos.f64 im)
21.0ms	re
18.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
18.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
98.0%	4	`re`
80.0%	2	`im`
99.9%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`
96.0%	3	`(exp.f64 re)`
82.0%	2	`(cos.f64 im)`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes22.0ms (0.2%)

Memory

-20.9MiB live, 57.4MiB allocated

Counts

68 → 5

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))
(.f64 re (.f64 #s(literal 1/6 binary64) (*.f64 re re)))
(.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re))
(fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (.f64 im im) (.f64 im (*.f64 im #s(literal 1/24 binary64))) #s(literal 1 binary64))
(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64)))
(fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 re (*.f64 im 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 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -2/3 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) im #s(literal 1 binary64)))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) re)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (/.f64 (.f64 (.f64 re re) #s(literal 1/36 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 re (/.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))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)))
(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 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 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (.f64 re (.f64 re #s(literal 1/2 binary64))) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal -1/720 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 re re) re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 im (.f64 im (.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (/.f64 (fma.f64 (.f64 re re) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 re (/.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 (.f64 im im) (.f64 im im)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (.f64 re re)))) re)))
(.f64 (.f64 re (.f64 re re)) (-.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)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.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 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 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)) (fma.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 1/24 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.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 re (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 (.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)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 re (fma.f64 (/.f64 (.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal -1/8 binary64))) (-.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (.f64 re #s(literal -1/12 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 re (/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)))) (/.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #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 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 (.f64 im im) (*.f64 im im))))
(fma.f64 re (fma.f64 re (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(cos.f64 im)
(exp.f64 re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(.f64 (exp.f64 re) (.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(.f64 (exp.f64 re) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.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)) (cos.f64 im))
(/.f64 (*.f64 (cos.f64 im) (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal -1 binary64)))

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

Calls

1 calls:

18.0ms

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

Results

Accuracy	Segments	Branch
99.9%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes21.0ms (0.2%)

Memory

16.7MiB live, 55.5MiB allocated

Counts

66 → 5

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))
(.f64 re (.f64 #s(literal 1/6 binary64) (*.f64 re re)))
(.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re))
(fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (.f64 im im) (.f64 im (*.f64 im #s(literal 1/24 binary64))) #s(literal 1 binary64))
(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64)))
(fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 re (*.f64 im 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 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -2/3 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) im #s(literal 1 binary64)))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) re)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (/.f64 (.f64 (.f64 re re) #s(literal 1/36 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 re (/.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))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)))
(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 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 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (.f64 re (.f64 re #s(literal 1/2 binary64))) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal -1/720 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 re re) re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 im (.f64 im (.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (/.f64 (fma.f64 (.f64 re re) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 re (/.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 (.f64 im im) (.f64 im im)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (.f64 re re)))) re)))
(.f64 (.f64 re (.f64 re re)) (-.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)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.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 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 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)) (fma.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 1/24 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.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 re (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 (.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)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 re (fma.f64 (/.f64 (.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal -1/8 binary64))) (-.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (.f64 re #s(literal -1/12 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 re (/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)))) (/.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #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 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 (.f64 im im) (*.f64 im im))))
(fma.f64 re (fma.f64 re (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(cos.f64 im)
(exp.f64 re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(.f64 (exp.f64 re) (.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(.f64 (exp.f64 re) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))

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

Calls

1 calls:

17.0ms

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

Results

Accuracy	Segments	Branch
99.9%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes22.0ms (0.2%)

Memory

-25.7MiB live, 54.7MiB allocated

Counts

65 → 5

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))
(.f64 re (.f64 #s(literal 1/6 binary64) (*.f64 re re)))
(.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re))
(fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (.f64 im im) (.f64 im (*.f64 im #s(literal 1/24 binary64))) #s(literal 1 binary64))
(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64)))
(fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 re (*.f64 im 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 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -2/3 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) im #s(literal 1 binary64)))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) re)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (/.f64 (.f64 (.f64 re re) #s(literal 1/36 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 re (/.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))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)))
(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 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 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (.f64 re (.f64 re #s(literal 1/2 binary64))) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal -1/720 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 re re) re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 im (.f64 im (.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (/.f64 (fma.f64 (.f64 re re) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 re (/.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 (.f64 im im) (.f64 im im)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (.f64 re re)))) re)))
(.f64 (.f64 re (.f64 re re)) (-.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)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.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 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 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)) (fma.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 1/24 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.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 re (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 (.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)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 re (fma.f64 (/.f64 (.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal -1/8 binary64))) (-.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (.f64 re #s(literal -1/12 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 re (/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)))) (/.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #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 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 (.f64 im im) (*.f64 im im))))
(fma.f64 re (fma.f64 re (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(cos.f64 im)
(exp.f64 re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(.f64 (exp.f64 re) (.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(.f64 (exp.f64 re) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))

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

Calls

1 calls:

18.0ms

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

Results

Accuracy	Segments	Branch
99.8%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes40.0ms (0.4%)

Memory

27.7MiB live, 105.3MiB allocated

Counts

63 → 5

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))
(.f64 re (.f64 #s(literal 1/6 binary64) (*.f64 re re)))
(.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re))
(fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (.f64 im im) (.f64 im (*.f64 im #s(literal 1/24 binary64))) #s(literal 1 binary64))
(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64)))
(fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 re (*.f64 im 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 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -2/3 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) im #s(literal 1 binary64)))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) re)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (/.f64 (.f64 (.f64 re re) #s(literal 1/36 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 re (/.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))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)))
(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 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 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (.f64 re (.f64 re #s(literal 1/2 binary64))) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal -1/720 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 re re) re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 im (.f64 im (.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (/.f64 (fma.f64 (.f64 re re) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 re (/.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 (.f64 im im) (.f64 im im)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (.f64 re re)))) re)))
(.f64 (.f64 re (.f64 re re)) (-.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)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.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 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 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)) (fma.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 1/24 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.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 re (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 (.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)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 re (fma.f64 (/.f64 (.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal -1/8 binary64))) (-.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (.f64 re #s(literal -1/12 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 re (/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)))) (/.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #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 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 (.f64 im im) (*.f64 im im))))
(fma.f64 re (fma.f64 re (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(cos.f64 im)
(exp.f64 re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))

Outputs
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #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 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 (.f64 im im) (*.f64 im im))))
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(exp.f64 re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(exp.f64 re)

Calls

2 calls:

19.0ms	re
17.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
93.9%	3	`re`
99.4%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes49.0ms (0.5%)

Memory

-87.1MiB live, 86.5MiB allocated

Counts

62 → 5

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))
(.f64 re (.f64 #s(literal 1/6 binary64) (*.f64 re re)))
(.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re))
(fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (.f64 im im) (.f64 im (*.f64 im #s(literal 1/24 binary64))) #s(literal 1 binary64))
(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64)))
(fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 re (*.f64 im 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 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -2/3 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) im #s(literal 1 binary64)))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) re)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (/.f64 (.f64 (.f64 re re) #s(literal 1/36 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 re (/.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))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)))
(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 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 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (.f64 re (.f64 re #s(literal 1/2 binary64))) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal -1/720 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 re re) re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 im (.f64 im (.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (/.f64 (fma.f64 (.f64 re re) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 re (/.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 (.f64 im im) (.f64 im im)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (.f64 re re)))) re)))
(.f64 (.f64 re (.f64 re re)) (-.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)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.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 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 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)) (fma.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 1/24 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.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 re (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 (.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)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 re (fma.f64 (/.f64 (.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal -1/8 binary64))) (-.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (.f64 re #s(literal -1/12 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 re (/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)))) (/.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #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 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 (.f64 im im) (*.f64 im im))))
(fma.f64 re (fma.f64 re (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(cos.f64 im)
(exp.f64 re)

Outputs
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #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 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 (.f64 im im) (*.f64 im im))))
(cos.f64 im)
(exp.f64 re)
(cos.f64 im)
(exp.f64 re)

Calls

2 calls:

30.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
16.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
93.7%	3	`(exp.f64 re)`
99.1%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes122.0ms (1.2%)

Memory

-17.4MiB live, 177.7MiB allocated

Counts

61 → 5

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))
(.f64 re (.f64 #s(literal 1/6 binary64) (*.f64 re re)))
(.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re))
(fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (.f64 im im) (.f64 im (*.f64 im #s(literal 1/24 binary64))) #s(literal 1 binary64))
(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64)))
(fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 re (*.f64 im 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 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -2/3 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) im #s(literal 1 binary64)))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) re)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (/.f64 (.f64 (.f64 re re) #s(literal 1/36 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 re (/.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))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)))
(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 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 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (.f64 re (.f64 re #s(literal 1/2 binary64))) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal -1/720 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 re re) re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 im (.f64 im (.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (/.f64 (fma.f64 (.f64 re re) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 re (/.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 (.f64 im im) (.f64 im im)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (.f64 re re)))) re)))
(.f64 (.f64 re (.f64 re re)) (-.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)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.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 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 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)) (fma.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 1/24 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.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 re (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 (.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)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 re (fma.f64 (/.f64 (.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal -1/8 binary64))) (-.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (.f64 re #s(literal -1/12 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 re (/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)))) (/.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #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 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 (.f64 im im) (*.f64 im im))))
(fma.f64 re (fma.f64 re (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(cos.f64 im)

Outputs
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #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 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 (.f64 im im) (*.f64 im im))))
(cos.f64 im)
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(cos.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:

44.0ms	re
22.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
19.0ms	im
17.0ms	(cos.f64 im)
16.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
57.8%	2	`im`
57.8%	2	`(cos.f64 im)`
68.5%	3	`(exp.f64 re)`
71.1%	4	`re`
72.9%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes106.0ms (1%)

Memory

0.1MiB live, 159.1MiB allocated

Counts

60 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))
(.f64 re (.f64 #s(literal 1/6 binary64) (*.f64 re re)))
(.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re))
(fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (.f64 im im) (.f64 im (*.f64 im #s(literal 1/24 binary64))) #s(literal 1 binary64))
(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64)))
(fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 re (*.f64 im 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 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -2/3 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) im #s(literal 1 binary64)))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) re)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (/.f64 (.f64 (.f64 re re) #s(literal 1/36 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 re (/.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))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)))
(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 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 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (.f64 re (.f64 re #s(literal 1/2 binary64))) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal -1/720 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 re re) re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 im (.f64 im (.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (/.f64 (fma.f64 (.f64 re re) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 re (/.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 (.f64 im im) (.f64 im im)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (.f64 re re)))) re)))
(.f64 (.f64 re (.f64 re re)) (-.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)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.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 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 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)) (fma.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 1/24 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.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 re (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 (.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)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 re (fma.f64 (/.f64 (.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal -1/8 binary64))) (-.f64 (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (.f64 re #s(literal -1/12 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 re (/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)))) (/.f64 re (fma.f64 re (.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #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 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 (.f64 im im) (*.f64 im im))))
(fma.f64 re (fma.f64 re (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))

Outputs

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

(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.f64 im 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:

36.0ms	im
18.0ms	re
17.0ms	(cos.f64 im)
17.0ms	(exp.f64 re)
15.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
40.6%	2	`im`
44.6%	2	`(cos.f64 im)`
46.9%	2	`(exp.f64 re)`
50.5%	3	`re`
52.8%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes8.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated

Counts

25 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))
(.f64 re (.f64 #s(literal 1/6 binary64) (*.f64 re re)))
(.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re))
(fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (.f64 im im) (.f64 im (*.f64 im #s(literal 1/24 binary64))) #s(literal 1 binary64))
(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64)))
(fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 re (*.f64 im im)) re)

Outputs

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

(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.f64 im 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

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
52.0%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes33.0ms (0.3%)

Memory

-3.8MiB live, 33.2MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

Calls

4 calls:

18.0ms	re
5.0ms	(cos.f64 im)
5.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
4.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
43.9%	2	`(cos.f64 im)`
38.8%	1	`(exp.f64 re)`
38.8%	1	`re`
44.0%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes10.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes40.0ms (0.4%)

Memory

-22.4MiB live, 20.8MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

(fma.f64 #s(literal -1/2 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))

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

Calls

2 calls:

35.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
4.0ms	(cos.f64 im)

Results

Accuracy	Segments	Branch
40.2%	2	`(cos.f64 im)`
42.9%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes5.0ms (0%)

Memory

14.8MiB live, 14.8MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

(fma.f64 #s(literal -1/2 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))

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
42.9%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes4.0ms (0%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

(fma.f64 #s(literal -1/2 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))

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
42.9%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes13.0ms (0.1%)

Memory

-5.8MiB live, 33.3MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs
(fma.f64 #s(literal -1/2 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))

Calls

4 calls:

4.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
3.0ms	im
3.0ms	re
2.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
36.2%	1	`re`
36.2%	1	`(exp.f64 re)`
38.2%	2	`im`
40.3%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes14.0ms (0.1%)

Memory

-6.3MiB live, 32.4MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	(cos.f64 im)
3.0ms	im
3.0ms	re
2.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
2.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
33.0%	2	`re`
33.0%	2	`(exp.f64 re)`
30.8%	1	`im`
33.8%	2	`(cos.f64 im)`
33.9%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes11.0ms (0.1%)

Memory

-11.0MiB live, 28.2MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))

Outputs
(+.f64 #s(literal 1 binary64) re)

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
29.8%	1	`im`
29.8%	1	`(exp.f64 re)`
29.8%	1	`re`
29.8%	1	`(cos.f64 im)`
29.8%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes8.0ms (0.1%)

Memory

21.4MiB live, 21.4MiB allocated

Accuracy

Total -16.9b remaining (-37.4%)

Threshold costs -16.9b (-37.4%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
re

Outputs
#s(literal 1 binary64)

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
29.3%	1	`(cos.f64 im)`
29.3%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
29.3%	1	`re`
29.3%	1	`(exp.f64 re)`
29.3%	1	`im`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999999977	1.0
0.0ms	0.0	0.01969957185169407
0.0ms	-0.021303413334509757	-0.0
0.0ms	-inf	-0.999987724197457

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999999977	1.0
0.0ms	0.0	0.01969957185169407
0.0ms	-0.021303413334509757	-0.0
0.0ms	-inf	-0.999987724197457

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch7.0ms (0.1%)

Memory

-42.3MiB live, 1.7MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
6.0ms	0.9999999999999977	1.0
0.0ms	0.0	0.01969957185169407
0.0ms	-0.021303413334509757	-0.0
0.0ms	-inf	-0.999987724197457

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999999977	1.0
0.0ms	0.0	0.01969957185169407
0.0ms	-0.021303413334509757	-0.0
0.0ms	-inf	-0.999987724197457

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999999977	1.0
0.0ms	0.0	0.01969957185169407
0.0ms	-0.021303413334509757	-0.0
0.0ms	-inf	-0.999987724197457

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999999977	1.0
0.0ms	0.0	0.01969957185169407
0.0ms	-0.021303413334509757	-0.0
0.0ms	-inf	-0.999987724197457

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999999977	1.0
0.0ms	0.0	0.01969957185169407
0.0ms	-0.021303413334509757	-0.0
0.0ms	-inf	-0.999987724197457

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.01969957185169407
0.0ms	-0.021303413334509757	-0.0

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.01969957185169407
0.0ms	-0.021303413334509757	-0.0

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.01969957185169407

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.01969957185169407

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.005975011346459	333858281088.5976
0.0ms	0.0	0.01969957185169407

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.005975011346459	333858281088.5976
0.0ms	0.0	0.01969957185169407

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.005975011346459	333858281088.5976
0.0ms	0.0	0.01969957185169407

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.01969957185169407

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.01969957185169407

Compiler

Compiled 10 to 10 computations (0% saved)

simplify17.0ms (0.2%)

Memory

-7.9MiB live, 30.8MiB allocated

Algorithm

1×	egg-herbie

Rules

38×	`*-commutative_binary64`
8×	`if-if-or-not_binary32`
6×	`if-not_binary32`
4×	`not-or_bool`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	813
1	113	802
2	117	802
3	120	799
4	121	799
5	124	799

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 (exp.f64 re) (.f64 #s(literal -1/2 binary64) (.f64 im im))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 (fma.f64 re (.f64 re (.f64 re #s(literal 1/6 binary64))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007199254740971/9007199254740992 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 (exp.f64 re) (.f64 #s(literal -1/2 binary64) (.f64 im im))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 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)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007199254740971/9007199254740992 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 (exp.f64 re) (.f64 #s(literal -1/2 binary64) (.f64 im im))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007199254740971/9007199254740992 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 (exp.f64 re) (.f64 #s(literal -1/2 binary64) (.f64 im im))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007199254740971/9007199254740992 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #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 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 (.f64 im im) (.f64 im im)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007199254740971/9007199254740992 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #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 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 (.f64 im im) (.f64 im im)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (cos.f64 im) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007199254740971/9007199254740992 binary64)) (cos.f64 im) (exp.f64 re)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #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 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 (.f64 im im) (.f64 im im)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (cos.f64 im) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007199254740971/9007199254740992 binary64)) (cos.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) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im 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))))
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(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #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)))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #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)))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 re (.f64 re re)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 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)))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)

Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 (exp.f64 re) (.f64 #s(literal -1/2 binary64) (.f64 im im))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 (fma.f64 re (.f64 re (.f64 re #s(literal 1/6 binary64))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007199254740971/9007199254740992 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 (exp.f64 re) (.f64 #s(literal -1/2 binary64) (.f64 im im))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 (cos.f64 im) (fma.f64 re (.f64 re (.f64 re #s(literal 1/6 binary64))) (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) (cos.f64 im)) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007199254740971/9007199254740992 binary64)) (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) (exp.f64 re)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 (exp.f64 re) (.f64 #s(literal -1/2 binary64) (.f64 im im))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 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)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007199254740971/9007199254740992 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 (exp.f64 re) (.f64 #s(literal -1/2 binary64) (.f64 im im))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 (cos.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) (cos.f64 im)) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007199254740971/9007199254740992 binary64)) (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) (exp.f64 re)))))
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(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #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 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 (.f64 im im) (.f64 im im)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (cos.f64 im) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007199254740971/9007199254740992 binary64)) (cos.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) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im 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) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im 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) (cos.f64 im)) #s(literal 0 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #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)))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #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)))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 re (.f64 re re)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 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)))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) re))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
#s(literal 1 binary64)

soundness2.0s (19.6%)

Memory

34.4MiB live, 1 211.2MiB allocated

Rules

17 940×	`accelerator-lowering-fma.f32`
17 940×	`accelerator-lowering-fma.f64`
17 716×	`accelerator-lowering-fma.f32`
17 716×	`accelerator-lowering-fma.f64`
13 992×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	143	1216
1	480	1138
2	1628	1110
3	5138	1094
4	7569	1094
0	8368	971
0	218	1815
1	671	1731
2	2149	1672
3	6857	1647
0	8110	1480
0	278	3272
1	952	3170
2	3584	2762
3	6775	2758
0	8660	2459
0	64	283
1	178	272
2	461	268
3	1054	264
4	1447	264
5	1857	264
6	2380	264
7	2886	264
8	3528	264
9	5578	264
10	7980	264
0	8041	242

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×	node limit

Compiler

Compiled 1 513 to 568 computations (62.5% saved)

preprocess130.0ms (1.3%)

Memory: 12.0MiB live, 222.8MiB allocated
Remove: (abs im)
Compiler: Compiled 1 698 to 212 computations (87.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	34
1	39	34
2	72	32
3	108	32
4	166	32
5	206	32
6	250	32
7	284	32
8	295	32
9	295	32
0	5	5
1	6	5
0	6	5

Iter	Nodes	Cost
0	16	34
1	39	34
2	72	32
3	108	32
4	166	32
5	206	32
6	250	32
7	284	32
8	295	32
9	295	32
0	5	5
1	6	5
0	6	5

analyze0.0ms (0%)

sample1.0s (10.1%)

preprocess52.0ms (0.5%)

explain154.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize23.0ms (0.2%)

series3.0ms (0%)

rewrite31.0ms (0.3%)

simplify443.0ms (4.3%)

eval6.0ms (0.1%)

prune6.0ms (0.1%)

simplify14.0ms (0.1%)

localize62.0ms (0.6%)

series13.0ms (0.1%)

rewrite359.0ms (3.5%)

simplify607.0ms (5.8%)

eval111.0ms (1.1%)

prune137.0ms (1.3%)

simplify1.1s (10.3%)

localize131.0ms (1.3%)

series19.0ms (0.2%)

rewrite491.0ms (4.7%)

simplify544.0ms (5.2%)

eval259.0ms (2.5%)

prune168.0ms (1.6%)

simplify81.0ms (0.8%)

localize292.0ms (2.8%)

series10.0ms (0.1%)

rewrite455.0ms (4.4%)

simplify415.0ms (4%)

eval206.0ms (2%)

prune214.0ms (2.1%)

regimes147.0ms (1.4%)

regimes104.0ms (1%)

regimes22.0ms (0.2%)

regimes21.0ms (0.2%)

regimes22.0ms (0.2%)

regimes40.0ms (0.4%)

regimes49.0ms (0.5%)

regimes122.0ms (1.2%)

regimes106.0ms (1%)

regimes8.0ms (0.1%)

regimes33.0ms (0.3%)

regimes10.0ms (0.1%)

regimes40.0ms (0.4%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes13.0ms (0.1%)

regimes14.0ms (0.1%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch7.0ms (0.1%)

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%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify17.0ms (0.2%)

soundness2.0s (19.6%)

preprocess130.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	34
1	39	34
2	72	32
3	108	32
4	166	32
5	206	32
6	250	32
7	284	32
8	295	32
9	295	32
0	5	5
1	6	5
0	6	5