Metrics for math.exp on complex, real part

analyze0.0ms (0%)

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 8 to 6 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample4.1s (18.6%)

Results

3.9s

8256×

valid

Precisions

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

ival-cos: 1.7s (86.1% of total)

ival-mult: 205.0ms (10.3% of total)

ival-exp: 62.0ms (3.1% of total)

const: 7.0ms (0.4% of total)

backward-pass: 3.0ms (0.2% of total)

Bogosity

preprocess19.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

222×	`fma-define`
184×	`sum3-define`
124×	`fmsub-define`
100×	`fnmadd-define`
60×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	39	34
2	73	32
3	110	32
4	198	32
5	308	32
6	373	32
7	458	32
8	662	32
9	662	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))))
(fnmsub (exp re) (cos im) 0)
(* (exp im) (cos re))

Symmetry

(abs im)

explain74.0ms (0.3%)

FPErrors

Click to see full error table

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

Results

58.0ms

512×

valid

Compiler

Compiled 35 to 17 computations (51.4% saved)

Precisions

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

ival-cos: 29.0ms (75% of total)

ival-exp: 5.0ms (12.9% of total)

ival-mult: 4.0ms (10.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

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%)

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

localize26.0ms (0.1%)

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))

Results

20.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-cos: 6.0ms (61.9% of total)

ival-exp: 2.0ms (20.6% of total)

ival-mult: 2.0ms (20.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series6.0ms (0%)

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
3.0ms	re	@	inf	(* (exp re) (cos im))
1.0ms	im	@	0	(* (exp re) (cos im))
0.0ms	re	@	0	(* (exp re) (cos im))
0.0ms	re	@	-inf	(* (exp re) (cos im))
0.0ms	im	@	inf	(* (exp re) (cos im))

rewrite22.0ms (0.1%)

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)

simplify200.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1922×	`-lowering-.f32`
1922×	`-lowering-.f64`
1832×	`sum3-define`
1604×	`fnmadd-define`
1524×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	277
1	186	250
2	587	247
3	1523	242
4	2063	242
5	2744	242
6	3594	242
7	4443	242
8	5873	242
0	8029	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) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 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) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 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) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal -1/720 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))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 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)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 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%)

Compiler: Compiled 358 to 48 computations (86.6% saved)

prune6.0ms (0%)

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
▶	51.8%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
	66.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im))
▶	62.5%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))
▶	62.0%	(.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	71.0%	(exp.f64 re)
▶	51.1%	(cos.f64 im)

Compiler

Compiled 127 to 93 computations (26.8% saved)

simplify51.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

310×	`fma-define`
288×	`-lowering-.f32`
288×	`-lowering-.f64`
272×	`fma-lowering-fma.f32`
272×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	93
1	44	85
2	106	85
3	252	85
4	397	85
5	507	85
6	514	85
0	514	85

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

localize118.0ms (0.5%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 re #s(literal 1/2 binary64))
✓	accuracy	100.0%	(cos.f64 im)
✓	accuracy	100.0%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
✓	accuracy	99.9%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))
✓	accuracy	100.0%	(*.f64 im im)
✓	accuracy	100.0%	(exp.f64 re)
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (.f64 im im))
✓	accuracy	95.0%	(.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
✓	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)

Results

55.0ms

256×

valid

Compiler

Compiled 96 to 19 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 12.0ms (44.9% of total)

ival-add: 6.0ms (22.5% of total)

ival-cos: 6.0ms (22.5% of total)

ival-exp: 2.0ms (7.5% of total)

const: 1.0ms (3.7% of total)

backward-pass: 0.0ms (0% of total)

series14.0ms (0.1%)

Counts

13 → 192

Calls

Call 1

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

Calls

48 calls:

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

rewrite11.2s (50.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4274×	`-lowering-.f32`
4274×	`-lowering-.f64`
2776×	`/-lowering-/.f32`
2776×	`/-lowering-/.f64`
1674×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	74
1	88	66
2	783	66
3	7945	66
0	8655	66

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 448

Calls

Call 1

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

Outputs
(exp.f64 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)))
(/.f64 (cos.f64 im) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal -1 binary64)))) (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re #s(literal -1 binary64)) (.f64 (cos.f64 im) (+.f64 (.f64 re re) #s(literal -1 binary64)))))
(/.f64 (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal -1 binary64)))))
(/.f64 (.f64 (cos.f64 im) (+.f64 (.f64 re re) #s(literal -1 binary64))) (+.f64 re #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal -1 binary64))))))
(/.f64 (neg.f64 (.f64 (cos.f64 im) (+.f64 (.f64 re re) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) re))
(/.f64 (+.f64 (pow.f64 (.f64 re (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 re (cos.f64 im)) (.f64 re (cos.f64 im))) (-.f64 (.f64 (cos.f64 im) (cos.f64 im)) (.f64 (*.f64 re (cos.f64 im)) (cos.f64 im)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (.f64 re (cos.f64 im)) #s(literal 3 binary64))) (+.f64 (.f64 (cos.f64 im) (cos.f64 im)) (-.f64 (.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 (cos.f64 im) (cos.f64 im))) (-.f64 (*.f64 re (cos.f64 im)) (cos.f64 im)))
(/.f64 (-.f64 (.f64 (cos.f64 im) (cos.f64 im)) (.f64 (.f64 re (cos.f64 im)) (.f64 re (cos.f64 im)))) (-.f64 (cos.f64 im) (*.f64 re (cos.f64 im))))
(/.f64 (.f64 (cos.f64 im) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal -1 binary64))))))
(/.f64 (.f64 (cos.f64 im) (-.f64 #s(literal 0 binary64) (+.f64 (.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 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (cos.f64 im)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal -1 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.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))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 re #s(literal -1 binary64))))) (cos.f64 im)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (/.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal -1 binary64))))))
(.f64 (+.f64 (.f64 re re) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (cos.f64 im)))
(.f64 (+.f64 (.f64 re re) #s(literal -1 binary64)) (/.f64 (cos.f64 im) (+.f64 re #s(literal -1 binary64))))
(.f64 (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 re #s(literal -1 binary64))))))
(.f64 (.f64 (cos.f64 im) (+.f64 (*.f64 re re) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (+.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) (.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 (.f64 re re))) (.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 (-.f64 #s(literal 1 binary64) re) (.f64 re re)))))
(.f64 (/.f64 (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal -1 binary64)))) (+.f64 (+.f64 (.f64 re re) #s(literal -1 binary64)) re))) (+.f64 (+.f64 (.f64 re re) #s(literal -1 binary64)) re))
(.f64 (/.f64 (.f64 (cos.f64 im) (+.f64 (.f64 re re) #s(literal -1 binary64))) (+.f64 (.f64 re re) #s(literal -1 binary64))) (+.f64 re #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (cos.f64 im) (+.f64 (.f64 re re) #s(literal -1 binary64))) (+.f64 (.f64 re (.f64 re re)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal 1 binary64)))))
(+.f64 re #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) re)
(+.f64 (*.f64 re (/.f64 re (+.f64 re #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))
(-.f64 (*.f64 re (/.f64 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 #s(literal 1 binary64) re #s(literal 1 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 re #s(literal -1 binary64)))))))
(neg.f64 (/.f64 (+.f64 (*.f64 re re) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) re)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 re #s(literal -1 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.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 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 re #s(literal -1 binary64)))))
(/.f64 (+.f64 (*.f64 re re) #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 re #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 re re) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) re))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal -1 binary64)))) (+.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) (-.f64 #s(literal 1 binary64) (.f64 re (*.f64 re re))))))
(/.f64 (+.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal -1 binary64)))) (+.f64 (.f64 re (*.f64 re re)) #s(literal -1 binary64))))
(/.f64 (+.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) #s(literal -1 binary64)) (.f64 (+.f64 re #s(literal -1 binary64)) (+.f64 (.f64 re (.f64 re (.f64 re re))) (+.f64 #s(literal 1 binary64) (.f64 re re)))))
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(.f64 (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (-.f64 (.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re #s(literal -1/2 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 re (-.f64 (.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 re #s(literal -1/2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal 1/4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (-.f64 (.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/8 binary64))))
(.f64 (+.f64 (.f64 (.f64 re re) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (-.f64 (*.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal -1/2 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (-.f64 (.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 re (-.f64 (.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) (.f64 re (-.f64 (.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (-.f64 (.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) (-.f64 (.f64 re (-.f64 (*.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 re (-.f64 (.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) (.f64 re (-.f64 (.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 re (-.f64 (*.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 (.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 im)) #s(literal 2 binary64))
(*.f64 im im)
(.f64 #s(literal 1 binary64) (.f64 im im))
(.f64 (.f64 im im) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 im)) (exp.f64 (log.f64 im)))
(.f64 (.f64 #s(literal 1 binary64) im) im)
(*.f64 re #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) re)
(.f64 (.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64))

simplify182.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

3144×	`+-lowering-+.f64`
3144×	`+-lowering-+.f32`
2288×	`-lowering-.f32`
2288×	`-lowering-.f64`
1370×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	1375
1	505	1174
2	2101	1152
3	7551	1152
0	8292	1152

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

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 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(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)))))
re
(* re (+ 1 (* 1/2 re)))
(* re (+ 1 (* 1/2 re)))
(* re (+ 1 (* 1/2 re)))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (/ 1 re)))
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)))
(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 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)

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

eval100.0ms (0.5%)

Compiler: Compiled 15881 to 1645 computations (89.6% saved)

prune75.0ms (0.3%)

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	673	14	687
Fresh	0	1	1
Picked	1	4	5
Done	0	1	1
Total	674	20	694

Accuracy

100.0%

Counts

694 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.2%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64))))))))
▶	39.5%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
▶	36.5%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
	28.4%	(+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))
	27.0%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
	27.8%	(+.f64 #s(literal 1 binary64) re)
	29.1%	(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal -1/720 binary64)))))))))
	30.3%	(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))))
	28.2%	(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
✓	51.8%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
	37.7%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))))
▶	66.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im))
	35.6%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal -1/720 binary64)))))))))
	37.2%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))))
	35.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
✓	62.5%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	71.0%	(exp.f64 re)
✓	51.1%	(cos.f64 im)
▶	27.3%	#s(literal 1 binary64)

Compiler

Compiled 541 to 377 computations (30.3% saved)

simplify98.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64))))))
✓	cost-diff	(*.f64 im im)
✓	cost-diff	(.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64)))))))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64))))))))
✓	cost-diff	(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))
✓	cost-diff	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
✓	cost-diff	(*.f64 re #s(literal 1/2 binary64))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))
✓	cost-diff	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))
✓	cost-diff	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
✓	cost-diff	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im))

Rules

2486×	`fma-define`
2064×	`fma-lowering-fma.f32`
2064×	`fma-lowering-fma.f64`
748×	`-lowering-.f32`
748×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	240
1	80	205
2	256	205
3	664	205
4	1554	205
5	2786	205
6	3035	205
7	3047	205
8	3047	205
9	3461	205
10	3461	205
0	3461	205

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize166.0ms (0.8%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64)))))))
✓	accuracy	99.8%	(.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64)))))
✓	accuracy	99.7%	(.f64 (.f64 im im) #s(literal -1/720 binary64))
✓	accuracy	99.7%	(.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal -1/720 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
✓	accuracy	99.9%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
✓	accuracy	99.9%	(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
✓	accuracy	99.5%	(*.f64 re #s(literal 1/6 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 re #s(literal 1/2 binary64))
✓	accuracy	100.0%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im))
✓	accuracy	99.9%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
✓	accuracy	99.9%	(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
✓	accuracy	99.5%	(*.f64 re #s(literal 1/6 binary64))

Results

93.0ms

256×

valid

Compiler

Compiled 243 to 29 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 20.0ms (36.6% of total)

ival-cos: 13.0ms (23.8% of total)

...c/correct-round.rkt:119:19: 11.0ms (20.2% of total)

ival-add: 10.0ms (18.3% of total)

const: 1.0ms (1.8% of total)

backward-pass: 0.0ms (0% of total)

series14.0ms (0.1%)

Counts

18 → 228

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
2.0ms	im	@	0	(* (* im im) (+ -1/2 (* im (* im (+ 1/24 (* (* im im) -1/720))))))
2.0ms	im	@	-inf	(* (+ 1 (* re (+ 1 (* re (+ 1/2 (* re 1/6)))))) (cos im))
1.0ms	im	@	inf	(* (+ 1 (* re (+ 1 (* re (+ 1/2 (* re 1/6)))))) (cos im))
0.0ms	im	@	0	(* (+ 1 (* re (+ 1 (* re (+ 1/2 (* re 1/6)))))) (cos im))
0.0ms	im	@	inf	(+ 1 (* (* im im) (+ -1/2 (* im (* im (+ 1/24 (* (* im im) -1/720)))))))

rewrite411.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2924×	`-lowering-.f32`
2924×	`-lowering-.f64`
2566×	`+-lowering-+.f64`
2566×	`+-lowering-+.f32`
2172×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	165
1	176	140
2	1735	140
0	8197	140

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 477

Calls

Call 1

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

Outputs
(+.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) (.f64 (cos.f64 im) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))
(+.f64 (.f64 (cos.f64 im) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (*.f64 (cos.f64 im) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im)))
(+.f64 (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im)))
(fma.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im) (.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (.f64 (cos.f64 im) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(fma.f64 (cos.f64 im) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 (cos.f64 im) #s(literal 1 binary64)))
(/.f64 (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))
(/.f64 (.f64 (cos.f64 im) (-.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (cos.f64 im)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) (cos.f64 im)) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))
(/.f64 (neg.f64 (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (cos.f64 im) (-.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (cos.f64 im))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) (cos.f64 im))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 im) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) (.f64 (cos.f64 im) #s(literal 1 binary64))) (-.f64 (.f64 (.f64 (cos.f64 im) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (.f64 (cos.f64 im) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) (.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) (.f64 (cos.f64 im) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 im) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (cos.f64 im) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (.f64 (cos.f64 im) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) (-.f64 (.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) (.f64 (cos.f64 im) #s(literal 1 binary64))) (.f64 (.f64 (cos.f64 im) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (*.f64 (cos.f64 im) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(literal 1 binary64) (cos.f64 im))) (-.f64 (.f64 (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im)) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im))) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im)) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im))) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(literal 1 binary64) (cos.f64 im))) (.f64 (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 re (+.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) #s(literal 1 binary64)))
(+.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) (/.f64 (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(-.f64 (/.f64 (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) re (+.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64))
(fma.f64 re #s(literal 1 binary64) (+.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) #s(literal 1 binary64)))
(fma.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) re #s(literal 1 binary64))
(fma.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) re #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))))
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(fma.f64 #s(literal 1/24 binary64) (.f64 im im) (.f64 (.f64 im (.f64 im #s(literal -1/720 binary64))) (*.f64 im im)))
(fma.f64 (.f64 im (.f64 im #s(literal -1/720 binary64))) (.f64 im im) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))
(fma.f64 (.f64 im #s(literal 1/24 binary64)) im (.f64 (.f64 (.f64 im im) (*.f64 im #s(literal -1/720 binary64))) im))
(/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/373248000 binary64))))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/720 binary64))) (-.f64 (.f64 im (*.f64 im #s(literal -1/720 binary64))) #s(literal 1/24 binary64)))))
(/.f64 (.f64 (.f64 im im) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/518400 binary64)))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (.f64 im im))))
(/.f64 (neg.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/373248000 binary64)))))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/720 binary64))) (-.f64 (.f64 im (*.f64 im #s(literal -1/720 binary64))) #s(literal 1/24 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 im im) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/518400 binary64))))) (neg.f64 (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (.f64 im im)))))
(/.f64 (+.f64 (pow.f64 (.f64 im (.f64 im #s(literal 1/24 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 im (.f64 (.f64 im im) (.f64 im #s(literal -1/720 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 im (.f64 im #s(literal 1/24 binary64))) (.f64 im (.f64 im #s(literal 1/24 binary64)))) (-.f64 (.f64 (.f64 im (.f64 (.f64 im im) (.f64 im #s(literal -1/720 binary64)))) (.f64 im (.f64 (.f64 im im) (.f64 im #s(literal -1/720 binary64))))) (.f64 (.f64 im (.f64 im #s(literal 1/24 binary64))) (.f64 im (.f64 (.f64 im im) (*.f64 im #s(literal -1/720 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal -1/720 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (-.f64 (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal -1/720 binary64)))) (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal -1/720 binary64))))) (.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 im im) (.f64 im (*.f64 im #s(literal -1/720 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal -1/720 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal -1/720 binary64)))) (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal -1/720 binary64))))) (-.f64 (.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal -1/720 binary64)))) (.f64 (*.f64 im im) #s(literal 1/24 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 im #s(literal 1/24 binary64)) im) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 im im) (.f64 im #s(literal -1/720 binary64))) im) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 im #s(literal 1/24 binary64)) im) (.f64 (.f64 im #s(literal 1/24 binary64)) im)) (-.f64 (.f64 (.f64 (.f64 (.f64 im im) (.f64 im #s(literal -1/720 binary64))) im) (.f64 (.f64 (.f64 im im) (.f64 im #s(literal -1/720 binary64))) im)) (.f64 (.f64 (.f64 im #s(literal 1/24 binary64)) im) (.f64 (.f64 (.f64 im im) (*.f64 im #s(literal -1/720 binary64))) im)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 im (.f64 im #s(literal -1/720 binary64))) (.f64 im im)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (-.f64 (.f64 (.f64 (.f64 im (.f64 im #s(literal -1/720 binary64))) (.f64 im im)) (.f64 (.f64 im (.f64 im #s(literal -1/720 binary64))) (.f64 im im))) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) (.f64 (.f64 im (.f64 im #s(literal -1/720 binary64))) (*.f64 im im))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 im (.f64 im #s(literal -1/720 binary64))) (.f64 im im)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 im (.f64 im #s(literal -1/720 binary64))) (.f64 im im)) (.f64 (.f64 im (.f64 im #s(literal -1/720 binary64))) (.f64 im im))) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (.f64 (.f64 (.f64 im (.f64 im #s(literal -1/720 binary64))) (.f64 im im)) (.f64 #s(literal 1/24 binary64) (*.f64 im im))))))
(.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))))
(.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64)))))
(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64)))) (.f64 im im))
(.f64 (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))) im)

simplify238.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

3510×	`-lowering-.f32`
3510×	`-lowering-.f64`
3012×	`+-lowering-+.f64`
3012×	`+-lowering-+.f32`
1150×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	173	2003
1	582	1782
2	2282	1693
0	8168	1693

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

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

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) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(* 1/6 (* (pow re 3) (cos im)))
(.f64 (cos.f64 im) (.f64 re (.f64 re (.f64 re #s(literal 1/6 binary64)))))
(* (pow re 3) (+ (* 1/6 (cos im)) (* 1/2 (/ (cos im) re))))
(.f64 (cos.f64 im) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))
(* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (/ (cos im) (pow re 2)))))
(.f64 (.f64 re re) (+.f64 (/.f64 (cos.f64 im) re) (.f64 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)) (/ (cos im) (pow re 3))))))
(.f64 (.f64 re re) (+.f64 (+.f64 (/.f64 (cos.f64 im) re) (.f64 re (.f64 (cos.f64 im) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))))) (/.f64 (cos.f64 im) (*.f64 re re))))
(* 1/6 (* (pow re 3) (cos im)))
(.f64 (cos.f64 im) (.f64 re (.f64 re (.f64 re #s(literal 1/6 binary64)))))
(* -1 (* (pow re 3) (+ (* -1/2 (/ (cos im) re)) (* -1/6 (cos im)))))
(.f64 (cos.f64 im) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 (cos im)) (/ (cos im) re)) re)) (* -1/6 (cos im)))))
(-.f64 #s(literal 0 binary64) (.f64 re (.f64 (.f64 re re) (-.f64 (.f64 (cos.f64 im) #s(literal -1/6 binary64)) (/.f64 (+.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64)) (/.f64 (cos.f64 im) 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)))))
(.f64 (-.f64 (.f64 (cos.f64 im) #s(literal -1/6 binary64)) (/.f64 (-.f64 (.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))) re)) re)) (-.f64 #s(literal 0 binary64) (.f64 re (.f64 re re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 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 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 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))))))))))))
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(pow im 2)
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(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
-1/2
#s(literal -1/2 binary64)
(- (* 1/24 (pow im 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))
(- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64))))))
(- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64))))))
(* -1/720 (pow im 4))
(.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64))))
(* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 im im))) (.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 #s(literal -1/720 binary64) (+.f64 (/.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 #s(literal -1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 im im)) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (.f64 im im))))))
(* -1/720 (pow im 4))
(.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64))))
(* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 im im))) (.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 #s(literal -1/720 binary64) (+.f64 (/.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 #s(literal -1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 im im)) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (.f64 im im))))))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 re))
(+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
(+ 1/2 (* 1/6 re))
(+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
(+ 1/2 (* 1/6 re))
(+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
(* 1/24 im)
(*.f64 im #s(literal 1/24 binary64))
(* im (+ 1/24 (* -1/720 (pow im 2))))
(.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal -1/720 binary64))))
(* im (+ 1/24 (* -1/720 (pow im 2))))
(.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal -1/720 binary64))))
(* im (+ 1/24 (* -1/720 (pow im 2))))
(.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal -1/720 binary64))))
(* -1/720 (pow im 3))
(.f64 im (.f64 (*.f64 im im) #s(literal -1/720 binary64)))
(* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(.f64 im (.f64 (.f64 im im) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 im im)))))
(* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(.f64 im (.f64 (.f64 im im) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 im im)))))
(* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(.f64 im (.f64 (.f64 im im) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 im im)))))
(* -1/720 (pow im 3))
(.f64 im (.f64 (*.f64 im im) #s(literal -1/720 binary64)))
(* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2))))))
(.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (.f64 im im))) (-.f64 #s(literal 0 binary64) (.f64 im (.f64 im im))))
(* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2))))))
(.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (.f64 im im))) (-.f64 #s(literal 0 binary64) (.f64 im (.f64 im im))))
(* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2))))))
(.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (.f64 im im))) (-.f64 #s(literal 0 binary64) (.f64 im (.f64 im im))))
(* -1/720 (pow im 2))
(.f64 (.f64 im im) #s(literal -1/720 binary64))
(* -1/720 (pow im 2))
(.f64 (.f64 im im) #s(literal -1/720 binary64))
(* -1/720 (pow im 2))
(.f64 (.f64 im im) #s(literal -1/720 binary64))
(* -1/720 (pow im 2))
(.f64 (.f64 im im) #s(literal -1/720 binary64))
(* -1/720 (pow im 2))
(.f64 (.f64 im im) #s(literal -1/720 binary64))
(* -1/720 (pow im 2))
(.f64 (.f64 im im) #s(literal -1/720 binary64))
(* -1/720 (pow im 2))
(.f64 (.f64 im im) #s(literal -1/720 binary64))
(* -1/720 (pow im 2))
(.f64 (.f64 im im) #s(literal -1/720 binary64))
(* -1/720 (pow im 2))
(.f64 (.f64 im im) #s(literal -1/720 binary64))
(* -1/720 (pow im 2))
(.f64 (.f64 im im) #s(literal -1/720 binary64))
(* -1/720 (pow im 2))
(.f64 (.f64 im im) #s(literal -1/720 binary64))
(* -1/720 (pow im 2))
(.f64 (.f64 im im) #s(literal -1/720 binary64))
(* 1/24 (pow im 2))
(.f64 im (.f64 im #s(literal 1/24 binary64)))
(* (pow im 2) (+ 1/24 (* -1/720 (pow im 2))))
(.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64)))))
(* (pow im 2) (+ 1/24 (* -1/720 (pow im 2))))
(.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64)))))
(* (pow im 2) (+ 1/24 (* -1/720 (pow im 2))))
(.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64)))))
(* -1/720 (pow im 4))
(.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64))))
(* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 im im))) (.f64 (.f64 im im) (*.f64 im im)))
(* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 im im))) (.f64 (.f64 im im) (*.f64 im im)))
(* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 im im))) (.f64 (.f64 im im) (*.f64 im im)))
(* -1/720 (pow im 4))
(.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64))))
(* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 im im))) (.f64 (.f64 im im) (*.f64 im im)))
(* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 im im))) (.f64 (.f64 im im) (*.f64 im im)))
(* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 im im))) (.f64 (.f64 im im) (*.f64 im im)))

eval172.0ms (0.8%)

Compiler: Compiled 28715 to 2252 computations (92.2% saved)

prune136.0ms (0.6%)

Pruning

40 alts after pruning (33 fresh and 7 done)

	Pruned	Kept	Total
New	947	26	973
Fresh	3	7	10
Picked	3	2	5
Done	0	5	5
Total	953	40	993

Accuracy

100.0%

Counts

993 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.5%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))
	52.7%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (cos.f64 im)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))
	14.5%	(-.f64 #s(literal 0 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))))
	28.2%	(+.f64 (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))))) #s(literal 1 binary64))
	30.7%	(+.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal -1/2 binary64) (.f64 im (*.f64 im #s(literal 1/24 binary64)))))))))
▶	27.8%	(+.f64 re #s(literal 1 binary64))
	29.9%	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (-.f64 re (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))
	31.3%	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 re (.f64 re #s(literal 1/2 binary64))) (.f64 re (.f64 re #s(literal 1/2 binary64))))) (-.f64 re (.f64 re (.f64 re #s(literal 1/2 binary64))))))
	32.4%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))
	18.6%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (.f64 (.f64 im im) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 im im)))))))))
▶	28.4%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))
	27.6%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64))))))
	27.0%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
▶	39.5%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64))) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
▶	31.3%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
	39.5%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (/.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
	39.5%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))))
	29.9%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))))
✓	36.5%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
	52.7%	(.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))) (cos.f64 im))
▶	66.0%	(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im))
	29.1%	(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal -1/720 binary64)))))))))
	30.3%	(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))))
	28.2%	(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
✓	51.8%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
	37.7%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))))
	35.6%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal -1/720 binary64)))))))))
	37.2%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))))
	35.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
✓	62.5%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))
	23.3%	(.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) re)) (/.f64 #s(literal -1 binary64) (.f64 re re))) re)) (-.f64 #s(literal 0 binary64) (.f64 re (.f64 re re))))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	15.3%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
	12.3%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
	15.3%	(.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
	15.1%	(.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))))
	12.3%	(.f64 #s(literal 1/2 binary64) (.f64 re re))
✓	71.0%	(exp.f64 re)
✓	51.1%	(cos.f64 im)
✓	27.3%	#s(literal 1 binary64)

Compiler

Compiled 1763 to 952 computations (46% saved)

simplify194.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
✓	cost-diff	128	(.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
✓	cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64))) re) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64))) re) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))
✓	cost-diff	0	(.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64))) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64))) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
✓	cost-diff	0	(+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))
✓	cost-diff	0	(*.f64 im im)
✓	cost-diff	0	(.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))
✓	cost-diff	0	(+.f64 re #s(literal 1 binary64))
✓	cost-diff	0	(.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) re)
✓	cost-diff	0	(+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
✓	cost-diff	0	(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im))

Rules

3748×	`-lowering-.f32`
3748×	`-lowering-.f64`
1582×	`sum3-define`
1552×	`times-frac`
1222×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	373
1	128	345
2	382	326
3	1166	320
4	2549	320
5	4321	320
0	8258	320

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (+ (+ 1 re) (* re (* re (+ 1/2 (* re 1/6))))) (cos im))
(+ (+ 1 re) (* re (* re (+ 1/2 (* re 1/6)))))
(+ 1 re)
1
re
(* re (* re (+ 1/2 (* re 1/6))))
(* re (+ 1/2 (* re 1/6)))
(+ 1/2 (* re 1/6))
1/2
(* re 1/6)
1/6
(cos im)
im
(+ re 1)
re
1
(+ 1 (* (* im im) (+ -1/2 (* im (* im 1/24)))))
1
(* (* im im) (+ -1/2 (* im (* im 1/24))))
(* im im)
im
(+ -1/2 (* im (* im 1/24)))
-1/2
(* im (* im 1/24))
(* im 1/24)
1/24
(+ 1 (* re (+ 1 (/ (* (- 1/4 (* (* re re) 1/36)) re) (- 1/2 (* re 1/6))))))
1
(* re (+ 1 (/ (* (- 1/4 (* (* re re) 1/36)) re) (- 1/2 (* re 1/6)))))
re
(+ 1 (/ (* (- 1/4 (* (* re re) 1/36)) re) (- 1/2 (* re 1/6))))
(/ (* (- 1/4 (* (* re re) 1/36)) re) (- 1/2 (* re 1/6)))
(* (- 1/4 (* (* re re) 1/36)) re)
(- 1/4 (* (* re re) 1/36))
1/4
(* (* re re) 1/36)
(* re re)
1/36
(- 1/2 (* re 1/6))
1/2
(* re 1/6)
1/6
(+ 1 (* re (+ 1 (/ (* (+ 1/8 (* (* re (* re re)) 1/216)) re) (+ 1/4 (* (* re 1/6) (- (* re 1/6) 1/2)))))))
1
(* re (+ 1 (/ (* (+ 1/8 (* (* re (* re re)) 1/216)) re) (+ 1/4 (* (* re 1/6) (- (* re 1/6) 1/2))))))
re
(+ 1 (/ (* (+ 1/8 (* (* re (* re re)) 1/216)) re) (+ 1/4 (* (* re 1/6) (- (* re 1/6) 1/2)))))
(/ (* (+ 1/8 (* (* re (* re re)) 1/216)) re) (+ 1/4 (* (* re 1/6) (- (* re 1/6) 1/2))))
(* (+ 1/8 (* (* re (* re re)) 1/216)) re)
(+ 1/8 (* (* re (* re re)) 1/216))
1/8
(* (* re (* re re)) 1/216)
(* re (* re re))
(* re re)
1/216
(+ 1/4 (* (* re 1/6) (- (* re 1/6) 1/2)))
1/4
(* (* re 1/6) (- (* re 1/6) 1/2))
(* re 1/6)
1/6
(- (* re 1/6) 1/2)
1/2

Outputs
(* (+ (+ 1 re) (* re (* re (+ 1/2 (* re 1/6))))) (cos im))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im))
(+ (+ 1 re) (* re (* re (+ 1/2 (* re 1/6)))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
1
#s(literal 1 binary64)
re
(* re (* re (+ 1/2 (* re 1/6))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (*.f64 re re))
(* re (+ 1/2 (* re 1/6)))
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
(+ 1/2 (* re 1/6))
(+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* re 1/6)
(*.f64 re #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(cos im)
(cos.f64 im)
im
(+ re 1)
(+.f64 #s(literal 1 binary64) re)
re
1
#s(literal 1 binary64)
(+ 1 (* (* im im) (+ -1/2 (* im (* im 1/24)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
1
#s(literal 1 binary64)
(* (* im im) (+ -1/2 (* im (* im 1/24))))
(.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))
(* im im)
(*.f64 im im)
im
(+ -1/2 (* im (* im 1/24)))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))
-1/2
#s(literal -1/2 binary64)
(* im (* im 1/24))
(.f64 (.f64 im im) #s(literal 1/24 binary64))
(* im 1/24)
(*.f64 im #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
(+ 1 (* re (+ 1 (/ (* (- 1/4 (* (* re re) 1/36)) re) (- 1/2 (* re 1/6))))))
(+.f64 #s(literal 1 binary64) (.f64 re (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) re) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64)))))))
1
#s(literal 1 binary64)
(* re (+ 1 (/ (* (- 1/4 (* (* re re) 1/36)) re) (- 1/2 (* re 1/6)))))
(.f64 re (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) re) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64))))))
re
(+ 1 (/ (* (- 1/4 (* (* re re) 1/36)) re) (- 1/2 (* re 1/6))))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) re) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64)))))
(/ (* (- 1/4 (* (* re re) 1/36)) re) (- 1/2 (* re 1/6)))
(/.f64 (.f64 re (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64))))
(* (- 1/4 (* (* re re) 1/36)) re)
(.f64 re (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal -1/36 binary64))))
(- 1/4 (* (* re re) 1/36))
(+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/36 binary64)))
1/4
#s(literal 1/4 binary64)
(* (* re re) 1/36)
(.f64 (.f64 re re) #s(literal 1/36 binary64))
(* re re)
(*.f64 re re)
1/36
#s(literal 1/36 binary64)
(- 1/2 (* re 1/6))
(+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* re 1/6)
(*.f64 re #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1 (* re (+ 1 (/ (* (+ 1/8 (* (* re (* re re)) 1/216)) re) (+ 1/4 (* (* re 1/6) (- (* re 1/6) 1/2)))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 re (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 re (+.f64 (*.f64 re #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))))))
1
#s(literal 1 binary64)
(* re (+ 1 (/ (* (+ 1/8 (* (* re (* re re)) 1/216)) re) (+ 1/4 (* (* re 1/6) (- (* re 1/6) 1/2))))))
(.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 re (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 re (+.f64 (*.f64 re #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))))
re
(+ 1 (/ (* (+ 1/8 (* (* re (* re re)) 1/216)) re) (+ 1/4 (* (* re 1/6) (- (* re 1/6) 1/2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 re (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 re (+.f64 (.f64 re #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))))
(/ (* (+ 1/8 (* (* re (* re re)) 1/216)) re) (+ 1/4 (* (* re 1/6) (- (* re 1/6) 1/2))))
(/.f64 (.f64 re (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 re (+.f64 (.f64 re #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))
(* (+ 1/8 (* (* re (* re re)) 1/216)) re)
(.f64 re (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))))
(+ 1/8 (* (* re (* re re)) 1/216))
(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (*.f64 re re)) #s(literal 1/216 binary64)))
1/8
#s(literal 1/8 binary64)
(* (* re (* re re)) 1/216)
(.f64 (.f64 re (*.f64 re re)) #s(literal 1/216 binary64))
(* re (* re re))
(.f64 re (.f64 re re))
(* re re)
(*.f64 re re)
1/216
#s(literal 1/216 binary64)
(+ 1/4 (* (* re 1/6) (- (* re 1/6) 1/2)))
(+.f64 #s(literal 1/4 binary64) (.f64 re (+.f64 (.f64 re #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))
1/4
#s(literal 1/4 binary64)
(* (* re 1/6) (- (* re 1/6) 1/2))
(.f64 re (+.f64 (.f64 re #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))
(* re 1/6)
(*.f64 re #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(- (* re 1/6) 1/2)
(+.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
1/2
#s(literal 1/2 binary64)

localize252.0ms (1.1%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 re (*.f64 re re)) #s(literal 1/216 binary64))
✓	accuracy	99.5%	(*.f64 re #s(literal 1/6 binary64))
✓	accuracy	70.5%	(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
✓	accuracy	99.9%	(.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64))) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
✓	accuracy	99.7%	(.f64 (.f64 re re) #s(literal 1/36 binary64))
✓	accuracy	99.5%	(*.f64 re #s(literal 1/6 binary64))
✓	accuracy	93.4%	(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64))) re) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64)))))
✓	accuracy	99.8%	(.f64 im (.f64 im #s(literal 1/24 binary64)))
✓	accuracy	99.5%	(*.f64 im #s(literal 1/24 binary64))
✓	accuracy	100.0%	(+.f64 re #s(literal 1 binary64))
✓	accuracy	100.0%	(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im))
✓	accuracy	99.9%	(.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
✓	accuracy	99.9%	(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
✓	accuracy	99.5%	(*.f64 re #s(literal 1/6 binary64))

Results

170.0ms

256×

valid

Compiler

Compiled 401 to 47 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-mult: 50.0ms (49.6% of total)

...c/correct-round.rkt:119:19: 20.0ms (19.8% of total)

ival-add: 15.0ms (14.9% of total)

ival-cos: 7.0ms (6.9% of total)

ival-sub: 5.0ms (5% of total)

ival-div: 4.0ms (4% of total)

const: 1.0ms (1% of total)

backward-pass: 0.0ms (0% of total)

series41.0ms (0.2%)

Counts

24 → 300

Calls

Call 1

Inputs
#<alt (* (+ (+ 1 re) (* re (* re (+ 1/2 (* re 1/6))))) (cos im))>
#<alt (+ (+ 1 re) (* re (* re (+ 1/2 (* re 1/6)))))>
#<alt (+ 1 re)>
#<alt (* re (* re (+ 1/2 (* re 1/6))))>
#<alt (+ re 1)>
#<alt (+ 1 (* (* im im) (+ -1/2 (* im (* im 1/24)))))>
#<alt (* (* im im) (+ -1/2 (* im (* im 1/24))))>
#<alt (* im im)>
#<alt (+ -1/2 (* im (* im 1/24)))>
#<alt (+ 1 (* re (+ 1 (/ (* (- 1/4 (* (* re re) 1/36)) re) (- 1/2 (* re 1/6))))))>
#<alt (* re (+ 1 (/ (* (- 1/4 (* (* re re) 1/36)) re) (- 1/2 (* re 1/6)))))>
#<alt (+ 1 (/ (* (- 1/4 (* (* re re) 1/36)) re) (- 1/2 (* re 1/6))))>
#<alt (/ (* (- 1/4 (* (* re re) 1/36)) re) (- 1/2 (* re 1/6)))>
#<alt (+ 1 (* re (+ 1 (/ (* (+ 1/8 (* (* re (* re re)) 1/216)) re) (+ 1/4 (* (* re 1/6) (- (* re 1/6) 1/2)))))))>
#<alt (* re (+ 1 (/ (* (+ 1/8 (* (* re (* re re)) 1/216)) re) (+ 1/4 (* (* re 1/6) (- (* re 1/6) 1/2))))))>
#<alt (+ 1 (/ (* (+ 1/8 (* (* re (* re re)) 1/216)) re) (+ 1/4 (* (* re 1/6) (- (* re 1/6) 1/2)))))>
#<alt (/ (* (+ 1/8 (* (* re (* re re)) 1/216)) re) (+ 1/4 (* (* re 1/6) (- (* re 1/6) 1/2))))>
#<alt (* re 1/6)>
#<alt (* re (+ 1/2 (* re 1/6)))>
#<alt (* im 1/24)>
#<alt (* im (* im 1/24))>
#<alt (* (* re re) 1/36)>
#<alt (* (* re (* re re)) 1/216)>
#<alt (* (* re 1/6) (- (* re 1/6) 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 (* (pow re 2) (+ 1/2 (* 1/6 re)))))>
#<alt (+ 1 (+ re (+ (* -1/2 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))) (* (pow re 2) (+ 1/2 (* 1/6 re))))))>
#<alt (+ 1 (+ re (+ (* (pow im 2) (+ (* -1/2 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) (* 1/24 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))))) (* (pow re 2) (+ 1/2 (* 1/6 re))))))>
#<alt (+ 1 (+ re (+ (* (pow im 2) (+ (* -1/2 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))) (* 1/24 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))))))) (* (pow re 2) (+ 1/2 (* 1/6 re))))))>
#<alt (* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))>
#<alt (* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))>
#<alt (* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))>
#<alt (* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))>
#<alt (* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))>
#<alt (* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))>
#<alt (* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))>
#<alt (* (cos im) (+ 1 (+ re (* (pow re 2) (+ 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 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 (* 1/2 (pow re 2))>
#<alt (* (pow re 2) (+ 1/2 (* 1/6 re)))>
#<alt (* (pow re 2) (+ 1/2 (* 1/6 re)))>
#<alt (* (pow re 2) (+ 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))))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 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))))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 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>
#<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 (* -1/2 (pow im 2))>
#<alt (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))>
#<alt (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))>
#<alt (* (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 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (- 1/24 (* 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 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (- 1/24 (* 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 re>
#<alt (* re (+ 1 (* 1/2 re)))>
#<alt (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))>
#<alt (* 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)))))>
#<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)) 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 re)>
#<alt (* re (+ 1/2 (* 1/6 re)))>
#<alt (* re (+ 1/2 (* 1/6 re)))>
#<alt (* 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))))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 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))))>
#<alt (* (pow re 2) (+ 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 re>
#<alt (* re (+ 1 (* 1/2 re)))>
#<alt (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))>
#<alt (* 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)))))>
#<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)) 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 re)>
#<alt (* re (+ 1/2 (* 1/6 re)))>
#<alt (* re (+ 1/2 (* 1/6 re)))>
#<alt (* 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))))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 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))))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 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 (* 1/6 re)>
#<alt (* 1/2 re)>
#<alt (* re (+ 1/2 (* 1/6 re)))>
#<alt (* re (+ 1/2 (* 1/6 re)))>
#<alt (* 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))))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 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))))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/36 (pow re 2))>
#<alt (* 1/36 (pow re 2))>
#<alt (* 1/36 (pow re 2))>
#<alt (* 1/36 (pow re 2))>
#<alt (* 1/36 (pow re 2))>
#<alt (* 1/36 (pow re 2))>
#<alt (* 1/36 (pow re 2))>
#<alt (* 1/36 (pow re 2))>
#<alt (* 1/36 (pow re 2))>
#<alt (* 1/36 (pow re 2))>
#<alt (* 1/36 (pow re 2))>
#<alt (* 1/36 (pow re 2))>
#<alt (* 1/216 (pow re 3))>
#<alt (* 1/216 (pow re 3))>
#<alt (* 1/216 (pow re 3))>
#<alt (* 1/216 (pow re 3))>
#<alt (* 1/216 (pow re 3))>
#<alt (* 1/216 (pow re 3))>
#<alt (* 1/216 (pow re 3))>
#<alt (* 1/216 (pow re 3))>
#<alt (* 1/216 (pow re 3))>
#<alt (* 1/216 (pow re 3))>
#<alt (* 1/216 (pow re 3))>
#<alt (* 1/216 (pow re 3))>
#<alt (* -1/12 re)>
#<alt (* re (- (* 1/36 re) 1/12))>
#<alt (* re (- (* 1/36 re) 1/12))>
#<alt (* re (- (* 1/36 re) 1/12))>
#<alt (* 1/36 (pow re 2))>
#<alt (* (pow re 2) (- 1/36 (* 1/12 (/ 1 re))))>
#<alt (* (pow re 2) (- 1/36 (* 1/12 (/ 1 re))))>
#<alt (* (pow re 2) (- 1/36 (* 1/12 (/ 1 re))))>
#<alt (* 1/36 (pow re 2))>
#<alt (* (pow re 2) (- 1/36 (* 1/12 (/ 1 re))))>
#<alt (* (pow re 2) (- 1/36 (* 1/12 (/ 1 re))))>
#<alt (* (pow re 2) (- 1/36 (* 1/12 (/ 1 re))))>

Calls

75 calls:

Time	Variable		Point	Expression
25.0ms	re	@	-inf	(* (* re 1/6) (- (* re 1/6) 1/2))
1.0ms	im	@	inf	(* (+ (+ 1 re) (* re (* re (+ 1/2 (* re 1/6))))) (cos im))
1.0ms	re	@	inf	(/ (* (+ 1/8 (* (* re (* re re)) 1/216)) re) (+ 1/4 (* (* re 1/6) (- (* re 1/6) 1/2))))
1.0ms	re	@	inf	(/ (* (- 1/4 (* (* re re) 1/36)) re) (- 1/2 (* re 1/6)))
0.0ms	im	@	0	(* (+ (+ 1 re) (* re (* re (+ 1/2 (* re 1/6))))) (cos im))

rewrite393.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2896×	`-lowering-.f32`
2896×	`-lowering-.f64`
2400×	`/-lowering-/.f32`
2400×	`/-lowering-/.f64`
2172×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	246
1	297	174
2	3222	166
0	8579	166

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 969

Calls

Call 1

Inputs
(* (+ (+ 1 re) (* re (* re (+ 1/2 (* re 1/6))))) (cos im))
(+ (+ 1 re) (* re (* re (+ 1/2 (* re 1/6)))))
(+ 1 re)
(* re (* re (+ 1/2 (* re 1/6))))
(+ re 1)
(+ 1 (* (* im im) (+ -1/2 (* im (* im 1/24)))))
(* (* im im) (+ -1/2 (* im (* im 1/24))))
(* im im)
(+ -1/2 (* im (* im 1/24)))
(+ 1 (* re (+ 1 (/ (* (- 1/4 (* (* re re) 1/36)) re) (- 1/2 (* re 1/6))))))
(* re (+ 1 (/ (* (- 1/4 (* (* re re) 1/36)) re) (- 1/2 (* re 1/6)))))
(+ 1 (/ (* (- 1/4 (* (* re re) 1/36)) re) (- 1/2 (* re 1/6))))
(/ (* (- 1/4 (* (* re re) 1/36)) re) (- 1/2 (* re 1/6)))
(+ 1 (* re (+ 1 (/ (* (+ 1/8 (* (* re (* re re)) 1/216)) re) (+ 1/4 (* (* re 1/6) (- (* re 1/6) 1/2)))))))
(* re (+ 1 (/ (* (+ 1/8 (* (* re (* re re)) 1/216)) re) (+ 1/4 (* (* re 1/6) (- (* re 1/6) 1/2))))))
(+ 1 (/ (* (+ 1/8 (* (* re (* re re)) 1/216)) re) (+ 1/4 (* (* re 1/6) (- (* re 1/6) 1/2)))))
(/ (* (+ 1/8 (* (* re (* re re)) 1/216)) re) (+ 1/4 (* (* re 1/6) (- (* re 1/6) 1/2))))
(* re 1/6)
(* re (+ 1/2 (* re 1/6)))
(* im 1/24)
(* im (* im 1/24))
(* (* re re) 1/36)
(* (* re (* re re)) 1/216)
(* (* re 1/6) (- (* re 1/6) 1/2))

Outputs
(+.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) (.f64 (cos.f64 im) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))
(+.f64 (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re)) (.f64 (cos.f64 im) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 (.f64 (cos.f64 im) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im)))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)) (.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (cos.f64 im)))
(+.f64 (.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (cos.f64 im)) (*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im)))
(fma.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im) (.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (cos.f64 im)))
(fma.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (cos.f64 im) (.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (.f64 (cos.f64 im) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(fma.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re) (.f64 (cos.f64 im) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))
(fma.f64 (cos.f64 im) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re)))
(/.f64 (.f64 (cos.f64 im) (+.f64 (.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 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 (.f64 re re) (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (-.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) re)))))
(/.f64 (.f64 (cos.f64 im) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (-.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) (-.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(/.f64 (.f64 (+.f64 (.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 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 (.f64 re re) (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) (cos.f64 im)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (-.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) re)))))
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(fma.f64 re (.f64 #s(literal 1/6 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
(fma.f64 #s(literal 1/6 binary64) (.f64 re (.f64 re #s(literal 1/6 binary64))) (neg.f64 (*.f64 re #s(literal 1/12 binary64))))
(fma.f64 #s(literal 1/6 binary64) (.f64 re (.f64 re #s(literal 1/6 binary64))) (.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/6 binary64) (.f64 re (.f64 re #s(literal 1/6 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
(fma.f64 #s(literal 1/6 binary64) (.f64 re (+.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (+.f64 (.f64 (.f64 re #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 re #s(literal 1/12 binary64))))
(fma.f64 (.f64 re #s(literal 1/6 binary64)) (.f64 re #s(literal 1/6 binary64)) (neg.f64 (*.f64 re #s(literal 1/12 binary64))))
(fma.f64 (.f64 re #s(literal 1/6 binary64)) (.f64 re #s(literal 1/6 binary64)) (.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 re #s(literal 1/6 binary64)) (.f64 re #s(literal 1/6 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
(fma.f64 (.f64 re #s(literal 1/6 binary64)) (+.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (+.f64 (.f64 (.f64 re #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 re #s(literal 1/12 binary64))))
(fma.f64 (.f64 re re) #s(literal 1/36 binary64) (neg.f64 (.f64 re #s(literal 1/12 binary64))))
(fma.f64 (.f64 re re) #s(literal 1/36 binary64) (.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 re re) #s(literal 1/36 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(fma.f64 #s(literal 1/36 binary64) (.f64 re re) (neg.f64 (.f64 re #s(literal 1/12 binary64))))
(fma.f64 #s(literal 1/36 binary64) (.f64 re re) (.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/36 binary64) (.f64 re re) (.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(fma.f64 (+.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (.f64 re #s(literal 1/6 binary64)) (+.f64 (.f64 (.f64 re #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 re #s(literal 1/12 binary64))))
(fma.f64 (.f64 re (.f64 re #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (neg.f64 (*.f64 re #s(literal 1/12 binary64))))
(fma.f64 (.f64 re (.f64 re #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 re (.f64 re #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
(fma.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) re (+.f64 (.f64 (.f64 re #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 re #s(literal 1/12 binary64))))
(fma.f64 (.f64 re #s(literal 1/36 binary64)) re (neg.f64 (.f64 re #s(literal 1/12 binary64))))
(fma.f64 (.f64 re #s(literal 1/36 binary64)) re (.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 re #s(literal 1/36 binary64)) re (.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(fma.f64 (.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/6 binary64)) re (neg.f64 (*.f64 re #s(literal 1/12 binary64))))
(fma.f64 (.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/6 binary64)) re (.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/6 binary64)) re (.f64 #s(literal -1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
(fma.f64 (.f64 (+.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) re) #s(literal 1/6 binary64) (+.f64 (.f64 (.f64 re #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 re #s(literal 1/12 binary64))))
(/.f64 (.f64 (.f64 re (.f64 (.f64 re re) #s(literal 1/216 binary64))) (+.f64 (.f64 re (.f64 (.f64 re re) #s(literal 1/216 binary64))) #s(literal -1/8 binary64))) (+.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64)) (+.f64 (.f64 (.f64 re #s(literal 1/12 binary64)) (.f64 re #s(literal 1/12 binary64))) (.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) (.f64 re #s(literal 1/12 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64)) (.f64 (.f64 re #s(literal 1/12 binary64)) (.f64 re #s(literal 1/12 binary64)))) (.f64 (.f64 re #s(literal 1/6 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))
(/.f64 (.f64 (.f64 re #s(literal 1/6 binary64)) (+.f64 (.f64 re (.f64 (.f64 re re) #s(literal 1/216 binary64))) #s(literal -1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))
(/.f64 (.f64 (.f64 re #s(literal 1/6 binary64)) (+.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(/.f64 (.f64 (+.f64 (.f64 re (.f64 (.f64 re re) #s(literal 1/216 binary64))) #s(literal -1/8 binary64)) (.f64 re #s(literal 1/6 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (.f64 re #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64)) (.f64 (.f64 re #s(literal 1/12 binary64)) (.f64 re #s(literal 1/12 binary64))))) (neg.f64 (.f64 (.f64 re #s(literal 1/6 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 re (.f64 (.f64 re re) #s(literal 1/216 binary64))) (+.f64 (.f64 re (.f64 (.f64 re re) #s(literal 1/216 binary64))) #s(literal -1/8 binary64)))) (neg.f64 (+.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64)) (+.f64 (.f64 (.f64 re #s(literal 1/12 binary64)) (.f64 re #s(literal 1/12 binary64))) (.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) (.f64 re #s(literal 1/12 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 re #s(literal 1/6 binary64)) (+.f64 (.f64 re (.f64 (.f64 re re) #s(literal 1/216 binary64))) #s(literal -1/8 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 re #s(literal 1/6 binary64)) (+.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 re (.f64 (.f64 re re) #s(literal 1/216 binary64))) #s(literal -1/8 binary64)) (.f64 re #s(literal 1/6 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (.f64 re #s(literal 1/6 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(.f64 re (.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(.f64 #s(literal 1/6 binary64) (.f64 re (+.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(.f64 (.f64 re #s(literal 1/6 binary64)) (+.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(.f64 (+.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (*.f64 re #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) re)
(.f64 (.f64 (+.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) re) #s(literal 1/6 binary64))

simplify225.0ms (1%)

Algorithm

1×	egg-herbie

Rules

3594×	`+-lowering-+.f64`
3594×	`+-lowering-+.f32`
3046×	`-lowering-.f32`
3046×	`-lowering-.f64`
1634×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	2409
1	550	2247
2	2189	2163
0	8558	2163

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

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 (* (pow re 2) (+ 1/2 (* 1/6 re)))))
(+ 1 (+ re (+ (* -1/2 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))) (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(+ 1 (+ re (+ (* (pow im 2) (+ (* -1/2 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) (* 1/24 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))))) (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(+ 1 (+ re (+ (* (pow im 2) (+ (* -1/2 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))) (* 1/24 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))))))) (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
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)))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 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 (* -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)))))
(* -1/2 (pow im 2))
(* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))
(* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))
(* (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 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- 1/24 (* 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 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- 1/24 (* 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)))
re
(* re (+ 1 (* 1/2 re)))
(* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* 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)))))
(* 1/6 (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)) 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 re)
(* re (+ 1/2 (* 1/6 re)))
(* re (+ 1/2 (* 1/6 re)))
(* 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))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 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)))
re
(* re (+ 1 (* 1/2 re)))
(* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* 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)))))
(* 1/6 (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)) 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 re)
(* re (+ 1/2 (* 1/6 re)))
(* re (+ 1/2 (* 1/6 re)))
(* 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))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/2 re)
(* re (+ 1/2 (* 1/6 re)))
(* re (+ 1/2 (* 1/6 re)))
(* 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))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/36 (pow re 2))
(* 1/36 (pow re 2))
(* 1/36 (pow re 2))
(* 1/36 (pow re 2))
(* 1/36 (pow re 2))
(* 1/36 (pow re 2))
(* 1/36 (pow re 2))
(* 1/36 (pow re 2))
(* 1/36 (pow re 2))
(* 1/36 (pow re 2))
(* 1/36 (pow re 2))
(* 1/36 (pow re 2))
(* 1/216 (pow re 3))
(* 1/216 (pow re 3))
(* 1/216 (pow re 3))
(* 1/216 (pow re 3))
(* 1/216 (pow re 3))
(* 1/216 (pow re 3))
(* 1/216 (pow re 3))
(* 1/216 (pow re 3))
(* 1/216 (pow re 3))
(* 1/216 (pow re 3))
(* 1/216 (pow re 3))
(* 1/216 (pow re 3))
(* -1/12 re)
(* re (- (* 1/36 re) 1/12))
(* re (- (* 1/36 re) 1/12))
(* re (- (* 1/36 re) 1/12))
(* 1/36 (pow re 2))
(* (pow re 2) (- 1/36 (* 1/12 (/ 1 re))))
(* (pow re 2) (- 1/36 (* 1/12 (/ 1 re))))
(* (pow re 2) (- 1/36 (* 1/12 (/ 1 re))))
(* 1/36 (pow re 2))
(* (pow re 2) (- 1/36 (* 1/12 (/ 1 re))))
(* (pow re 2) (- 1/36 (* 1/12 (/ 1 re))))
(* (pow re 2) (- 1/36 (* 1/12 (/ 1 re))))

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) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(+.f64 (cos.f64 im) (.f64 re (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(* 1/6 (* (pow re 3) (cos im)))
(.f64 (.f64 re (.f64 (cos.f64 im) #s(literal 1/6 binary64))) (.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) (+.f64 (.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 (.f64 (cos.f64 im) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))) (+.f64 (/.f64 (cos.f64 im) (.f64 re re)) (/.f64 (cos.f64 im) (.f64 re (*.f64 re re)))))))
(* 1/6 (* (pow re 3) (cos im)))
(.f64 (.f64 re (.f64 (cos.f64 im) #s(literal 1/6 binary64))) (.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)))))
(.f64 (-.f64 (.f64 (cos.f64 im) #s(literal -1/6 binary64)) (/.f64 (+.f64 (.f64 (cos.f64 im) #s(literal 1/2 binary64)) (/.f64 (cos.f64 im) re)) re)) (-.f64 #s(literal 0 binary64) (.f64 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)))))
(.f64 (-.f64 (.f64 (cos.f64 im) #s(literal -1/6 binary64)) (/.f64 (-.f64 (.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))) re)) re)) (-.f64 #s(literal 0 binary64) (.f64 re (.f64 re re))))
(+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+ 1 (+ re (+ (* -1/2 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))) (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(+ 1 (+ re (+ (* (pow im 2) (+ (* -1/2 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) (* 1/24 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))))) (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))))
(+ 1 (+ re (+ (* (pow im 2) (+ (* -1/2 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))) (* 1/24 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))))))) (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))) (.f64 (.f64 im im) (.f64 im im))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(* 1/6 (pow re 3))
(.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(.f64 re (.f64 re (*.f64 re (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (*.f64 re (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(+.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (*.f64 re (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)))))) #s(literal 1 binary64))
(* 1/6 (pow re 3))
(.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(.f64 re (.f64 re (*.f64 re (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)) (-.f64 #s(literal 0 binary64) (.f64 re (*.f64 re re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) re)) (/.f64 #s(literal -1 binary64) (.f64 re re))) re)) (-.f64 #s(literal 0 binary64) (.f64 re (.f64 re re))))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
re
(* re (+ 1 (/ 1 re)))
(+.f64 re #s(literal 1 binary64))
(* re (+ 1 (/ 1 re)))
(+.f64 re #s(literal 1 binary64))
(* re (+ 1 (/ 1 re)))
(+.f64 re #s(literal 1 binary64))
re
(* re (+ 1 (/ 1 re)))
(+.f64 re #s(literal 1 binary64))
(* re (+ 1 (/ 1 re)))
(+.f64 re #s(literal 1 binary64))
(* re (+ 1 (/ 1 re)))
(+.f64 re #s(literal 1 binary64))
(* 1/2 (pow re 2))
(.f64 #s(literal 1/2 binary64) (.f64 re re))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
(.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
(.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
(.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(* 1/6 (pow re 3))
(.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(.f64 re (.f64 re (*.f64 re (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(.f64 re (.f64 re (*.f64 re (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(.f64 re (.f64 re (*.f64 re (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)))))
(* 1/6 (pow re 3))
(.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(.f64 re (.f64 re (*.f64 re (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(.f64 re (.f64 re (*.f64 re (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(.f64 re (.f64 re (*.f64 re (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)))))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
re
(* re (+ 1 (/ 1 re)))
(+.f64 re #s(literal 1 binary64))
(* re (+ 1 (/ 1 re)))
(+.f64 re #s(literal 1 binary64))
(* re (+ 1 (/ 1 re)))
(+.f64 re #s(literal 1 binary64))
re
(* re (+ 1 (/ 1 re)))
(+.f64 re #s(literal 1 binary64))
(* re (+ 1 (/ 1 re)))
(+.f64 re #s(literal 1 binary64))
(* re (+ 1 (/ 1 re)))
(+.f64 re #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow im 2)))
(+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))
(* 1/24 (pow im 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 im im))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im im)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 im im))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im im)))))
(* 1/24 (pow im 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 im im))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im im)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 im im))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im im)))))
(* -1/2 (pow im 2))
(.f64 im (.f64 im #s(literal -1/2 binary64)))
(* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))
(.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))
(.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))
(.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(* 1/24 (pow im 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(* 1/24 (pow im 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
-1/2
#s(literal -1/2 binary64)
(- (* 1/24 (pow im 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))
(- (* 1/24 (pow im 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))
(- (* 1/24 (pow im 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))
(* 1/24 (pow im 2))
(.f64 (.f64 im im) #s(literal 1/24 binary64))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(* 1/24 (pow im 2))
(.f64 (.f64 im im) #s(literal 1/24 binary64))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
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(*.f64 re #s(literal -1/12 binary64))
(* re (- (* 1/36 re) 1/12))
(.f64 re (+.f64 #s(literal -1/12 binary64) (.f64 re #s(literal 1/36 binary64))))
(* re (- (* 1/36 re) 1/12))
(.f64 re (+.f64 #s(literal -1/12 binary64) (.f64 re #s(literal 1/36 binary64))))
(* re (- (* 1/36 re) 1/12))
(.f64 re (+.f64 #s(literal -1/12 binary64) (.f64 re #s(literal 1/36 binary64))))
(* 1/36 (pow re 2))
(.f64 (.f64 re re) #s(literal 1/36 binary64))
(* (pow re 2) (- 1/36 (* 1/12 (/ 1 re))))
(.f64 (.f64 re re) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal -1/12 binary64) re)))
(* (pow re 2) (- 1/36 (* 1/12 (/ 1 re))))
(.f64 (.f64 re re) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal -1/12 binary64) re)))
(* (pow re 2) (- 1/36 (* 1/12 (/ 1 re))))
(.f64 (.f64 re re) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal -1/12 binary64) re)))
(* 1/36 (pow re 2))
(.f64 (.f64 re re) #s(literal 1/36 binary64))
(* (pow re 2) (- 1/36 (* 1/12 (/ 1 re))))
(.f64 (.f64 re re) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal -1/12 binary64) re)))
(* (pow re 2) (- 1/36 (* 1/12 (/ 1 re))))
(.f64 (.f64 re re) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal -1/12 binary64) re)))
(* (pow re 2) (- 1/36 (* 1/12 (/ 1 re))))
(.f64 (.f64 re re) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal -1/12 binary64) re)))

eval223.0ms (1%)

Compiler: Compiled 36234 to 2681 computations (92.6% saved)

prune196.0ms (0.9%)

Pruning

40 alts after pruning (30 fresh and 10 done)

	Pruned	Kept	Total
New	1299	12	1311
Fresh	10	18	28
Picked	2	3	5
Done	0	7	7
Total	1311	40	1351

Accuracy

100.0%

Counts

1351 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.5%	(-.f64 #s(literal 0 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))))
	25.7%	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal 1/24 binary64)))))
	28.2%	(+.f64 (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))))) #s(literal 1 binary64))
✓	27.8%	(+.f64 re #s(literal 1 binary64))
	29.9%	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (-.f64 re (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))
	32.4%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))
	26.2%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/13824 binary64)))) (.f64 im im)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 im (.f64 im #s(literal 1/24 binary64))) (-.f64 (.f64 im (*.f64 im #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))))
	18.6%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (.f64 (.f64 im im) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 im im)))))))))
✓	28.4%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))
	27.6%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64))))))
	27.0%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
	28.0%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal 1/46656 binary64)))) (/.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64))))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64)))))))))
	31.3%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 re re) #s(literal 1/216 binary64)) re)) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
	31.3%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal 1/36 binary64)))))))
	27.9%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re re)))) #s(literal 1/10077696 binary64))) (/.f64 re (+.f64 #s(literal 1/4 binary64) (.f64 re (.f64 #s(literal 1/6 binary64) (+.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 re (.f64 (.f64 re re) #s(literal 1/216 binary64))) (+.f64 (.f64 re (.f64 (*.f64 re re) #s(literal 1/216 binary64))) #s(literal -1/8 binary64))))))))
	39.5%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (/.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal -1/36 binary64)))))))
	39.5%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64)))) (.f64 re (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/36 binary64))))))))
	29.9%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))))
✓	36.5%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
	52.7%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (-.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) re)))) (+.f64 (.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 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 (.f64 re re) (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))))) (cos.f64 im))
✓	66.0%	(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im))
	54.4%	(.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re)))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im))
	29.1%	(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal -1/720 binary64)))))))))
	30.3%	(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))))
	28.2%	(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
✓	51.8%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
	37.7%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))))
	35.6%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal -1/720 binary64)))))))))
	37.2%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))))
	35.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
✓	62.5%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))
	23.3%	(.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) re)) (/.f64 #s(literal -1 binary64) (.f64 re re))) re)) (-.f64 #s(literal 0 binary64) (.f64 re (.f64 re re))))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	15.1%	(.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))))
	12.3%	(.f64 #s(literal 1/2 binary64) (.f64 re re))
	14.4%	(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
✓	71.0%	(exp.f64 re)
✓	51.1%	(cos.f64 im)
	3.6%	re
✓	27.3%	#s(literal 1 binary64)

Compiler

Compiled 2167 to 806 computations (62.8% saved)

regimes92.0ms (0.4%)

Counts

59 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 re re))
(.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal 1/24 binary64)))))
(-.f64 #s(literal 0 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))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64))))))))
(+.f64 (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (/.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (/.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal -1/36 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64))) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) re)) (/.f64 #s(literal -1 binary64) (.f64 re re))) re)) (-.f64 #s(literal 0 binary64) (.f64 re (.f64 re re))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal -1/720 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64)))) (.f64 re (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/36 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (.f64 (.f64 im im) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 im im)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal 1/36 binary64)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 re (.f64 re #s(literal 1/2 binary64))) (.f64 re (.f64 re #s(literal 1/2 binary64))))) (-.f64 re (.f64 re (.f64 re #s(literal 1/2 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal -1/720 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 re re) #s(literal 1/216 binary64)) re)) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/13824 binary64)))) (.f64 im im)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 im (.f64 im #s(literal 1/24 binary64))) (-.f64 (.f64 im (*.f64 im #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (-.f64 re (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))
(+.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal -1/2 binary64) (.f64 im (*.f64 im #s(literal 1/24 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal 1/46656 binary64)))) (/.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64))))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re re)))) #s(literal 1/10077696 binary64))) (/.f64 re (+.f64 #s(literal 1/4 binary64) (.f64 re (.f64 #s(literal 1/6 binary64) (+.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 re (.f64 (.f64 re re) #s(literal 1/216 binary64))) (+.f64 (.f64 re (.f64 (*.f64 re re) #s(literal 1/216 binary64))) #s(literal -1/8 binary64))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 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 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im))
(.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re)))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (cos.f64 im)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (-.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) re)))) (+.f64 (.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 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 (.f64 re re) (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))))) (cos.f64 im))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))

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

Calls

5 calls:

18.0ms	(cos.f64 im)
17.0ms	im
17.0ms	re
16.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
15.0ms	(exp.f64 re)

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)

regimes100.0ms (0.5%)

Counts

58 → 4

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 re re))
(.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal 1/24 binary64)))))
(-.f64 #s(literal 0 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))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64))))))))
(+.f64 (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (/.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (/.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal -1/36 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64))) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) re)) (/.f64 #s(literal -1 binary64) (.f64 re re))) re)) (-.f64 #s(literal 0 binary64) (.f64 re (.f64 re re))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal -1/720 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64)))) (.f64 re (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/36 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (.f64 (.f64 im im) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 im im)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal 1/36 binary64)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 re (.f64 re #s(literal 1/2 binary64))) (.f64 re (.f64 re #s(literal 1/2 binary64))))) (-.f64 re (.f64 re (.f64 re #s(literal 1/2 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal -1/720 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 re re) #s(literal 1/216 binary64)) re)) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/13824 binary64)))) (.f64 im im)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 im (.f64 im #s(literal 1/24 binary64))) (-.f64 (.f64 im (*.f64 im #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (-.f64 re (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))
(+.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal -1/2 binary64) (.f64 im (*.f64 im #s(literal 1/24 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal 1/46656 binary64)))) (/.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64))))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re re)))) #s(literal 1/10077696 binary64))) (/.f64 re (+.f64 #s(literal 1/4 binary64) (.f64 re (.f64 #s(literal 1/6 binary64) (+.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 re (.f64 (.f64 re re) #s(literal 1/216 binary64))) (+.f64 (.f64 re (.f64 (*.f64 re re) #s(literal 1/216 binary64))) #s(literal -1/8 binary64))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 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 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im))
(.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re)))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (cos.f64 im)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (-.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) re)))) (+.f64 (.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 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 (.f64 re re) (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))))) (cos.f64 im))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))) (cos.f64 im))

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

Calls

4 calls:

38.0ms	re
23.0ms	(cos.f64 im)
18.0ms	im
13.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
97.5%	4	`re`
81.5%	2	`im`
95.1%	3	`(exp.f64 re)`
81.9%	2	`(cos.f64 im)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes28.0ms (0.1%)

Counts

55 → 4

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 re re))
(.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal 1/24 binary64)))))
(-.f64 #s(literal 0 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))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64))))))))
(+.f64 (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (/.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (/.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal -1/36 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64))) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) re)) (/.f64 #s(literal -1 binary64) (.f64 re re))) re)) (-.f64 #s(literal 0 binary64) (.f64 re (.f64 re re))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal -1/720 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64)))) (.f64 re (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/36 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (.f64 (.f64 im im) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 im im)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal 1/36 binary64)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 re (.f64 re #s(literal 1/2 binary64))) (.f64 re (.f64 re #s(literal 1/2 binary64))))) (-.f64 re (.f64 re (.f64 re #s(literal 1/2 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal -1/720 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 re re) #s(literal 1/216 binary64)) re)) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/13824 binary64)))) (.f64 im im)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 im (.f64 im #s(literal 1/24 binary64))) (-.f64 (.f64 im (*.f64 im #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (-.f64 re (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))
(+.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal -1/2 binary64) (.f64 im (*.f64 im #s(literal 1/24 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal 1/46656 binary64)))) (/.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64))))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re re)))) #s(literal 1/10077696 binary64))) (/.f64 re (+.f64 #s(literal 1/4 binary64) (.f64 re (.f64 #s(literal 1/6 binary64) (+.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 re (.f64 (.f64 re re) #s(literal 1/216 binary64))) (+.f64 (.f64 re (.f64 (*.f64 re re) #s(literal 1/216 binary64))) #s(literal -1/8 binary64))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 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 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im))
(.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re)))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im))

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

Calls

1 calls:

20.0ms

re

Results

Accuracy	Segments	Branch
97.4%	4	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes25.0ms (0.1%)

Counts

53 → 4

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 re re))
(.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal 1/24 binary64)))))
(-.f64 #s(literal 0 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))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64))))))))
(+.f64 (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (/.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (/.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal -1/36 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64))) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) re)) (/.f64 #s(literal -1 binary64) (.f64 re re))) re)) (-.f64 #s(literal 0 binary64) (.f64 re (.f64 re re))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal -1/720 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64)))) (.f64 re (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/36 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (.f64 (.f64 im im) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 im im)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal 1/36 binary64)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 re (.f64 re #s(literal 1/2 binary64))) (.f64 re (.f64 re #s(literal 1/2 binary64))))) (-.f64 re (.f64 re (.f64 re #s(literal 1/2 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal -1/720 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 re re) #s(literal 1/216 binary64)) re)) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/13824 binary64)))) (.f64 im im)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 im (.f64 im #s(literal 1/24 binary64))) (-.f64 (.f64 im (*.f64 im #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (-.f64 re (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))
(+.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal -1/2 binary64) (.f64 im (*.f64 im #s(literal 1/24 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal 1/46656 binary64)))) (/.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64))))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re re)))) #s(literal 1/10077696 binary64))) (/.f64 re (+.f64 #s(literal 1/4 binary64) (.f64 re (.f64 #s(literal 1/6 binary64) (+.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 re (.f64 (.f64 re re) #s(literal 1/216 binary64))) (+.f64 (.f64 re (.f64 (*.f64 re re) #s(literal 1/216 binary64))) #s(literal -1/8 binary64))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 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 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im))

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

Calls

1 calls:

18.0ms

re

Results

Accuracy	Segments	Branch
97.4%	4	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes49.0ms (0.2%)

Counts

52 → 4

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 re re))
(.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal 1/24 binary64)))))
(-.f64 #s(literal 0 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))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64))))))))
(+.f64 (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (/.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (/.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal -1/36 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64))) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) re)) (/.f64 #s(literal -1 binary64) (.f64 re re))) re)) (-.f64 #s(literal 0 binary64) (.f64 re (.f64 re re))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal -1/720 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64)))) (.f64 re (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/36 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (.f64 (.f64 im im) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 im im)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal 1/36 binary64)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 re (.f64 re #s(literal 1/2 binary64))) (.f64 re (.f64 re #s(literal 1/2 binary64))))) (-.f64 re (.f64 re (.f64 re #s(literal 1/2 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal -1/720 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 re re) #s(literal 1/216 binary64)) re)) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/13824 binary64)))) (.f64 im im)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 im (.f64 im #s(literal 1/24 binary64))) (-.f64 (.f64 im (*.f64 im #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (-.f64 re (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))
(+.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal -1/2 binary64) (.f64 im (*.f64 im #s(literal 1/24 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal 1/46656 binary64)))) (/.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64))))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re re)))) #s(literal 1/10077696 binary64))) (/.f64 re (+.f64 #s(literal 1/4 binary64) (.f64 re (.f64 #s(literal 1/6 binary64) (+.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 re (.f64 (.f64 re re) #s(literal 1/216 binary64))) (+.f64 (.f64 re (.f64 (*.f64 re re) #s(literal 1/216 binary64))) #s(literal -1/8 binary64))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 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 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))

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

Calls

1 calls:

17.0ms

re

Results

Accuracy	Segments	Branch
96.9%	4	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes40.0ms (0.2%)

Counts

51 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 re re))
(.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal 1/24 binary64)))))
(-.f64 #s(literal 0 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))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64))))))))
(+.f64 (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (/.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (/.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal -1/36 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64))) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) re)) (/.f64 #s(literal -1 binary64) (.f64 re re))) re)) (-.f64 #s(literal 0 binary64) (.f64 re (.f64 re re))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal -1/720 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64)))) (.f64 re (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/36 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (.f64 (.f64 im im) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 im im)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal 1/36 binary64)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 re (.f64 re #s(literal 1/2 binary64))) (.f64 re (.f64 re #s(literal 1/2 binary64))))) (-.f64 re (.f64 re (.f64 re #s(literal 1/2 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal -1/720 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 re re) #s(literal 1/216 binary64)) re)) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/13824 binary64)))) (.f64 im im)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 im (.f64 im #s(literal 1/24 binary64))) (-.f64 (.f64 im (*.f64 im #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (-.f64 re (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))
(+.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal -1/2 binary64) (.f64 im (*.f64 im #s(literal 1/24 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal 1/46656 binary64)))) (/.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64))))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re re)))) #s(literal 1/10077696 binary64))) (/.f64 re (+.f64 #s(literal 1/4 binary64) (.f64 re (.f64 #s(literal 1/6 binary64) (+.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 re (.f64 (.f64 re re) #s(literal 1/216 binary64))) (+.f64 (.f64 re (.f64 (*.f64 re re) #s(literal 1/216 binary64))) #s(literal -1/8 binary64))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 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 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))

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

Calls

2 calls:

18.0ms	(exp.f64 re)
14.0ms	re

Results

Accuracy	Segments	Branch
94.8%	3	`(exp.f64 re)`
94.8%	3	`re`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes35.0ms (0.2%)

Counts

49 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 re re))
(.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal 1/24 binary64)))))
(-.f64 #s(literal 0 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))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64))))))))
(+.f64 (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (/.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (/.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal -1/36 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64))) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) re)) (/.f64 #s(literal -1 binary64) (.f64 re re))) re)) (-.f64 #s(literal 0 binary64) (.f64 re (.f64 re re))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal -1/720 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64)))) (.f64 re (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/36 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (.f64 (.f64 im im) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 im im)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal 1/36 binary64)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 re (.f64 re #s(literal 1/2 binary64))) (.f64 re (.f64 re #s(literal 1/2 binary64))))) (-.f64 re (.f64 re (.f64 re #s(literal 1/2 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal -1/720 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 re re) #s(literal 1/216 binary64)) re)) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/13824 binary64)))) (.f64 im im)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 im (.f64 im #s(literal 1/24 binary64))) (-.f64 (.f64 im (*.f64 im #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (-.f64 re (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))
(+.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal -1/2 binary64) (.f64 im (*.f64 im #s(literal 1/24 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal 1/46656 binary64)))) (/.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64))))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re re)))) #s(literal 1/10077696 binary64))) (/.f64 re (+.f64 #s(literal 1/4 binary64) (.f64 re (.f64 #s(literal 1/6 binary64) (+.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 re (.f64 (.f64 re re) #s(literal 1/216 binary64))) (+.f64 (.f64 re (.f64 (*.f64 re re) #s(literal 1/216 binary64))) #s(literal -1/8 binary64))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))
(cos.f64 im)
(exp.f64 re)

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

Calls

2 calls:

13.0ms	re
12.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
94.6%	3	`re`
94.6%	3	`(exp.f64 re)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes63.0ms (0.3%)

Counts

48 → 4

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 re re))
(.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal 1/24 binary64)))))
(-.f64 #s(literal 0 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))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64))))))))
(+.f64 (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (/.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (/.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal -1/36 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64))) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) re)) (/.f64 #s(literal -1 binary64) (.f64 re re))) re)) (-.f64 #s(literal 0 binary64) (.f64 re (.f64 re re))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal -1/720 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64)))) (.f64 re (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/36 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (.f64 (.f64 im im) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 im im)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal 1/36 binary64)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 re (.f64 re #s(literal 1/2 binary64))) (.f64 re (.f64 re #s(literal 1/2 binary64))))) (-.f64 re (.f64 re (.f64 re #s(literal 1/2 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal -1/720 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 re re) #s(literal 1/216 binary64)) re)) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/13824 binary64)))) (.f64 im im)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 im (.f64 im #s(literal 1/24 binary64))) (-.f64 (.f64 im (*.f64 im #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (-.f64 re (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))
(+.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal -1/2 binary64) (.f64 im (*.f64 im #s(literal 1/24 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal 1/46656 binary64)))) (/.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64))))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re re)))) #s(literal 1/10077696 binary64))) (/.f64 re (+.f64 #s(literal 1/4 binary64) (.f64 re (.f64 #s(literal 1/6 binary64) (+.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 re (.f64 (.f64 re re) #s(literal 1/216 binary64))) (+.f64 (.f64 re (.f64 (*.f64 re re) #s(literal 1/216 binary64))) #s(literal -1/8 binary64))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))
(cos.f64 im)

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

Calls

3 calls:

28.0ms	im
14.0ms	re
13.0ms	(cos.f64 im)

Results

Accuracy	Segments	Branch
60.0%	2	`im`
59.9%	2	`(cos.f64 im)`
74.7%	4	`re`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes55.0ms (0.2%)

Counts

47 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 re re))
(.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal 1/24 binary64)))))
(-.f64 #s(literal 0 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))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64))))))))
(+.f64 (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (/.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (/.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal -1/36 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64))) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) re)) (/.f64 #s(literal -1 binary64) (.f64 re re))) re)) (-.f64 #s(literal 0 binary64) (.f64 re (.f64 re re))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal -1/720 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64)))) (.f64 re (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/36 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (.f64 (.f64 im im) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 im im)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal 1/36 binary64)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 re (.f64 re #s(literal 1/2 binary64))) (.f64 re (.f64 re #s(literal 1/2 binary64))))) (-.f64 re (.f64 re (.f64 re #s(literal 1/2 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal -1/720 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 re re) #s(literal 1/216 binary64)) re)) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/13824 binary64)))) (.f64 im im)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 im (.f64 im #s(literal 1/24 binary64))) (-.f64 (.f64 im (*.f64 im #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (-.f64 re (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))
(+.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal -1/2 binary64) (.f64 im (*.f64 im #s(literal 1/24 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal 1/46656 binary64)))) (/.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64))))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re re)))) #s(literal 1/10077696 binary64))) (/.f64 re (+.f64 #s(literal 1/4 binary64) (.f64 re (.f64 #s(literal 1/6 binary64) (+.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 re (.f64 (.f64 re re) #s(literal 1/216 binary64))) (+.f64 (.f64 re (.f64 (*.f64 re re) #s(literal 1/216 binary64))) #s(literal -1/8 binary64))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))

Outputs

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

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

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

Calls

2 calls:

35.0ms	re
13.0ms	im

Results

Accuracy	Segments	Branch
39.5%	1	`im`
51.2%	3	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes18.0ms (0.1%)

Counts

42 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 re re))
(.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal 1/24 binary64)))))
(-.f64 #s(literal 0 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))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64))))))))
(+.f64 (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (/.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (/.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal -1/36 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64))) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) re)) (/.f64 #s(literal -1 binary64) (.f64 re re))) re)) (-.f64 #s(literal 0 binary64) (.f64 re (.f64 re re))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal -1/720 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64)))) (.f64 re (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/36 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (.f64 (.f64 im im) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 im im)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal 1/36 binary64)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 re (.f64 re #s(literal 1/2 binary64))) (.f64 re (.f64 re #s(literal 1/2 binary64))))) (-.f64 re (.f64 re (.f64 re #s(literal 1/2 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal -1/720 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 re re) #s(literal 1/216 binary64)) re)) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/13824 binary64)))) (.f64 im im)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 im (.f64 im #s(literal 1/24 binary64))) (-.f64 (.f64 im (*.f64 im #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))))

Outputs

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

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

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

Calls

1 calls:

13.0ms

re

Results

Accuracy	Segments	Branch
50.5%	3	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.1%)

Counts

40 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 re re))
(.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal 1/24 binary64)))))
(-.f64 #s(literal 0 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))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64))))))))
(+.f64 (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (/.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (/.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal -1/36 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64))) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) re)) (/.f64 #s(literal -1 binary64) (.f64 re re))) re)) (-.f64 #s(literal 0 binary64) (.f64 re (.f64 re re))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal -1/720 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64)))) (.f64 re (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/36 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (.f64 (.f64 im im) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 im im)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal 1/36 binary64)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 re (.f64 re #s(literal 1/2 binary64))) (.f64 re (.f64 re #s(literal 1/2 binary64))))) (-.f64 re (.f64 re (.f64 re #s(literal 1/2 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal -1/720 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 re re) #s(literal 1/216 binary64)) re)) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))))

Outputs

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

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

Calls

1 calls:

13.0ms

re

Results

Accuracy	Segments	Branch
48.0%	2	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Counts

15 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

5.0ms

re

Results

Accuracy	Segments	Branch
48.0%	3	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

re

Results

Accuracy	Segments	Branch
48.0%	3	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

10 → 3

Calls

Call 1

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

Outputs
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(+.f64 #s(literal 1 binary64) re)
(.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))))

Calls

1 calls:

4.0ms

re

Results

Accuracy	Segments	Branch
48.0%	3	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	re
3.0ms	im

Results

Accuracy	Segments	Branch
27.8%	1	`im`
39.6%	2	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts

5 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 re re))

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

Calls

1 calls:

4.0ms

re

Results

Accuracy	Segments	Branch
36.6%	2	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms

re

Results

Accuracy	Segments	Branch
27.8%	1	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -15.7b remaining (-33.7%)

Threshold costs -15.7b (-33.7%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
re

Outputs
#s(literal 1 binary64)

Calls

2 calls:

2.0ms	re
1.0ms	im

Results

Accuracy	Segments	Branch
27.3%	1	`im`
27.3%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch52.0ms (0.2%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
19.0ms	5.110025965551116e+102	4.917610005113905e+105
14.0ms	4.090299995897337e+47	6.173348101858121e+51
16.0ms	-8300.273482498505	-0.012729462860959485

Results

27.0ms

400×

valid

Compiler

Compiled 2056 to 753 computations (63.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-cos: 8.0ms (49% of total)

ival-mult: 4.0ms (24.5% of total)

ival-exp: 3.0ms (18.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch65.0ms (0.3%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
12.0ms	5.110025965551116e+102	4.917610005113905e+105
24.0ms	0.0029394413857513025	8341753713.157507
17.0ms	-8300.273482498505	-0.012729462860959485

Results

37.0ms

432×

valid

Compiler

Compiled 660 to 495 computations (25% saved)

Precisions

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

ival-cos: 10.0ms (39.9% of total)

ival-exp: 8.0ms (32% of total)

ival-mult: 7.0ms (28% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch52.0ms (0.2%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	5.110025965551116e+102	4.917610005113905e+105
18.0ms	0.0029394413857513025	8341753713.157507
17.0ms	-8300.273482498505	-0.012729462860959485

Results

33.0ms

432×

valid

Compiler

Compiled 660 to 495 computations (25% saved)

Precisions

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

ival-cos: 12.0ms (61.5% of total)

ival-exp: 4.0ms (20.5% of total)

ival-mult: 3.0ms (15.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch83.0ms (0.4%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
25.0ms	4.082995736247059e+146	2.536180598513592e+158
29.0ms	0.0029394413857513025	8341753713.157507
26.0ms	-8300.273482498505	-0.012729462860959485

Results

64.0ms

464×

valid

Compiler

Compiled 592 to 444 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-cos: 35.0ms (67.4% of total)

ival-exp: 13.0ms (25% of total)

ival-mult: 4.0ms (7.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch38.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.0029394413857513025	8341753713.157507
16.0ms	-8300.273482498505	-0.012729462860959485

Results

26.0ms

304×

valid

Compiler

Compiled 278 to 218 computations (21.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-cos: 8.0ms (45.2% of total)

ival-exp: 7.0ms (39.6% of total)

ival-mult: 2.0ms (11.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0000000431296856
0.0ms	0.9999999999828653	0.9999999999999883

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch40.0ms (0.2%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	5.110025965551116e+102	4.917610005113905e+105
12.0ms	7.173080028651271e-24	5.827678248497655e-22
12.0ms	-3881952580579825.0	-16551061827651.82

Results

25.0ms

352×

valid

Compiler

Compiled 862 to 426 computations (50.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-cos: 8.0ms (58.8% of total)

ival-exp: 3.0ms (22.1% of total)

ival-mult: 3.0ms (22.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch28.0ms (0.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	5.110025965551116e+102	4.917610005113905e+105
13.0ms	-3881952580579825.0	-16551061827651.82

Results

18.0ms

240×

valid

Compiler

Compiled 792 to 370 computations (53.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-cos: 8.0ms (71.3% of total)

ival-exp: 2.0ms (17.8% of total)

ival-mult: 2.0ms (17.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch34.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	3.408239631730465e+120	2.9049371764920303e+121
11.0ms	-3881952580579825.0	-16551061827651.82

Results

29.0ms

128×

valid

Compiler

Compiled 380 to 195 computations (48.7% saved)

Precisions

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

ival-mult: 22.0ms (87.1% of total)

ival-cos: 3.0ms (11.9% of total)

ival-exp: 1.0ms (4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-3881952580579825.0	-16551061827651.82

Results

7.0ms

112×

valid

Compiler

Compiled 208 to 142 computations (31.7% saved)

Precisions

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

ival-cos: 2.0ms (50.4% of total)

ival-exp: 1.0ms (25.2% of total)

ival-mult: 1.0ms (25.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch32.0ms (0.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.0029394413857513025	8341753713.157507
12.0ms	-3881952580579825.0	-16551061827651.82

Results

21.0ms

272×

valid

Compiler

Compiled 420 to 301 computations (28.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-cos: 6.0ms (46.9% of total)

ival-mult: 4.0ms (31.3% of total)

ival-exp: 2.0ms (15.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.0029394413857513025	8341753713.157507
11.0ms	-3881952580579825.0	-16551061827651.82

Results

18.0ms

272×

valid

Compiler

Compiled 318 to 233 computations (26.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-cos: 6.0ms (54.4% of total)

ival-exp: 2.0ms (18.1% of total)

ival-mult: 2.0ms (18.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.0029394413857513025	8341753713.157507
12.0ms	-3881952580579825.0	-16551061827651.82

Results

19.0ms

272×

valid

Compiler

Compiled 298 to 213 computations (28.5% saved)

Precisions

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

ival-cos: 6.0ms (58.7% of total)

ival-exp: 2.0ms (19.6% of total)

ival-mult: 2.0ms (19.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.0029394413857513025	8341753713.157507

Results

11.0ms

160×

valid

Compiler

Compiled 172 to 129 computations (25% saved)

Precisions

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

ival-cos: 3.0ms (46.8% of total)

ival-exp: 2.0ms (31.2% of total)

ival-mult: 1.0ms (15.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch21.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.0029394413857513025	8341753713.157507

Results

14.0ms

160×

valid

Compiler

Compiled 152 to 119 computations (21.7% saved)

Precisions

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

ival-cos: 7.0ms (70.5% of total)

ival-exp: 2.0ms (20.1% of total)

ival-mult: 1.0ms (10.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify25.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

70×	`*-commutative_binary64`
58×	`unsub-neg_binary64`
54×	`+-commutative_binary64`
52×	`neg-mul-1_binary64`
36×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	618
1	188	616
2	231	616
3	265	614
4	310	614
5	379	614
6	389	614
7	390	614

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 re #s(literal -7566047373982433/72057594037927936 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 4399999999999999837249374588699575806050811116519424 binary64)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (cos.f64 im)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64))))) (if (<=.f64 re #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (-.f64 re (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -1188950301625811/18014398509481984 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 7926335344172073/72057594037927936 binary64)) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im)) (if (<=.f64 re #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (exp.f64 re) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -1261007895663739/18014398509481984 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 1170935903116329/18014398509481984 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im)) (if (<=.f64 re #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (exp.f64 re) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -1188950301625811/18014398509481984 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 3314649325744685/288230376151711744 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (cos.f64 im)) (if (<=.f64 re #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (exp.f64 re) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -7493989779944505/576460752303423488 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 4150517416584649/1152921504606846976 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))
(if (<=.f64 (exp.f64 re) #s(literal 1125899906831365/1125899906842624 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 1 binary64)) (cos.f64 im) (exp.f64 re)))
(if (<=.f64 re #s(literal -17000000000000 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im))) (if (<=.f64 re #s(literal 3083808950221005/5316911983139663491615228241121378304 binary64)) (cos.f64 im) (if (<=.f64 re #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (-.f64 re (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(if (<=.f64 re #s(literal -17000000000000 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im))) (if (<=.f64 re #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (-.f64 re (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))
(if (<=.f64 re #s(literal -17000000000000 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im))) (if (<=.f64 re #s(literal 5000000000000000186704668735729944859696637877245910190513865205189002540335748550689306685710563207526199514671096004608 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(if (<=.f64 re #s(literal -17000000000000 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))
(if (<=.f64 re #s(literal -17000000000000 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im))) (if (<=.f64 re #s(literal 6530219459687219/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(if (<=.f64 re #s(literal -17000000000000 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im))) (if (<=.f64 re #s(literal 8376695306909123/4503599627370496 binary64)) (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(if (<=.f64 re #s(literal -17000000000000 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im))) (if (<=.f64 re #s(literal 6530219459687219/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))))))
(if (<=.f64 re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64)))))
(if (<=.f64 re #s(literal 3039929748475085/1125899906842624 binary64)) (+.f64 #s(literal 1 binary64) re) (.f64 #s(literal 1/2 binary64) (.f64 re re)))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)

Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 re #s(literal -7566047373982433/72057594037927936 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 4399999999999999837249374588699575806050811116519424 binary64)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (cos.f64 im)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64))))) (if (<=.f64 re #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (-.f64 re (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -7566047373982433/72057594037927936 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 4399999999999999837249374588699575806050811116519424 binary64)) (/.f64 (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (+.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) #s(literal -1 binary64))))) (if (<=.f64 re #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (-.f64 re (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))))))
(if (<=.f64 re #s(literal -1188950301625811/18014398509481984 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 7926335344172073/72057594037927936 binary64)) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im)) (if (<=.f64 re #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (exp.f64 re) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -1188950301625811/18014398509481984 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 7926335344172073/72057594037927936 binary64)) (.f64 (cos.f64 im) (+.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (+.f64 re #s(literal 1 binary64)))) (if (<=.f64 re #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))))))
(if (<=.f64 re #s(literal -1261007895663739/18014398509481984 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 1170935903116329/18014398509481984 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im)) (if (<=.f64 re #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (exp.f64 re) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -1261007895663739/18014398509481984 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 1170935903116329/18014398509481984 binary64)) (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) (if (<=.f64 re #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))))))
(if (<=.f64 re #s(literal -1188950301625811/18014398509481984 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 3314649325744685/288230376151711744 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (cos.f64 im)) (if (<=.f64 re #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (exp.f64 re) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -1188950301625811/18014398509481984 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 3314649325744685/288230376151711744 binary64)) (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))) (if (<=.f64 re #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))))))
(if (<=.f64 re #s(literal -7493989779944505/576460752303423488 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 4150517416584649/1152921504606846976 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))
(if (<=.f64 re #s(literal -7493989779944505/576460752303423488 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 4150517416584649/1152921504606846976 binary64)) (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) (exp.f64 re)))
(if (<=.f64 (exp.f64 re) #s(literal 1125899906831365/1125899906842624 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 1 binary64)) (cos.f64 im) (exp.f64 re)))
(if (<=.f64 re #s(literal -17000000000000 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im))) (if (<=.f64 re #s(literal 3083808950221005/5316911983139663491615228241121378304 binary64)) (cos.f64 im) (if (<=.f64 re #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (-.f64 re (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
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(if (<=.f64 re #s(literal -17000000000000 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im))) (if (<=.f64 re #s(literal 5000000000000000186704668735729944859696637877245910190513865205189002540335748550689306685710563207526199514671096004608 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(if (<=.f64 re #s(literal -17000000000000 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im))) (if (<=.f64 re #s(literal 5000000000000000186704668735729944859696637877245910190513865205189002540335748550689306685710563207526199514671096004608 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 re (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(if (<=.f64 re #s(literal -17000000000000 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))
(if (<=.f64 re #s(literal -17000000000000 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im))) (if (<=.f64 re #s(literal 6530219459687219/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
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(if (<=.f64 re #s(literal -17000000000000 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im))) (if (<=.f64 re #s(literal 8376695306909123/4503599627370496 binary64)) (+.f64 re #s(literal 1 binary64)) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(if (<=.f64 re #s(literal -17000000000000 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im))) (if (<=.f64 re #s(literal 6530219459687219/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))))))
(if (<=.f64 re #s(literal -17000000000000 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im))) (if (<=.f64 re #s(literal 6530219459687219/2251799813685248 binary64)) (+.f64 re #s(literal 1 binary64)) (.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64))))))
(if (<=.f64 re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64)))))
(if (<=.f64 re #s(literal 3 binary64)) (+.f64 re #s(literal 1 binary64)) (.f64 re (.f64 re (*.f64 re #s(literal 1/6 binary64)))))
(if (<=.f64 re #s(literal 3039929748475085/1125899906842624 binary64)) (+.f64 #s(literal 1 binary64) re) (.f64 #s(literal 1/2 binary64) (.f64 re re)))
(if (<=.f64 re #s(literal 3039929748475085/1125899906842624 binary64)) (+.f64 re #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 re re)))
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
#s(literal 1 binary64)

soundness1.8s (8.1%)

Rules

3594×	`+-lowering-+.f64`
3594×	`+-lowering-+.f32`
3510×	`-lowering-.f32`
3510×	`-lowering-.f64`
3144×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	64	277
1	186	250
2	587	247
3	1523	242
4	2063	242
5	2744	242
6	3594	242
7	4443	242
8	5873	242
0	8029	242
0	168	2409
1	550	2247
2	2189	2163
0	8558	2163
0	142	1375
1	505	1174
2	2101	1152
3	7551	1152
0	8292	1152
0	28	165
1	176	140
2	1735	140
0	8197	140
0	173	2003
1	582	1782
2	2282	1693
0	8168	1693

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
1×	iter limit
1×	node limit

Compiler

Compiled 1567 to 776 computations (50.5% saved)

preprocess146.0ms (0.7%)

Remove: (abs im)
Compiler: Compiled 1352 to 284 computations (79% saved)

Iter	Nodes	Cost
0	16	34
1	39	34
2	73	32
3	110	32
4	198	32
5	308	32
6	373	32
7	458	32
8	662	32
9	662	32
0	5	5
1	6	5
0	6	5

Iter	Nodes	Cost
0	16	34
1	39	34
2	73	32
3	110	32
4	198	32
5	308	32
6	373	32
7	458	32
8	662	32
9	662	32
0	5	5
1	6	5
0	6	5

analyze0.0ms (0%)

sample4.1s (18.6%)

preprocess19.0ms (0.1%)

explain74.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize26.0ms (0.1%)

series6.0ms (0%)

rewrite22.0ms (0.1%)

simplify200.0ms (0.9%)

eval6.0ms (0%)

prune6.0ms (0%)

simplify51.0ms (0.2%)

localize118.0ms (0.5%)

series14.0ms (0.1%)

rewrite11.2s (50.9%)

simplify182.0ms (0.8%)

eval100.0ms (0.5%)

prune75.0ms (0.3%)

simplify98.0ms (0.4%)

localize166.0ms (0.8%)

series14.0ms (0.1%)

rewrite411.0ms (1.9%)

simplify238.0ms (1.1%)

eval172.0ms (0.8%)

prune136.0ms (0.6%)

simplify194.0ms (0.9%)

localize252.0ms (1.1%)

series41.0ms (0.2%)

rewrite393.0ms (1.8%)

simplify225.0ms (1%)

eval223.0ms (1%)

prune196.0ms (0.9%)

regimes92.0ms (0.4%)

regimes100.0ms (0.5%)

regimes28.0ms (0.1%)

regimes25.0ms (0.1%)

regimes49.0ms (0.2%)

regimes40.0ms (0.2%)

regimes35.0ms (0.2%)

regimes63.0ms (0.3%)

regimes55.0ms (0.2%)

regimes18.0ms (0.1%)

regimes15.0ms (0.1%)

regimes6.0ms (0%)

regimes10.0ms (0%)

regimes4.0ms (0%)

regimes7.0ms (0%)

regimes4.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch52.0ms (0.2%)

bsearch65.0ms (0.3%)

bsearch52.0ms (0.2%)

bsearch83.0ms (0.4%)

bsearch38.0ms (0.2%)

bsearch1.0ms (0%)

bsearch40.0ms (0.2%)

bsearch28.0ms (0.1%)

bsearch34.0ms (0.2%)

bsearch12.0ms (0.1%)

bsearch32.0ms (0.1%)

bsearch30.0ms (0.1%)

bsearch30.0ms (0.1%)

bsearch17.0ms (0.1%)

bsearch21.0ms (0.1%)

simplify25.0ms (0.1%)

soundness1.8s (8.1%)

preprocess146.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	34
1	39	34
2	73	32
3	110	32
4	198	32
5	308	32
6	373	32
7	458	32
8	662	32
9	662	32
0	5	5
1	6	5
0	6	5