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)

sample797.0ms (5.4%)

Results

626.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 367.0ms

ival-cos: 228.0ms (62.1% of total)

ival-exp: 66.0ms (18% of total)

ival-mult: 62.0ms (16.9% of total)

const: 8.0ms (2.2% of total)

backward-pass: 3.0ms (0.8% of total)

Bogosity

preprocess27.0ms (0.2%)

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)

explain76.0ms (0.5%)

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

60.0ms

512×

valid

Compiler

Compiled 35 to 17 computations (51.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-cos: 17.0ms (58.2% of total)

ival-mult: 7.0ms (24% of total)

ival-exp: 4.0ms (13.7% 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

localize31.0ms (0.2%)

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

23.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-cos: 5.0ms (53.3% of total)

ival-exp: 2.0ms (21.3% of total)

ival-mult: 2.0ms (21.3% of total)

const: 0.0ms (0% of total)

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

series4.0ms (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
2.0ms	re	@	inf	(* (exp re) (cos im))
0.0ms	im	@	0	(* (exp re) (cos im))
0.0ms	re	@	-inf	(* (exp re) (cos im))
0.0ms	im	@	inf	(* (exp re) (cos im))
0.0ms	re	@	0	(* (exp re) (cos im))

rewrite22.0ms (0.2%)

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)

simplify225.0ms (1.5%)

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	238
2	588	236
3	1525	230
4	2065	230
5	2744	230
6	3592	230
7	4440	230
8	5870	230
0	8026	230

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

eval5.0ms (0%)

Compiler: Compiled 358 to 49 computations (86.3% 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
▶	56.9%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
▶	72.0%	(.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))
	67.6%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))
▶	68.8%	(.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	67.9%	(exp.f64 re)
▶	56.3%	(cos.f64 im)

Compiler

Compiled 127 to 93 computations (26.8% saved)

simplify4.1s (27.9%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

1848×	`fma-define`
1432×	`fma-lowering-fma.f32`
1432×	`fma-lowering-fma.f64`
620×	`-lowering-.f32`
620×	`-lowering-.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	122
1	56	105
2	155	104
3	397	104
4	771	104
5	1565	104
6	2361	104
7	2398	104
0	2398	104

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

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

localize127.0ms (0.9%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 im (.f64 im #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 im #s(literal -1/2 binary64))
✓	accuracy	100.0%	(exp.f64 re)
✓	accuracy	96.2%	(.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))))
✓	accuracy	100.0%	(+.f64 re #s(literal 1 binary64))
✓	accuracy	100.0%	(cos.f64 im)
✓	accuracy	99.9%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
✓	accuracy	100.0%	(exp.f64 re)
✓	accuracy	100.0%	(cos.f64 im)
✓	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

92.0ms

256×

valid

Compiler

Compiled 125 to 22 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 13.0ms (40% of total)

ival-add: 6.0ms (18.5% of total)

ival-cos: 6.0ms (18.5% of total)

...c/correct-round.rkt:119:19: 4.0ms (12.3% of total)

ival-exp: 2.0ms (6.2% of total)

const: 1.0ms (3.1% of total)

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

series16.0ms (0.1%)

Counts

14 → 204

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

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

Calls

51 calls:

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

rewrite366.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4038×	`-lowering-.f32`
4038×	`-lowering-.f64`
3246×	`/-lowering-/.f32`
3246×	`/-lowering-/.f64`
2200×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	97
1	112	81
2	1049	80
0	8371	80

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 412

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))))
(cos im)
(exp re)
(* (+ re 1) (cos im))
(+ re 1)
(* (exp re) (+ 1 (* im (* im -1/2))))
(+ 1 (* im (* im -1/2)))
(* im (* im -1/2))
(* re 1/6)
(* re (+ 1/2 (* re 1/6)))
(* im -1/2)

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

simplify280.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

5848×	`+-lowering-+.f64`
5848×	`+-lowering-+.f32`
3702×	`-lowering-.f32`
3702×	`-lowering-.f64`
1456×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	195	1768
1	690	1475
2	2933	1412
0	9111	1412

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

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 (* -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)
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)
(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))
(* 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))))
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)

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

eval103.0ms (0.7%)

Compiler: Compiled 17123 to 1730 computations (89.9% saved)

prune76.0ms (0.5%)

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	650	13	663
Fresh	0	1	1
Picked	2	3	5
Done	0	1	1
Total	652	18	670

Accuracy

100.0%

Counts

670 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.9%	(/.f64 (cos.f64 im) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)))
	33.3%	(+.f64 re #s(literal 1 binary64))
	36.3%	(+.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))))))))
▶	32.2%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))
	42.8%	(+.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)))))))
▶	39.9%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
	33.3%	(+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))
▶	72.0%	(.f64 (+.f64 re (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) #s(literal 1 binary64))) (cos.f64 im))
	38.5%	(.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)))))))))
	36.6%	(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))))
✓	56.9%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
▶	46.8%	(.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 im (.f64 im #s(literal -1/2 binary64)))))
	44.3%	(.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 #s(literal -1/2 binary64)))))
	67.6%	(.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))
✓	67.9%	(exp.f64 re)
✓	56.3%	(cos.f64 im)
▶	33.1%	#s(literal 1 binary64)

Compiler

Compiled 425 to 301 computations (29.2% saved)

simplify274.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

4044×	`sum3-define`
2552×	`+-lowering-+.f64`
2552×	`+-lowering-+.f32`
2204×	`-lowering-.f32`
2204×	`-lowering-.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	211
1	96	186
2	295	184
3	1125	184
4	5278	184
5	5732	184
6	5899	184
7	5927	184
8	5933	184
9	5934	184
0	8456	184

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize182.0ms (1.2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	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))))))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 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 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))
✓	accuracy	99.9%	(.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	99.4%	(*.f64 im #s(literal 1/24 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 re (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (*.f64 re re)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(.f64 (+.f64 re (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) #s(literal 1 binary64))) (cos.f64 im))
✓	accuracy	100.0%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (*.f64 re re))
✓	accuracy	99.5%	(*.f64 re #s(literal 1/6 binary64))

Results

131.0ms

256×

valid

Compiler

Compiled 234 to 34 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 27.0ms (47% of total)

ival-add: 13.0ms (22.6% of total)

...c/correct-round.rkt:119:19: 10.0ms (17.4% of total)

ival-cos: 7.0ms (12.2% of total)

const: 1.0ms (1.7% of total)

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

series15.0ms (0.1%)

Counts

20 → 264

Calls

Call 1

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

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

Calls

66 calls:

Time	Variable		Point	Expression
3.0ms	im	@	inf	(+ 1 (* (* im im) (+ -1/2 (* im (* im 1/24)))))
1.0ms	im	@	inf	(* (+ re (+ (* (+ 1/2 (* re 1/6)) (* re re)) 1)) (cos im))
0.0ms	im	@	0	(* (+ re (+ (* (+ 1/2 (* re 1/6)) (* re re)) 1)) (cos im))
0.0ms	im	@	-inf	(* im 1/24)
0.0ms	im	@	inf	(* (* im im) (+ -1/2 (* im (* im 1/24))))

rewrite533.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2904×	`fma-lowering-fma.f32`
2904×	`fma-lowering-fma.f64`
2832×	`-lowering-.f32`
2832×	`-lowering-.f64`
2040×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	162
1	210	140
2	2150	138
0	8625	138

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 795

Calls

Call 1

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

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

simplify258.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

4774×	`-lowering-.f32`
4774×	`-lowering-.f64`
2220×	`+-lowering-+.f64`
2220×	`+-lowering-+.f32`
1982×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	239	2691
1	870	2149
2	3987	2051
0	8455	2051

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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

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

eval214.0ms (1.5%)

Compiler: Compiled 53724 to 2699 computations (95% saved)

prune181.0ms (1.2%)

Pruning

28 alts after pruning (21 fresh and 7 done)

	Pruned	Kept	Total
New	1058	15	1073
Fresh	3	6	9
Picked	2	3	5
Done	0	4	4
Total	1063	28	1091

Accuracy

100.0%

Counts

1091 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.9%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))) (.f64 re (.f64 (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))
	32.2%	(/.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 (+.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 im (.f64 im #s(literal -1/2 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)))))
	56.9%	(/.f64 (cos.f64 im) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)))
▶	33.3%	(+.f64 re #s(literal 1 binary64))
	37.4%	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) (-.f64 re (.f64 #s(literal 1/2 binary64) (.f64 re re)))))
	36.3%	(+.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))))))))
✓	32.2%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))
	33.3%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
	42.8%	(+.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)))))))
	35.0%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.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 #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 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))))
✓	72.0%	(.f64 (+.f64 re (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) #s(literal 1 binary64))) (cos.f64 im))
▶	67.6%	(.f64 (+.f64 re (+.f64 (.f64 re (*.f64 re #s(literal 1/2 binary64))) #s(literal 1 binary64))) (cos.f64 im))
	38.5%	(.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)))))))))
▶	36.6%	(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))))
✓	56.9%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
▶	46.8%	(.f64 (+.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 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))))
	11.2%	(.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 im)))
▶	18.8%	(.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 #s(literal -1/2 binary64)))))
	18.9%	(.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))))
	18.6%	(.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 im im) #s(literal -1/12 binary64))))
	18.6%	(.f64 (.f64 re (.f64 re re)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	10.0%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
	9.9%	(.f64 re (.f64 re #s(literal 1/2 binary64)))
	13.4%	(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
✓	67.9%	(exp.f64 re)
✓	56.3%	(cos.f64 im)
✓	33.1%	#s(literal 1 binary64)

Compiler

Compiled 997 to 560 computations (43.8% saved)

simplify230.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

3592×	`-lowering-.f32`
3592×	`-lowering-.f64`
1800×	`+-lowering-+.f64`
1800×	`+-lowering-+.f32`
1432×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	298
1	115	266
2	393	250
3	1724	250
4	4987	250
5	5637	250
6	7485	250
0	8049	250

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize291.0ms (2%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	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	90.6%	(/.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	99.9%	(.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	93.4%	(.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 #s(literal -1/2 binary64)))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))
✓	accuracy	100.0%	(.f64 im (.f64 im #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 im #s(literal -1/2 binary64))
✓	accuracy	100.0%	(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))))
✓	accuracy	100.0%	(+.f64 re #s(literal 1 binary64))
✓	accuracy	100.0%	(.f64 re (.f64 re #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 re #s(literal 1/2 binary64))
✓	accuracy	100.0%	(cos.f64 im)
✓	accuracy	99.9%	(.f64 (+.f64 re (+.f64 (.f64 re (*.f64 re #s(literal 1/2 binary64))) #s(literal 1 binary64))) (cos.f64 im))

Results

228.0ms	255×	0	valid
3.0ms	1×	5	exit

Compiler

Compiled 314 to 36 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

...c/correct-round.rkt:119:19: 38.0ms (37.3% of total)

ival-mult: 29.0ms (28.5% of total)

ival-add: 22.0ms (21.6% of total)

ival-cos: 6.0ms (5.9% of total)

ival-sub: 4.0ms (3.9% of total)

ival-div: 2.0ms (2% of total)

const: 1.0ms (1% of total)

backward-pass: 1.0ms (1% of total)

series17.0ms (0.1%)

Counts

22 → 312

Calls

Call 1

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

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

Calls

78 calls:

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

rewrite494.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4482×	`-lowering-.f32`
4482×	`-lowering-.f64`
2840×	`fma-lowering-fma.f32`
2840×	`fma-lowering-fma.f64`
2708×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	191
1	226	147
2	2423	144
0	9574	144

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 801

Calls

Call 1

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

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

simplify281.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

4592×	`-lowering-.f32`
4592×	`-lowering-.f64`
2190×	`+-lowering-+.f64`
2190×	`+-lowering-+.f32`
1984×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	232	3590
1	853	2802
2	3753	2601
0	8519	2601

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

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

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

eval216.0ms (1.5%)

Compiler: Compiled 49633 to 2757 computations (94.4% saved)

prune198.0ms (1.3%)

Pruning

35 alts after pruning (26 fresh and 9 done)

	Pruned	Kept	Total
New	1287	17	1304
Fresh	7	9	16
Picked	3	2	5
Done	0	7	7
Total	1297	35	1332

Accuracy

100.0%

Counts

1332 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.4%	(/.f64 (-.f64 (.f64 (.f64 re re) (.f64 (+.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 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (.f64 (.f64 re (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 im (.f64 im #s(literal -1/2 binary64))))) (.f64 re (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 im (.f64 im #s(literal -1/2 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 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 im (*.f64 im #s(literal -1/2 binary64)))))))
	32.2%	(/.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 re) (.f64 (+.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 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 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)))))
	56.9%	(/.f64 (cos.f64 im) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)))
✓	33.3%	(+.f64 re #s(literal 1 binary64))
	37.4%	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) (-.f64 re (.f64 #s(literal 1/2 binary64) (.f64 re re)))))
	36.3%	(+.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))))))))
✓	32.2%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))
	33.3%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
	42.8%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.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)))))))
	6.8%	(.f64 (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)))) (-.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))))
✓	72.0%	(.f64 (+.f64 re (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) #s(literal 1 binary64))) (cos.f64 im))
✓	67.6%	(.f64 (+.f64 re (+.f64 (.f64 re (*.f64 re #s(literal 1/2 binary64))) #s(literal 1 binary64))) (cos.f64 im))
	35.0%	(.f64 (+.f64 re #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (*.f64 im im)))))))
	38.5%	(.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)))))))))
	35.0%	(.f64 (+.f64 re #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))))))
	32.1%	(.f64 (+.f64 re #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (-.f64 (.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)))))))
✓	56.9%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
	18.9%	(.f64 (.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))))
	9.5%	(.f64 (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64))) (/.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 im (.f64 im #s(literal -1/2 binary64)))))
	18.8%	(.f64 (.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 im (*.f64 im #s(literal -1/2 binary64)))))
	18.6%	(.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 im im) #s(literal -1/12 binary64))))
	18.6%	(.f64 (.f64 re (.f64 re re)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))))
	27.2%	(.f64 (.f64 im im) (+.f64 (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (/.f64 re (*.f64 im im)))))
	15.7%	(.f64 (.f64 im im) (.f64 (+.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 -1/2 binary64)) (/.f64 re (*.f64 im im)))))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	12.9%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
	8.6%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))))
	9.9%	(.f64 re (.f64 re #s(literal 1/2 binary64)))
	11.6%	(.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal -1/2 binary64)))))
	13.4%	(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
	10.2%	(.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))))
✓	67.9%	(exp.f64 re)
✓	56.3%	(cos.f64 im)
	3.4%	re
✓	33.1%	#s(literal 1 binary64)

Compiler

Compiled 1802 to 613 computations (66% saved)

regimes92.0ms (0.6%)

Counts

52 → 1

Calls

Call 1

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

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

Calls

5 calls:

19.0ms	(exp.f64 re)
17.0ms	re
17.0ms	im
16.0ms	(cos.f64 im)
15.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

Results

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes73.0ms (0.5%)

Counts

51 → 3

Calls

Call 1

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

Outputs

(exp.f64 re)

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

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

Calls

4 calls:

24.0ms	(cos.f64 im)
15.0ms	im
14.0ms	re
12.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
98.2%	3	`re`
88.4%	2	`im`
98.2%	3	`(exp.f64 re)`
87.9%	2	`(cos.f64 im)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes35.0ms (0.2%)

Counts

50 → 3

Calls

Call 1

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

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))

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

Calls

2 calls:

15.0ms	re
12.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
98.2%	3	`re`
98.2%	3	`(exp.f64 re)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes55.0ms (0.4%)

Counts

49 → 3

Calls

Call 1

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

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

Calls

2 calls:

36.0ms	re
12.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
98.2%	3	`re`
98.2%	3	`(exp.f64 re)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes33.0ms (0.2%)

Counts

47 → 3

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	re
10.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
98.1%	3	`re`
98.1%	3	`(exp.f64 re)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes52.0ms (0.4%)

Counts

46 → 4

Calls

Call 1

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

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

Calls

2 calls:

29.0ms	(exp.f64 re)
13.0ms	re

Results

Accuracy	Segments	Branch
97.0%	4	`re`
94.1%	3	`(exp.f64 re)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes20.0ms (0.1%)

Counts

44 → 4

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

re

Results

Accuracy	Segments	Branch
96.8%	4	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes47.0ms (0.3%)

Counts

43 → 4

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	im
12.0ms	re
11.0ms	(cos.f64 im)

Results

Accuracy	Segments	Branch
64.6%	2	`(cos.f64 im)`
64.8%	2	`im`
84.5%	4	`re`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes30.0ms (0.2%)

Counts

42 → 4

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(.f64 re (.f64 re #s(literal 1/2 binary64)))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))
(+.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 im (.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal -1/2 binary64)))))
(.f64 re (+.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 #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 im (*.f64 im #s(literal -1/2 binary64)))))
(.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 im im) #s(literal -1/12 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 -1/2 binary64) (.f64 im (.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 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))))
(.f64 (.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #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 im (*.f64 im #s(literal -1/2 binary64)))))
(.f64 (.f64 re (.f64 re re)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))))
(.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 #s(literal -1/2 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 -1/2 binary64) (.f64 im im)))
(+.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 im im) (+.f64 (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (/.f64 re (*.f64 im 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 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.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)))))))
(.f64 (.f64 im im) (.f64 (+.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 -1/2 binary64)) (/.f64 re (*.f64 im im)))))
(.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 (+.f64 re #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))))))
(.f64 (+.f64 re #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (*.f64 im im)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) (-.f64 re (.f64 #s(literal 1/2 binary64) (.f64 re re)))))
(.f64 (.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 im (*.f64 im #s(literal -1/2 binary64)))))
(.f64 (+.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 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))))
(.f64 (+.f64 re #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (-.f64 (.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)))))))
(.f64 (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64))) (/.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 im (.f64 im #s(literal -1/2 binary64)))))
(.f64 (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)))) (-.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))) (.f64 re (.f64 (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))) (-.f64 (.f64 re (+.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 (.f64 re (.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 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 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 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 (+.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 im (.f64 im #s(literal -1/2 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 (+.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 re) (.f64 (+.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 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 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 (.f64 (.f64 re re) (.f64 (+.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 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (.f64 (.f64 re (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 im (.f64 im #s(literal -1/2 binary64))))) (.f64 re (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 im (.f64 im #s(literal -1/2 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 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 im (*.f64 im #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 #s(literal 1/2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.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 #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 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(.f64 (.f64 re (.f64 re re)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))))

Calls

2 calls:

12.0ms	re
12.0ms	im

Results

Accuracy	Segments	Branch
46.8%	1	`im`
61.6%	4	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes16.0ms (0.1%)

Counts

38 → 4

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(.f64 re (.f64 re #s(literal 1/2 binary64)))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))
(+.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 im (.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal -1/2 binary64)))))
(.f64 re (+.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 #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 im (*.f64 im #s(literal -1/2 binary64)))))
(.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 im im) #s(literal -1/12 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 -1/2 binary64) (.f64 im (.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 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))))
(.f64 (.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #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 im (*.f64 im #s(literal -1/2 binary64)))))
(.f64 (.f64 re (.f64 re re)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))))
(.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 #s(literal -1/2 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 -1/2 binary64) (.f64 im im)))
(+.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 im im) (+.f64 (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (/.f64 re (*.f64 im 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 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.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)))))))
(.f64 (.f64 im im) (.f64 (+.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 -1/2 binary64)) (/.f64 re (*.f64 im im)))))
(.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 (+.f64 re #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))))))
(.f64 (+.f64 re #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (*.f64 im im)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) (-.f64 re (.f64 #s(literal 1/2 binary64) (.f64 re re)))))
(.f64 (.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 im (*.f64 im #s(literal -1/2 binary64)))))
(.f64 (+.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 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))))
(.f64 (+.f64 re #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (-.f64 (.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)))))))
(.f64 (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64))) (/.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 im (.f64 im #s(literal -1/2 binary64)))))
(.f64 (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)))) (-.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))) (.f64 re (.f64 (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 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 #s(literal 1/2 binary64) (.f64 re re)) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) (-.f64 re (.f64 #s(literal 1/2 binary64) (.f64 re re)))))
(.f64 (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)))) (-.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))))
(.f64 (.f64 re (.f64 re re)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))))

Calls

1 calls:

11.0ms

re

Results

Accuracy	Segments	Branch
61.5%	4	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes42.0ms (0.3%)

Counts

36 → 4

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(.f64 re (.f64 re #s(literal 1/2 binary64)))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))
(+.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 im (.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal -1/2 binary64)))))
(.f64 re (+.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 #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 im (*.f64 im #s(literal -1/2 binary64)))))
(.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 im im) #s(literal -1/12 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 -1/2 binary64) (.f64 im (.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 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))))
(.f64 (.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #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 im (*.f64 im #s(literal -1/2 binary64)))))
(.f64 (.f64 re (.f64 re re)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))))
(.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 #s(literal -1/2 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 -1/2 binary64) (.f64 im im)))
(+.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 im im) (+.f64 (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (/.f64 re (*.f64 im 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 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.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)))))))
(.f64 (.f64 im im) (.f64 (+.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 -1/2 binary64)) (/.f64 re (*.f64 im im)))))
(.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 (+.f64 re #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))))))
(.f64 (+.f64 re #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (*.f64 im im)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) (-.f64 re (.f64 #s(literal 1/2 binary64) (.f64 re re)))))
(.f64 (.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 im (*.f64 im #s(literal -1/2 binary64)))))
(.f64 (+.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 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))))
(.f64 (+.f64 re #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (-.f64 (.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)))))))
(.f64 (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64))) (/.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 im (.f64 im #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 re re) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) (-.f64 re (.f64 #s(literal 1/2 binary64) (.f64 re re)))))
(.f64 (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64))) (/.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 im (.f64 im #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 im (*.f64 im #s(literal -1/2 binary64)))))

Calls

1 calls:

29.0ms

re

Results

Accuracy	Segments	Branch
60.4%	4	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.1%)

Counts

35 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(.f64 re (.f64 re #s(literal 1/2 binary64)))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))
(+.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 im (.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal -1/2 binary64)))))
(.f64 re (+.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 #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 im (*.f64 im #s(literal -1/2 binary64)))))
(.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 im im) #s(literal -1/12 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 -1/2 binary64) (.f64 im (.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 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))))
(.f64 (.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #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 im (*.f64 im #s(literal -1/2 binary64)))))
(.f64 (.f64 re (.f64 re re)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))))
(.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 #s(literal -1/2 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 -1/2 binary64) (.f64 im im)))
(+.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 im im) (+.f64 (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (/.f64 re (*.f64 im 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 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.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)))))))
(.f64 (.f64 im im) (.f64 (+.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 -1/2 binary64)) (/.f64 re (*.f64 im im)))))
(.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 (+.f64 re #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))))))
(.f64 (+.f64 re #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (*.f64 im im)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) (-.f64 re (.f64 #s(literal 1/2 binary64) (.f64 re re)))))
(.f64 (.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 im (*.f64 im #s(literal -1/2 binary64)))))
(.f64 (+.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 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))))
(.f64 (+.f64 re #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (-.f64 (.f64 im (*.f64 im #s(literal -1/2 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 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))) (-.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))))

(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 im im) #s(literal -1/12 binary64))))

Calls

1 calls:

10.0ms

re

Results

Accuracy	Segments	Branch
58.8%	3	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts

31 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(.f64 re (.f64 re #s(literal 1/2 binary64)))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))
(+.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 im (.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal -1/2 binary64)))))
(.f64 re (+.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 #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 im (*.f64 im #s(literal -1/2 binary64)))))
(.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 im im) #s(literal -1/12 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 -1/2 binary64) (.f64 im (.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 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))))
(.f64 (.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #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 im (*.f64 im #s(literal -1/2 binary64)))))
(.f64 (.f64 re (.f64 re re)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))))
(.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 #s(literal -1/2 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 -1/2 binary64) (.f64 im im)))
(+.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 im im) (+.f64 (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (/.f64 re (*.f64 im 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 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.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)))))))
(.f64 (.f64 im im) (.f64 (+.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 -1/2 binary64)) (/.f64 re (*.f64 im im)))))
(.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 (+.f64 re #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))))))
(.f64 (+.f64 re #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 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) (*.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 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))

Calls

1 calls:

10.0ms

re

Results

Accuracy	Segments	Branch
58.7%	3	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

25 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(.f64 re (.f64 re #s(literal 1/2 binary64)))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))
(+.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 im (.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal -1/2 binary64)))))
(.f64 re (+.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 #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 im (*.f64 im #s(literal -1/2 binary64)))))
(.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 im im) #s(literal -1/12 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 -1/2 binary64) (.f64 im (.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 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))))
(.f64 (.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #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 im (*.f64 im #s(literal -1/2 binary64)))))
(.f64 (.f64 re (.f64 re re)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))))
(.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 #s(literal -1/2 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 -1/2 binary64) (.f64 im im)))
(+.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 im im) (+.f64 (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (/.f64 re (*.f64 im im)))))

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

Calls

1 calls:

7.0ms

re

Results

Accuracy	Segments	Branch
58.6%	3	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

21 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(.f64 re (.f64 re #s(literal 1/2 binary64)))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))
(+.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 im (.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal -1/2 binary64)))))
(.f64 re (+.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 #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 im (*.f64 im #s(literal -1/2 binary64)))))
(.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 im im) #s(literal -1/12 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 -1/2 binary64) (.f64 im (.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 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))))
(.f64 (.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #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 im (*.f64 im #s(literal -1/2 binary64)))))
(.f64 (.f64 re (.f64 re re)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))))

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 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 im im) #s(literal -1/12 binary64))))

Calls

1 calls:

6.0ms

re

Results

Accuracy	Segments	Branch
58.6%	3	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Counts

13 → 4

Calls

Call 1

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

Calls

1 calls:

4.0ms

re

Results

Accuracy	Segments	Branch
54.0%	4	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0%)

Counts

12 → 4

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

re

Results

Accuracy	Segments	Branch
53.9%	4	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Counts

11 → 2

Calls

Call 1

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

Calls

1 calls:

4.0ms

re

Results

Accuracy	Segments	Branch
49.4%	2	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

10 → 4

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

re

Results

Accuracy	Segments	Branch
52.1%	4	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

9 → 4

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

re

Results

Accuracy	Segments	Branch
51.9%	4	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

8 → 3

Calls

Call 1

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

Calls

2 calls:

4.0ms	re
3.0ms	im

Results

Accuracy	Segments	Branch
33.3%	1	`im`
49.3%	3	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

re

Results

Accuracy	Segments	Branch
41.7%	3	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

re

Results

Accuracy	Segments	Branch
40.1%	2	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	im
2.0ms	re

Results

Accuracy	Segments	Branch
33.3%	1	`im`
33.3%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -19.5b remaining (-45.5%)

Threshold costs -19.5b (-45.5%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
re

Outputs
#s(literal 1 binary64)

Calls

2 calls:

1.0ms	im
1.0ms	re

Results

Accuracy	Segments	Branch
33.1%	1	`re`
33.1%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.000000000000319
0.0ms	5.6596523347025646e-126	0.7031215973351298

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.000000000000319
0.0ms	5.6596523347025646e-126	0.7031215973351298

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.000000000000319
0.0ms	5.6596523347025646e-126	0.7031215973351298

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.000000000000319
0.0ms	5.6596523347025646e-126	0.7031215973351298

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch60.0ms (0.4%)

Algorithm

3×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	5.94000637775813e+95	1.481058531899655e+109
21.0ms	3.1899796386971213e-13	5.663138228822309e+22
26.0ms	-288.39235925188547	-0.35222543294665487

Results

30.0ms

384×

valid

Compiler

Compiled 1069 to 558 computations (47.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-cos: 8.0ms (52.8% of total)

ival-exp: 4.0ms (26.4% of total)

ival-mult: 3.0ms (19.8% of total)

const: 0.0ms (0% of total)

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

bsearch44.0ms (0.3%)

Algorithm

3×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	5.94000637775813e+95	1.481058531899655e+109
17.0ms	1.6220053225781927e-35	5.819870387258536e-21
15.0ms	-288.39235925188547	-0.35222543294665487

Results

28.0ms

368×

valid

Compiler

Compiled 1062 to 538 computations (49.3% saved)

Precisions

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

ival-cos: 8.0ms (55.4% of total)

ival-exp: 3.0ms (20.8% of total)

ival-mult: 3.0ms (20.8% of total)

const: 0.0ms (0% of total)

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

bsearch50.0ms (0.3%)

Algorithm

3×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	5.94000637775813e+95	1.481058531899655e+109
20.0ms	1.6220053225781927e-35	5.819870387258536e-21
19.0ms	-240562851753696.47	-100284.57160570839

Results

34.0ms

384×

valid

Compiler

Compiled 1135 to 573 computations (49.5% saved)

Precisions

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

ival-cos: 8.0ms (44.8% of total)

ival-mult: 6.0ms (33.6% of total)

ival-exp: 3.0ms (16.8% of total)

const: 0.0ms (0% of total)

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

bsearch32.0ms (0.2%)

Algorithm

3×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	5.94000637775813e+95	1.481058531899655e+109
3.0ms	1.383410541878662e-35	1.6220053225781927e-35
17.0ms	-240562851753696.47	-100284.57160570839

Results

19.0ms

256×

valid

Compiler

Compiled 740 to 412 computations (44.3% saved)

Precisions

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

ival-cos: 6.0ms (56% of total)

ival-exp: 2.0ms (18.7% of total)

ival-mult: 2.0ms (18.7% of total)

const: 0.0ms (0% of total)

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

bsearch64.0ms (0.4%)

Algorithm

3×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	5.94000637775813e+95	1.481058531899655e+109
24.0ms	3.1899796386971213e-13	5.663138228822309e+22
17.0ms	-240562851753696.47	-100284.57160570839

Results

31.0ms

400×

valid

Compiler

Compiled 1526 to 696 computations (54.4% saved)

Precisions

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

ival-cos: 9.0ms (51.1% of total)

ival-exp: 6.0ms (34.1% of total)

ival-mult: 3.0ms (17% of total)

const: 0.0ms (0% of total)

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

bsearch69.0ms (0.5%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
22.0ms	1.1508031900374267e+146	8.529624068508843e+162
20.0ms	3.1899796386971213e-13	5.663138228822309e+22
25.0ms	-240562851753696.47	-100284.57160570839

Results

39.0ms

480×

valid

Compiler

Compiled 1762 to 1040 computations (41% saved)

Precisions

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

ival-cos: 10.0ms (53.8% of total)

ival-exp: 4.0ms (21.5% of total)

ival-mult: 3.0ms (16.2% of total)

const: 0.0ms (0% of total)

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

bsearch38.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.591100446606136e+127	1.4541253542341655e+137
22.0ms	-240562851753696.47	-100284.57160570839

Results

24.0ms

256×

valid

Compiler

Compiled 680 to 341 computations (49.9% saved)

Precisions

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

ival-cos: 5.0ms (52.7% of total)

ival-exp: 2.0ms (21.1% of total)

ival-mult: 2.0ms (21.1% of total)

const: 0.0ms (0% of total)

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

bsearch20.0ms (0.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	1.383410541878662e-35	1.6220053225781927e-35
15.0ms	-240562851753696.47	-100284.57160570839

Results

12.0ms

176×

valid

Compiler

Compiled 300 to 205 computations (31.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-cos: 4.0ms (59.4% of total)

ival-exp: 2.0ms (29.7% of total)

ival-mult: 1.0ms (14.9% of total)

const: 0.0ms (0% of total)

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

bsearch58.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	3.1899796386971213e-13	5.663138228822309e+22
24.0ms	-240562851753696.47	-100284.57160570839

Results

26.0ms

320×

valid

Compiler

Compiled 602 to 428 computations (28.9% saved)

Precisions

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

ival-cos: 7.0ms (55.7% of total)

ival-exp: 3.0ms (23.9% of total)

ival-mult: 2.0ms (15.9% of total)

const: 0.0ms (0% of total)

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

bsearch45.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	3.1899796386971213e-13	5.663138228822309e+22
15.0ms	-240562851753696.47	-100284.57160570839

Results

32.0ms

320×

valid

Compiler

Compiled 536 to 373 computations (30.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-cos: 12.0ms (56.6% of total)

ival-mult: 6.0ms (28.3% of total)

ival-exp: 3.0ms (14.1% of total)

const: 0.0ms (0% of total)

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

bsearch71.0ms (0.5%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
41.0ms	7.653493048267077e+83	6.381494643846278e+86
3.0ms	1.383410541878662e-35	1.6220053225781927e-35
24.0ms	-240562851753696.47	-100284.57160570839

Results

58.0ms

304×

valid

Compiler

Compiled 504 to 359 computations (28.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-exp: 12.0ms (57.4% of total)

ival-cos: 7.0ms (33.5% of total)

ival-mult: 2.0ms (9.6% of total)

const: 0.0ms (0% of total)

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

bsearch65.0ms (0.4%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
13.0ms	7.653493048267077e+83	6.381494643846278e+86
20.0ms	3.1899796386971213e-13	5.663138228822309e+22
16.0ms	-240562851753696.47	-100284.57160570839

Results

32.0ms

448×

valid

Compiler

Compiled 700 to 511 computations (27% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-cos: 9.0ms (52.6% of total)

ival-exp: 4.0ms (23.4% of total)

ival-mult: 3.0ms (17.5% 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
15.0ms	-240562851753696.47	-100284.57160570839

Results

10.0ms

144×

valid

Compiler

Compiled 228 to 153 computations (32.9% saved)

Precisions

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

ival-cos: 3.0ms (52.5% of total)

ival-exp: 2.0ms (35% of total)

ival-mult: 1.0ms (17.5% of total)

const: 0.0ms (0% of total)

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

bsearch86.0ms (0.6%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
29.0ms	1.4058335923735263e+171	5.0523314095340566e+196
39.0ms	3.1899796386971213e-13	5.663138228822309e+22
15.0ms	-288.39235925188547	-0.35222543294665487

Results

47.0ms

480×

valid

Compiler

Compiled 574 to 424 computations (26.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-cos: 21.0ms (70.9% of total)

ival-exp: 4.0ms (13.5% of total)

ival-mult: 3.0ms (10.1% of total)

const: 0.0ms (0% of total)

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

bsearch84.0ms (0.6%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
19.0ms	1.4058335923735263e+171	5.0523314095340566e+196
20.0ms	3.1899796386971213e-13	5.663138228822309e+22
20.0ms	-288.39235925188547	-0.35222543294665487

Results

41.0ms

480×

valid

Compiler

Compiled 574 to 402 computations (30% saved)

Precisions

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

ival-cos: 11.0ms (43.3% of total)

ival-exp: 10.0ms (39.4% of total)

ival-mult: 3.0ms (11.8% 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×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.2231998273175024e+31	6.5193314968631644e+35
17.0ms	-288.39235925188547	-0.35222543294665487

Results

18.0ms

256×

valid

Compiler

Compiled 268 to 193 computations (28% saved)

Precisions

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

ival-cos: 6.0ms (59.2% of total)

ival-exp: 2.0ms (19.7% of total)

ival-mult: 2.0ms (19.7% of total)

const: 0.0ms (0% of total)

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

bsearch25.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.4058335923735263e+171	5.0523314095340566e+196
3.0ms	1.383410541878662e-35	1.6220053225781927e-35

Results

17.0ms

208×

valid

Compiler

Compiled 238 to 187 computations (21.4% saved)

Precisions

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

ival-cos: 4.0ms (42% of total)

ival-mult: 4.0ms (42% of total)

ival-exp: 1.0ms (10.5% of total)

const: 0.0ms (0% of total)

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

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.2231998273175024e+31	6.5193314968631644e+35

Results

9.0ms

128×

valid

Compiler

Compiled 108 to 89 computations (17.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-cos: 3.0ms (63% of total)

ival-exp: 1.0ms (21% of total)

ival-mult: 1.0ms (21% of total)

const: 0.0ms (0% of total)

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

simplify40.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

124×	`*-commutative_binary64`
106×	`unsub-neg_binary64`
94×	`neg-mul-1_binary64`
84×	`+-commutative_binary64`
64×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	1160
1	273	1160
2	323	1160
3	368	1160
4	401	1160
5	472	1160
6	589	1160
7	594	1160

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (exp.f64 re) #s(literal 7621456421669903/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 1 binary64)) (.f64 (+.f64 re (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) #s(literal 1 binary64))) (cos.f64 im)) (.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))))))
(if (<=.f64 (exp.f64 re) #s(literal 7621456421669903/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #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))))))) (cos.f64 im)) (.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))))))
(if (<=.f64 (exp.f64 re) #s(literal 7621456421669903/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (cos.f64 im)) (.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))))))
(if (<=.f64 (exp.f64 re) #s(literal 7621456421669903/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 1 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))))))
(if (<=.f64 re #s(literal -3242591731706757/9007199254740992 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 620 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (if (<=.f64 re #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) (.f64 (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)))) (-.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))) (.f64 (.f64 re (.f64 re re)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)))))))
(if (<=.f64 re #s(literal -3242591731706757/9007199254740992 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 15057660889751/2596148429267413814265248164610048 binary64)) (cos.f64 im) (if (<=.f64 re #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.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 #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 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))) (.f64 (.f64 re (.f64 re re)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)))))))
(if (<=.f64 re #s(literal -102000 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im))) (if (<=.f64 re #s(literal 15057660889751/2596148429267413814265248164610048 binary64)) (cos.f64 im) (if (<=.f64 re #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.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 #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 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))) (.f64 (.f64 re (.f64 re re)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)))))))
(if (<=.f64 re #s(literal -102000 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im))) (if (<=.f64 re #s(literal 2993155353253689/187072209578355573530071658587684226515959365500928 binary64)) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (if (<=.f64 re #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.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 #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 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))) (.f64 (.f64 re (.f64 re re)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)))))))
(if (<=.f64 re #s(literal -102000 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im))) (if (<=.f64 re #s(literal 360 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) (-.f64 re (.f64 #s(literal 1/2 binary64) (.f64 re re))))) (if (<=.f64 re #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) (.f64 (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)))) (-.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))) (.f64 (.f64 re (.f64 re re)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)))))))
(if (<=.f64 re #s(literal -102000 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im))) (if (<=.f64 re #s(literal 82 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) (-.f64 re (.f64 #s(literal 1/2 binary64) (.f64 re re))))) (if (<=.f64 re #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/1296 binary64))) (/.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 im (.f64 im #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 im (*.f64 im #s(literal -1/2 binary64))))))))
(if (<=.f64 re #s(literal -102000 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im))) (if (<=.f64 re #s(literal 80000000000000001788093788758148794680787274407790076483830691431202118881938748767809628094744804760081220566700999629623348359593984 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) (-.f64 re (.f64 #s(literal 1/2 binary64) (.f64 re re))))) (.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 im im) #s(literal -1/12 binary64))))))
(if (<=.f64 re #s(literal -102000 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im))) (if (<=.f64 re #s(literal 2993155353253689/187072209578355573530071658587684226515959365500928 binary64)) (+.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 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))))))
(if (<=.f64 re #s(literal -102000 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im))) (if (<=.f64 re #s(literal 92000000000000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 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 #s(literal -1/2 binary64)))))))
(if (<=.f64 re #s(literal -102000 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im))) (if (<=.f64 re #s(literal 175 binary64)) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 im im) #s(literal -1/12 binary64))))))
(if (<=.f64 re #s(literal -102000 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im))) (if (<=.f64 re #s(literal 2993155353253689/187072209578355573530071658587684226515959365500928 binary64)) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (if (<=.f64 re #s(literal 620000000000000036678016430180676428940450101584187946557174576726819966485808789061632 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #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)))))))))
(if (<=.f64 re #s(literal -102000 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im))) (if (<=.f64 re #s(literal 450 binary64)) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (if (<=.f64 re #s(literal 620000000000000036678016430180676428940450101584187946557174576726819966485808789061632 binary64)) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #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)))))))))
(if (<=.f64 re #s(literal -102000 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 #s(literal 1/2 binary64))))))
(if (<=.f64 re #s(literal -23 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im))) (if (<=.f64 re #s(literal 8106479329266893/2251799813685248 binary64)) (+.f64 re #s(literal 1 binary64)) (if (<=.f64 re #s(literal 1419999999999999896026046717878076053887650558676686160819079442232639885020766096837160231730941012381292943906394329727742027115227096026141418968713367177016789946073088 binary64)) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))) (.f64 re (*.f64 re #s(literal 1/2 binary64))))))
(if (<=.f64 re #s(literal -20 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im))) (if (<=.f64 re #s(literal 460 binary64)) (+.f64 re #s(literal 1 binary64)) (if (<=.f64 re #s(literal 1419999999999999896026046717878076053887650558676686160819079442232639885020766096837160231730941012381292943906394329727742027115227096026141418968713367177016789946073088 binary64)) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64))))) (.f64 re (*.f64 re #s(literal 1/2 binary64))))))
(if (<=.f64 re #s(literal -85 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im))) (if (<=.f64 re #s(literal 12500000000000000670770275549184 binary64)) (+.f64 re #s(literal 1 binary64)) (.f64 re (.f64 re #s(literal 1/2 binary64)))))
(if (<=.f64 re #s(literal 2993155353253689/187072209578355573530071658587684226515959365500928 binary64)) #s(literal 1 binary64) (if (<=.f64 re #s(literal 1419999999999999896026046717878076053887650558676686160819079442232639885020766096837160231730941012381292943906394329727742027115227096026141418968713367177016789946073088 binary64)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (.f64 re (.f64 re #s(literal 1/2 binary64)))))
(if (<=.f64 re #s(literal 12500000000000000670770275549184 binary64)) #s(literal 1 binary64) (.f64 re (.f64 re #s(literal 1/2 binary64))))
(+.f64 re #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (exp.f64 re) #s(literal 7621456421669903/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 1 binary64)) (.f64 (+.f64 re (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) #s(literal 1 binary64))) (cos.f64 im)) (.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))))))
(if (<=.f64 (exp.f64 re) #s(literal 7621456421669903/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 1 binary64)) (.f64 (cos.f64 im) (+.f64 re (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re))))) (.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))))))
(if (<=.f64 (exp.f64 re) #s(literal 7621456421669903/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #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))))))) (cos.f64 im)) (.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))))))
(if (<=.f64 (exp.f64 re) #s(literal 7621456421669903/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 1 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)))))))) (.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))))))
(if (<=.f64 (exp.f64 re) #s(literal 7621456421669903/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (cos.f64 im)) (.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))))))
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(if (<=.f64 re #s(literal -102000 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im))) (if (<=.f64 re #s(literal 450 binary64)) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (if (<=.f64 re #s(literal 620000000000000036678016430180676428940450101584187946557174576726819966485808789061632 binary64)) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #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)))))))))
(if (<=.f64 re #s(literal -102000 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 #s(literal 1/2 binary64))))))
(if (<=.f64 re #s(literal -23 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im))) (if (<=.f64 re #s(literal 8106479329266893/2251799813685248 binary64)) (+.f64 re #s(literal 1 binary64)) (if (<=.f64 re #s(literal 1419999999999999896026046717878076053887650558676686160819079442232639885020766096837160231730941012381292943906394329727742027115227096026141418968713367177016789946073088 binary64)) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))) (.f64 re (*.f64 re #s(literal 1/2 binary64))))))
(if (<=.f64 re #s(literal -20 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im))) (if (<=.f64 re #s(literal 460 binary64)) (+.f64 re #s(literal 1 binary64)) (if (<=.f64 re #s(literal 1419999999999999896026046717878076053887650558676686160819079442232639885020766096837160231730941012381292943906394329727742027115227096026141418968713367177016789946073088 binary64)) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64))))) (.f64 re (*.f64 re #s(literal 1/2 binary64))))))
(if (<=.f64 re #s(literal -85 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im))) (if (<=.f64 re #s(literal 12500000000000000670770275549184 binary64)) (+.f64 re #s(literal 1 binary64)) (.f64 re (.f64 re #s(literal 1/2 binary64)))))
(if (<=.f64 re #s(literal 2993155353253689/187072209578355573530071658587684226515959365500928 binary64)) #s(literal 1 binary64) (if (<=.f64 re #s(literal 1419999999999999896026046717878076053887650558676686160819079442232639885020766096837160231730941012381292943906394329727742027115227096026141418968713367177016789946073088 binary64)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (.f64 re (.f64 re #s(literal 1/2 binary64)))))
(if (<=.f64 re #s(literal 12500000000000000670770275549184 binary64)) #s(literal 1 binary64) (.f64 re (.f64 re #s(literal 1/2 binary64))))
(+.f64 re #s(literal 1 binary64))
#s(literal 1 binary64)

soundness3.4s (22.9%)

Rules

5848×	`+-lowering-+.f64`
5848×	`+-lowering-+.f32`
4774×	`-lowering-.f32`
4774×	`-lowering-.f64`
4592×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	191
1	226	147
2	2423	144
0	9574	144
0	64	277
1	186	238
2	588	236
3	1525	230
4	2065	230
5	2744	230
6	3592	230
7	4440	230
8	5870	230
0	8026	230
0	33	162
1	210	140
2	2150	138
0	8625	138
0	232	3590
1	853	2802
2	3753	2601
0	8519	2601
0	195	1768
1	690	1475
2	2933	1412
0	9111	1412
0	21	97
1	112	81
2	1049	80
0	8371	80
0	239	2691
1	870	2149
2	3987	2051
0	8455	2051

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

Compiler

Compiled 3017 to 1512 computations (49.9% saved)

preprocess166.0ms (1.1%)

Remove: (abs im)
Compiler: Compiled 2366 to 404 computations (82.9% 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

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