Metrics for math.cos 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 14 to 11 computations (21.4% saved)

Precisions

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

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

ival-add: 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)

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

sample1.6s (16.5%)

Results

1.2s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 736.0ms

ival-mult: 264.0ms (35.9% of total)

ival-cos: 211.0ms (28.7% of total)

ival-exp: 152.0ms (20.7% of total)

ival-neg: 48.0ms (6.5% of total)

ival-add: 46.0ms (6.3% of total)

const: 12.0ms (1.6% of total)

backward-pass: 3.0ms (0.4% of total)

Bogosity

preprocess136.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

830×	`fma-define`
412×	`fma-neg`
102×	`times-frac`
96×	`associate-r`
87×	`distribute-lft-neg-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	316
1	100	308
2	280	308
3	673	298
4	1117	294
5	1661	294
6	2231	294
7	2749	294
8	2903	294
9	2917	294
10	2917	294
11	2917	294

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(abs re)

(abs im)

explain109.0ms (1.1%)

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`#s(literal 1/2 binary64)`
0	-	-	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
0	-	-	`re`
0	-	-	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
0	-	-	`im`
0	-	-	`(cos.f64 re)`
0	-	-	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
0	-	-	`(neg.f64 im)`
1	(7.008257615253635e-186 130.23624876587613)	-	`(exp.f64 (neg.f64 im))`
0	-	-	`(exp.f64 im)`

Results

69.0ms

512×

valid

Compiler

Compiled 85 to 38 computations (55.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-cos: 15.0ms (37.2% of total)

ival-mult: 12.0ms (29.7% of total)

ival-exp: 6.0ms (14.9% of total)

ival-add: 3.0ms (7.4% of total)

ival-neg: 2.0ms (5% of total)

const: 1.0ms (2.5% of total)

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

eval1.0ms (0%)

Compiler: Compiled 35 to 18 computations (48.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize72.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 (neg.f64 im))
✓	cost-diff	0	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
✓	cost-diff	0	(cos.f64 re)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
✓	accuracy	100.0%	(exp.f64 im)
✓	accuracy	100.0%	(cos.f64 re)
✓	accuracy	100.0%	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
✓	accuracy	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Rules

50×	`fma-define`
26×	`associate-r`
20×	`associate-l`
16×	`*-commutative`
10×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	128
1	33	128
2	79	128
3	132	126
4	165	126
5	200	126
6	232	126
7	243	126
8	245	126
9	250	126
10	250	126

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

33.0ms

256×

valid

Compiler

Compiled 36 to 14 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-cos: 7.0ms (35.1% of total)

ival-mult: 5.0ms (25.1% of total)

ival-exp: 3.0ms (15.1% of total)

ival-add: 3.0ms (15.1% of total)

const: 1.0ms (5% of total)

ival-neg: 1.0ms (5% of total)

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

series12.0ms (0.1%)

Counts

6 → 56

Calls

Call 1

Inputs
#<alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))>
#<alt (cos.f64 re)>
#<alt (exp.f64 im)>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re))>
#<alt (exp.f64 (neg.f64 im))>

Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))>
#<alt (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (cos.f64 re)>
#<alt (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/24 binary64) (cos.f64 re)))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) im)>
#<alt (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) im))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) im))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) im))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) im))>

Calls

21 calls:

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

rewrite341.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

100×	`associate-r`
90×	`add-exp-log`
90×	`add-log-exp`
90×	`log1p-expm1-u`
90×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	137
1	202	137
2	3306	137

Stop Event

1×

unsound

Counts

6 → 72

Calls

Call 1

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

Outputs
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (+.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))))
(/.f64 (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64))) (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))
(fma.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64) (.f64 (cos.f64 re) #s(literal -2 binary64)))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
(+.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) re))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 re))) #s(literal 1 binary64))
(*.f64 (cos.f64 re) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 re))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -2 binary64))
(pow.f64 (cos.f64 re) #s(literal -2 binary64))
(pow.f64 (cos.f64 re) #s(literal 1 binary64))
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(expm1.f64 (log1p.f64 (cos.f64 re)))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(literal 3 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (+.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))))
(/.f64 (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64))) (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))
(fma.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64) (.f64 (cos.f64 re) #s(literal -2 binary64)))
#s(literal 1 binary64)
#s(literal 3 binary64)

simplify88.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

723×	`fma-define`
718×	`associate-*r/`
560×	`associate-r`
375×	`distribute-rgt-out`
282×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	197	3069
1	505	2795
2	1615	2620
3	5101	2588

Stop Event

1×	node limit

Counts

128 → 141

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(cos.f64 re)
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/24 binary64) (cos.f64 re)))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) im)
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
(+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (+.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))))
(/.f64 (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64))) (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))
(fma.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64) (.f64 (cos.f64 re) #s(literal -2 binary64)))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
(+.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) re))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 re))) #s(literal 1 binary64))
(*.f64 (cos.f64 re) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 re))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -2 binary64))
(pow.f64 (cos.f64 re) #s(literal -2 binary64))
(pow.f64 (cos.f64 re) #s(literal 1 binary64))
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(expm1.f64 (log1p.f64 (cos.f64 re)))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(literal 3 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (+.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))))
(/.f64 (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64))) (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))
(fma.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64) (.f64 (cos.f64 re) #s(literal -2 binary64)))
#s(literal 1 binary64)
#s(literal 3 binary64)

Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 re #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
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(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64))) #s(literal -1/4 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
(+.f64 (neg.f64 im) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) im)
(+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal -1 binary64))))
(fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 im (fma.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal -1/6 binary64))) #s(literal -1 binary64))))
(fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (neg.f64 im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (neg.f64 im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (neg.f64 im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (neg.f64 im))
(+.f64 (cos.f64 re) (cos.f64 re))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(+.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) #s(literal -4 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(cos.f64 re)
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(/.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (+.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))))
#s(literal 1 binary64)
(/.f64 (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64))) (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64))))
#s(literal 1 binary64)
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(*.f64 (fabs.f64 (cos.f64 re)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (fabs.f64 (cos.f64 re)))
(log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 re)))
#s(literal 0 binary64)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (exp.f64 #s(literal -2 binary64)))
(.f64 (cos.f64 re) (.f64 #s(literal -2 binary64) (exp.f64 #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) #s(literal -4 binary64))
(fma.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64) (.f64 (cos.f64 re) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) #s(literal -4 binary64))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
(+.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) re))))
(+.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 re #s(literal -2 binary64)))))
(fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 re #s(literal -2 binary64))) #s(literal -2 binary64))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 re))) #s(literal 1 binary64))
(cos.f64 re)
(*.f64 (cos.f64 re) (cos.f64 re))
(pow.f64 (cos.f64 re) #s(literal 2 binary64))
(*.f64 (cos.f64 re) #s(literal 1 binary64))
(cos.f64 re)
(*.f64 #s(literal 1 binary64) (cos.f64 re))
(cos.f64 re)
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -2 binary64))
(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) re)) (cos.f64 #s(literal 0 binary64))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 re #s(literal 2 binary64)))) #s(literal -2 binary64))
(pow.f64 (cos.f64 re) #s(literal -2 binary64))
(pow.f64 (cos.f64 re) #s(literal 1 binary64))
(cos.f64 re)
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
(cbrt.f64 (cos.f64 re))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(cos.f64 re)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 re))))
(cos.f64 re)
(cbrt.f64 (cos.f64 re))
(expm1.f64 (log1p.f64 (cos.f64 re)))
(cos.f64 re)
(log1p.f64 (expm1.f64 (cos.f64 re)))
(cos.f64 re)
(exp.f64 (log.f64 (cos.f64 re)))
(cos.f64 re)
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal 1 binary64)))
(cos.f64 re)
#s(literal 1 binary64)
#s(literal 3 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(+.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) #s(literal -4 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(cos.f64 re)
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(/.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (+.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))))
#s(literal 1 binary64)
(/.f64 (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64))) (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64))))
#s(literal 1 binary64)
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(*.f64 (fabs.f64 (cos.f64 re)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (fabs.f64 (cos.f64 re)))
(log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 re)))
#s(literal 0 binary64)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (exp.f64 #s(literal -2 binary64)))
(.f64 (cos.f64 re) (.f64 #s(literal -2 binary64) (exp.f64 #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) #s(literal -4 binary64))
(fma.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64) (.f64 (cos.f64 re) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) #s(literal -4 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)

eval59.0ms (0.6%)

Compiler: Compiled 2120 to 1184 computations (44.2% saved)

prune148.0ms (1.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	132	9	141
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	132	10	142

Accuracy

100.0%

Counts

142 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.8%	(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (cos.f64 re))
	8.5%	(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
	76.7%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
▶	99.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
▶	70.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
✓	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	11.5%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
▶	64.1%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	54.5%	(cos.f64 re)
▶	2.4%	#s(literal 0 binary64)

Compiler

Compiled 205 to 160 computations (22% saved)

localize654.0ms (6.8%)

Algorithm

5×	egg-herbie

Localize:

Found 28 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(exp.f64 im)
✓	cost-diff	0	(*.f64 #s(literal -1/6 binary64) im)
	cost-diff	0	(cos.f64 re)
	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
	cost-diff	0	(exp.f64 im)
✓	cost-diff	0	(neg.f64 im)
	cost-diff	0	(exp.f64 (neg.f64 im))
	cost-diff	0	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
	cost-diff	0	(cos.f64 re)
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (cos.f64 re))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) im)
✓	cost-diff	0	(+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))
	cost-diff	0	(cos.f64 re)
	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
✓	accuracy	99.9%	(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im)))
✓	accuracy	99.9%	(.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))
✓	accuracy	99.5%	(*.f64 #s(literal -1/6 binary64) im)
✓	accuracy	76.3%	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im))
✓	accuracy	100.0%	(neg.f64 im)
	accuracy	100.0%	(exp.f64 (neg.f64 im))
	accuracy	100.0%	(exp.f64 im)
	accuracy	100.0%	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
	accuracy	100.0%	(cos.f64 re)
	accuracy	100.0%	(exp.f64 im)
	accuracy	100.0%	(cos.f64 re)
✓	accuracy	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
✓	accuracy	100.0%	(+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))

Rules

994×	`fma-neg`
942×	`fma-define`
784×	`fma-define`
580×	`fma-neg`
541×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	115
1	36	115
2	90	115
3	234	115
4	580	111
5	1137	111
6	2040	111
7	3360	111
8	3722	111
9	3814	111
10	3869	111
11	3962	111
12	4065	111
13	4804	111
14	5074	111
15	5074	111
16	5074	111
0	1	1
0	9	27
1	10	27
0	12	89
1	26	89
2	46	87
3	52	87
4	60	87
5	69	87
6	77	87
7	85	87
8	91	87
9	93	87
0	22	326
1	56	286
2	149	286
3	400	282
4	1193	282
5	4095	282
6	4852	282
7	7067	282

Stop Event

1×	node limit
1×	saturated
1×	saturated
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(literal 1/2 binary64)
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)

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

Call 3

Inputs
(*.f64 #s(literal 2 binary64) (cos.f64 re))
#s(literal 2 binary64)
(cos.f64 re)
re

Outputs
(*.f64 #s(literal 2 binary64) (cos.f64 re))
#s(literal 2 binary64)
(cos.f64 re)
re

Call 4

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Call 5

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

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

Results

143.0ms

256×

valid

Compiler

Compiled 165 to 96 computations (41.8% saved)

Precisions

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

ival-mult: 50.0ms (49.3% of total)

ival-add: 19.0ms (18.7% of total)

ival-sub: 16.0ms (15.8% of total)

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

const: 5.0ms (4.9% of total)

ival-exp: 3.0ms (3% of total)

ival-neg: 1.0ms (1% of total)

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

series20.0ms (0.2%)

Counts

9 → 95

Calls

Call 1

Inputs
#<alt (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))>
#<alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 re))>
#<alt (neg.f64 im)>
#<alt (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im))>
#<alt (*.f64 #s(literal -1/6 binary64) im)>
#<alt (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))>
#<alt (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im)))>
#<alt (-.f64 #s(literal 1 binary64) im)>

Outputs
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) im))))))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 im (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (exp.f64 im) im)) #s(literal 1 binary64)))>
#<alt (*.f64 im (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (exp.f64 im) im)) #s(literal 1 binary64)))>
#<alt (*.f64 im (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (exp.f64 im) im)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))>
#<alt (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))) (*.f64 #s(literal 1/48 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))>
#<alt (cos.f64 re)>
#<alt (+.f64 (cos.f64 re) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/12 binary64) (.f64 im (cos.f64 re))) (.f64 #s(literal 1/4 binary64) (cos.f64 re)))))>
#<alt (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal 1/48 binary64) (.f64 im (cos.f64 re))) (.f64 #s(literal 1/12 binary64) (cos.f64 re)))))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))) im))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))) im))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))) im))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))) im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))) im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))) im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/120 binary64) im))))))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))) (/.f64 (exp.f64 im) (pow.f64 im #s(literal 3 binary64))))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))) im))) im)))))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)))>
#<alt (*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)))>
#<alt (*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))>

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	re	@	-inf	(* 2 (cos re))
2.0ms	re	@	inf	(* (* 1/2 (cos re)) (+ (- 1 im) (exp im)))
1.0ms	re	@	0	(* (* 1/2 (cos re)) (+ (- 1 im) (exp im)))
1.0ms	re	@	-inf	(* (* 1/2 (cos re)) (+ (- 1 im) (exp im)))
1.0ms	im	@	inf	(* (* 1/2 (cos re)) (+ (- 1 im) (exp im)))

rewrite201.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

965×	`log1p-expm1-u`
203×	`expm1-log1p-u`
200×	`add-cube-cbrt`
199×	`add-exp-log`
198×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	223
1	434	203
2	6605	203

Stop Event

1×	node limit

Counts

9 → 231

Calls

Call 1

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

Outputs
(-.f64 #s(literal 1 binary64) (-.f64 im (exp.f64 im)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 im (exp.f64 im)))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 im (exp.f64 im)))))
(-.f64 (+.f64 (exp.f64 im) #s(literal 1 binary64)) im)
(*.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im)))
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im))) (sqrt.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im))))
(.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (.f64 (exp.f64 im) (-.f64 (exp.f64 im) (+.f64 #s(literal 1 binary64) im))))))
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 im (exp.f64 im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (*.f64 (exp.f64 im) (-.f64 (exp.f64 im) (+.f64 #s(literal 1 binary64) im)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 im (exp.f64 im))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (*.f64 (exp.f64 im) (-.f64 (exp.f64 im) (+.f64 #s(literal 1 binary64) im)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (exp.f64 (+.f64 (log1p.f64 im) im)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 im (exp.f64 im))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (*.f64 (exp.f64 im) (-.f64 (exp.f64 im) (+.f64 #s(literal 1 binary64) im))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 im (exp.f64 im)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 im (exp.f64 im)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 im (exp.f64 im)) (-.f64 im (exp.f64 im))) (-.f64 im (exp.f64 im)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64))) (-.f64 (exp.f64 im) (+.f64 #s(literal 1 binary64) im)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 im (exp.f64 im)) (-.f64 im (exp.f64 im)))) (+.f64 #s(literal 1 binary64) (-.f64 im (exp.f64 im))))
(pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im)))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im))))
(exp.f64 (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) im) (exp.f64 im))
(fma.f64 #s(literal 1 binary64) (exp.f64 im) (+.f64 #s(literal 1 binary64) im))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 im)) (+.f64 #s(literal 1 binary64) im))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) im)) (exp.f64 im))
(fma.f64 (sqrt.f64 (exp.f64 im)) (sqrt.f64 (exp.f64 im)) (+.f64 #s(literal 1 binary64) im))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) im)) (sqrt.f64 (+.f64 #s(literal 1 binary64) im)) (exp.f64 im))
(+.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) im))) (.f64 (exp.f64 im) (.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(+.f64 (.f64 (exp.f64 im) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) im))))
(+.f64 (.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) im))) #s(literal 1 binary64)) (.f64 (.f64 (exp.f64 im) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) im))) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 im) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) im))) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) im)))) (-.f64 (.f64 (.f64 (exp.f64 im) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (.f64 (exp.f64 im) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) im))) (.f64 (exp.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) im))) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) im)))) (.f64 (.f64 (exp.f64 im) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (.f64 (exp.f64 im) (.f64 #s(literal 1/2 binary64) (cos.f64 re))))) (-.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) im))) (.f64 (exp.f64 im) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (*.f64 (exp.f64 im) (-.f64 (exp.f64 im) (+.f64 #s(literal 1 binary64) im)))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 im (exp.f64 im))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (*.f64 (exp.f64 im) (-.f64 (exp.f64 im) (+.f64 #s(literal 1 binary64) im)))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (+.f64 #s(literal 1 binary64) (-.f64 im (exp.f64 im))))
(pow.f64 (.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re))))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(log1p.f64 (expm1.f64 (.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(exp.f64 (log.f64 (.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) im) (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (exp.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 1 binary64) im) (.f64 (exp.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) im)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 im)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 im))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 im))) (log.f64 (sqrt.f64 (exp.f64 im))))
(-.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) im)
(*.f64 #s(literal 1 binary64) im)
(*.f64 im #s(literal 1 binary64))
(*.f64 im #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) im)
(*.f64 (cbrt.f64 im) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 im))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 im)))
(*.f64 (sqrt.f64 im) (sqrt.f64 im))
(*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(*.f64 (neg.f64 (sqrt.f64 im)) (sqrt.f64 im))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 im)) (sqrt.f64 im))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) im))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 2 binary64))) im)
(pow.f64 im #s(literal 1 binary64))
(pow.f64 (cbrt.f64 im) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 im) #s(literal 2 binary64))
(pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 im #s(literal 2 binary64)))
(log.f64 (exp.f64 im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 im)))
(cbrt.f64 (pow.f64 im #s(literal 3 binary64)))
im
(expm1.f64 (log1p.f64 im))
(log1p.f64 (expm1.f64 im))
(exp.f64 (log.f64 im))
(exp.f64 (*.f64 (log.f64 im) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 im))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 im))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im))))
(*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im)))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im)))))
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(log.f64 (pow.f64 (exp.f64 im) (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 im #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) im)
(+.f64 im #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) im))
(*.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) im)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) im)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) im)) (sqrt.f64 (+.f64 #s(literal 1 binary64) im)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 im im im))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) im)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im im im)) (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 im im im)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 im #s(literal 2 binary64)) im)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) im))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im im im))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) im)))
(pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) im))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) im)))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) im)))
(exp.f64 (log1p.f64 im))
(exp.f64 (*.f64 (log1p.f64 im) #s(literal 1 binary64)))

simplify199.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

615×	`fma-neg`
557×	`associate-l`
556×	`associate-r`
342×	`fma-define`
272×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	659	12957
1	1605	11938
2	6797	11932

Stop Event

1×	node limit

Counts

326 → 411

Calls

Call 1

Inputs
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) im))))))
(*.f64 #s(literal -1 binary64) im)
(*.f64 im (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (exp.f64 im) im)) #s(literal 1 binary64)))
(*.f64 im (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (exp.f64 im) im)) #s(literal 1 binary64)))
(*.f64 im (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (exp.f64 im) im)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) im)
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))
(+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))) (*.f64 #s(literal 1/48 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))
(cos.f64 re)
(+.f64 (cos.f64 re) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/12 binary64) (.f64 im (cos.f64 re))) (.f64 #s(literal 1/4 binary64) (cos.f64 re)))))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal 1/48 binary64) (.f64 im (cos.f64 re))) (.f64 #s(literal 1/12 binary64) (cos.f64 re)))))))
(.f64 #s(literal -1/2 binary64) (.f64 im (cos.f64 re)))
(.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))) im))))
(.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))) im))))
(.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))) im))))
(.f64 #s(literal -1/2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))) im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))) im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))) im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/120 binary64) im))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))) (/.f64 (exp.f64 im) (pow.f64 im #s(literal 3 binary64))))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) im)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))) im))) im)))))
(*.f64 #s(literal -1 binary64) im)
(.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) im)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) im)))))
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
(*.f64 #s(literal -1 binary64) im)
(*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)))
(*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)))
(*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) im)
(.f64 #s(literal -1 binary64) (.f64 im (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 #s(literal -1 binary64) (.f64 im (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 #s(literal -1 binary64) (.f64 im (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))
(-.f64 #s(literal 1 binary64) (-.f64 im (exp.f64 im)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 im (exp.f64 im)))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 im (exp.f64 im)))))
(-.f64 (+.f64 (exp.f64 im) #s(literal 1 binary64)) im)
(*.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im)))
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im))) (sqrt.f64 (+.f64 (+.f64 #s(literal 1 binary64) im) (exp.f64 im))))
(.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (.f64 (exp.f64 im) (-.f64 (exp.f64 im) (+.f64 #s(literal 1 binary64) im))))))
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 im (exp.f64 im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (*.f64 (exp.f64 im) (-.f64 (exp.f64 im) (+.f64 #s(literal 1 binary64) im)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 im (exp.f64 im))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (*.f64 (exp.f64 im) (-.f64 (exp.f64 im) (+.f64 #s(literal 1 binary64) im)))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (neg.f64 (-.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 im))))
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(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im)) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im)))) (-.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im))))
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(pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im)))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im)))))
(exp.f64 (log1p.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im))))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 im))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 im)) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (exp.f64 im))
(fma.f64 (sqrt.f64 (exp.f64 im)) (sqrt.f64 (exp.f64 im)) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (exp.f64 im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im #s(literal -1/6 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im #s(literal -1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im #s(literal -1/6 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/6 binary64)) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im #s(literal -1/6 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/216 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im #s(literal -1/6 binary64))))
(log1p.f64 (expm1.f64 (*.f64 im #s(literal -1/6 binary64))))
(exp.f64 (log.f64 (*.f64 im #s(literal -1/6 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 im #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 im (.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) im)
(+.f64 (.f64 (.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64))) im) im)
(-.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 im (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 im (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) im) (+.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) im) (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 im #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 im #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 im #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 im #s(literal 1/2 binary64)) (.f64 im #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 (.f64 im #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 im #s(literal 1/2 binary64)) (.f64 im #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))) (-.f64 (.f64 im #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (.f64 im (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 #s(literal -1/12 binary64) im))))
(/.f64 (.f64 im (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64)))) (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal 1/8 binary64)) im) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 #s(literal -1/12 binary64) im))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64))) im) (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 im #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) im)
(+.f64 im #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) im))
(*.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) im)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) im)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) im)) (sqrt.f64 (+.f64 #s(literal 1 binary64) im)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 im im im))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) im)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im im im)) (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 im im im)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 im #s(literal 2 binary64)) im)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) im))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im im im))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) im)))
(pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) im))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) im)))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) im)))
(exp.f64 (log1p.f64 im))
(exp.f64 (*.f64 (log1p.f64 im) #s(literal 1 binary64)))

Outputs
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) im))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/6 binary64) (*.f64 im #s(literal 1/24 binary64)))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 im (fma.f64 im #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 im (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (exp.f64 im) im)) #s(literal 1 binary64)))
(*.f64 im (+.f64 (/.f64 #s(literal 1 binary64) im) (-.f64 (/.f64 (exp.f64 im) im) #s(literal 1 binary64))))
(*.f64 im (+.f64 (/.f64 (exp.f64 im) im) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 im (+.f64 (/.f64 #s(literal 1 binary64) im) (expm1.f64 (-.f64 im (log.f64 im)))))
(*.f64 im (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (exp.f64 im) im)) #s(literal 1 binary64)))
(*.f64 im (+.f64 (/.f64 #s(literal 1 binary64) im) (-.f64 (/.f64 (exp.f64 im) im) #s(literal 1 binary64))))
(*.f64 im (+.f64 (/.f64 (exp.f64 im) im) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 im (+.f64 (/.f64 #s(literal 1 binary64) im) (expm1.f64 (-.f64 im (log.f64 im)))))
(*.f64 im (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (exp.f64 im) im)) #s(literal 1 binary64)))
(*.f64 im (+.f64 (/.f64 #s(literal 1 binary64) im) (-.f64 (/.f64 (exp.f64 im) im) #s(literal 1 binary64))))
(*.f64 im (+.f64 (/.f64 (exp.f64 im) im) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 im (+.f64 (/.f64 #s(literal 1 binary64) im) (expm1.f64 (-.f64 im (log.f64 im)))))
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))
(*.f64 (neg.f64 im) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))
(*.f64 (neg.f64 im) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))
(*.f64 (neg.f64 im) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) (neg.f64 im))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))
(fma.f64 #s(literal -1/4 binary64) (.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)) (pow.f64 re #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im))))
(.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)) (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)) (.f64 (*.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/48 binary64)))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)) (+.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/48 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im))))
(+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))) (*.f64 #s(literal 1/48 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)) (pow.f64 re #s(literal 2 binary64))) (.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)) #s(literal 1/48 binary64)))))))
(+.f64 (.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)) (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 (.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64)) #s(literal 1/48 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)) (cos.f64 re)))
(.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)) (cos.f64 re)))
(.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)) (cos.f64 re)))
(.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)) (cos.f64 re)))
(.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)) (cos.f64 re)))
(.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)) (cos.f64 re)))
(.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)) (cos.f64 re)))
(.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)) (cos.f64 re)))
(.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(cos.f64 re)
(+.f64 (cos.f64 re) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(.f64 (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (cos.f64 re))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/12 binary64) (.f64 im (cos.f64 re))) (.f64 #s(literal 1/4 binary64) (cos.f64 re)))))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (.f64 im (cos.f64 re)) (*.f64 (cos.f64 re) #s(literal 1/4 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) (+.f64 (.f64 im #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) (cos.f64 re))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal 1/48 binary64) (.f64 im (cos.f64 re))) (.f64 #s(literal 1/12 binary64) (cos.f64 re)))))))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/48 binary64) (.f64 im (cos.f64 re)) (.f64 (cos.f64 re) #s(literal 1/12 binary64)))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 im (.f64 (cos.f64 re) (+.f64 (.f64 im #s(literal 1/48 binary64)) #s(literal 1/12 binary64))) (*.f64 (cos.f64 re) #s(literal 1/4 binary64))) (cos.f64 re))
(.f64 #s(literal -1/2 binary64) (.f64 im (cos.f64 re)))
(.f64 (.f64 im (cos.f64 re)) #s(literal -1/2 binary64))
(.f64 (cos.f64 re) (.f64 im #s(literal -1/2 binary64)))
(.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))) im))))
(.f64 im (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))
(.f64 im (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (/.f64 (cos.f64 re) im)) (*.f64 (cos.f64 re) #s(literal -1/2 binary64))))
(.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))) im))))
(.f64 im (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))
(.f64 im (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (/.f64 (cos.f64 re) im)) (*.f64 (cos.f64 re) #s(literal -1/2 binary64))))
(.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))) im))))
(.f64 im (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))
(.f64 im (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (/.f64 (cos.f64 re) im)) (*.f64 (cos.f64 re) #s(literal -1/2 binary64))))
(.f64 #s(literal -1/2 binary64) (.f64 im (cos.f64 re)))
(.f64 (.f64 im (cos.f64 re)) #s(literal -1/2 binary64))
(.f64 (cos.f64 re) (.f64 im #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))) im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(.f64 (neg.f64 im) (fma.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 re) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (.f64 (cos.f64 re) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im) #s(literal -1/2 binary64)))) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))) im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(.f64 (neg.f64 im) (fma.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 re) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (.f64 (cos.f64 re) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im) #s(literal -1/2 binary64)))) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))) im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(.f64 (neg.f64 im) (fma.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 re) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (.f64 (cos.f64 re) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im) #s(literal -1/2 binary64)))) (neg.f64 im))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (neg.f64 (pow.f64 re #s(literal 2 binary64))))
(-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/360 binary64))) #s(literal -1 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/360 binary64) #s(literal 1/12 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/120 binary64) im))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 im #s(literal 1/120 binary64)))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 im #s(literal 1/120 binary64) #s(literal 1/24 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
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(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) im))
(*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) im))
(*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) im))
(*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 im #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) im))
(*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) im))
(*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) im)
(+.f64 im #s(literal 1 binary64))
(+.f64 im #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) im))
(+.f64 im #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))
(+.f64 im #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) im)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)))
(+.f64 im #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) im)))
(+.f64 im #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) im)) (sqrt.f64 (+.f64 #s(literal 1 binary64) im)))
(+.f64 im #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 im im im))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 im im im)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) im)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 im #s(literal 1 binary64)) (+.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 im im #s(literal 1 binary64)) (+.f64 im #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im im im)) (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 im im im))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 im im im)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 im #s(literal 1 binary64)) (+.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 im im #s(literal 1 binary64)) (+.f64 im #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 im im im)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 im im im))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 im #s(literal 2 binary64)) im)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))) (-.f64 (fma.f64 im im #s(literal 1 binary64)) im))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) im))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 im #s(literal 1 binary64)) (+.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 im im #s(literal 1 binary64)) (+.f64 im #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im im im))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 im #s(literal 3 binary64)))) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 im im im))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (fma.f64 im im im)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) im)))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 im #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (neg.f64 im)))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) im))
(pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))
(+.f64 im #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) im)) #s(literal 3 binary64))
(+.f64 im #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 im #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64))
(+.f64 im #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)))
(+.f64 im #s(literal 1 binary64))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) im)))
(+.f64 im #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) im))))
(+.f64 im #s(literal 1 binary64))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)))
(+.f64 im #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) im)))
(expm1.f64 (log1p.f64 (+.f64 im #s(literal 1 binary64))))
(+.f64 (+.f64 #s(literal 2 binary64) im) #s(literal -1 binary64))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) im)))
(+.f64 im #s(literal 1 binary64))
(exp.f64 (log1p.f64 im))
(+.f64 im #s(literal 1 binary64))
(exp.f64 (*.f64 (log1p.f64 im) #s(literal 1 binary64)))
(+.f64 im #s(literal 1 binary64))

eval157.0ms (1.6%)

Compiler: Compiled 11505 to 7698 computations (33.1% saved)

prune115.0ms (1.2%)

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	567	15	582
Fresh	2	2	4
Picked	1	4	5
Done	0	1	1
Total	570	22	592

Accuracy

100.0%

Counts

592 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.8%	(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (cos.f64 re))
	14.1%	(-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
▶	83.6%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
	76.6%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
	53.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64)))))))))
	53.1%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))
✓	70.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
✓	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	99.2%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
✓	11.5%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
▶	8.9%	(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
	47.6%	(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
▶	63.8%	(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))
	43.1%	(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
	63.8%	(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))) (exp.f64 im)))
✓	64.1%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	31.7%	(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
	9.7%	(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
	8.3%	(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
▶	4.0%	(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
	54.5%	(cos.f64 re)
✓	2.4%	#s(literal 0 binary64)

Compiler

Compiled 509 to 414 computations (18.7% saved)

localize755.0ms (7.8%)

Algorithm

5×	egg-herbie

Localize:

Found 28 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 im #s(literal 1/6 binary64))
	cost-diff	0	(-.f64 #s(literal 1 binary64) im)
	cost-diff	0	(cos.f64 re)
	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
✓	cost-diff	-6272	(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))
	cost-diff	0	(exp.f64 im)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 im))
✓	cost-diff	0	(-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)
✓	cost-diff	128	(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
✓	cost-diff	128	(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
	cost-diff	0	(exp.f64 im)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 im))
	cost-diff	0	(cos.f64 re)
	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
✓	accuracy	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
✓	accuracy	99.9%	(.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))
✓	accuracy	99.9%	(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))
✓	accuracy	99.5%	(*.f64 im #s(literal 1/6 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))
	accuracy	100.0%	(exp.f64 im)
✓	accuracy	100.0%	(-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 im))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
	accuracy	100.0%	(exp.f64 im)
	accuracy	100.0%	(cos.f64 re)
✓	accuracy	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 im))

Rules

668×	`sub-neg`
452×	`fma-define`
417×	`distribute-lft-neg-in`
387×	`distribute-rgt-neg-in`
330×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	87
1	31	87
2	64	87
3	115	83
4	139	83
5	147	83
6	149	83
0	6	3
0	5	3
1	11	3
0	12	80
1	23	80
2	45	80
3	94	76
4	160	76
5	239	76
6	405	76
7	714	76
8	1071	76
9	1277	76
10	1511	76
11	1601	76
12	1603	76
13	1605	76
14	1612	76
15	1617	76
0	22	352
1	62	292
2	204	280
3	731	258
4	2966	258
5	5142	258
6	7275	258

Stop Event

1×	node limit
1×	saturated
1×	saturated
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Call 3

Inputs
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)

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

Call 4

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

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

Call 5

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

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

Results

359.0ms

256×

valid

Compiler

Compiled 162 to 110 computations (32.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 321.0ms

ival-add: 161.0ms (50.2% of total)

ival-mult: 112.0ms (34.9% of total)

ival-cos: 33.0ms (10.3% of total)

ival-sub: 7.0ms (2.2% of total)

const: 6.0ms (1.9% of total)

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

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

series23.0ms (0.2%)

Counts

10 → 112

Calls

Call 1

Inputs
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 im))>
#<alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))>
#<alt (*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))>
#<alt (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))>
#<alt (*.f64 im #s(literal 1/6 binary64))>
#<alt (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))>
#<alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))>

Outputs
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) im)>
#<alt (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im)))>
#<alt (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (cos.f64 re)>
#<alt (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 im (cos.f64 re))))>
#<alt (+.f64 (cos.f64 re) (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (+.f64 (cos.f64 re) (.f64 im (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal 1/12 binary64) (.f64 im (cos.f64 re))) (.f64 #s(literal 1/4 binary64) (cos.f64 re)))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) im))))))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 im (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (exp.f64 im) im)) #s(literal 1 binary64)))>
#<alt (*.f64 im (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (exp.f64 im) im)) #s(literal 1 binary64)))>
#<alt (*.f64 im (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (exp.f64 im) im)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 im (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/48 binary64) im))))))>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt (.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) #s(literal 1/2 binary64)))>
#<alt (.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) #s(literal 1/2 binary64)))>
#<alt (.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))>
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))>
#<alt (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))>
#<alt (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt im>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) im)) #s(literal 1/6 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) im)) #s(literal 1/6 binary64))))>
#<alt (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im))>
#<alt (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im))) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im)) (.f64 #s(literal 1/48 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im))) (.f64 #s(literal 1/48 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))>
#<alt (cos.f64 re)>
#<alt (+.f64 (cos.f64 re) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/12 binary64) (.f64 im (cos.f64 re))) (.f64 #s(literal 1/4 binary64) (cos.f64 re)))))>
#<alt (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/12 binary64) (.f64 im (cos.f64 re))) (.f64 #s(literal 1/4 binary64) (cos.f64 re)))))>
#<alt (.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/12 binary64) (cos.f64 re)) (*.f64 #s(literal 1/4 binary64) (/.f64 (cos.f64 re) im))))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/12 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (cos.f64 re) im)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/12 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (cos.f64 re) im)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))))>
#<alt (.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (cos.f64 re) im)) (.f64 #s(literal -1/12 binary64) (cos.f64 re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) im)) (*.f64 #s(literal -1/12 binary64) (cos.f64 re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) im)) (*.f64 #s(literal -1/12 binary64) (cos.f64 re)))))>

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	im	@	inf	(* (* 1/2 (cos re)) (+ 1 (exp im)))
2.0ms	im	@	inf	(* 1/2 (- (+ 1 (exp im)) im))
1.0ms	re	@	inf	(* (* 1/2 (cos re)) (+ (- 1 im) (+ 1 (* im (+ 1 (* im (+ 1/2 (* im 1/6))))))))
1.0ms	re	@	0	(* (* 1/2 (cos re)) (+ (- 1 im) (+ 1 (* im (+ 1 (* im (+ 1/2 (* im 1/6))))))))
1.0ms	re	@	-inf	(* (* 1/2 (cos re)) (+ (- 1 im) (+ 1 (* im (+ 1 (* im (+ 1/2 (* im 1/6))))))))

rewrite227.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

489×	`log1p-expm1-u`
226×	`expm1-log1p-u`
221×	`associate-r`
220×	`add-exp-log`
220×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	256
1	477	232
2	7594	232

Stop Event

1×	node limit

Counts

10 → 219

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 im))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 im))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 im))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 im))))
(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 im) (expm1.f64 im)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 im))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 im) (expm1.f64 im))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 im)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 im) (expm1.f64 im))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 im))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 im)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 im) (expm1.f64 im)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 im))))
(/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1 binary64)) (expm1.f64 im))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(exp.f64 (log1p.f64 (exp.f64 im)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 im)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 im) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 im)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (exp.f64 im)) (sqrt.f64 (exp.f64 im)) #s(literal 1 binary64))
(+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (exp.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (.f64 (exp.f64 im) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 1 binary64)))
(+.f64 (.f64 (exp.f64 im) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 im) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 3 binary64))) (+.f64 (.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 (exp.f64 im) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (.f64 (exp.f64 im) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (exp.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (exp.f64 im) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (.f64 (exp.f64 im) (.f64 #s(literal 1/2 binary64) (cos.f64 re))))) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (exp.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 im) (expm1.f64 im))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 im)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 im) (expm1.f64 im))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (-.f64 #s(literal 1 binary64) (exp.f64 im)))
(pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re))))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(log1p.f64 (expm1.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(exp.f64 (+.f64 (log1p.f64 (exp.f64 im)) (log.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(exp.f64 (.f64 (+.f64 (log1p.f64 (exp.f64 im)) (log.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (exp.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (.f64 (exp.f64 im) (.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(fma.f64 (cos.f64 re) #s(literal 1/2 binary64) (.f64 (exp.f64 im) (.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 1 binary64) (.f64 (exp.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (.f64 (exp.f64 im) (.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (.f64 (exp.f64 im) (.f64 #s(literal 1/2 binary64) (cos.f64 re))))
#s(literal -1 binary64)
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (exp.f64 im) im) #s(literal 1 binary64)))
(+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (neg.f64 im))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (*.f64 (neg.f64 im) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im)) (fma.f64 (neg.f64 im) #s(literal 1 binary64) im))
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im)) (fma.f64 (neg.f64 (cbrt.f64 im)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) im))
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im)) (fma.f64 (neg.f64 (sqrt.f64 im)) (sqrt.f64 im) im))
(+.f64 (neg.f64 im) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
(+.f64 (-.f64 (exp.f64 im) im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im)))
(*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im))))
(.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 2 binary64)) (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 im) im))))))
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 im) im))))
(*.f64 (+.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 im))) (sqrt.f64 im)) (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 im))) (sqrt.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 2 binary64)) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 im) im)))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 im) im)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 2 binary64)) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 im) im)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 im) im)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 2 binary64)) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 im) im))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 im) im))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 im) im) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 (exp.f64 im) im) (-.f64 (exp.f64 im) im)) (-.f64 (exp.f64 im) im))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (neg.f64 im) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 im) (neg.f64 im)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (neg.f64 im)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (exp.f64 im) im) (-.f64 (exp.f64 im) im))) (-.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 2 binary64)) (*.f64 (neg.f64 im) (neg.f64 im))) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (neg.f64 im)))
(pow.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im))))
(exp.f64 (log1p.f64 (-.f64 (exp.f64 im) im)))
(exp.f64 (*.f64 (log1p.f64 (-.f64 (exp.f64 im) im)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im)) (neg.f64 im))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im))) (neg.f64 im))
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(/.f64 (.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (*.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) im)))))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (-.f64 #s(literal 1 binary64) (+.f64 im (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 re)) #s(literal 1/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 #s(literal 1 binary64) im) (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) im) (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))

simplify212.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

760×	`fma-neg`
562×	`associate-r`
503×	`associate-l`
501×	`fma-define`
310×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	676	14472
1	1860	13395
2	7252	13375

Stop Event

1×	node limit

Counts

331 → 423

Calls

Call 1

Inputs
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) im)
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(cos.f64 re)
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 im (cos.f64 re))))
(+.f64 (cos.f64 re) (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(+.f64 (cos.f64 re) (.f64 im (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal 1/12 binary64) (.f64 im (cos.f64 re))) (.f64 #s(literal 1/4 binary64) (cos.f64 re)))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) im))))))
(*.f64 #s(literal -1 binary64) im)
(*.f64 im (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (exp.f64 im) im)) #s(literal 1 binary64)))
(*.f64 im (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (exp.f64 im) im)) #s(literal 1 binary64)))
(*.f64 im (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (exp.f64 im) im)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) im)
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 im (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/48 binary64) im))))))
(*.f64 #s(literal -1/2 binary64) im)
(.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) #s(literal 1/2 binary64)))
(.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) #s(literal 1/2 binary64)))
(.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) im)
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/2 binary64) im)
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
im
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) im)) #s(literal 1/6 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) im)) #s(literal 1/6 binary64))))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im))) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))
(+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im)) (.f64 #s(literal 1/48 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im))))))
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(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) im))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) im))) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) im)))) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) im))) (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) im))) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) im)))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) (-.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (*.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) im)))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (+.f64 im (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (*.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) im)))))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (-.f64 #s(literal 1 binary64) (+.f64 im (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 re)) #s(literal 1/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 #s(literal 1 binary64) im) (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) im) (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))

Outputs
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) im)
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64)))))
(fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))
(+.f64 #s(literal 2 binary64) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (pow.f64 re #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 im))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (+.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/48 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (pow.f64 re #s(literal 2 binary64))) (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/48 binary64) (exp.f64 im))))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64)) #s(literal 1/48 binary64))) (+.f64 #s(literal -1/4 binary64) (.f64 (exp.f64 im) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(cos.f64 re)
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 im (cos.f64 re))))
(*.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re))
(+.f64 (cos.f64 re) (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(+.f64 (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(fma.f64 im (.f64 (cos.f64 re) (+.f64 (.f64 im #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) (cos.f64 re))
(+.f64 (cos.f64 re) (.f64 im (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal 1/12 binary64) (.f64 im (cos.f64 re))) (.f64 #s(literal 1/4 binary64) (cos.f64 re)))))))
(+.f64 (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/12 binary64) (.f64 im (cos.f64 re)) (.f64 (cos.f64 re) #s(literal 1/4 binary64)))))))
(fma.f64 im (fma.f64 im (.f64 (cos.f64 re) (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (cos.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) im))))))
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(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (-.f64 #s(literal 1 binary64) (+.f64 im (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (+.f64 im (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) im))
(pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) #s(literal 3 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) im))
(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) im))
(pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) im))
(sqrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) #s(literal 2 binary64)))
(fabs.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) im)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 re)) #s(literal 1/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 re))) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 re))) (-.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) im))
(cbrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) im))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) im))
(cbrt.f64 (.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) im))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(expm1.f64 (log1p.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) im))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) im))
(exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) im))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) #s(literal 1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) im))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 #s(literal 1 binary64) im) (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) im))
(fma.f64 (-.f64 #s(literal 1 binary64) im) (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) im))

eval189.0ms (2%)

Compiler: Compiled 12920 to 9022 computations (30.2% saved)

prune122.0ms (1.3%)

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	613	11	624
Fresh	4	8	12
Picked	3	2	5
Done	2	3	5
Total	622	24	646

Accuracy

100.0%

Counts

646 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.8%	(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (cos.f64 re))
▶	14.1%	(-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
	63.6%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
	54.9%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
	76.6%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64)))))))
	53.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64)))))))))
	53.1%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))
✓	70.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
✓	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	83.3%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
	76.3%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
✓	99.2%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
▶	2.4%	(*.f64 im #s(literal -1/2 binary64))
✓	8.9%	(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
	52.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im))
	47.6%	(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im #s(literal 1/2 binary64))))) im))
	63.8%	(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))) (exp.f64 im)))
✓	64.1%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	83.6%	(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))
	9.7%	(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
	8.3%	(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
	54.5%	(cos.f64 re)
	31.7%	#s(literal 1 binary64)
▶	4.0%	#s(literal -1 binary64)

Compiler

Compiled 616 to 498 computations (19.2% saved)

localize543.0ms (5.6%)

Algorithm

5×	egg-herbie

Localize:

Found 22 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))
✓	cost-diff	0	(*.f64 #s(literal 1/6 binary64) im)
	cost-diff	0	(cos.f64 re)
	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
✓	cost-diff	0	(pow.f64 re #s(literal 2 binary64))
✓	cost-diff	0	(-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 im #s(literal -1/2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))
	cost-diff	0	(cos.f64 re)
✓	cost-diff	0	(pow.f64 im #s(literal 2 binary64))
✓	cost-diff	128	(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (cos.f64 re))
✓	accuracy	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
✓	accuracy	99.9%	(.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))
✓	accuracy	99.9%	(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))
✓	accuracy	99.5%	(*.f64 #s(literal 1/6 binary64) im)
✓	accuracy	100.0%	(-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
✓	accuracy	100.0%	(pow.f64 re #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 im #s(literal -1/2 binary64))
	accuracy	100.0%	(cos.f64 re)
✓	accuracy	100.0%	(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (cos.f64 re))
✓	accuracy	100.0%	(.f64 (cos.f64 re) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	99.7%	(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))

Rules

1369×	`distribute-lft-in`
1234×	`distribute-rgt-in`
624×	`*-commutative`
614×	`associate-+r+`
480×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	149
1	31	149
2	70	146
3	181	142
4	417	142
5	669	142
6	698	142
7	807	142
8	857	142
9	882	142
0	1	1
0	7	15
1	8	15
0	8	31
1	12	31
2	21	31
3	32	31
4	45	31
5	62	31
6	83	31
7	98	31
8	107	31
9	116	31
0	21	267
1	54	219
2	167	219
3	491	219
4	1752	219
5	3990	219
6	5381	219
7	5752	219
8	5756	219
9	5756	219
10	5870	219
11	6039	219
12	6046	219
13	6046	219
14	7858	219
15	7982	219
16	7982	219

Stop Event

1×	node limit
1×	saturated
1×	saturated
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

Inputs
(-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
#s(literal 2 binary64)
(pow.f64 re #s(literal 2 binary64))
re

Outputs
(-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
#s(literal 2 binary64)
(pow.f64 re #s(literal 2 binary64))
re

Call 3

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

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

Call 4

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Call 5

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

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

Results

141.0ms

256×

valid

Compiler

Compiled 145 to 102 computations (29.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-mult: 44.0ms (41.9% of total)

ival-pow: 25.0ms (23.8% of total)

ival-add: 21.0ms (20% of total)

ival-cos: 6.0ms (5.7% of total)

const: 5.0ms (4.8% of total)

ival-fma: 3.0ms (2.9% of total)

ival-sub: 1.0ms (1% of total)

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

series44.0ms (0.5%)

Counts

11 → 127

Calls

Call 1

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

Outputs
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))))))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re))>
#<alt (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))>
#<alt (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))>
#<alt (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (cos.f64 re)>
#<alt (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal 1/2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))))) #s(literal 1/2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal 1/720 binary64))))))) #s(literal 1/2 binary64)))))>
#<alt (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt im>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) im)) #s(literal 1/6 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) im)) #s(literal 1/6 binary64))))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))))>
#<alt (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))))) (.f64 #s(literal 1/48 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))))) (.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (cos.f64 re)>
#<alt (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 im (cos.f64 re))))>
#<alt (+.f64 (cos.f64 re) (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (+.f64 (cos.f64 re) (.f64 im (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal 1/12 binary64) (.f64 im (cos.f64 re))) (.f64 #s(literal 1/4 binary64) (cos.f64 re)))))))>
#<alt (.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/12 binary64) (cos.f64 re)) (*.f64 #s(literal 1/4 binary64) (/.f64 (cos.f64 re) im))))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/12 binary64) (cos.f64 re)) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (cos.f64 re) im)) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/12 binary64) (cos.f64 re)) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (cos.f64 re) im)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64)))))))>
#<alt (.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (cos.f64 re) im)) (.f64 #s(literal -1/12 binary64) (cos.f64 re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 re)) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) im))) im)) (.f64 #s(literal -1/12 binary64) (cos.f64 re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) im)) (.f64 #s(literal -1/2 binary64) (cos.f64 re))) im)) (.f64 #s(literal 1/4 binary64) (cos.f64 re))) im)) (.f64 #s(literal -1/12 binary64) (cos.f64 re)))))>

Calls

42 calls:

Time	Variable		Point	Expression
20.0ms	re	@	inf	(pow re 2)
1.0ms	re	@	0	(* (* 1/2 (cos re)) (+ 2 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))))
1.0ms	re	@	inf	(* (* 1/2 (cos re)) (+ 2 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))))
1.0ms	re	@	0	(+ (* (pow im 2) (* (cos re) (+ (* (pow im 2) 1/24) 1/2))) (cos re))
1.0ms	re	@	inf	(* (cos re) (+ (* (pow im 2) 1/24) 1/2))

rewrite221.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

869×	`log1p-expm1-u`
235×	`associate-r`
221×	`expm1-log1p-u`
215×	`add-exp-log`
215×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	288
1	481	264
2	6929	264

Stop Event

1×	node limit

Counts

11 → 230

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 #s(literal 1/24 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1/24 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) (cos.f64 re)))
(+.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) (cos.f64 re)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) (cos.f64 re)) #s(literal 1 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
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(cbrt.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 im)) #s(literal 1 binary64)))

simplify279.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

691×	`associate-r`
653×	`associate-l`
619×	`fma-neg`
476×	`fma-define`
282×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	723	14549
1	1928	13750
2	7399	13736

Stop Event

1×	node limit

Counts

357 → 424

Calls

Call 1

Inputs
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(cos.f64 re)
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))
(.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))
(.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal 1/720 binary64))))))) #s(literal 1/2 binary64)))))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 #s(literal -1/2 binary64) im)
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
im
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) im)) #s(literal 1/6 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) im)) #s(literal 1/6 binary64))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))))) (.f64 #s(literal 1/48 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))))) (.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))
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(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (-.f64 #s(literal 2 binary64) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 im (.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 2 binary64) (.f64 (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 im (.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 im im)
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (.f64 (cbrt.f64 im) im))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
(.f64 (sqrt.f64 im) (.f64 (sqrt.f64 im) im))
(.f64 (.f64 im (sqrt.f64 im)) (sqrt.f64 im))
(.f64 (.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(sqrt.f64 (pow.f64 im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 im)) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (pow.f64 re #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/48 binary64)))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (pow.f64 re #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))))))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (+.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/48 binary64)))) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 re) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 re) (.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 re) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 re) (.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 re) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 re) (.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 re) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 re) (.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 re) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 re) (.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
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(.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 im (.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(fma.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 2 binary64) (.f64 (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 im (.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64))))
(*.f64 im im)
(pow.f64 im #s(literal 2 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 im #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (.f64 (cbrt.f64 im) im))
(pow.f64 im #s(literal 2 binary64))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64))))
(.f64 (sqrt.f64 im) (.f64 (sqrt.f64 im) im))
(pow.f64 im #s(literal 2 binary64))
(.f64 (.f64 im (sqrt.f64 im)) (sqrt.f64 im))
(pow.f64 im #s(literal 2 binary64))
(.f64 (.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(pow.f64 im #s(literal 2 binary64))
(sqrt.f64 (pow.f64 im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))
(pow.f64 im #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 2 binary64)))))
(pow.f64 im #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 im #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 2 binary64))))
(pow.f64 im #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)))
(pow.f64 im #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 im)) #s(literal 1 binary64)))
(pow.f64 im #s(literal 2 binary64))

eval264.0ms (2.7%)

Compiler: Compiled 11901 to 8511 computations (28.5% saved)

prune239.0ms (2.5%)

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	547	7	554
Fresh	3	11	14
Picked	2	3	5
Done	2	3	5
Total	554	24	578

Accuracy

100.0%

Counts

578 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.8%	(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) (+.f64 (.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (cos.f64 re))
	14.1%	(-.f64 #s(literal 2 binary64) (*.f64 re re))
	63.6%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
	54.7%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
	76.6%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64)))))))
	53.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64)))))))))
	53.1%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))
✓	70.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
✓	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓	83.3%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
	76.3%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
✓	2.4%	(*.f64 im #s(literal -1/2 binary64))
	47.6%	(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im #s(literal 1/2 binary64))))) im))
✓	64.1%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	51.8%	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))))
	83.6%	(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))
	9.7%	(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
	8.3%	(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
	9.1%	(neg.f64 (pow.f64 re #s(literal 2 binary64)))
	14.8%	(log1p.f64 (expm1.f64 (*.f64 im #s(literal -1/2 binary64))))
	54.5%	(cos.f64 re)
	8.9%	#s(literal 2 binary64)
	31.7%	#s(literal 1 binary64)
✓	4.0%	#s(literal -1 binary64)

Compiler

Compiled 786 to 589 computations (25.1% saved)

regimes61.0ms (0.6%)

Counts

43 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 im #s(literal -1/2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 re re))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im #s(literal 1/2 binary64))))) im))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im))
(cos.f64 re)
(neg.f64 (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64)))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64)))))))))
(log1p.f64 (expm1.f64 (*.f64 im #s(literal -1/2 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) (+.f64 (.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (cos.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (cos.f64 re))

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

Calls

6 calls:

12.0ms	re
12.0ms	im
11.0ms	(cos.f64 re)
10.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
9.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
100.0%	1	`re`
100.0%	1	`im`
100.0%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
100.0%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
100.0%	1	`(cos.f64 re)`
100.0%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes50.0ms (0.5%)

Counts

40 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 im #s(literal -1/2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 re re))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im #s(literal 1/2 binary64))))) im))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im))
(cos.f64 re)
(neg.f64 (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64)))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64)))))))))
(log1p.f64 (expm1.f64 (*.f64 im #s(literal -1/2 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))

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

Calls

5 calls:

12.0ms	re
12.0ms	im
10.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
9.0ms	(cos.f64 re)
3.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
99.5%	1	`re`
99.5%	1	`im`
99.5%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
99.5%	1	`(cos.f64 re)`
99.5%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 24 to 18 computations (25% saved)

regimes48.0ms (0.5%)

Counts

38 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 im #s(literal -1/2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 re re))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im #s(literal 1/2 binary64))))) im))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im))
(cos.f64 re)
(neg.f64 (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64)))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64)))))))))
(log1p.f64 (expm1.f64 (*.f64 im #s(literal -1/2 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))

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

Calls

5 calls:

12.0ms	(cos.f64 re)
11.0ms	re
10.0ms	im
9.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
2.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
99.2%	1	`re`
99.2%	1	`im`
99.2%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
99.2%	1	`(cos.f64 re)`
99.2%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 24 to 18 computations (25% saved)

regimes158.0ms (1.6%)

Counts

36 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 im #s(literal -1/2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 re re))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im #s(literal 1/2 binary64))))) im))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im))
(cos.f64 re)
(neg.f64 (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64)))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64)))))))))
(log1p.f64 (expm1.f64 (*.f64 im #s(literal -1/2 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Outputs

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

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

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

Calls

5 calls:

63.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
54.0ms	im
20.0ms	re
15.0ms	(cos.f64 re)
3.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
92.8%	2	`re`
95.7%	3	`im`
93.2%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
93.2%	2	`(cos.f64 re)`
86.7%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 24 to 18 computations (25% saved)

regimes39.0ms (0.4%)

Counts

35 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 im #s(literal -1/2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 re re))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im #s(literal 1/2 binary64))))) im))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im))
(cos.f64 re)
(neg.f64 (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64)))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64)))))))))
(log1p.f64 (expm1.f64 (*.f64 im #s(literal -1/2 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))

Outputs

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

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

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

Calls

1 calls:

36.0ms

im

Results

Accuracy	Segments	Branch
95.4%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes35.0ms (0.4%)

Counts

32 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 im #s(literal -1/2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 re re))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im #s(literal 1/2 binary64))))) im))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im))
(cos.f64 re)
(neg.f64 (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64)))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))

Outputs

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

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

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

Calls

1 calls:

33.0ms

im

Results

Accuracy	Segments	Branch
95.3%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes33.0ms (0.3%)

Counts

31 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 im #s(literal -1/2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 re re))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im #s(literal 1/2 binary64))))) im))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im))
(cos.f64 re)
(neg.f64 (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64)))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))

Outputs

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

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

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

Calls

1 calls:

31.0ms

im

Results

Accuracy	Segments	Branch
95.3%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes32.0ms (0.3%)

Counts

29 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 im #s(literal -1/2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 re re))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im #s(literal 1/2 binary64))))) im))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im))
(cos.f64 re)
(neg.f64 (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64)))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))

Outputs

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

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

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

Calls

1 calls:

29.0ms

im

Results

Accuracy	Segments	Branch
95.3%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes21.0ms (0.2%)

Counts

25 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 im #s(literal -1/2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 re re))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im #s(literal 1/2 binary64))))) im))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im))
(cos.f64 re)
(neg.f64 (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))

Outputs

(cos.f64 re)

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

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

Calls

1 calls:

19.0ms

im

Results

Accuracy	Segments	Branch
95.3%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes62.0ms (0.6%)

Counts

24 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 im #s(literal -1/2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 re re))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im #s(literal 1/2 binary64))))) im))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im))
(cos.f64 re)
(neg.f64 (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))

Outputs

(cos.f64 re)

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

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

Calls

4 calls:

18.0ms	im
15.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
15.0ms	re
11.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
88.7%	2	`re`
89.1%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
89.1%	2	`(cos.f64 re)`
92.5%	3	`im`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes42.0ms (0.4%)

Counts

22 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 im #s(literal -1/2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 re re))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im #s(literal 1/2 binary64))))) im))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im))
(cos.f64 re)
(neg.f64 (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))) (exp.f64 im)))

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

Calls

3 calls:

17.0ms	re
12.0ms	im
11.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
78.4%	4	`re`
81.4%	4	`(cos.f64 re)`
86.2%	2	`im`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes14.0ms (0.1%)

Counts

21 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 im #s(literal -1/2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 re re))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im #s(literal 1/2 binary64))))) im))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im))
(cos.f64 re)
(neg.f64 (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))

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

Calls

1 calls:

13.0ms

im

Results

Accuracy	Segments	Branch
86.2%	2	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes26.0ms (0.3%)

Counts

19 → 3

Calls

Call 1

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

Outputs

(cos.f64 re)

(-.f64 #s(literal 2 binary64) (*.f64 re re))

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

Calls

2 calls:

15.0ms	im
9.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
71.6%	4	`(cos.f64 re)`
77.3%	3	`im`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes27.0ms (0.3%)

Counts

14 → 4

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	re
12.0ms	im

Results

Accuracy	Segments	Branch
56.7%	4	`re`
54.9%	3	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts

13 → 4

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

re

Results

Accuracy	Segments	Branch
56.5%	4	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes23.0ms (0.2%)

Counts

12 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 im #s(literal -1/2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 re re))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im #s(literal 1/2 binary64))))) im))

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

Calls

2 calls:

11.0ms	im
7.0ms	re

Results

Accuracy	Segments	Branch
51.0%	3	`im`
51.0%	2	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes15.0ms (0.2%)

Counts

11 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 im #s(literal -1/2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 re re))

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

Calls

2 calls:

8.0ms	im
6.0ms	re

Results

Accuracy	Segments	Branch
38.7%	2	`im`
37.6%	2	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 im #s(literal -1/2 binary64))

Outputs
#s(literal 1 binary64)

Calls

2 calls:

4.0ms	re
3.0ms	im

Results

Accuracy	Segments	Branch
31.7%	1	`re`
31.7%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -1.6b remaining (-2.6%)

Threshold costs -1.6b (-2.6%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)

Outputs
#s(literal -1 binary64)

Calls

2 calls:

1.0ms	re
1.0ms	im

Results

Accuracy	Segments	Branch
4.0%	1	`im`
4.0%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch32.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.499919795820714e+101	2.5199638069075068e+101
18.0ms	0.0009139651636407531	1.8864209000249639

Results

22.0ms

192×

valid

Compiler

Compiled 514 to 414 computations (19.5% saved)

Precisions

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

ival-mult: 6.0ms (37% of total)

ival-cos: 5.0ms (30.9% of total)

ival-exp: 3.0ms (18.5% of total)

ival-add: 1.0ms (6.2% of total)

ival-neg: 1.0ms (6.2% of total)

const: 0.0ms (0% of total)

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

bsearch30.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.499919795820714e+101	2.5199638069075068e+101
19.0ms	0.0009139651636407531	1.8864209000249639

Results

18.0ms

192×

valid

Compiler

Compiled 634 to 510 computations (19.6% saved)

Precisions

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

ival-cos: 5.0ms (39.1% of total)

ival-exp: 3.0ms (23.5% of total)

ival-mult: 3.0ms (23.5% of total)

ival-add: 1.0ms (7.8% of total)

ival-neg: 1.0ms (7.8% of total)

const: 0.0ms (0% of total)

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

bsearch30.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.499919795820714e+101	2.5199638069075068e+101
19.0ms	0.0009139651636407531	1.8864209000249639

Results

20.0ms

192×

valid

Compiler

Compiled 602 to 486 computations (19.3% saved)

Precisions

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

ival-cos: 6.0ms (41.5% of total)

ival-exp: 3.0ms (20.7% of total)

ival-mult: 3.0ms (20.7% of total)

ival-add: 1.0ms (6.9% of total)

ival-neg: 1.0ms (6.9% of total)

const: 0.0ms (0% of total)

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

bsearch31.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.499919795820714e+101	2.5199638069075068e+101
20.0ms	0.0009139651636407531	1.8864209000249639

Results

19.0ms

192×

valid

Compiler

Compiled 554 to 446 computations (19.5% saved)

Precisions

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

ival-cos: 5.0ms (36.6% of total)

ival-mult: 4.0ms (29.3% of total)

ival-exp: 3.0ms (21.9% of total)

ival-add: 1.0ms (7.3% of total)

ival-neg: 1.0ms (7.3% of total)

const: 0.0ms (0% of total)

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

bsearch30.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.499919795820714e+101	2.5199638069075068e+101
19.0ms	0.0009139651636407531	1.8864209000249639

Results

20.0ms

192×

valid

Compiler

Compiled 522 to 422 computations (19.2% saved)

Precisions

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

ival-cos: 5.0ms (35.3% of total)

ival-exp: 3.0ms (21.2% of total)

ival-mult: 3.0ms (21.2% of total)

ival-add: 2.0ms (14.1% of total)

ival-neg: 1.0ms (7.1% of total)

const: 0.0ms (0% of total)

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

bsearch30.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.499919795820714e+101	2.5199638069075068e+101
20.0ms	0.0009139651636407531	1.8864209000249639

Results

21.0ms

192×

valid

Compiler

Compiled 394 to 318 computations (19.3% saved)

Precisions

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

ival-cos: 6.0ms (39.1% of total)

ival-mult: 4.0ms (26.1% of total)

ival-exp: 3.0ms (19.6% of total)

ival-add: 1.0ms (6.5% of total)

ival-neg: 1.0ms (6.5% of total)

const: 0.0ms (0% of total)

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

bsearch38.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	3.407006433317803e+152	2.0273691682924952e+155
18.0ms	0.0009139651636407531	1.8864209000249639

Results

24.0ms

256×

valid

Compiler

Compiled 466 to 382 computations (18% saved)

Precisions

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

ival-cos: 6.0ms (35.2% of total)

ival-mult: 5.0ms (29.4% of total)

ival-exp: 4.0ms (23.5% of total)

ival-add: 1.0ms (5.9% of total)

ival-neg: 1.0ms (5.9% of total)

const: 0.0ms (0% of total)

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

bsearch172.0ms (1.8%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.0009139651636407531	1.8864209000249639

Results

12.0ms

128×

valid

Compiler

Compiled 194 to 158 computations (18.6% saved)

Precisions

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

ival-cos: 3.0ms (35.2% of total)

ival-exp: 2.0ms (23.4% of total)

ival-mult: 2.0ms (23.4% of total)

ival-add: 1.0ms (11.7% of total)

ival-neg: 1.0ms (11.7% of total)

const: 0.0ms (0% of total)

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

bsearch73.0ms (0.8%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.0009139651636407531	1.8864209000249639

Results

12.0ms

128×

valid

Compiler

Compiled 130 to 110 computations (15.4% saved)

Precisions

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

ival-cos: 3.0ms (34.9% of total)

ival-exp: 2.0ms (23.3% of total)

ival-mult: 2.0ms (23.3% of total)

ival-add: 1.0ms (11.6% of total)

ival-neg: 1.0ms (11.6% of total)

const: 0.0ms (0% of total)

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

bsearch38.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.7193061520028708e+106	1.0951948275461828e+111
18.0ms	0.0009139651636407531	1.8864209000249639

Results

25.0ms

256×

valid

Compiler

Compiled 330 to 262 computations (20.6% saved)

Precisions

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

ival-cos: 6.0ms (33.4% of total)

ival-exp: 5.0ms (27.8% of total)

ival-mult: 4.0ms (22.3% of total)

ival-add: 1.0ms (5.6% of total)

ival-neg: 1.0ms (5.6% of total)

const: 0.0ms (0% of total)

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

bsearch62.0ms (0.6%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
16.0ms	1.8189580229998158e+267	1.254448436882111e+269
21.0ms	2.4118152674667087e+226	2.507492854093089e+231
20.0ms	9.194825719701181e+156	2.566382072208548e+159

Results

40.0ms

384×

valid

Compiler

Compiled 658 to 526 computations (20.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-cos: 14.0ms (49.4% of total)

ival-mult: 6.0ms (21.2% of total)

ival-exp: 4.0ms (14.1% of total)

ival-add: 2.0ms (7.1% of total)

ival-neg: 2.0ms (7.1% of total)

const: 1.0ms (3.5% of total)

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

bsearch63.0ms (0.6%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
17.0ms	1.8189580229998158e+267	1.254448436882111e+269
21.0ms	2.4118152674667087e+226	2.507492854093089e+231
21.0ms	9.194825719701181e+156	2.566382072208548e+159

Results

43.0ms

384×

valid

Compiler

Compiled 642 to 518 computations (19.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-cos: 14.0ms (45.8% of total)

ival-mult: 6.0ms (19.6% of total)

ival-exp: 5.0ms (16.4% of total)

ival-add: 3.0ms (9.8% of total)

ival-neg: 2.0ms (6.5% of total)

const: 1.0ms (3.3% of total)

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

bsearch22.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	9.194825719701181e+156	2.566382072208548e+159

Results

16.0ms

128×

valid

Compiler

Compiled 210 to 166 computations (21% saved)

Precisions

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

ival-cos: 6.0ms (49.8% of total)

ival-exp: 3.0ms (24.9% of total)

ival-mult: 2.0ms (16.6% of total)

ival-add: 1.0ms (8.3% of total)

ival-neg: 1.0ms (8.3% of total)

const: 0.0ms (0% of total)

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

bsearch21.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.0208770345348737e-9	0.0009139651636407531

Results

15.0ms

144×

valid

Compiler

Compiled 126 to 104 computations (17.5% saved)

Precisions

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

ival-exp: 3.0ms (28.4% of total)

ival-cos: 3.0ms (28.4% of total)

ival-mult: 2.0ms (18.9% of total)

ival-add: 1.0ms (9.5% of total)

ival-neg: 1.0ms (9.5% of total)

const: 0.0ms (0% of total)

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

simplify39.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

34×	`*-commutative`
32×	`+-commutative`
10×	`sub-neg`
4×	`neg-sub0`
4×	`mul-1-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	128	2292
1	205	2247
2	223	2247
3	238	2243
4	241	2243
5	242	2243

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
(if (<=.f64 im #s(literal 1261007895663739/36028797018963968 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))) (if (<=.f64 im #s(literal 249999999999999994262378316311334157111710679981037501532498993682998363045197477825815323620377886720 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))))))
(if (<=.f64 im #s(literal 4165829655317709/2251799813685248 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))) (if (<=.f64 im #s(literal 249999999999999994262378316311334157111710679981037501532498993682998363045197477825815323620377886720 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))))
(if (<=.f64 im #s(literal 4165829655317709/2251799813685248 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))) (if (<=.f64 im #s(literal 249999999999999994262378316311334157111710679981037501532498993682998363045197477825815323620377886720 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))))))
(if (<=.f64 im #s(literal 4165829655317709/2251799813685248 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))) (if (<=.f64 im #s(literal 249999999999999994262378316311334157111710679981037501532498993682998363045197477825815323620377886720 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))))))
(if (<=.f64 im #s(literal 7656119366529843/4503599627370496 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))) (if (<=.f64 im #s(literal 249999999999999994262378316311334157111710679981037501532498993682998363045197477825815323620377886720 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))))
(if (<=.f64 im #s(literal 4842270319348757/1152921504606846976 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 249999999999999994262378316311334157111710679981037501532498993682998363045197477825815323620377886720 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))))
(if (<=.f64 im #s(literal 6052837899185947/144115188075855872 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 18600000000000001371964575182288353110952047418638712244454821183308609436372115294919374929921975096188576918280632604687823181061447439382423420239085568 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im #s(literal 1/2 binary64))))))))
(if (<=.f64 im #s(literal 8286623314361713/9007199254740992 binary64)) (cos.f64 re) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))) (exp.f64 im))))
(if (<=.f64 im #s(literal 4165829655317709/2251799813685248 binary64)) (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 4165829655317709/2251799813685248 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 17499999999999999046835012963340004847500834403848313435869058323551266771689273073293190466526938604240896 binary64)) (-.f64 #s(literal 2 binary64) (.f64 re re)) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))))
(if (<=.f64 re #s(literal 125999999999999993330382855120215190846720339572367831895819898877627686338784379294738079458422236362551267771977684109856616790995753533412783682703637610496 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im)) (if (<=.f64 re #s(literal 25000000000000002320836759300579977422258711311262692774612847031730857020492394980007410302272065635735781702455693424436806534462769117742386896471843302033980990876246568867726756323060008490509487070043509376289520117350400 binary64)) (-.f64 #s(literal 2 binary64) (.f64 re re)) (if (<=.f64 re #s(literal 66000000000000001912702541939370036353520568544485694351567645108995157394118909237623123380645065871196231088670188461508961602577491867630009259699795158231339425808580922492534504680902724818647385497207121636425894858057826690079558634035599493331873960505005572096 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))))) (-.f64 #s(literal 2 binary64) (.f64 re re)))))
(if (<=.f64 re #s(literal 125999999999999993330382855120215190846720339572367831895819898877627686338784379294738079458422236362551267771977684109856616790995753533412783682703637610496 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))))) (if (<=.f64 re #s(literal 25000000000000002320836759300579977422258711311262692774612847031730857020492394980007410302272065635735781702455693424436806534462769117742386896471843302033980990876246568867726756323060008490509487070043509376289520117350400 binary64)) (-.f64 #s(literal 2 binary64) (.f64 re re)) (if (<=.f64 re #s(literal 66000000000000001912702541939370036353520568544485694351567645108995157394118909237623123380645065871196231088670188461508961602577491867630009259699795158231339425808580922492534504680902724818647385497207121636425894858057826690079558634035599493331873960505005572096 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))))) (-.f64 #s(literal 2 binary64) (.f64 re re)))))
(if (<=.f64 re #s(literal 125999999999999993330382855120215190846720339572367831895819898877627686338784379294738079458422236362551267771977684109856616790995753533412783682703637610496 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))) im)) (-.f64 #s(literal 2 binary64) (.f64 re re)))
(if (<=.f64 im #s(literal 4150517416584649/4611686018427387904 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 re re)))
#s(literal 1 binary64)
#s(literal -1 binary64)

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) #s(literal 1 binary64)))
(if (<=.f64 im #s(literal 1261007895663739/36028797018963968 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))) (if (<=.f64 im #s(literal 249999999999999994262378316311334157111710679981037501532498993682998363045197477825815323620377886720 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))))))
(if (<=.f64 im #s(literal 1261007895663739/36028797018963968 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal -1/6 binary64)))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))) (if (<=.f64 im #s(literal 249999999999999994262378316311334157111710679981037501532498993682998363045197477825815323620377886720 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 1261007895663739/36028797018963968 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal -1/6 binary64)))) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))) (if (<=.f64 im #s(literal 249999999999999994262378316311334157111710679981037501532498993682998363045197477825815323620377886720 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))))
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(if (<=.f64 re #s(literal 125999999999999993330382855120215190846720339572367831895819898877627686338784379294738079458422236362551267771977684109856616790995753533412783682703637610496 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))) im)) (if (or (<=.f64 re #s(literal 25000000000000002320836759300579977422258711311262692774612847031730857020492394980007410302272065635735781702455693424436806534462769117742386896471843302033980990876246568867726756323060008490509487070043509376289520117350400 binary64)) (not (<=.f64 re #s(literal 66000000000000001912702541939370036353520568544485694351567645108995157394118909237623123380645065871196231088670188461508961602577491867630009259699795158231339425808580922492534504680902724818647385497207121636425894858057826690079558634035599493331873960505005572096 binary64)))) (-.f64 #s(literal 2 binary64) (.f64 re re)) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 re #s(literal 125999999999999993330382855120215190846720339572367831895819898877627686338784379294738079458422236362551267771977684109856616790995753533412783682703637610496 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))))) (if (<=.f64 re #s(literal 25000000000000002320836759300579977422258711311262692774612847031730857020492394980007410302272065635735781702455693424436806534462769117742386896471843302033980990876246568867726756323060008490509487070043509376289520117350400 binary64)) (-.f64 #s(literal 2 binary64) (.f64 re re)) (if (<=.f64 re #s(literal 66000000000000001912702541939370036353520568544485694351567645108995157394118909237623123380645065871196231088670188461508961602577491867630009259699795158231339425808580922492534504680902724818647385497207121636425894858057826690079558634035599493331873960505005572096 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))))) (-.f64 #s(literal 2 binary64) (.f64 re re)))))
(if (<=.f64 re #s(literal 125999999999999993330382855120215190846720339572367831895819898877627686338784379294738079458422236362551267771977684109856616790995753533412783682703637610496 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64)))))))) (if (or (<=.f64 re #s(literal 25000000000000002320836759300579977422258711311262692774612847031730857020492394980007410302272065635735781702455693424436806534462769117742386896471843302033980990876246568867726756323060008490509487070043509376289520117350400 binary64)) (not (<=.f64 re #s(literal 66000000000000001912702541939370036353520568544485694351567645108995157394118909237623123380645065871196231088670188461508961602577491867630009259699795158231339425808580922492534504680902724818647385497207121636425894858057826690079558634035599493331873960505005572096 binary64)))) (-.f64 #s(literal 2 binary64) (.f64 re re)) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))))
(if (or (<=.f64 re #s(literal 125999999999999993330382855120215190846720339572367831895819898877627686338784379294738079458422236362551267771977684109856616790995753533412783682703637610496 binary64)) (not (or (<=.f64 re #s(literal 25000000000000002320836759300579977422258711311262692774612847031730857020492394980007410302272065635735781702455693424436806534462769117742386896471843302033980990876246568867726756323060008490509487070043509376289520117350400 binary64)) (not (<=.f64 re #s(literal 66000000000000001912702541939370036353520568544485694351567645108995157394118909237623123380645065871196231088670188461508961602577491867630009259699795158231339425808580922492534504680902724818647385497207121636425894858057826690079558634035599493331873960505005572096 binary64)))))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64)))))))) (-.f64 #s(literal 2 binary64) (*.f64 re re)))
(if (or (<=.f64 re #s(literal 125999999999999993330382855120215190846720339572367831895819898877627686338784379294738079458422236362551267771977684109856616790995753533412783682703637610496 binary64)) (and (not (<=.f64 re #s(literal 25000000000000002320836759300579977422258711311262692774612847031730857020492394980007410302272065635735781702455693424436806534462769117742386896471843302033980990876246568867726756323060008490509487070043509376289520117350400 binary64))) (<=.f64 re #s(literal 66000000000000001912702541939370036353520568544485694351567645108995157394118909237623123380645065871196231088670188461508961602577491867630009259699795158231339425808580922492534504680902724818647385497207121636425894858057826690079558634035599493331873960505005572096 binary64)))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64)))))))) (-.f64 #s(literal 2 binary64) (*.f64 re re)))
(if (<=.f64 re #s(literal 125999999999999993330382855120215190846720339572367831895819898877627686338784379294738079458422236362551267771977684109856616790995753533412783682703637610496 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))) im)) (-.f64 #s(literal 2 binary64) (.f64 re re)))
(if (<=.f64 re #s(literal 125999999999999993330382855120215190846720339572367831895819898877627686338784379294738079458422236362551267771977684109856616790995753533412783682703637610496 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))) im)) (-.f64 #s(literal 2 binary64) (.f64 re re)))
(if (<=.f64 im #s(literal 4150517416584649/4611686018427387904 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 re re)))
#s(literal 1 binary64)
#s(literal -1 binary64)

soundness996.0ms (10.3%)

Rules

869×	`log1p-expm1-u`
760×	`fma-neg`
723×	`fma-define`
718×	`associate-*r/`
615×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	137
1	202	137
2	3306	137
0	659	12957
1	1605	11938
2	6797	11932
0	197	3069
1	505	2795
2	1615	2620
3	5101	2588
0	32	288
1	481	264
2	6929	264
0	32	256
1	477	232
2	7594	232
0	676	14472
1	1860	13395
2	7252	13375

Stop Event

1×	fuel
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	unsound

Compiler

Compiled 843 to 605 computations (28.2% saved)

preprocess241.0ms (2.5%)

Remove

(abs im)

(abs re)

Compiler

Compiled 1562 to 1122 computations (28.2% saved)

Iter	Nodes	Cost
0	16	128
1	33	128
2	79	128
3	132	126
4	165	126
5	200	126
6	232	126
7	243	126
8	245	126
9	250	126
10	250	126

Iter	Nodes	Cost
0	16	128
1	33	128
2	79	128
3	132	126
4	165	126
5	200	126
6	232	126
7	243	126
8	245	126
9	250	126
10	250	126

analyze0.0ms (0%)

sample1.6s (16.5%)

preprocess136.0ms (1.4%)

explain109.0ms (1.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize72.0ms (0.7%)

series12.0ms (0.1%)

rewrite341.0ms (3.5%)

simplify88.0ms (0.9%)

eval59.0ms (0.6%)

prune148.0ms (1.5%)

localize654.0ms (6.8%)

series20.0ms (0.2%)

rewrite201.0ms (2.1%)

simplify199.0ms (2.1%)

eval157.0ms (1.6%)

prune115.0ms (1.2%)

localize755.0ms (7.8%)

series23.0ms (0.2%)

rewrite227.0ms (2.3%)

simplify212.0ms (2.2%)

eval189.0ms (2%)

prune122.0ms (1.3%)

localize543.0ms (5.6%)

series44.0ms (0.5%)

rewrite221.0ms (2.3%)

simplify279.0ms (2.9%)

eval264.0ms (2.7%)

prune239.0ms (2.5%)

regimes61.0ms (0.6%)

regimes50.0ms (0.5%)

regimes48.0ms (0.5%)

regimes158.0ms (1.6%)

regimes39.0ms (0.4%)

regimes35.0ms (0.4%)

regimes33.0ms (0.3%)

regimes32.0ms (0.3%)

regimes21.0ms (0.2%)

regimes62.0ms (0.6%)

regimes42.0ms (0.4%)

regimes14.0ms (0.1%)

regimes26.0ms (0.3%)

regimes27.0ms (0.3%)

regimes13.0ms (0.1%)

regimes23.0ms (0.2%)

regimes15.0ms (0.2%)

regimes8.0ms (0.1%)

regimes3.0ms (0%)

bsearch32.0ms (0.3%)

bsearch30.0ms (0.3%)

bsearch30.0ms (0.3%)

bsearch31.0ms (0.3%)

bsearch30.0ms (0.3%)

bsearch30.0ms (0.3%)

bsearch38.0ms (0.4%)

bsearch172.0ms (1.8%)

bsearch73.0ms (0.8%)

bsearch38.0ms (0.4%)

bsearch62.0ms (0.6%)

bsearch63.0ms (0.6%)

bsearch22.0ms (0.2%)

bsearch21.0ms (0.2%)

simplify39.0ms (0.4%)

soundness996.0ms (10.3%)

preprocess241.0ms (2.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	128
1	33	128
2	79	128
3	132	126
4	165	126
5	200	126
6	232	126
7	243	126
8	245	126
9	250	126
10	250	126