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)

sample1.8s (22.9%)

Results

1.3s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 936.0ms

ival-mult: 297.0ms (31.7% of total)

ival-cos: 285.0ms (30.4% of total)

ival-exp: 190.0ms (20.3% of total)

ival-neg: 106.0ms (11.3% of total)

ival-add: 44.0ms (4.7% of total)

const: 11.0ms (1.2% of total)

backward-pass: 3.0ms (0.3% of total)

Bogosity

preprocess409.0ms (5.2%)

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)

explain242.0ms (3.1%)

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	(4.8572190625160815e-294 148.67254338136104)	-	`(exp.f64 (neg.f64 im))`
0	-	-	`(exp.f64 im)`

Results

203.0ms

512×

valid

Compiler

Compiled 85 to 38 computations (55.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-cos: 74.0ms (75.2% of total)

ival-mult: 12.0ms (12.2% of total)

ival-exp: 6.0ms (6.1% of total)

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

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

const: 1.0ms (1% 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)))
▶	100.0%	(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))

Status

Accuracy

Program

▶

100.0%

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

▶

100.0%

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

Compiler

Compiled 26 to 19 computations (26.9% saved)

localize295.0ms (3.8%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

61×	`fma-define`
27×	`associate-r`
21×	`associate-l`
13×	`*-commutative`
11×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	236
1	40	236
2	94	236
3	159	236
4	187	236
5	222	236
6	254	236
7	265	236
8	267	236
9	272	236
10	272	236

Stop Event

1×

saturated

Calls

Call 1

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

Results

199.0ms

256×

valid

Compiler

Compiled 66 to 26 computations (60.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-div: 49.0ms (65.7% of total)

ival-mult: 6.0ms (8% of total)

ival-fma: 6.0ms (8% of total)

ival-cos: 6.0ms (8% of total)

ival-exp: 3.0ms (4% of total)

ival-add: 1.0ms (1.3% of total)

const: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

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

series83.0ms (1.1%)

Counts

6 → 60

Calls

Call 1

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

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

Calls

21 calls:

Time	Variable		Point	Expression
68.0ms	im	@	-inf	(+ (* 1/2 (exp im)) (/ 1/2 (exp im)))
2.0ms	im	@	-inf	(* (cos re) (+ (* 1/2 (exp im)) (/ 1/2 (exp im))))
1.0ms	re	@	inf	(* (cos re) (+ (* 1/2 (exp im)) (/ 1/2 (exp im))))
1.0ms	im	@	inf	(+ (* 1/2 (exp im)) (/ 1/2 (exp im)))
1.0ms	re	@	0	(* (cos re) (+ (* 1/2 (exp im)) (/ 1/2 (exp im))))

rewrite318.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

97×	`add-exp-log`
97×	`add-log-exp`
97×	`log1p-expm1-u`
97×	`expm1-log1p-u`
95×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	100
1	222	100
2	3374	100

Stop Event

1×

unsound

Counts

6 → 55

Calls

Call 1

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

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

simplify118.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

797×	`fma-define`
737×	`distribute-lft-in`
691×	`distribute-rgt-in`
662×	`associate-r`
516×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	188	2914
1	486	2635
2	1509	2554
3	5143	2485

Stop Event

1×	node limit

Counts

115 → 137

Calls

Call 1

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

Outputs
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) im))
(fma.f64 #s(literal -1/2 binary64) im #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 im (-.f64 (.f64 #s(literal 1/4 binary64) im) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 #s(literal 1/4 binary64) im #s(literal -1/2 binary64))))
(fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) im))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 im (fma.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal -1/12 binary64))) #s(literal -1/2 binary64))))
(fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/12 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
#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 1/12 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)) #s(literal 1/12 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 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 1/12 binary64) (*.f64 #s(literal 1/360 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 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/360 binary64)))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 im im (fma.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 im #s(literal 4 binary64)) #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 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) 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 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 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 1 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 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 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 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64)))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.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 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.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 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.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 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.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 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.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 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.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 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.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 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (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 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 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)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 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))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64))) #s(literal -1/2 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 -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.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 -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 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) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (.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 -1/2 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (+.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 4 binary64)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (.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 -1/2 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.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 -1/720 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))) (.f64 #s(literal 1/24 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (pow.f64 re #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))))))))
(+.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (pow.f64 re #s(literal 4 binary64)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(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 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 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)) (fma.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)))))
(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 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64))))
(+.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 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.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)))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (cos.f64 re))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re) (.f64 (.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(*.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) (fma.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) im)
(+.f64 im #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))
(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 #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 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))
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) re))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) re)) #s(literal -1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 re))) #s(literal -1 binary64))
(+.f64 (exp.f64 (log1p.f64 (cos.f64 re))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 re)))
(+.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal -1 binary64))
(neg.f64 (cos.f64 re))
(*.f64 #s(literal -1 binary64) (cos.f64 re))
(neg.f64 (cos.f64 re))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -1/2 binary64))
(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) re)) (cos.f64 #s(literal 0 binary64))) #s(literal -1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) re))) #s(literal -1/2 binary64))
(pow.f64 (cos.f64 re) #s(literal -1/2 binary64))
(pow.f64 (cos.f64 re) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 re))
(pow.f64 (cos.f64 re) #s(literal 3 binary64))
(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))))
(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)))
(/.f64 #s(literal 1 binary64) (cos.f64 re))
(+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(neg.f64 (cos.f64 re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))) #s(literal -1 binary64))
(+.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(/.f64 #s(literal -2 binary64) (cos.f64 re))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 3 binary64))
(*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) #s(literal -1/8 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(sqrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(fabs.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (cos.f64 re)))
(log.f64 (pow.f64 #s(literal -1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))))
(log.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (cos.f64 re)) #s(literal -2 binary64)))
(cbrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 0 binary64))
(*.f64 #s(literal -1/2 binary64) (cos.f64 re))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 0 binary64))
(*.f64 #s(literal -1/2 binary64) (cos.f64 re))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 0 binary64))
(*.f64 #s(literal -1/2 binary64) (cos.f64 re))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(/.f64 #s(literal -2 binary64) (cos.f64 re))
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)

eval171.0ms (2.2%)

Compiler: Compiled 2979 to 1811 computations (39.2% saved)

prune501.0ms (6.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	186	5	191
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	188	5	193

Accuracy

100.0%

Counts

193 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.5%	(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
▶	74.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
▶	82.7%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 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)))))))))
▶	99.7%	(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
▶	49.3%	(cos.f64 re)

Compiler

Compiled 114 to 90 computations (21.1% saved)

localize366.0ms (4.7%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

737×	`distribute-lft-in`
674×	`distribute-rgt-in`
506×	`unsub-neg`
415×	`fma-define`
312×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	577
1	83	513
2	232	513
3	674	509
4	2079	509
5	4571	509
6	4782	509
7	5373	509
8	6322	509
9	7048	509

Stop Event

1×	node limit

Calls

Call 1

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

Results

156.0ms

256×

valid

Compiler

Compiled 167 to 100 computations (40.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-mult: 51.0ms (45.1% of total)

ival-add: 21.0ms (18.6% of total)

ival-fma: 17.0ms (15% of total)

ival-cos: 14.0ms (12.4% of total)

const: 5.0ms (4.4% of total)

ival-exp: 3.0ms (2.7% of total)

ival-neg: 1.0ms (0.9% of total)

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

series15.0ms (0.2%)

Counts

6 → 76

Calls

Call 1

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

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

Calls

21 calls:

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

rewrite152.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

982×	`prod-diff`
974×	`log1p-expm1-u`
143×	`associate-r`
143×	`expm1-log1p-u`
141×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	140
1	321	124
2	4368	124

Stop Event

1×	node limit

Counts

6 → 139

Calls

Call 1

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

Outputs
(-.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 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 im #s(literal 1/2 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 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)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im)))
(/.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) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im)))
(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 im (*.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(+.f64 im (.f64 (.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64))) im)
(-.f64 (exp.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))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64))) (.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (.f64 im (.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64))) (.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (-.f64 im (.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (.f64 im (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (+.f64 #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)) (.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(/.f64 (.f64 im (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) im) (+.f64 #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)) (.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) im) (-.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 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)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (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 im #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)))
(fma.f64 im #s(literal 1 binary64) (*.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) im (*.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 im) (*.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 im) (sqrt.f64 im) (*.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (cos.f64 re))))))
(.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (cos.f64 re)))) (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (cos.f64 re)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 re)))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (cos.f64 re))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 2 binary64)))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 2 binary64))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64))
(fma.f64 (cos.f64 re) #s(literal -1/2 binary64) #s(literal 2 binary64))
(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))) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re))) (sqrt.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re))) #s(literal 2 binary64))
(+.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1/2 binary64))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))

simplify114.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

713×	`distribute-lft-in`
704×	`distribute-rgt-in`
284×	`associate-r`
281×	`cancel-sign-sub-inv`
278×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	422	6473
1	1055	6167
2	3505	6140

Stop Event

1×	node limit

Counts

215 → 237

Calls

Call 1

Inputs
(*.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))))
#s(literal 3/2 binary64)
(+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 3/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 re #s(literal 2 binary64))))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (cos.f64 re))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 2 binary64)))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 2 binary64))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64))
(fma.f64 (cos.f64 re) #s(literal -1/2 binary64) #s(literal 2 binary64))
(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))) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re))) (sqrt.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re))) #s(literal 2 binary64))
(+.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1/2 binary64))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))

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

eval240.0ms (3.1%)

Compiler: Compiled 7560 to 5134 computations (32.1% saved)

prune129.0ms (1.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	417	9	426
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	420	11	431

Accuracy

100.0%

Counts

431 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	27.9%	(/.f64 #s(literal 1 binary64) (cos.f64 re))
	7.8%	(+.f64 #s(literal 2 binary64) (cos.f64 re))
▶	29.1%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
	64.8%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
✓	74.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
▶	99.7%	(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1/2 binary64)))
	82.4%	(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64))))))))
▶	74.2%	(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
	50.2%	(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))
✓	49.3%	(cos.f64 re)
▶	8.5%	#s(literal 3/2 binary64)

Compiler

Compiled 185 to 151 computations (18.4% saved)

localize168.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (cos.f64 re))
	cost-diff	0	(exp.f64 im)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
	cost-diff	0	(cos.f64 re)
✓	accuracy	100.0%	(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64))))
✓	accuracy	100.0%	(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1/2 binary64)))
✓	accuracy	99.9%	(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (cos.f64 re))

Rules

266×	`fma-define`
60×	`associate-r`
55×	`associate-l`
41×	`distribute-lft-in`
34×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	312
1	64	284
2	138	284
3	313	284
4	542	284
5	667	284
6	668	284

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

101.0ms

256×

valid

Compiler

Compiled 100 to 65 computations (35% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 30.0ms (45.5% of total)

ival-add: 12.0ms (18.2% of total)

ival-cos: 9.0ms (13.7% of total)

ival-pow: 8.0ms (12.1% of total)

const: 4.0ms (6.1% of total)

ival-div: 2.0ms (3% of total)

ival-exp: 2.0ms (3% of total)

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

series13.0ms (0.2%)

Counts

5 → 68

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) (cos.f64 re))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))>
#<alt (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1/2 binary64)))>
#<alt (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (exp.f64 im))>

Outputs
#<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 #s(literal 1/2 binary64) (.f64 #s(literal 5/24 binary64) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 61/720 binary64) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im)))))) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))))))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))))) (.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 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im)))))) (.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im)))))))))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 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 1/4 binary64) (.f64 im (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (.f64 #s(literal 1/4 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 1/4 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) im))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) im)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) im)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal 1/4 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 1/4 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) im))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.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))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.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))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))>
#<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 1/2 binary64) (exp.f64 im))))) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))))))))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (.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 1/2 binary64) (exp.f64 im))))) (.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))))))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 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 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im)))>
#<alt (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im)))>
#<alt (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im)))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 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 1/4 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 1/4 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 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 1/4 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 1/4 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) im))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im))))))>

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	re	@	inf	(* (cos re) (+ 1 (* im (+ 1/2 (* im 1/4)))))
1.0ms	re	@	0	(* (cos re) (+ 1 (* im (+ 1/2 (* im 1/4)))))
1.0ms	im	@	-inf	(* (cos re) (+ 1 (* im (+ 1/2 (* im 1/4)))))
1.0ms	im	@	inf	(* (cos re) (+ 1 (* im (+ 1/2 (* im 1/4)))))
0.0ms	re	@	-inf	(/ 1 (cos re))

rewrite153.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1001×	`log1p-expm1-u`
1001×	`expm1-log1p-u`
147×	`associate-r`
146×	`add-exp-log`
146×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	126
1	326	114
2	4621	114

Stop Event

1×	node limit

Counts

5 → 115

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1/2 binary64)))
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (cos.f64 re)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 re)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 re))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 re))) (cbrt.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 re))))
(*.f64 (pow.f64 (cos.f64 re) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 re)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (cos.f64 re)) #s(literal -1 binary64)))
(pow.f64 (cos.f64 re) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 re)))
(sqrt.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (cos.f64 re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (cos.f64 re)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (cos.f64 re))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (cos.f64 re))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 re))))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 re))) #s(literal 1 binary64)))
(+.f64 (cos.f64 re) (.f64 (cos.f64 re) (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(+.f64 (cos.f64 re) (.f64 (.f64 (cos.f64 re) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 (cos.f64 re) (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) (cos.f64 re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 re) (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 re) (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) (.f64 (cos.f64 re) (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) (.f64 (cos.f64 re) (.f64 (cos.f64 re) (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 re) (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) (.f64 (cos.f64 re) (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))) (-.f64 (cos.f64 re) (.f64 (cos.f64 re) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))
(/.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))
(/.f64 (.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (cos.f64 re)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cos.f64 re)) (-.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(pow.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (.f64 (cos.f64 re) (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (cos.f64 re) #s(literal 1 binary64) (.f64 (cos.f64 re) (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 re)) (.f64 (cos.f64 re) (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (sqrt.f64 (cos.f64 re)) (sqrt.f64 (cos.f64 re)) (.f64 (cos.f64 re) (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(+.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (-.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (-.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(/.f64 (.f64 (cos.f64 re) (+.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/8 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (exp.f64 im) #s(literal 1/4 binary64)))))
(/.f64 (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -1/2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) (cos.f64 re)) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (exp.f64 im) #s(literal 1/4 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (cos.f64 re)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(+.f64 (.f64 im #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 1/4 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 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (fma.f64 im (fma.f64 im #s(literal 1/4 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 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 (.f64 im #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))) (-.f64 (.f64 im #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (.f64 im (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/64 binary64)) #s(literal 1/8 binary64))) (-.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64))) (.f64 #s(literal 1/8 binary64) im)))
(/.f64 (.f64 im (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) im)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/64 binary64)) #s(literal 1/8 binary64)) im) (-.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64))) (.f64 #s(literal 1/8 binary64) im)))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64))) im) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) im)))
(pow.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/4 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 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 im #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) im (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(exp.f64 (+.f64 im (log.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (+.f64 im (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))

simplify118.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

832×	`distribute-lft-in`
526×	`times-frac`
396×	`cancel-sign-sub-inv`
347×	`fma-define`
339×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	403	6739
1	1129	6466
2	4099	6432

Stop Event

1×	node limit

Counts

183 → 226

Calls

Call 1

Inputs
#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 #s(literal 1/2 binary64) (.f64 #s(literal 5/24 binary64) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 61/720 binary64) (pow.f64 re #s(literal 2 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im)))))) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))))))))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))))) (.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 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im)))))) (.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im)))))))))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) 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 1/4 binary64) (.f64 im (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) im))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) im)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) im)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) im))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.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))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.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))))
(+.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 -1/2 binary64) (.f64 (pow.f64 re #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) (exp.f64 im))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 re #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 1/2 binary64) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (.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 1/2 binary64) (exp.f64 im))))) (.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))))))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 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 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) im)
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im)))
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im)))
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))
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(pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(exp.f64 (+.f64 im (log.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (+.f64 im (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))

Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 5/24 binary64) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 5/24 binary64)))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 61/720 binary64) (pow.f64 re #s(literal 2 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 61/720 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 61/720 binary64) #s(literal 5/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))))
(fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im)))))) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im)))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))))))))))
(+.f64 (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64)))) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))))) (.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 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im)))))) (.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im)))))))))))
(+.f64 (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/24 binary64)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (.f64 (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(+.f64 (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (pow.f64 re #s(literal 4 binary64)))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))
(*.f64 (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))
(*.f64 (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))
(*.f64 (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))
(*.f64 (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))
(*.f64 (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))
(*.f64 (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))
(*.f64 (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))
(*.f64 (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (cos.f64 re))
(cos.f64 re)
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 im (cos.f64 re))))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) im) #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 (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #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 (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (cos.f64 re))
(.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))
(.f64 (cos.f64 re) (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) im))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (cos.f64 re) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) im))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) im) (.f64 #s(literal 1/4 binary64) (cos.f64 re))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) im)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) im) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) im)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) im) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))
(.f64 (cos.f64 re) (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) im))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (cos.f64 re) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) im))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) im) (.f64 #s(literal 1/4 binary64) (cos.f64 re))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.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))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.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))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 re)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) im)) im)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 re)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) (/.f64 (cos.f64 re) (neg.f64 im))) im)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.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))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.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))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 re)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) im)) im)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 re)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 re) (/.f64 (cos.f64 re) (neg.f64 im))) im)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #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 1/2 binary64) (exp.f64 im))))) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal -1/4 binary64) (.f64 (exp.f64 im) #s(literal -1/4 binary64))))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal -1/4 binary64) (.f64 (exp.f64 im) #s(literal -1/4 binary64)))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))))))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64)))))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (.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 1/2 binary64) (exp.f64 im))))) (.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))))))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) (.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))))))
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(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(fma.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(+.f64 (.f64 im #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 im #s(literal 1/2 binary64)))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(-.f64 (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 im #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 (.f64 im #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(/.f64 (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) im)))))
(/.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/8 binary64) (.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)))) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal 1/4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 3 binary64)))))
(/.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/8 binary64) (.f64 #s(literal 1/64 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/8 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))) (-.f64 (.f64 im #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/16 binary64) (pow.f64 im #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) im (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/16 binary64))) (fma.f64 #s(literal 1/2 binary64) im (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(/.f64 (.f64 im (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/64 binary64)) #s(literal 1/8 binary64))) (-.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64))) (.f64 #s(literal 1/8 binary64) im)))
(/.f64 (.f64 im (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 im #s(literal 1/8 binary64)))))
(/.f64 (.f64 im (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64) (.f64 im #s(literal -1/8 binary64)))))
(.f64 im (/.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (+.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (.f64 im #s(literal -1/8 binary64)))))
(/.f64 (.f64 im (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) im)))
(.f64 im (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -1/4 binary64)))))
(.f64 im (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/16 binary64))) (fma.f64 im #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/16 binary64))) (/.f64 im (fma.f64 im #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/64 binary64)) #s(literal 1/8 binary64)) im) (-.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64))) (.f64 #s(literal 1/8 binary64) im)))
(/.f64 (.f64 im (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 im #s(literal 1/8 binary64)))))
(/.f64 (.f64 im (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64) (.f64 im #s(literal -1/8 binary64)))))
(.f64 im (/.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (+.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (.f64 im #s(literal -1/8 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64))) im) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) im)))
(.f64 im (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -1/4 binary64)))))
(.f64 im (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/16 binary64))) (fma.f64 im #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/16 binary64))) (/.f64 im (fma.f64 im #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(pow.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 im #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) im (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(pow.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(exp.f64 (+.f64 im (log.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(exp.f64 (*.f64 (+.f64 im (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))

eval86.0ms (1.1%)

Compiler: Compiled 5472 to 3759 computations (31.3% saved)

prune60.0ms (0.8%)

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	338	5	343
Fresh	2	2	4
Picked	1	4	5
Done	0	2	2
Total	341	13	354

Accuracy

100.0%

Counts

354 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	27.9%	(/.f64 #s(literal 1 binary64) (cos.f64 re))
▶	44.9%	(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))))
✓	29.1%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
▶	64.8%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
	52.9%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 re)) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
▶	50.2%	(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)) (cos.f64 re))
	46.2%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64))))))
✓	74.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
▶	82.4%	(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64))))))))
✓	74.2%	(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
✓	49.3%	(cos.f64 re)
✓	8.5%	#s(literal 3/2 binary64)
▶	25.8%	#s(literal 1 binary64)

Compiler

Compiled 217 to 178 computations (18% saved)

localize230.0ms (3%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
✓	cost-diff	0	(*.f64 #s(literal 1/4 binary64) im)
✓	cost-diff	0	(*.f64 im #s(literal 1/12 binary64))
	cost-diff	0	(cos.f64 re)
✓	accuracy	99.9%	(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)) (cos.f64 re))
✓	accuracy	99.9%	(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))
✓	accuracy	99.9%	(.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64))))
✓	accuracy	99.5%	(*.f64 im #s(literal 1/12 binary64))

Rules

1060×	`fma-define`
161×	`distribute-lft-in`
155×	`associate-r`
140×	`distribute-rgt-in`
115×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	449
1	74	381
2	170	381
3	401	381
4	1032	381
5	1855	381
6	2151	381
7	2158	381

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64))))))))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(cos.f64 re)
re
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))
(*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
im
(+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64)))))
(fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64))))
(*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))
(fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 im #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))))
(fma.f64 im (fma.f64 im #s(literal 1/4 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 1/4 binary64) im)))
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64))))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
im
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))
(+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))
(fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) im)
(*.f64 im #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(exp.f64 im)
im
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)))
(*.f64 (cos.f64 re) (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))
(fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 im #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
im
#s(literal 1 binary64)
(cos.f64 re)
re

Results

129.0ms

256×

valid

Compiler

Compiled 140 to 98 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-mult: 50.0ms (57.2% of total)

ival-add: 25.0ms (28.6% of total)

ival-cos: 6.0ms (6.9% of total)

const: 5.0ms (5.7% of total)

ival-exp: 2.0ms (2.3% of total)

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

series70.0ms (0.9%)

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (*.f64 im #s(literal 1/12 binary64))>
#<alt (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64))))>
#<alt (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))>
#<alt (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)) (cos.f64 re))>
#<alt (*.f64 #s(literal 1/4 binary64) im)>

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

Calls

18 calls:

Time	Variable		Point	Expression
59.0ms	im	@	inf	(* 1/4 im)
1.0ms	re	@	0	(* (+ (* 1/2 im) 1) (cos re))
1.0ms	re	@	inf	(* (+ (* 1/2 im) 1) (cos re))
1.0ms	im	@	-inf	(* im (+ 1/4 (* im 1/12)))
0.0ms	im	@	inf	(* im (+ 1/4 (* im 1/12)))

rewrite146.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

911×	`prod-diff`
900×	`log1p-expm1-u`
526×	`expm1-log1p-u`
143×	`associate-r`
131×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	110
1	301	98
2	4111	98

Stop Event

1×	node limit

Counts

5 → 105

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 im #s(literal 1/12 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im #s(literal 1/12 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im #s(literal 1/12 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/1728 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im #s(literal 1/12 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/144 binary64)))
(log.f64 (pow.f64 (exp.f64 im) #s(literal 1/12 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im #s(literal 1/12 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/1728 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im #s(literal 1/12 binary64))))
(log1p.f64 (expm1.f64 (*.f64 im #s(literal 1/12 binary64))))
(exp.f64 (log.f64 (*.f64 im #s(literal 1/12 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 im #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 im #s(literal 1/4 binary64)) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (.f64 im #s(literal 1/4 binary64)) (.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 im #s(literal 1/4 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 im #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 (.f64 im #s(literal 1/4 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64)) (.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))) (-.f64 (.f64 im #s(literal 1/4 binary64)) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (.f64 im (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/1728 binary64)) #s(literal 1/64 binary64))) (+.f64 #s(literal 1/16 binary64) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/144 binary64)) (.f64 #s(literal 1/48 binary64) im))))
(/.f64 (.f64 im (-.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/144 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) im)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/1728 binary64)) #s(literal 1/64 binary64)) im) (+.f64 #s(literal 1/16 binary64) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/144 binary64)) (.f64 #s(literal 1/48 binary64) im))))
(/.f64 (.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/144 binary64))) im) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) im)))
(pow.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(fma.f64 im #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1/4 binary64) im (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/4 binary64)) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 im #s(literal 1/4 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 im #s(literal 1/4 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (.f64 im #s(literal 1/2 binary64)) (.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (.f64 im #s(literal 1/2 binary64)) (.f64 (*.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64))) (.f64 im #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 3 binary64))) (pow.f64 (.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64))) (.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (.f64 (.f64 im #s(literal 1/2 binary64)) (*.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64))) (.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64))))) (-.f64 (.f64 im #s(literal 1/2 binary64)) (.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (.f64 im (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) (-.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (.f64 im (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) im) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) (-.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))) im) (-.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))))
(pow.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 im #s(literal 1/2 binary64) (*.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) im (*.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64)) (.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))) (cbrt.f64 (.f64 im #s(literal 1/2 binary64))) (*.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (.f64 im #s(literal 1/2 binary64))) (sqrt.f64 (.f64 im #s(literal 1/2 binary64))) (*.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (cos.f64 re) (.f64 (cos.f64 re) (.f64 im #s(literal 1/2 binary64))))
(+.f64 (cos.f64 re) (.f64 (.f64 im #s(literal 1/2 binary64)) (cos.f64 re)))
(+.f64 (.f64 (cos.f64 re) (.f64 im #s(literal 1/2 binary64))) (cos.f64 re))
(+.f64 (.f64 (.f64 im #s(literal 1/2 binary64)) (cos.f64 re)) (cos.f64 re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re)))) #s(literal 1 binary64))
(/.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64)))))
(/.f64 (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64))) (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) (cos.f64 re)) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)) (cos.f64 re)) (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)))
(pow.f64 (*.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re))))
(exp.f64 (log.f64 (*.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im #s(literal 1/4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im #s(literal 1/4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(log.f64 (pow.f64 (exp.f64 im) #s(literal 1/4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 im #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 im #s(literal 1/4 binary64))))
(exp.f64 (log.f64 (*.f64 im #s(literal 1/4 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 im #s(literal 1/4 binary64))) #s(literal 1 binary64)))

simplify152.0ms (2%)

Algorithm

1×	egg-herbie

Rules

789×	`fma-neg`
648×	`distribute-lft-in`
635×	`distribute-rgt-in`
263×	`cancel-sign-sub-inv`
223×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	326	5032
1	839	4893
2	2710	4789
3	7308	4777

Stop Event

1×	node limit

Counts

165 → 200

Calls

Call 1

Inputs
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/4 binary64) im)
(.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))
(.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))
(.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(literal 1/2 binary64) im)
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im)))
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 3 binary64)))
(.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im)))))
(.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im)))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 3 binary64)))
(.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 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 1/4 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))) im)) #s(literal 1/12 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))) im)) #s(literal 1/12 binary64))))
(cos.f64 re)
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.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 #s(literal 1/2 binary64) (.f64 im (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 (cos.f64 re) im)))
(.f64 im (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) im)))
(.f64 im (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) im)))
(.f64 #s(literal 1/2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) im)) (.f64 #s(literal -1/2 binary64) (cos.f64 re)))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) im)) (.f64 #s(literal -1/2 binary64) (cos.f64 re)))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) im)) (.f64 #s(literal -1/2 binary64) (cos.f64 re)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))) (.f64 #s(literal 1/2 binary64) im)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))) (.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 binary64) (.f64 #s(literal 1/2 binary64) im)))) (.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im #s(literal 1/12 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im #s(literal 1/12 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im #s(literal 1/12 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/1728 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im #s(literal 1/12 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/144 binary64)))
(log.f64 (pow.f64 (exp.f64 im) #s(literal 1/12 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im #s(literal 1/12 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/1728 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im #s(literal 1/12 binary64))))
(log1p.f64 (expm1.f64 (*.f64 im #s(literal 1/12 binary64))))
(exp.f64 (log.f64 (*.f64 im #s(literal 1/12 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 im #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 im #s(literal 1/4 binary64)) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (.f64 im #s(literal 1/4 binary64)) (.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 im #s(literal 1/4 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 im #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 (.f64 im #s(literal 1/4 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64)) (.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))) (-.f64 (.f64 im #s(literal 1/4 binary64)) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (.f64 im (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/1728 binary64)) #s(literal 1/64 binary64))) (+.f64 #s(literal 1/16 binary64) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/144 binary64)) (.f64 #s(literal 1/48 binary64) im))))
(/.f64 (.f64 im (-.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/144 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) im)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/1728 binary64)) #s(literal 1/64 binary64)) im) (+.f64 #s(literal 1/16 binary64) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/144 binary64)) (.f64 #s(literal 1/48 binary64) im))))
(/.f64 (.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/144 binary64))) im) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) im)))
(pow.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(fma.f64 im #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1/4 binary64) im (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/4 binary64)) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 im #s(literal 1/4 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 im #s(literal 1/4 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (.f64 im #s(literal 1/2 binary64)) (.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (.f64 im #s(literal 1/2 binary64)) (.f64 (*.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64))) (.f64 im #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 3 binary64))) (pow.f64 (.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64))) (.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (.f64 (.f64 im #s(literal 1/2 binary64)) (*.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64))) (.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64))))) (-.f64 (.f64 im #s(literal 1/2 binary64)) (.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (.f64 im (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) (-.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (.f64 im (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) im) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) (-.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))) im) (-.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))))
(pow.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 im #s(literal 1/2 binary64) (*.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) im (*.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64)) (.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))) (cbrt.f64 (.f64 im #s(literal 1/2 binary64))) (*.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (.f64 im #s(literal 1/2 binary64))) (sqrt.f64 (.f64 im #s(literal 1/2 binary64))) (*.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (cos.f64 re) (.f64 (cos.f64 re) (.f64 im #s(literal 1/2 binary64))))
(+.f64 (cos.f64 re) (.f64 (.f64 im #s(literal 1/2 binary64)) (cos.f64 re)))
(+.f64 (.f64 (cos.f64 re) (.f64 im #s(literal 1/2 binary64))) (cos.f64 re))
(+.f64 (.f64 (.f64 im #s(literal 1/2 binary64)) (cos.f64 re)) (cos.f64 re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re)))) #s(literal 1 binary64))
(/.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64)))))
(/.f64 (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64))) (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) (cos.f64 re)) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)) (cos.f64 re)) (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)))
(pow.f64 (*.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re))))
(exp.f64 (log.f64 (*.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im #s(literal 1/4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im #s(literal 1/4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(log.f64 (pow.f64 (exp.f64 im) #s(literal 1/4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 im #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 im #s(literal 1/4 binary64))))
(exp.f64 (log.f64 (*.f64 im #s(literal 1/4 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 im #s(literal 1/4 binary64))) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/4 binary64) im)
(*.f64 im #s(literal 1/4 binary64))
(.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))
(*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))
(*.f64 im (fma.f64 #s(literal 1/12 binary64) im #s(literal 1/4 binary64)))
(.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))
(*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))
(*.f64 im (fma.f64 #s(literal 1/12 binary64) im #s(literal 1/4 binary64)))
(.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))
(*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))
(*.f64 im (fma.f64 #s(literal 1/12 binary64) im #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/4 binary64) im)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/4 binary64) im)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/4 binary64) im)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/4 binary64) im)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/4 binary64) im)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/4 binary64) im)))
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 im #s(literal 1/2 binary64))
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im)))
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64))))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))
(*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 im (fma.f64 im (fma.f64 #s(literal 1/12 binary64) im #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))
(*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 im (fma.f64 im (fma.f64 #s(literal 1/12 binary64) im #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
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(*.f64 im #s(literal 1/4 binary64))
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(pow.f64 (pow.f64 (*.f64 im #s(literal 1/4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 im #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) #s(literal 2 binary64))
(*.f64 im #s(literal 1/4 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(fabs.f64 (*.f64 im #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 im) #s(literal 1/4 binary64)))
(*.f64 im #s(literal 1/4 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im #s(literal 1/4 binary64)))))
(*.f64 im #s(literal 1/4 binary64))
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(*.f64 im #s(literal 1/4 binary64))
(expm1.f64 (log1p.f64 (*.f64 im #s(literal 1/4 binary64))))
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(log1p.f64 (expm1.f64 (*.f64 im #s(literal 1/4 binary64))))
(*.f64 im #s(literal 1/4 binary64))
(exp.f64 (log.f64 (*.f64 im #s(literal 1/4 binary64))))
(*.f64 im #s(literal 1/4 binary64))
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(*.f64 im #s(literal 1/4 binary64))

eval318.0ms (4.1%)

Compiler: Compiled 5262 to 3882 computations (26.2% saved)

prune92.0ms (1.2%)

Pruning

16 alts after pruning (6 fresh and 10 done)

	Pruned	Kept	Total
New	290	5	295
Fresh	1	1	2
Picked	1	4	5
Done	0	6	6
Total	292	16	308

Accuracy

100.0%

Counts

308 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	27.9%	(/.f64 #s(literal 1 binary64) (cos.f64 re))
✓	44.9%	(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))))
	26.4%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
✓	29.1%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
	50.5%	(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
✓	64.8%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
	52.9%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 re)) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
	28.9%	(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 re)))
	32.5%	(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
✓	74.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
✓	82.4%	(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64))))))))
✓	74.2%	(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
	5.2%	(.f64 (cos.f64 re) (.f64 im #s(literal 1/2 binary64)))
✓	49.3%	(cos.f64 re)
✓	8.5%	#s(literal 3/2 binary64)
✓	25.8%	#s(literal 1 binary64)

Compiler

Compiled 398 to 293 computations (26.4% saved)

regimes47.0ms (0.6%)

Counts

26 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
#s(literal 3/2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
(cos.f64 re)
(+.f64 #s(literal 2 binary64) (cos.f64 re))
(/.f64 #s(literal 1 binary64) (cos.f64 re))
(.f64 (cos.f64 re) (.f64 im #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)) (cos.f64 re))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 re)))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
(.f64 (+.f64 (.f64 #s(literal 1/2 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 (/.f64 #s(literal 1 binary64) (cos.f64 re)) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64))))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64))))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1/2 binary64)))
(.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 (exp.f64 (neg.f64 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 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (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))))

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

Calls

6 calls:

14.0ms	re
8.0ms	im
8.0ms	(cos.f64 re)
8.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
4.0ms	(.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)

regimes38.0ms (0.5%)

Counts

25 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
#s(literal 3/2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
(cos.f64 re)
(+.f64 #s(literal 2 binary64) (cos.f64 re))
(/.f64 #s(literal 1 binary64) (cos.f64 re))
(.f64 (cos.f64 re) (.f64 im #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)) (cos.f64 re))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 re)))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
(.f64 (+.f64 (.f64 #s(literal 1/2 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 (/.f64 #s(literal 1 binary64) (cos.f64 re)) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64))))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64))))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1/2 binary64)))
(.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 (exp.f64 (neg.f64 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 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

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

Calls

6 calls:

9.0ms	im
7.0ms	(cos.f64 re)
7.0ms	re
6.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
5.0ms	(.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)

regimes33.0ms (0.4%)

Counts

24 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
#s(literal 3/2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
(cos.f64 re)
(+.f64 #s(literal 2 binary64) (cos.f64 re))
(/.f64 #s(literal 1 binary64) (cos.f64 re))
(.f64 (cos.f64 re) (.f64 im #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)) (cos.f64 re))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 re)))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
(.f64 (+.f64 (.f64 #s(literal 1/2 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 (/.f64 #s(literal 1 binary64) (cos.f64 re)) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64))))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64))))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1/2 binary64)))
(.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 (exp.f64 (neg.f64 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 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))

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

Calls

4 calls:

9.0ms	(cos.f64 re)
9.0ms	re
8.0ms	im
6.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))

Results

Accuracy	Segments	Branch
99.7%	1	`re`
99.7%	1	`im`
99.7%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
99.7%	1	`(cos.f64 re)`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes40.0ms (0.5%)

Counts

20 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
#s(literal 3/2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
(cos.f64 re)
(+.f64 #s(literal 2 binary64) (cos.f64 re))
(/.f64 #s(literal 1 binary64) (cos.f64 re))
(.f64 (cos.f64 re) (.f64 im #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)) (cos.f64 re))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 re)))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
(.f64 (+.f64 (.f64 #s(literal 1/2 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 (/.f64 #s(literal 1 binary64) (cos.f64 re)) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64))))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64))))))

Outputs

(cos.f64 re)

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

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

Calls

3 calls:

16.0ms	im
13.0ms	re
10.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
94.2%	2	`re`
96.9%	3	`im`
94.2%	2	`(cos.f64 re)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes35.0ms (0.4%)

Counts

18 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
#s(literal 3/2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
(cos.f64 re)
(+.f64 #s(literal 2 binary64) (cos.f64 re))
(/.f64 #s(literal 1 binary64) (cos.f64 re))
(.f64 (cos.f64 re) (.f64 im #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)) (cos.f64 re))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 re)))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
(.f64 (+.f64 (.f64 #s(literal 1/2 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 (/.f64 #s(literal 1 binary64) (cos.f64 re)) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))

Outputs

(cos.f64 re)

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

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

Calls

3 calls:

14.0ms	im
11.0ms	re
9.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
90.1%	2	`re`
90.1%	2	`(cos.f64 re)`
94.1%	3	`im`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes35.0ms (0.4%)

Counts

15 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
#s(literal 3/2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
(cos.f64 re)
(+.f64 #s(literal 2 binary64) (cos.f64 re))
(/.f64 #s(literal 1 binary64) (cos.f64 re))
(.f64 (cos.f64 re) (.f64 im #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)) (cos.f64 re))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 re)))

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

Calls

3 calls:

13.0ms	(cos.f64 re)
12.0ms	re
9.0ms	im

Results

Accuracy	Segments	Branch
78.6%	2	`re`
81.1%	4	`(cos.f64 re)`
88.3%	2	`im`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes18.0ms (0.2%)

Counts

9 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
#s(literal 3/2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
(cos.f64 re)
(+.f64 #s(literal 2 binary64) (cos.f64 re))
(/.f64 #s(literal 1 binary64) (cos.f64 re))
(.f64 (cos.f64 re) (.f64 im #s(literal 1/2 binary64)))

Outputs

(cos.f64 re)

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

Calls

3 calls:

6.0ms	im
5.0ms	re
5.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
68.3%	4	`(cos.f64 re)`
66.4%	2	`re`
73.9%	2	`im`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes5.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
#s(literal 3/2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))

Outputs
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))

Calls

2 calls:

2.0ms	im
2.0ms	re

Results

Accuracy	Segments	Branch
50.5%	1	`re`
50.5%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))))

Calls

2 calls:

3.0ms	im
2.0ms	re

Results

Accuracy	Segments	Branch
44.9%	1	`im`
44.9%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	re
2.0ms	im

Results

Accuracy	Segments	Branch
26.4%	1	`im`
26.4%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -11.1b remaining (-23.3%)

Threshold costs -11.1b (-23.3%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
#s(literal 3/2 binary64)

Outputs
#s(literal 1 binary64)

Calls

2 calls:

1.0ms	im
1.0ms	re

Results

Accuracy	Segments	Branch
25.8%	1	`re`
25.8%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch34.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.7282996322655443e+102	3.162694160813225e+102
23.0ms	1.7070225808270885e-8	148.67254338136104

Results

24.0ms

224×

valid

Compiler

Compiled 270 to 226 computations (16.3% saved)

Precisions

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

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

ival-exp: 5.0ms (28.4% of total)

ival-mult: 3.0ms (17.1% of total)

ival-add: 1.0ms (5.7% of total)

ival-neg: 1.0ms (5.7% of total)

const: 0.0ms (0% of total)

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

bsearch47.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	5.968046565004131e+152	2.5708105948092383e+166
21.0ms	1.7070225808270885e-8	148.67254338136104

Results

31.0ms

320×

valid

Compiler

Compiled 398 to 334 computations (16.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-cos: 8.0ms (36.8% of total)

ival-exp: 5.0ms (23% of total)

ival-mult: 5.0ms (23% of total)

ival-add: 2.0ms (9.2% of total)

ival-neg: 2.0ms (9.2% of total)

const: 0.0ms (0% of total)

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

bsearch24.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	1.7070225808270885e-8	148.67254338136104

Results

16.0ms

160×

valid

Compiler

Compiled 158 to 134 computations (15.2% saved)

Precisions

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

ival-cos: 4.0ms (36.6% of total)

ival-exp: 3.0ms (27.5% of total)

ival-mult: 2.0ms (18.3% of total)

ival-add: 1.0ms (9.2% of total)

ival-neg: 1.0ms (9.2% of total)

const: 0.0ms (0% of total)

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

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	595761949299.6505	32305984385378.504

Results

10.0ms

112×

valid

Compiler

Compiled 179 to 147 computations (17.9% saved)

Precisions

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

ival-cos: 2.0ms (31.3% of total)

ival-mult: 2.0ms (31.3% of total)

ival-exp: 1.0ms (15.7% of total)

ival-add: 1.0ms (15.7% of total)

ival-neg: 1.0ms (15.7% of total)

const: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

15×	`*-commutative`
13×	`+-commutative`
3×	`1-exp`
1×	`sub-neg`
1×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	538
1	101	538
2	103	538
3	104	538

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.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 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1/2 binary64)))
(if (<=.f64 im #s(literal 4841369599423283/2251799813685248 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 3099999999999999866688086571037213278762431413412260006445968672000715021702451613395172886326013853696 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))))
(if (<=.f64 im #s(literal 1080863910568919/562949953421312 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 26500000000000001202394816837153440112746600332278117351033989166343048815743921120916149049155174113539146926539333908649239696321339382235102030298349568 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64))))))))
(if (<=.f64 im #s(literal 2871044762448691/562949953421312 binary64)) (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 1450000000000 binary64)) (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
#s(literal 1 binary64)

Outputs
(*.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 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1/2 binary64)))
(.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 4841369599423283/2251799813685248 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 3099999999999999866688086571037213278762431413412260006445968672000715021702451613395172886326013853696 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))))
(if (<=.f64 im #s(literal 1080863910568919/562949953421312 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 26500000000000001202394816837153440112746600332278117351033989166343048815743921120916149049155174113539146926539333908649239696321339382235102030298349568 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64))))))))
(if (<=.f64 im #s(literal 2871044762448691/562949953421312 binary64)) (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 1450000000000 binary64)) (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
#s(literal 1 binary64)

soundness765.0ms (9.8%)

Rules

982×	`prod-diff`
974×	`log1p-expm1-u`
832×	`distribute-lft-in`
830×	`fma-define`
797×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	188	2914
1	486	2635
2	1509	2554
3	5143	2485
0	403	6739
1	1129	6466
2	4099	6432
0	422	6473
1	1055	6167
2	3505	6140
0	18	100
1	222	100
2	3374	100
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
0	25	140
1	321	124
2	4368	124

Stop Event

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

Compiler

Compiled 518 to 310 computations (40.2% saved)

preprocess90.0ms (1.2%)

Remove

(abs im)

(abs re)

Compiler

Compiled 702 to 482 computations (31.3% saved)

Iter	Nodes	Cost
0	20	236
1	40	236
2	94	236
3	159	236
4	187	236
5	222	236
6	254	236
7	265	236
8	267	236
9	272	236
10	272	236

Iter	Nodes	Cost
0	20	236
1	40	236
2	94	236
3	159	236
4	187	236
5	222	236
6	254	236
7	265	236
8	267	236
9	272	236
10	272	236

analyze0.0ms (0%)

sample1.8s (22.9%)

preprocess409.0ms (5.2%)

explain242.0ms (3.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize295.0ms (3.8%)

series83.0ms (1.1%)

rewrite318.0ms (4.1%)

simplify118.0ms (1.5%)

eval171.0ms (2.2%)

prune501.0ms (6.4%)

localize366.0ms (4.7%)

series15.0ms (0.2%)

rewrite152.0ms (2%)

simplify114.0ms (1.5%)

eval240.0ms (3.1%)

prune129.0ms (1.7%)

localize168.0ms (2.2%)

series13.0ms (0.2%)

rewrite153.0ms (2%)

simplify118.0ms (1.5%)

eval86.0ms (1.1%)

prune60.0ms (0.8%)

localize230.0ms (3%)

series70.0ms (0.9%)

rewrite146.0ms (1.9%)

simplify152.0ms (2%)

eval318.0ms (4.1%)

prune92.0ms (1.2%)

regimes47.0ms (0.6%)

regimes38.0ms (0.5%)

regimes33.0ms (0.4%)

regimes40.0ms (0.5%)

regimes35.0ms (0.4%)

regimes35.0ms (0.4%)

regimes18.0ms (0.2%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch34.0ms (0.4%)

bsearch47.0ms (0.6%)

bsearch24.0ms (0.3%)

bsearch15.0ms (0.2%)

simplify9.0ms (0.1%)

soundness765.0ms (9.8%)

preprocess90.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	20	236
1	40	236
2	94	236
3	159	236
4	187	236
5	222	236
6	254	236
7	265	236
8	267	236
9	272	236
10	272	236