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)

sample1.5s (17.6%)

Results

1.2s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 921.0ms

ival-cos: 380.0ms (41.3% of total)

ival-mult: 344.0ms (37.4% of total)

ival-exp: 95.0ms (10.3% of total)

ival-add: 45.0ms (4.9% of total)

ival-neg: 43.0ms (4.7% of total)

const: 11.0ms (1.2% of total)

backward-pass: 2.0ms (0.2% of total)

Bogosity

preprocess144.0ms (1.7%)

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)

explain112.0ms (1.3%)

FPErrors

Click to see full error table

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

Results

74.0ms

512×

valid

Compiler

Compiled 85 to 32 computations (62.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-cos: 14.0ms (38.3% of total)

ival-mult: 11.0ms (30.1% of total)

ival-exp: 6.0ms (16.4% of total)

ival-add: 3.0ms (8.2% of total)

ival-neg: 2.0ms (5.5% of total)

const: 1.0ms (2.7% of total)

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

eval1.0ms (0%)

Compiler: Compiled 35 to 15 computations (57.1% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify20.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

localize48.0ms (0.6%)

Localize:

Found 4 expressions of interest:

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

Results

30.0ms

256×

valid

Compiler

Compiled 36 to 11 computations (69.4% saved)

Precisions

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

ival-cos: 6.0ms (38.8% of total)

ival-mult: 4.0ms (25.9% of total)

ival-exp: 3.0ms (19.4% of total)

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

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

const: 0.0ms (0% of total)

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

series130.0ms (1.5%)

Counts

6 → 56

Calls

Call 1

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

Outputs
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt #s(literal 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 binary64) im))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) im))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) im))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) im))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) im))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))>
#<alt (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (cos.f64 re)>
#<alt (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/24 binary64) (cos.f64 re)))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt #s(literal 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
119.0ms	im	@	inf	(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
1.0ms	re	@	-inf	(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
1.0ms	re	@	0	(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
1.0ms	im	@	-inf	(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
1.0ms	re	@	inf	(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))

rewrite196.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	85
1	202	85
2	3306	85

Stop Event

1×

unsound

Counts

6 → 72

Calls

Call 1

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

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

simplify86.0ms (1%)

Algorithm

1×	egg-herbie

Rules

719×	`fma-define`
719×	`associate-*r/`
557×	`associate-r`
375×	`distribute-rgt-out`
281×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	197	3069
1	505	2795
2	1610	2620
3	5037	2588

Stop Event

1×	node limit

Counts

128 → 141

Calls

Call 1

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

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

eval53.0ms (0.6%)

Compiler: Compiled 2342 to 522 computations (77.7% saved)

prune21.0ms (0.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	135	6	141
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	136	6	142

Accuracy

100.0%

Counts

142 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.6%	(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
▶	99.8%	(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	79.6%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
▶	57.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
▶	66.0%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	52.9%	(cos.f64 re)

Compiler

Compiled 128 to 98 computations (23.4% saved)

simplify169.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 im im #s(literal 2 binary64))
	cost-diff	0	(cos.f64 re)
	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
✓	cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
	cost-diff	0	(exp.f64 im)
✓	cost-diff	0	(+.f64 #s(literal 3 binary64) (exp.f64 im))
	cost-diff	0	(cos.f64 re)
	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
	cost-diff	0	(exp.f64 im)
✓	cost-diff	0	(neg.f64 im)
	cost-diff	0	(exp.f64 (neg.f64 im))
	cost-diff	0	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
	cost-diff	0	(cos.f64 re)
✓	cost-diff	0	(exp.f64 (cos.f64 re))
✓	cost-diff	6464	(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓	cost-diff	12800	(log.f64 (exp.f64 (cos.f64 re)))
✓	cost-diff	12800	(*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re))))

Rules

1164×	`fma-define`
454×	`distribute-lft-in`
338×	`distribute-rgt-in`
283×	`times-frac`
265×	`distribute-lft-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	417
1	72	417
2	168	413
3	284	409
4	411	409
5	908	409
6	1619	409
7	2256	409
8	2571	409
9	4872	409
10	5851	409
11	6603	409
12	7743	409

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re))))
#s(literal 1/2 binary64)
(log.f64 (exp.f64 (cos.f64 re)))
(exp.f64 (cos.f64 re))
(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)
(cos.f64 re)
re
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(literal 1/2 binary64)
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(+.f64 #s(literal 3 binary64) (exp.f64 im))
#s(literal 3 binary64)
(exp.f64 im)
im
(.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)

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

localize106.0ms (1.2%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 im im #s(literal 2 binary64))
	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
	accuracy	100.0%	(cos.f64 re)
✓	accuracy	99.9%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
	accuracy	100.0%	(exp.f64 im)
	accuracy	100.0%	(cos.f64 re)
✓	accuracy	100.0%	(+.f64 #s(literal 3 binary64) (exp.f64 im))
✓	accuracy	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
✓	accuracy	100.0%	(neg.f64 im)
	accuracy	100.0%	(exp.f64 (neg.f64 im))
	accuracy	100.0%	(exp.f64 im)
	accuracy	100.0%	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
	accuracy	100.0%	(cos.f64 re)
	accuracy	100.0%	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
✓	accuracy	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓	accuracy	99.9%	(exp.f64 (cos.f64 re))
✓	accuracy	99.6%	(log.f64 (exp.f64 (cos.f64 re)))

Results

76.0ms

256×

valid

Compiler

Compiled 121 to 21 computations (82.6% saved)

Precisions

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

ival-mult: 17.0ms (42.8% of total)

ival-exp: 6.0ms (15.1% of total)

ival-cos: 6.0ms (15.1% of total)

ival-add: 3.0ms (7.6% of total)

ival-fma: 3.0ms (7.6% of total)

ival-log: 3.0ms (7.6% of total)

const: 1.0ms (2.5% of total)

ival-neg: 1.0ms (2.5% of total)

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

series22.0ms (0.3%)

Counts

9 → 128

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re))))>
#<alt (log.f64 (exp.f64 (cos.f64 re)))>
#<alt (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (exp.f64 (cos.f64 re))>
#<alt (neg.f64 im)>
#<alt (+.f64 #s(literal 3 binary64) (exp.f64 im))>
#<alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))>
#<alt (fma.f64 im im #s(literal 2 binary64))>
#<alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))>

Outputs
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re))>
#<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 (cos.f64 re)>
#<alt (cos.f64 re)>
#<alt (cos.f64 re)>
#<alt (cos.f64 re)>
#<alt (cos.f64 re)>
#<alt (cos.f64 re)>
#<alt (cos.f64 re)>
#<alt (cos.f64 re)>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))>
#<alt (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (cos.f64 re)>
#<alt (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/24 binary64) (cos.f64 re)))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (exp.f64 #s(literal 1 binary64))>
#<alt (+.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))))>
#<alt (+.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))))))>
#<alt (+.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -31/720 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))) (.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt #s(literal 4 binary64)>
#<alt (+.f64 #s(literal 4 binary64) im)>
#<alt (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))>
#<alt (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (cos.f64 re)>
#<alt (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (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 #s(literal 1/2 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 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 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 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 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) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)))>
#<alt (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 re))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im (cos.f64 re))) (*.f64 #s(literal 2 binary64) (cos.f64 re)))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (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 (.f64 #s(literal 2 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal 1/12 binary64) (.f64 im (cos.f64 re))) (*.f64 #s(literal 1/4 binary64) (cos.f64 re)))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	re	@	0	(* (* 1/2 (log (exp (cos re)))) (+ (exp (neg im)) (exp im)))
2.0ms	re	@	0	(* (* 1/2 (cos re)) (+ (* im im) 2))
1.0ms	re	@	inf	(* (* 1/2 (cos re)) (+ (* im im) 2))
1.0ms	re	@	-inf	(* (* 1/2 (cos re)) (+ (* im im) 2))
1.0ms	im	@	inf	(* (* 1/2 (cos re)) (+ (* im im) 2))

rewrite60.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

170×	`associate-r`
145×	`log1p-expm1-u`
145×	`expm1-log1p-u`
144×	`add-exp-log`
144×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	106
1	339	106
2	5477	106

Stop Event

1×

unsound

Counts

9 → 268

Calls

Call 1

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

Outputs
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (cos.f64 re))
(-.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -28 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
(pow.f64 (cos.f64 re) #s(literal -28 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 -28 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(cos.f64 re)
(expm1.f64 (log.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 -28 binary64)))
(fma.f64 (cos.f64 re) #s(literal -28 binary64) (cos.f64 re))
(fma.f64 #s(literal -28 binary64) (cos.f64 re) (cos.f64 re))
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (cos.f64 re))
(-.f64 (cos.f64 re) #s(literal -28 binary64))
(*.f64 (cos.f64 re) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal -28 binary64))
(*.f64 #s(literal -28 binary64) (cos.f64 re))
(/.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -28 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
(pow.f64 (cos.f64 re) #s(literal -28 binary64))
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(cbrt.f64 (cos.f64 re))
(cos.f64 re)
(expm1.f64 (log.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 -28 binary64)))
(fma.f64 (cos.f64 re) #s(literal -28 binary64) (cos.f64 re))
(fma.f64 #s(literal -28 binary64) (cos.f64 re) (cos.f64 re))
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (cos.f64 re))
(-.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -28 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
(pow.f64 (cos.f64 re) #s(literal -28 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 -28 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(cos.f64 re)
(expm1.f64 (log.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 -28 binary64)))
(fma.f64 (cos.f64 re) #s(literal -28 binary64) (cos.f64 re))
(fma.f64 #s(literal -28 binary64) (cos.f64 re) (cos.f64 re))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (cos.f64 re)))) #s(literal -28 binary64))
(*.f64 #s(literal -28 binary64) (exp.f64 (cos.f64 re)))
(*.f64 (exp.f64 (cos.f64 re)) #s(literal -28 binary64))
(*.f64 (exp.f64 (cos.f64 re)) (exp.f64 (cos.f64 re)))
(pow.f64 #s(literal -28 binary64) (cos.f64 re))
(pow.f64 (exp.f64 (cos.f64 re)) (cos.f64 re))
(pow.f64 (exp.f64 (cos.f64 re)) #s(literal -28 binary64))
(pow.f64 (exp.f64 (cos.f64 re)) #s(literal 1/3 binary64))
(sqrt.f64 (exp.f64 (cos.f64 re)))
(fabs.f64 (exp.f64 (cos.f64 re)))
(log.f64 (exp.f64 (exp.f64 (cos.f64 re))))
(log.f64 (+.f64 #s(literal -28 binary64) (expm1.f64 (exp.f64 (cos.f64 re)))))
(cbrt.f64 (exp.f64 (cos.f64 re)))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 re))))
(log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re))))
#s(literal -28 binary64)
#s(literal -26 binary64)
#s(literal -18 binary64)
#s(literal -8 binary64)
#s(literal -7 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/7 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 5/2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 6 binary64)
#s(literal 7 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 10 binary64)
#s(literal 11 binary64)
#s(literal 12 binary64)
#s(literal 13 binary64)
#s(literal 14 binary64)
#s(literal 20 binary64)
#s(literal 26 binary64)
#s(literal 27 binary64)
#s(literal 28 binary64)
#s(literal 49 binary64)
#s(literal 56 binary64)
#s(literal 79 binary64)
#s(literal 80 binary64)
#s(literal 81 binary64)
#s(literal 91 binary64)
#s(literal 101 binary64)
#s(literal 343 binary64)
#s(literal 703 binary64)
#s(literal 721 binary64)
#s(literal 728 binary64)
#s(literal 729 binary64)
#s(literal 784 binary64)
#s(literal 19683 binary64)
#s(literal 19684 binary64)
#s(literal 21952 binary64)
#s(literal -28 binary64)
#s(literal -26 binary64)
#s(literal -18 binary64)
#s(literal -8 binary64)
#s(literal -7 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/7 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 5/2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 6 binary64)
#s(literal 7 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 10 binary64)
#s(literal 11 binary64)
#s(literal 12 binary64)
#s(literal 13 binary64)
#s(literal 14 binary64)
#s(literal 20 binary64)
#s(literal 26 binary64)
#s(literal 27 binary64)
#s(literal 28 binary64)
#s(literal 49 binary64)
#s(literal 56 binary64)
#s(literal 79 binary64)
#s(literal 80 binary64)
#s(literal 81 binary64)
#s(literal 91 binary64)
#s(literal 101 binary64)
#s(literal 343 binary64)
#s(literal 703 binary64)
#s(literal 721 binary64)
#s(literal 728 binary64)
#s(literal 729 binary64)
#s(literal 784 binary64)
#s(literal 19683 binary64)
#s(literal 19684 binary64)
#s(literal 21952 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (cos.f64 re))
(-.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -28 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
(pow.f64 (cos.f64 re) #s(literal -28 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 -28 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(cos.f64 re)
(expm1.f64 (log.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 -28 binary64)))
(fma.f64 (cos.f64 re) #s(literal -28 binary64) (cos.f64 re))
(fma.f64 #s(literal -28 binary64) (cos.f64 re) (cos.f64 re))
#s(literal -28 binary64)
#s(literal -26 binary64)
#s(literal -18 binary64)
#s(literal -8 binary64)
#s(literal -7 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/7 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 5/2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 6 binary64)
#s(literal 7 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 10 binary64)
#s(literal 11 binary64)
#s(literal 12 binary64)
#s(literal 13 binary64)
#s(literal 14 binary64)
#s(literal 20 binary64)
#s(literal 26 binary64)
#s(literal 27 binary64)
#s(literal 28 binary64)
#s(literal 49 binary64)
#s(literal 56 binary64)
#s(literal 79 binary64)
#s(literal 80 binary64)
#s(literal 81 binary64)
#s(literal 91 binary64)
#s(literal 101 binary64)
#s(literal 343 binary64)
#s(literal 703 binary64)
#s(literal 721 binary64)
#s(literal 728 binary64)
#s(literal 729 binary64)
#s(literal 784 binary64)
#s(literal 19683 binary64)
#s(literal 19684 binary64)
#s(literal 21952 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (cos.f64 re))
(-.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -28 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
(pow.f64 (cos.f64 re) #s(literal -28 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 -28 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(cos.f64 re)
(expm1.f64 (log.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 -28 binary64)))
(fma.f64 (cos.f64 re) #s(literal -28 binary64) (cos.f64 re))
(fma.f64 #s(literal -28 binary64) (cos.f64 re) (cos.f64 re))

simplify135.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

577×	`distribute-lft-in`
564×	`distribute-rgt-in`
513×	`associate-+l+`
492×	`associate-+r+`
424×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	280	6216
1	754	5559
2	2549	5508
3	6569	5393

Stop Event

1×	node limit

Counts

396 → 236

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#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))))
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(cos.f64 re)
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/24 binary64) (cos.f64 re)))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(exp.f64 #s(literal 1 binary64))
(+.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))))
(+.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))))))
(+.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -31/720 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))) (.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))))))))
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
#s(literal 4 binary64)
(+.f64 #s(literal 4 binary64) im)
(+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))
(+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))
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(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal -28 binary64)))
(fma.f64 (cos.f64 re) #s(literal -28 binary64) (cos.f64 re))
(fma.f64 #s(literal -28 binary64) (cos.f64 re) (cos.f64 re))

Outputs
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 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 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 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 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64))) #s(literal -1/4 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#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)) #s(literal -1/2 binary64)))
(fma.f64 (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 #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 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.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))
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/48 binary64) #s(literal -1/4 binary64))) (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)) (*.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (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 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))
(+.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64) #s(literal 1/48 binary64))))))
(+.f64 (.f64 (.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (pow.f64 re #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (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))) (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) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.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) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.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) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.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) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.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) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.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) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.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) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.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) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.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))))
(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 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(.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) (.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 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (cos.f64 re))
(.f64 (cos.f64 re) (+.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 (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 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (.f64 (cos.f64 re) #s(literal 1/24 binary64)))))))
(fma.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)) (.f64 (cos.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64)) #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) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64)))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (cos.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) (+.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)))))) (cos.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.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) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.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) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.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) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.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) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.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) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.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) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.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) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.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))))
(exp.f64 #s(literal 1 binary64))
(E.f64)
(+.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))))
(+.f64 (E.f64) (.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)) (E.f64)))
(*.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (E.f64))
(+.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))))))
(+.f64 (E.f64) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (E.f64) (.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (E.f64)) #s(literal 1/6 binary64)))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (E.f64) (+.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/6 binary64)))) (E.f64))
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(*.f64 #s(literal -27 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal -27 binary64))
(fma.f64 #s(literal -28 binary64) (cos.f64 re) (cos.f64 re))
(fma.f64 (cos.f64 re) #s(literal -28 binary64) (cos.f64 re))
(*.f64 #s(literal -27 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal -27 binary64))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (cos.f64 re)))) #s(literal -28 binary64))
(+.f64 (exp.f64 (log1p.f64 (exp.f64 (cos.f64 re)))) #s(literal 28 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (cos.f64 re))) #s(literal 28 binary64))
(+.f64 (exp.f64 (cos.f64 re)) #s(literal 29 binary64))
(*.f64 #s(literal -28 binary64) (exp.f64 (cos.f64 re)))
(*.f64 (exp.f64 (cos.f64 re)) #s(literal -28 binary64))
(*.f64 #s(literal -28 binary64) (exp.f64 (cos.f64 re)))
(*.f64 (exp.f64 (cos.f64 re)) (exp.f64 (cos.f64 re)))
(exp.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (cos.f64 re))
(pow.f64 (exp.f64 (cos.f64 re)) #s(literal 2 binary64))
(pow.f64 #s(literal -28 binary64) (cos.f64 re))
(pow.f64 (exp.f64 (cos.f64 re)) (cos.f64 re))
(pow.f64 (exp.f64 (cos.f64 re)) #s(literal -28 binary64))
(pow.f64 (exp.f64 (cos.f64 re)) #s(literal 1/3 binary64))
(cbrt.f64 (exp.f64 (cos.f64 re)))
(sqrt.f64 (exp.f64 (cos.f64 re)))
(fabs.f64 (exp.f64 (cos.f64 re)))
(log.f64 (exp.f64 (exp.f64 (cos.f64 re))))
(exp.f64 (cos.f64 re))
(log.f64 (+.f64 #s(literal -28 binary64) (expm1.f64 (exp.f64 (cos.f64 re)))))
(cbrt.f64 (exp.f64 (cos.f64 re)))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 re))))
(exp.f64 (cos.f64 re))
(log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re))))
(exp.f64 (cos.f64 re))
#s(literal -28 binary64)
#s(literal -26 binary64)
#s(literal -18 binary64)
#s(literal -8 binary64)
#s(literal -7 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/7 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 5/2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 6 binary64)
#s(literal 7 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 10 binary64)
#s(literal 11 binary64)
#s(literal 12 binary64)
#s(literal 13 binary64)
#s(literal 14 binary64)
#s(literal 20 binary64)
#s(literal 26 binary64)
#s(literal 27 binary64)
#s(literal 28 binary64)
#s(literal 49 binary64)
#s(literal 56 binary64)
#s(literal 79 binary64)
#s(literal 80 binary64)
#s(literal 81 binary64)
#s(literal 91 binary64)
#s(literal 101 binary64)
#s(literal 343 binary64)
#s(literal 703 binary64)
#s(literal 721 binary64)
#s(literal 728 binary64)
#s(literal 729 binary64)
#s(literal 784 binary64)
#s(literal 19683 binary64)
#s(literal 19684 binary64)
#s(literal 21952 binary64)
#s(literal -28 binary64)
#s(literal -26 binary64)
#s(literal -18 binary64)
#s(literal -8 binary64)
#s(literal -7 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/7 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 5/2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 6 binary64)
#s(literal 7 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 10 binary64)
#s(literal 11 binary64)
#s(literal 12 binary64)
#s(literal 13 binary64)
#s(literal 14 binary64)
#s(literal 20 binary64)
#s(literal 26 binary64)
#s(literal 27 binary64)
#s(literal 28 binary64)
#s(literal 49 binary64)
#s(literal 56 binary64)
#s(literal 79 binary64)
#s(literal 80 binary64)
#s(literal 81 binary64)
#s(literal 91 binary64)
#s(literal 101 binary64)
#s(literal 343 binary64)
#s(literal 703 binary64)
#s(literal 721 binary64)
#s(literal 728 binary64)
#s(literal 729 binary64)
#s(literal 784 binary64)
#s(literal 19683 binary64)
#s(literal 19684 binary64)
#s(literal 21952 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (cos.f64 re))
(+.f64 (cos.f64 re) #s(literal -28 binary64))
(-.f64 (cos.f64 re) #s(literal -28 binary64))
(+.f64 (cos.f64 re) #s(literal 28 binary64))
(/.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
#s(literal 1 binary64)
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -28 binary64))
(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) re)) (cos.f64 #s(literal 0 binary64))) #s(literal -28 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 re #s(literal 2 binary64)))) #s(literal -28 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
#s(literal 1 binary64)
(pow.f64 (cos.f64 re) #s(literal -28 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 -28 binary64) (expm1.f64 (cos.f64 re))))
(log1p.f64 (+.f64 (expm1.f64 (cos.f64 re)) #s(literal -29 binary64)))
(cbrt.f64 (cos.f64 re))
(cos.f64 re)
(expm1.f64 (log.f64 (cos.f64 re)))
(-.f64 (cos.f64 re) #s(literal 1 binary64))
(+.f64 (cos.f64 re) #s(literal -1 binary64))
(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 -28 binary64)))
(pow.f64 (cos.f64 re) #s(literal -28 binary64))
(fma.f64 (cos.f64 re) #s(literal -28 binary64) (cos.f64 re))
(*.f64 #s(literal -27 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal -27 binary64))
(fma.f64 #s(literal -28 binary64) (cos.f64 re) (cos.f64 re))
(fma.f64 (cos.f64 re) #s(literal -28 binary64) (cos.f64 re))
(*.f64 #s(literal -27 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal -27 binary64))
#s(literal -28 binary64)
#s(literal -26 binary64)
#s(literal -18 binary64)
#s(literal -8 binary64)
#s(literal -7 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/7 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 5/2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 6 binary64)
#s(literal 7 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 10 binary64)
#s(literal 11 binary64)
#s(literal 12 binary64)
#s(literal 13 binary64)
#s(literal 14 binary64)
#s(literal 20 binary64)
#s(literal 26 binary64)
#s(literal 27 binary64)
#s(literal 28 binary64)
#s(literal 49 binary64)
#s(literal 56 binary64)
#s(literal 79 binary64)
#s(literal 80 binary64)
#s(literal 81 binary64)
#s(literal 91 binary64)
#s(literal 101 binary64)
#s(literal 343 binary64)
#s(literal 703 binary64)
#s(literal 721 binary64)
#s(literal 728 binary64)
#s(literal 729 binary64)
#s(literal 784 binary64)
#s(literal 19683 binary64)
#s(literal 19684 binary64)
#s(literal 21952 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (cos.f64 re))
(+.f64 (cos.f64 re) #s(literal -28 binary64))
(-.f64 (cos.f64 re) #s(literal -28 binary64))
(+.f64 (cos.f64 re) #s(literal 28 binary64))
(/.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
#s(literal 1 binary64)
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -28 binary64))
(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) re)) (cos.f64 #s(literal 0 binary64))) #s(literal -28 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 re #s(literal 2 binary64)))) #s(literal -28 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
#s(literal 1 binary64)
(pow.f64 (cos.f64 re) #s(literal -28 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 -28 binary64) (expm1.f64 (cos.f64 re))))
(log1p.f64 (+.f64 (expm1.f64 (cos.f64 re)) #s(literal -29 binary64)))
(cbrt.f64 (cos.f64 re))
(cos.f64 re)
(expm1.f64 (log.f64 (cos.f64 re)))
(-.f64 (cos.f64 re) #s(literal 1 binary64))
(+.f64 (cos.f64 re) #s(literal -1 binary64))
(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 -28 binary64)))
(pow.f64 (cos.f64 re) #s(literal -28 binary64))
(fma.f64 (cos.f64 re) #s(literal -28 binary64) (cos.f64 re))
(*.f64 #s(literal -27 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal -27 binary64))
(fma.f64 #s(literal -28 binary64) (cos.f64 re) (cos.f64 re))
(fma.f64 (cos.f64 re) #s(literal -28 binary64) (cos.f64 re))
(*.f64 #s(literal -27 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal -27 binary64))

eval199.0ms (2.3%)

Compiler: Compiled 8145 to 1428 computations (82.5% saved)

prune633.0ms (7.4%)

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	560	13	573
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	561	18	579

Accuracy

100.0%

Counts

579 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	44.2%	(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
▶	79.6%	(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
	32.3%	(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
✓	79.6%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
	12.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 im #s(literal 4 binary64)))
	44.2%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
✓	57.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
	54.7%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
▶	37.1%	(.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))
	11.3%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
	49.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
	40.6%	(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
✓	66.0%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	9.6%	(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
	8.0%	(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
	4.0%	(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
✓	52.9%	(cos.f64 re)
▶	30.2%	#s(literal 1 binary64)

Compiler

Compiled 328 to 256 computations (22% saved)

simplify51.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))
✓	cost-diff	-6272	(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im)))
✓	cost-diff	0	(*.f64 #s(literal 1/4 binary64) im)
	cost-diff	0	(cos.f64 re)
✓	cost-diff	-6272	(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
	cost-diff	0	(exp.f64 im)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
✓	cost-diff	128	(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
	cost-diff	0	(cos.f64 re)
✓	cost-diff	128	(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))

Rules

220×	`fma-define`
51×	`associate-r`
48×	`associate-l`
26×	`*-commutative`
23×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	315
1	60	284
2	126	280
3	233	280
4	326	280
5	372	280
6	457	280
7	509	280
8	534	280
9	535	280

Stop Event

1×

saturated

Calls

Call 1

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

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

localize310.0ms (3.6%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 1/4 binary64) im)
	accuracy	100.0%	(cos.f64 re)
✓	accuracy	100.0%	(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im)))
✓	accuracy	99.9%	(.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
	accuracy	100.0%	(exp.f64 im)
✓	accuracy	100.0%	(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
	accuracy	100.0%	(cos.f64 re)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
✓	accuracy	100.0%	(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
✓	accuracy	99.9%	(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))

Results

209.0ms

256×

valid

Compiler

Compiled 101 to 22 computations (78.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 180.0ms

ival-cos: 159.0ms (88.3% of total)

ival-mult: 11.0ms (6.1% of total)

ival-add: 5.0ms (2.8% of total)

ival-pow: 3.0ms (1.7% of total)

ival-exp: 2.0ms (1.1% of total)

const: 1.0ms (0.6% of total)

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

series26.0ms (0.3%)

Counts

10 → 71

Calls

Call 1

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

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

Calls

39 calls:

Time	Variable		Point	Expression
5.0ms	re	@	-inf	(+ (cos re) (* 1/2 (* (pow im 2) (cos re))))
2.0ms	im	@	0	(* 1/2 (exp im))
1.0ms	re	@	0	(* (cos re) (+ 2 (* im (+ 1/2 (* 1/4 im)))))
1.0ms	re	@	inf	(* (cos re) (+ 2 (* im (+ 1/2 (* 1/4 im)))))
1.0ms	re	@	0	(+ (cos re) (* 1/2 (* (pow im 2) (cos re))))

rewrite315.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1176×	`log1p-expm1-u`
538×	`expm1-log1p-u`
181×	`associate-r`
167×	`add-exp-log`
167×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	220
1	374	197
2	5324	197

Stop Event

1×	node limit

Counts

10 → 214

Calls

Call 1

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

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

simplify262.0ms (3%)

Algorithm

1×	egg-herbie

Rules

783×	`times-frac`
431×	`fma-neg`
414×	`fma-define`
397×	`associate-r`
351×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	616	11459
1	1550	10515
2	5361	9781

Stop Event

1×	node limit

Counts

285 → 363

Calls

Call 1

Inputs
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/48 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (+.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/1440 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/720 binary64))))))) #s(literal 1/2 binary64)))))
(cos.f64 re)
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/48 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(pow.f64 im #s(literal 2 binary64))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))
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(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))) #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) #s(literal 1/2 binary64))
(+.f64 (.f64 im (.f64 (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (cos.f64 re))) (*.f64 (cos.f64 re) #s(literal 2 binary64)))
(+.f64 (.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 im (*.f64 (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (cos.f64 re))))
(+.f64 (.f64 (.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 im (*.f64 (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (cos.f64 re))) #s(literal 1 binary64)))
(-.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 2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 im (.f64 (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (cos.f64 re))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 im (.f64 (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (cos.f64 re))) (.f64 im (.f64 (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (cos.f64 re)))) (.f64 (.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 im (*.f64 (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (cos.f64 re)))))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 2 binary64))) (.f64 (.f64 im (.f64 (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (cos.f64 re))) (.f64 im (.f64 (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (cos.f64 re))))) (-.f64 (.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 im (*.f64 (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (cos.f64 re)))))
(/.f64 (.f64 (cos.f64 re) (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (-.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (.f64 (cos.f64 re) (-.f64 #s(literal 4 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 2 binary64) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64)) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (-.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 4 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 2 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 2 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 2 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 2 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 2 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 2 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 2 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 2 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 2 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 2 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 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 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 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 2 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 2 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 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 re) #s(literal 2 binary64) (.f64 im (.f64 (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (cos.f64 re))))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (.f64 (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (cos.f64 re))))

Outputs
(+.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 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal -1/2 binary64)))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/48 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal 1/2 binary64)))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/48 binary64))))) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/48 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/48 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (+.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/1440 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/720 binary64))))))) #s(literal 1/2 binary64)))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal 1/48 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64))))))) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/48 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/1440 binary64) #s(literal -1/720 binary64))))) #s(literal -1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/1440 binary64) #s(literal -1/720 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/48 binary64)))) #s(literal -1/2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(cos.f64 re)
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/48 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 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 im #s(literal 2 binary64)) #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/48 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/48 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/48 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/48 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64))))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/48 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(pow.f64 im #s(literal 2 binary64))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64)))) (pow.f64 im #s(literal 2 binary64)))
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(fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) #s(literal 1/2 binary64))
(*.f64 im (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) im)))
(fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))
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(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
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(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 im (*.f64 (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (cos.f64 re))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(-.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 2 binary64))))) #s(literal 1 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 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 im (.f64 (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (cos.f64 re))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 im (.f64 (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (cos.f64 re))) (.f64 im (.f64 (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (cos.f64 re)))) (.f64 (.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 im (*.f64 (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (cos.f64 re)))))))
(/.f64 (+.f64 (.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (.f64 im (.f64 (cos.f64 re) (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (.f64 im (.f64 (cos.f64 re) (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) (-.f64 (.f64 im (.f64 (cos.f64 re) (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) (cos.f64 re))))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (.f64 (.f64 im (cos.f64 re)) (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (.f64 (.f64 im (cos.f64 re)) (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 2 binary64))) (.f64 (.f64 im (.f64 (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (cos.f64 re))) (.f64 im (.f64 (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (cos.f64 re))))) (-.f64 (.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 im (*.f64 (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (cos.f64 re)))))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (cos.f64 re) (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (-.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(.f64 (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 (cos.f64 re) (+.f64 #s(literal 4 binary64) (.f64 im (.f64 (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))))))
(.f64 (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 (cos.f64 re) (fma.f64 im (*.f64 (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))) #s(literal 4 binary64))))
(/.f64 (.f64 (cos.f64 re) (-.f64 #s(literal 4 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 2 binary64) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 (cos.f64 re) (-.f64 #s(literal 2 binary64) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))
(.f64 (cos.f64 re) (/.f64 (-.f64 #s(literal 4 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 2 binary64) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64)) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (-.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(.f64 (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 (cos.f64 re) (+.f64 #s(literal 4 binary64) (.f64 im (.f64 (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))))))
(.f64 (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 (cos.f64 re) (fma.f64 im (*.f64 (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))) #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 4 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 2 binary64) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 (cos.f64 re) (-.f64 #s(literal 2 binary64) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))
(.f64 (cos.f64 re) (/.f64 (-.f64 #s(literal 4 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 2 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 2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 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 2 binary64)))) #s(literal 3 binary64))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 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 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 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 2 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 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 2 binary64))) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(*.f64 (cos.f64 re) (fma.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 (cos.f64 re)) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 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 2 binary64))))))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 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 2 binary64))) #s(literal 3 binary64)))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 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 2 binary64)) #s(literal 3 binary64))))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 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 2 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 2 binary64)))))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 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 2 binary64)))))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 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 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(fma.f64 (cos.f64 re) #s(literal 2 binary64) (.f64 im (.f64 (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (cos.f64 re))))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (.f64 (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (cos.f64 re))))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))

eval409.0ms (4.8%)

Compiler: Compiled 8300 to 1588 computations (80.9% saved)

prune75.0ms (0.9%)

Pruning

24 alts after pruning (17 fresh and 7 done)

	Pruned	Kept	Total
New	463	8	471
Fresh	0	9	9
Picked	2	3	5
Done	0	4	4
Total	465	24	489

Accuracy

100.0%

Counts

489 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	44.2%	(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
▶	71.4%	(+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
✓	79.6%	(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
	33.5%	(+.f64 #s(literal 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)))))))
	27.2%	(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))))
▶	9.5%	(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
	32.3%	(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
▶	27.5%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im)))))
✓	79.6%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
	12.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 im #s(literal 4 binary64)))
	44.2%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
✓	57.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
	54.7%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
	37.1%	(.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (*.f64 im #s(literal 1/4 binary64)))))
	11.3%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
▶	49.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
	40.6%	(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
✓	66.0%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	8.0%	(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
	4.0%	(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
✓	52.9%	(cos.f64 re)
	8.7%	#s(literal 2 binary64)
✓	30.2%	#s(literal 1 binary64)
▶	9.6%	#s(literal 3/4 binary64)

Compiler

Compiled 426 to 335 computations (21.4% saved)

simplify84.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
	cost-diff	0	(*.f64 #s(literal 1/4 binary64) im)
✓	cost-diff	0	(pow.f64 re #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	-6336	(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
	cost-diff	0	(fma.f64 im im #s(literal 2 binary64))
✓	cost-diff	-6272	(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) im)
✓	cost-diff	-6272	(+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
✓	cost-diff	0	(pow.f64 im #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
	cost-diff	0	(cos.f64 re)

Rules

687×	`distribute-rgt-in`
677×	`distribute-lft-in`
509×	`distribute-rgt-neg-in`
454×	`sub-neg`
445×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	349
1	63	309
2	144	306
3	413	306
4	1435	306
5	3453	306
6	5140	306
7	6610	306

Stop Event

1×	node limit

Calls

Call 1

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

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

localize162.0ms (1.9%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64))
	accuracy	100.0%	(*.f64 #s(literal 1/4 binary64) im)
	accuracy	100.0%	(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im)))
✓	accuracy	100.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im)))))
	accuracy	100.0%	(fma.f64 im im #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) im)
✓	accuracy	100.0%	(pow.f64 im #s(literal 2 binary64))
	accuracy	100.0%	(cos.f64 re)
✓	accuracy	100.0%	(+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))

Results

132.0ms

256×

valid

Compiler

Compiled 113 to 25 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-pow: 69.0ms (70% of total)

ival-mult: 11.0ms (11.2% of total)

ival-cos: 9.0ms (9.1% of total)

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

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

const: 1.0ms (1% of total)

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

series17.0ms (0.2%)

Counts

10 → 82

Calls

Call 1

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

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

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	im	@	inf	(* 1/2 (+ (* im im) 2))
1.0ms	im	@	0	(* (+ 1 (* (pow re 2) -1/2)) (+ 2 (* im (+ 1/2 (* 1/4 im)))))
1.0ms	re	@	inf	(* (+ 1 (* (pow re 2) -1/2)) (+ 2 (* im (+ 1/2 (* 1/4 im)))))
0.0ms	im	@	-inf	(* (+ 1 (* (pow re 2) -1/2)) (+ 2 (* im (+ 1/2 (* 1/4 im)))))
0.0ms	im	@	inf	(* (+ 1 (* (pow re 2) -1/2)) (+ 2 (* im (+ 1/2 (* 1/4 im)))))

rewrite403.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1145×	`log1p-expm1-u`
203×	`expm1-log1p-u`
196×	`add-exp-log`
196×	`add-log-exp`
196×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	208
1	445	184
2	6293	184

Stop Event

1×	node limit

Counts

10 → 236

Calls

Call 1

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

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

simplify612.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

382×	`cancel-sign-sub-inv`
377×	`associate-r`
352×	`associate-l`
344×	`fma-neg`
311×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	595	12418
1	1489	11175
2	5137	10631

Stop Event

1×	node limit

Counts

318 → 349

Calls

Call 1

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

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

eval117.0ms (1.4%)

Compiler: Compiled 8373 to 1417 computations (83.1% saved)

prune139.0ms (1.6%)

Pruning

22 alts after pruning (12 fresh and 10 done)

	Pruned	Kept	Total
New	438	4	442
Fresh	4	8	12
Picked	2	3	5
Done	0	7	7
Total	444	22	466

Accuracy

100.0%

Counts

466 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	44.2%	(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
✓	79.6%	(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
	71.4%	(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
	33.5%	(+.f64 #s(literal 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)))))))
	27.2%	(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))))
✓	9.5%	(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
	27.5%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))
✓	79.6%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
	44.2%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
✓	57.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
	54.7%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
	9.5%	(*.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) im)))
✓	49.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
	40.6%	(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
✓	66.0%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	4.6%	(*.f64 #s(literal 1/2 binary64) im)
	8.0%	(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
	4.0%	(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
✓	52.9%	(cos.f64 re)
	8.7%	#s(literal 2 binary64)
✓	30.2%	#s(literal 1 binary64)
✓	9.6%	#s(literal 3/4 binary64)

Compiler

Compiled 491 to 268 computations (45.4% saved)

regimes57.0ms (0.7%)

Counts

32 → 1

Calls

Call 1

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

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

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)

regimes42.0ms (0.5%)

Counts

28 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
91.5%	2	`re`
99.9%	2	`im`
91.5%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
91.5%	2	`(cos.f64 re)`
99.9%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 24 to 18 computations (25% saved)

regimes17.0ms (0.2%)

Counts

27 → 2

Calls

Call 1

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

Outputs
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))

Calls

2 calls:

8.0ms	im
7.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
99.3%	2	`im`
99.3%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes16.0ms (0.2%)

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

7.0ms	im
7.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
96.6%	3	`im`
88.4%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes10.0ms (0.1%)

Counts

24 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

im

Results

Accuracy	Segments	Branch
96.6%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

23 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

im

Results

Accuracy	Segments	Branch
95.8%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes27.0ms (0.3%)

Counts

19 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
71.4%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
71.4%	1	`(cos.f64 re)`
71.4%	1	`re`
90.4%	3	`im`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes139.0ms (1.6%)

Counts

18 → 3

Calls

Call 1

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

Outputs

(cos.f64 re)

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

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

Calls

1 calls:

138.0ms

im

Results

Accuracy	Segments	Branch
90.1%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

15 → 3

Calls

Call 1

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

Outputs

(cos.f64 re)

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

Calls

1 calls:

5.0ms

im

Results

Accuracy	Segments	Branch
79.4%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

12 → 3

Calls

Call 1

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

Outputs

#s(literal 1 binary64)

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

Calls

2 calls:

4.0ms	im
4.0ms	re

Results

Accuracy	Segments	Branch
45.8%	5	`re`
56.9%	3	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes122.0ms (1.4%)

Counts

11 → 2

Calls

Call 1

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

1 calls:

121.0ms

im

Results

Accuracy	Segments	Branch
55.0%	2	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

im

Results

Accuracy	Segments	Branch
48.7%	2	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary64)

Calls

2 calls:

3.0ms	im
3.0ms	re

Results

Accuracy	Segments	Branch
30.2%	1	`re`
30.2%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes34.0ms (0.4%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 3/4 binary64)

Outputs
#s(literal 3/4 binary64)

Calls

2 calls:

33.0ms	im
1.0ms	re

Results

Accuracy	Segments	Branch
9.6%	1	`im`
9.6%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.000000437185265	+inf

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.000000437185265	+inf

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch46.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
31.0ms	2.5989311767066694e+101	9.015670590516473e+103
12.0ms	0.00010700297180775622	0.0006611998554282129

Results

35.0ms

224×

valid

Compiler

Compiled 406 to 316 computations (22.2% saved)

Precisions

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

ival-exp: 18.0ms (63.6% of total)

ival-cos: 5.0ms (17.7% of total)

ival-mult: 3.0ms (10.6% of total)

ival-add: 1.0ms (3.5% of total)

ival-neg: 1.0ms (3.5% of total)

const: 0.0ms (0% of total)

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

bsearch45.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.5989311767066694e+101	9.015670590516473e+103
26.0ms	0.00010700297180775622	0.0006611998554282129

Results

21.0ms

224×

valid

Compiler

Compiled 546 to 400 computations (26.7% saved)

Precisions

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

ival-cos: 5.0ms (34.4% of total)

ival-exp: 4.0ms (27.5% of total)

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

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

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

const: 0.0ms (0% of total)

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

bsearch45.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	7.112766338845332e+150	6.98687359161081e+155
21.0ms	0.0006611998554282129	7372.877659642653

Results

29.0ms

288×

valid

Compiler

Compiled 396 to 320 computations (19.2% saved)

Precisions

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

ival-cos: 8.0ms (37.8% of total)

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

ival-exp: 4.0ms (18.9% of total)

ival-add: 1.0ms (4.7% of total)

ival-neg: 1.0ms (4.7% of total)

const: 0.0ms (0% of total)

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

bsearch87.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	4.073237257741006e+167	6.368927769540966e+168
75.0ms	0.0006611998554282129	7372.877659642653

Results

75.0ms

208×

valid

Compiler

Compiled 314 to 254 computations (19.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-add: 57.0ms (82.5% of total)

ival-cos: 4.0ms (5.8% of total)

ival-exp: 3.0ms (4.3% of total)

ival-mult: 3.0ms (4.3% of total)

ival-neg: 1.0ms (1.4% of total)

const: 0.0ms (0% of total)

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

bsearch26.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	4.073237257741006e+167	6.368927769540966e+168
22.0ms	0.0006611998554282129	7372.877659642653

Results

18.0ms

160×

valid

Compiler

Compiled 173 to 146 computations (15.6% saved)

Precisions

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

ival-add: 4.0ms (29.5% of total)

ival-cos: 4.0ms (29.5% of total)

ival-exp: 3.0ms (22.2% of total)

ival-mult: 2.0ms (14.8% of total)

ival-neg: 1.0ms (7.4% of total)

const: 0.0ms (0% of total)

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

bsearch32.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	4.073237257741006e+167	6.368927769540966e+168
17.0ms	4.417234800898074e+24	4.148533997876339e+28

Results

21.0ms

224×

valid

Compiler

Compiled 402 to 324 computations (19.4% saved)

Precisions

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

ival-cos: 5.0ms (35.6% of total)

ival-mult: 4.0ms (28.5% of total)

ival-exp: 2.0ms (14.3% of total)

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

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

const: 0.0ms (0% of total)

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

bsearch32.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	4.073237257741006e+167	6.368927769540966e+168
22.0ms	0.0006611998554282129	7372.877659642653

Results

20.0ms

208×

valid

Compiler

Compiled 342 to 283 computations (17.3% saved)

Precisions

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

ival-cos: 5.0ms (35.5% of total)

ival-exp: 3.0ms (21.3% of total)

ival-mult: 3.0ms (21.3% of total)

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

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

const: 0.0ms (0% of total)

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

bsearch21.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.0006611998554282129	7372.877659642653

Results

14.0ms

144×

valid

Compiler

Compiled 198 to 167 computations (15.7% saved)

Precisions

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

ival-exp: 3.0ms (29% of total)

ival-cos: 3.0ms (29% of total)

ival-mult: 2.0ms (19.3% of total)

ival-add: 1.0ms (9.7% of total)

ival-neg: 1.0ms (9.7% of total)

const: 0.0ms (0% of total)

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

bsearch23.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	0.0006611998554282129	7372.877659642653

Results

16.0ms

144×

valid

Compiler

Compiled 162 to 140 computations (13.6% saved)

Precisions

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

ival-exp: 4.0ms (32.5% of total)

ival-cos: 3.0ms (24.4% of total)

ival-add: 2.0ms (16.3% of total)

ival-mult: 2.0ms (16.3% of total)

ival-neg: 1.0ms (8.1% of total)

const: 0.0ms (0% of total)

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

simplify26.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

27×	`*-commutative`
20×	`+-commutative`
5×	`neg-mul-1`
4×	`unsub-neg`
3×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	1320
1	167	1320
2	172	1320
3	178	1320
4	185	1320
5	194	1320

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)))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 4 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 #s(literal 3 binary64) (exp.f64 im))))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 4 binary64)) (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 1498797955988901/2305843009213693952 binary64)) (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (if (<=.f64 im #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 1498797955988901/2305843009213693952 binary64)) (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (if (<=.f64 im #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 5854679515581645/2251799813685248 binary64)) (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (if (<=.f64 im #s(literal 27000000000000000551014021370351243052980237974185272913314250084518251643289914535899806779332918392493800176419193521216216634153908468898165478989496320 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64)) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (.f64 im #s(literal 1/4 binary64)))))))
(if (<=.f64 im #s(literal 5854679515581645/2251799813685248 binary64)) (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (if (<=.f64 im #s(literal 4999999999999999669302474173714872811859751082151657593058464111538503233498018238128462162979229735854572772998492607377696904067224063966397292527018643087471925002240 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im)))))))
(if (<=.f64 im #s(literal 7/2 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 499999999999999966930247417371487281185975108215165759305846411153850323349801823812846216297922973585457277299849260737769690406722406396639729252701864308747192500224 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im)))))))
(if (<=.f64 im #s(literal 3399999999999999990202105856 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 999999999999999933860494834742974562371950216430331518611692822307700646699603647625692432595845947170914554599698521475539380813444812793279458505403728617494385000448 binary64)) (+.f64 #s(literal 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 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im)))))))
(if (<=.f64 im #s(literal 5674535530486825/4503599627370496 binary64)) #s(literal 1 binary64) (if (<=.f64 im #s(literal 3999999999999999735441979338971898249487800865721326074446771289230802586798414590502769730383383788683658218398794085902157523253779251173117834021614914469977540001792 binary64)) (+.f64 #s(literal 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 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im)))))))
(if (<=.f64 im #s(literal 5674535530486825/4503599627370496 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 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))))))))
(if (<=.f64 im #s(literal 5674535530486825/4503599627370496 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im)))))
#s(literal 1 binary64)
#s(literal 3/4 binary64)

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 4 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 #s(literal 3 binary64) (exp.f64 im))))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 4 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 im) #s(literal 3 binary64))))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 4 binary64)) (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 4 binary64)) (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) #s(literal 3 binary64))))
(if (<=.f64 im #s(literal 1498797955988901/2305843009213693952 binary64)) (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (if (<=.f64 im #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 1498797955988901/2305843009213693952 binary64)) (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (if (<=.f64 im #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 1498797955988901/2305843009213693952 binary64)) (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (if (<=.f64 im #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal -1/6 binary64)))) #s(literal 1 binary64)))))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 1498797955988901/2305843009213693952 binary64)) (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (if (<=.f64 im #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 5854679515581645/2251799813685248 binary64)) (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (if (<=.f64 im #s(literal 27000000000000000551014021370351243052980237974185272913314250084518251643289914535899806779332918392493800176419193521216216634153908468898165478989496320 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64)) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (.f64 im #s(literal 1/4 binary64)))))))
(if (<=.f64 im #s(literal 5854679515581645/2251799813685248 binary64)) (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (if (<=.f64 im #s(literal 4999999999999999669302474173714872811859751082151657593058464111538503233498018238128462162979229735854572772998492607377696904067224063966397292527018643087471925002240 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im)))))))
(if (<=.f64 im #s(literal 5854679515581645/2251799813685248 binary64)) (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (if (<=.f64 im #s(literal 4999999999999999669302474173714872811859751082151657593058464111538503233498018238128462162979229735854572772998492607377696904067224063966397292527018643087471925002240 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64))))))))
(if (<=.f64 im #s(literal 7/2 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 499999999999999966930247417371487281185975108215165759305846411153850323349801823812846216297922973585457277299849260737769690406722406396639729252701864308747192500224 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im)))))))
(if (<=.f64 im #s(literal 7/2 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 499999999999999966930247417371487281185975108215165759305846411153850323349801823812846216297922973585457277299849260737769690406722406396639729252701864308747192500224 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64))))))))
(if (<=.f64 im #s(literal 3399999999999999990202105856 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 999999999999999933860494834742974562371950216430331518611692822307700646699603647625692432595845947170914554599698521475539380813444812793279458505403728617494385000448 binary64)) (+.f64 #s(literal 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 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im)))))))
(if (<=.f64 im #s(literal 3399999999999999990202105856 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 999999999999999933860494834742974562371950216430331518611692822307700646699603647625692432595845947170914554599698521475539380813444812793279458505403728617494385000448 binary64)) (+.f64 #s(literal 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 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64))))))))
(if (<=.f64 im #s(literal 5674535530486825/4503599627370496 binary64)) #s(literal 1 binary64) (if (<=.f64 im #s(literal 3999999999999999735441979338971898249487800865721326074446771289230802586798414590502769730383383788683658218398794085902157523253779251173117834021614914469977540001792 binary64)) (+.f64 #s(literal 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 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im)))))))
(if (<=.f64 im #s(literal 5674535530486825/4503599627370496 binary64)) #s(literal 1 binary64) (if (<=.f64 im #s(literal 3999999999999999735441979338971898249487800865721326074446771289230802586798414590502769730383383788683658218398794085902157523253779251173117834021614914469977540001792 binary64)) (+.f64 #s(literal 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 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64))))))))
(if (<=.f64 im #s(literal 5674535530486825/4503599627370496 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 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))))))))
(if (<=.f64 im #s(literal 5674535530486825/4503599627370496 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im)))))
(if (<=.f64 im #s(literal 5674535530486825/4503599627370496 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64))))))
#s(literal 1 binary64)
#s(literal 3/4 binary64)

soundness963.0ms (11.2%)

Rules

1176×	`log1p-expm1-u`
1145×	`log1p-expm1-u`
783×	`times-frac`
719×	`fma-define`
719×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	616	11459
1	1550	10515
2	5361	9781
0	280	6216
1	754	5559
2	2549	5508
3	6569	5393
0	30	208
1	445	184
2	6293	184
0	16	85
1	202	85
2	3306	85
0	27	220
1	374	197
2	5324	197
0	197	3069
1	505	2795
2	1610	2620
3	5037	2588

Stop Event

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

Compiler

Compiled 837 to 294 computations (64.9% saved)

preprocess127.0ms (1.5%)

Remove

(abs im)

(abs re)

Compiler

Compiled 936 to 350 computations (62.6% saved)

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

Iter	Nodes	Cost
0	28	315
1	60	284
2	126	280
3	233	280
4	326	280
5	372	280
6	457	280
7	509	280
8	534	280
9	535	280

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

Iter	Nodes	Cost
0	28	315
1	60	284
2	126	280
3	233	280
4	326	280
5	372	280
6	457	280
7	509	280
8	534	280
9	535	280

analyze0.0ms (0%)

sample1.5s (17.6%)

preprocess144.0ms (1.7%)

explain112.0ms (1.3%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify20.0ms (0.2%)

localize48.0ms (0.6%)

series130.0ms (1.5%)

rewrite196.0ms (2.3%)

simplify86.0ms (1%)

eval53.0ms (0.6%)

prune21.0ms (0.2%)

simplify169.0ms (2%)

localize106.0ms (1.2%)

series22.0ms (0.3%)

rewrite60.0ms (0.7%)

simplify135.0ms (1.6%)

eval199.0ms (2.3%)

prune633.0ms (7.4%)

simplify51.0ms (0.6%)

localize310.0ms (3.6%)

series26.0ms (0.3%)

rewrite315.0ms (3.7%)

simplify262.0ms (3%)

eval409.0ms (4.8%)

prune75.0ms (0.9%)

simplify84.0ms (1%)

localize162.0ms (1.9%)

series17.0ms (0.2%)

rewrite403.0ms (4.7%)

simplify612.0ms (7.1%)

eval117.0ms (1.4%)

prune139.0ms (1.6%)

regimes57.0ms (0.7%)

regimes42.0ms (0.5%)

regimes17.0ms (0.2%)

regimes16.0ms (0.2%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes27.0ms (0.3%)

regimes139.0ms (1.6%)

regimes6.0ms (0.1%)

regimes9.0ms (0.1%)

regimes122.0ms (1.4%)

regimes4.0ms (0.1%)

regimes7.0ms (0.1%)

regimes34.0ms (0.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch46.0ms (0.5%)

bsearch45.0ms (0.5%)

bsearch45.0ms (0.5%)

bsearch87.0ms (1%)

bsearch26.0ms (0.3%)

bsearch32.0ms (0.4%)

bsearch32.0ms (0.4%)

bsearch21.0ms (0.2%)

bsearch23.0ms (0.3%)

simplify26.0ms (0.3%)

soundness963.0ms (11.2%)

preprocess127.0ms (1.5%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	28	315
1	60	284
2	126	280
3	233	280
4	326	280
5	372	280
6	457	280
7	509	280
8	534	280
9	535	280