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)

sample1.2s (14.4%)

Results

941.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 666.0ms

ival-cos: 216.0ms (32.4% of total)

ival-mult: 144.0ms (21.6% of total)

ival-add: 141.0ms (21.2% of total)

ival-exp: 113.0ms (17% of total)

ival-neg: 40.0ms (6% of total)

const: 10.0ms (1.5% of total)

backward-pass: 2.0ms (0.3% of total)

Bogosity

preprocess142.0ms (1.8%)

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)

explain173.0ms (2.1%)

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`(exp.f64 im)`
0	-	-	`(neg.f64 im)`
1	(3.390866075247056e+127 500.78885542000233)	-	`(exp.f64 (neg.f64 im))`
0	-	-	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
0	-	-	`(cos.f64 re)`
0	-	-	`im`
0	-	-	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
0	-	-	`re`
0	-	-	`#s(literal 1/2 binary64)`
0	-	-	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f64`	`(exp.f64 (neg.f64 im))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	0	0
-	1	255

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	1	0	255

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	1	0	0

Precision?

0.0

Recall?

0/0

Results

101.0ms

512×

valid

Compiler

Compiled 98 to 42 computations (57.1% saved)

Precisions

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

ival-cos: 12.0ms (36.9% of total)

ival-mult: 8.0ms (24.6% of total)

ival-exp: 7.0ms (21.6% of total)

ival-add: 3.0ms (9.2% of total)

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

const: 1.0ms (3.1% 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)

localize46.0ms (0.6%)

Localize:

Found 4 expressions of interest:

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

Results

32.0ms

256×

valid

Compiler

Compiled 36 to 11 computations (69.4% saved)

Precisions

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

ival-exp: 6.0ms (30.9% of total)

ival-cos: 6.0ms (30.9% of total)

ival-mult: 4.0ms (20.6% of total)

ival-add: 1.0ms (5.2% of total)

ival-neg: 1.0ms (5.2% of total)

const: 0.0ms (0% of total)

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

series15.0ms (0.2%)

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
3.0ms	re	@	-inf	(* 1/2 (cos re))
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)))
1.0ms	re	@	0	(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
1.0ms	re	@	inf	(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))

rewrite283.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	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)

simplify91.0ms (1.1%)

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

eval19.0ms (0.2%)

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

prune22.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	135	6	141
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	135	7	142

Accuracy

100.0%

Counts

142 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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)))
▶	74.7%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
	69.1%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
✓	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	57.2%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
▶	66.3%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	52.9%	(cos.f64 re)

Compiler

Compiled 161 to 122 computations (24.2% saved)

simplify167.0ms (2.1%)

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)

localize107.0ms (1.3%)

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%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (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%	(cos.f64 re)
	accuracy	100.0%	(cos.f64 re)
✓	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	99.5%	(log.f64 (exp.f64 (cos.f64 re)))

Results

70.0ms

256×

valid

Compiler

Compiled 121 to 21 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 10.0ms (27.9% of total)

ival-cos: 8.0ms (22.3% of total)

ival-exp: 6.0ms (16.7% of total)

ival-fma: 4.0ms (11.2% of total)

ival-add: 3.0ms (8.4% of total)

ival-log: 3.0ms (8.4% of total)

const: 1.0ms (2.8% of total)

ival-neg: 1.0ms (2.8% of total)

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

series22.0ms (0.3%)

Counts

10 → 140

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 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<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 #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (.f64 #s(literal -1 binary64) im))))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (.f64 #s(literal -1 binary64) im))))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (.f64 #s(literal -1 binary64) im))))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (.f64 #s(literal -1 binary64) im))))>
#<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

39 calls:

Time	Variable		Point	Expression
2.0ms	re	@	inf	(* (* 1/2 (cos re)) (+ (* im im) 2))
2.0ms	re	@	0	(* (* 1/2 (cos re)) (+ (* im im) 2))
1.0ms	im	@	inf	(* (* 1/2 (cos re)) (+ (* im im) 2))
1.0ms	re	@	0	(* (* 1/2 (cos re)) (+ 3 (exp im)))
1.0ms	im	@	-inf	(* (* 1/2 (cos re)) (+ 3 (exp im)))

rewrite50.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

186×	`associate-r`
158×	`add-exp-log`
158×	`log1p-expm1-u`
158×	`expm1-log1p-u`
157×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	114
1	365	114
2	6037	114

Stop Event

1×

unsound

Counts

10 → 317

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 #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 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 (exp.f64 (cos.f64 re)) (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)))
(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))
(pow.f64 #s(literal -28 binary64) (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))))
(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)
#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))

simplify219.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

600×	`distribute-lft-in`
587×	`distribute-rgt-in`
539×	`associate-+l+`
511×	`associate-+r+`
432×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	293	6643
1	794	5876
2	2657	5817
3	6761	5817

Stop Event

1×	node limit

Counts

457 → 231

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)))))
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#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)
#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))

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 #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 (.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 (pow.f64 re #s(literal 2 binary64)) (pow.f64 re #s(literal 2 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)))))
(.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 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 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) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/24 binary64) (cos.f64 re)))))))
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(/.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))
(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))
(+.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))
(-.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 (exp.f64 (cos.f64 re)) (exp.f64 (cos.f64 re)))
(exp.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(pow.f64 (exp.f64 (cos.f64 re)) #s(literal 2 binary64))
(*.f64 (exp.f64 (cos.f64 re)) #s(literal -28 binary64))
(*.f64 #s(literal -28 binary64) (exp.f64 (cos.f64 re)))
(*.f64 #s(literal -28 binary64) (exp.f64 (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)))
(pow.f64 #s(literal -28 binary64) (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)
#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))

eval109.0ms (1.4%)

Compiler: Compiled 7995 to 1412 computations (82.3% saved)

prune231.0ms (2.9%)

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	555	13	568
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	555	20	575

Accuracy

100.0%

Counts

575 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	42.5%	(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
	35.8%	(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
✓	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)))
	57.2%	(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
✓	74.7%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
▶	69.1%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
✓	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	12.4%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 im #s(literal 4 binary64)))
	40.9%	(.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))))))))
▶	32.8%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
✓	57.2%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
	11.4%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
	47.9%	(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
	41.7%	(.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)))
✓	66.3%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	9.3%	(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
	7.8%	(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
	4.1%	(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
✓	52.9%	(cos.f64 re)
▶	31.6%	#s(literal 1 binary64)

Compiler

Compiled 366 to 290 computations (20.8% saved)

simplify92.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

572×	`fma-neg`
571×	`distribute-lft-in`
563×	`sub-neg`
511×	`distribute-rgt-in`
428×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	539
1	88	475
2	250	475
3	708	471
4	1945	471
5	3669	471
6	4450	471
7	6718	471

Stop Event

1×	node limit

Calls

Call 1

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

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

localize169.0ms (2.1%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) im)
	accuracy	100.0%	(cos.f64 re)
✓	accuracy	100.0%	(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))
✓	accuracy	99.9%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 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	99.9%	(.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))
✓	accuracy	99.9%	(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im)))
✓	accuracy	99.4%	(*.f64 #s(literal -1/6 binary64) im)
✓	accuracy	76.0%	(+.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))

Results

131.0ms

256×

valid

Compiler

Compiled 171 to 27 computations (84.2% saved)

Precisions

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

ival-add: 55.0ms (55.3% of total)

ival-mult: 30.0ms (30.2% of total)

ival-cos: 6.0ms (6% of total)

...c/correct-round.rkt:121:19: 4.0ms (4% of total)

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

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

const: 1.0ms (1% of total)

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

series24.0ms (0.3%)

Counts

10 → 80

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal -1/6 binary64) im)>
#<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 1/2 binary64) im)>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))>
#<alt (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im))>
#<alt (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im)))>
#<alt (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))>
#<alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))>

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

30 calls:

Time	Variable		Point	Expression
3.0ms	im	@	inf	(* 1/2 im)
1.0ms	re	@	inf	(* (* 1/2 (cos re)) (+ 4 (* im (+ 1 (* 1/2 im)))))
1.0ms	re	@	0	(* (* 1/2 (cos re)) (+ 4 (* im (+ 1 (* 1/2 im)))))
1.0ms	im	@	inf	(+ (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) (exp im))
1.0ms	re	@	-inf	(* (* 1/2 (cos re)) (+ 4 (* im (+ 1 (* 1/2 im)))))

rewrite224.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

732×	`log1p-expm1-u`
228×	`expm1-log1p-u`
223×	`add-exp-log`
223×	`add-log-exp`
222×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	242
1	496	214
2	7308	214

Stop Event

1×	node limit

Counts

10 → 209

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/6 binary64) im)) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/6 binary64) im)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/6 binary64)) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/6 binary64) im))))
(cbrt.f64 (*.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/6 binary64) im)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/6 binary64) im)))
(exp.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) im)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/6 binary64) im)) #s(literal 1 binary64)))
#s(literal 3/4 binary64)
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(exp.f64 (+.f64 im (log.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (+.f64 im (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -3/2 binary64))) (/.f64 #s(literal 9/4 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -3/2 binary64))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))
(.f64 (+.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 27/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 9/4 binary64) (.f64 (exp.f64 im) #s(literal 3/4 binary64))))))
(.f64 (+.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -9/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -3/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 9/4 binary64) (.f64 (exp.f64 im) #s(literal 3/4 binary64)))) (+.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 27/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -3/2 binary64)) (+.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -9/4 binary64))))
(/.f64 (+.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 27/8 binary64)) (+.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 9/4 binary64) (*.f64 (exp.f64 im) #s(literal 3/4 binary64)))))
(/.f64 (+.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 27/8 binary64)) (+.f64 #s(literal 9/4 binary64) (-.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (exp.f64 im) #s(literal 3/4 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -9/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -3/2 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 27/8 binary64))) (neg.f64 (+.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 9/4 binary64) (*.f64 (exp.f64 im) #s(literal 3/4 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -9/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -3/2 binary64))))
(/.f64 (-.f64 #s(literal 9/4 binary64) (.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
(fma.f64 (exp.f64 im) #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 3/2 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 3/2 binary64))
(-.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im #s(literal 1/2 binary64))) #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 im #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 im #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 im #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 im #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 im (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 im (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) im)
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #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 im (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (.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 im (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal -1/2 binary64) im))))
(/.f64 (.f64 im (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) im)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) im) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal -1/2 binary64) im))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64))) im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) im)))
(pow.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 im #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) im (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 im) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 im) (sqrt.f64 im) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 im) (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
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(pow.f64 (*.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 im (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(+.f64 (.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 im (.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (.f64 (cos.f64 re) #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 im (.f64 #s(literal 1/2 binary64) (cos.f64 re)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 4 binary64)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 im (.f64 #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 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 im (.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 im (.f64 #s(literal 1/2 binary64) (cos.f64 re))))) (.f64 (.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 im (*.f64 #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 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 im (.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 im (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))) (-.f64 (.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 im (.f64 #s(literal 1/2 binary64) (cos.f64 re))))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 64 binary64))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 #s(literal 16 binary64) (pow.f64 (.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 4 binary64) (.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 64 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (-.f64 #s(literal 4 binary64) (.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 4 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 4 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 4 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (cos.f64 re)) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 4 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 4 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 4 binary64))))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 4 binary64))))))
(exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 4 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 4 binary64))))) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 4 binary64) (.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 im (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(fma.f64 #s(literal 4 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 im (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))

simplify738.0ms (9.1%)

Algorithm

1×	egg-herbie

Rules

474×	`cancel-sign-sub-inv`
474×	`times-frac`
408×	`fma-neg`
364×	`associate-r`
346×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	629	12046
1	1598	11251
2	5276	10981

Stop Event

1×	node limit

Counts

289 → 379

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))))
(+.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))))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 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 #s(literal 1/12 binary64) im))))))
(+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
im
(*.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) im)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))
(*.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) im)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/120 binary64) im))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))) (/.f64 (exp.f64 im) (pow.f64 im #s(literal 3 binary64))))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) im)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))) im))) im)))))
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 binary64)))
(*.f64 #s(literal -1 binary64) im)
(.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) im)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) im)))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))) (.f64 #s(literal 1/48 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))) (.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
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(+.f64 (.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 im (.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (.f64 (cos.f64 re) #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 im (.f64 #s(literal 1/2 binary64) (cos.f64 re)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 4 binary64)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 im (.f64 #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 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 im (.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 im (.f64 #s(literal 1/2 binary64) (cos.f64 re))))) (.f64 (.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 im (*.f64 #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 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 im (.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 im (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))) (-.f64 (.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 im (.f64 #s(literal 1/2 binary64) (cos.f64 re))))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 64 binary64))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 #s(literal 16 binary64) (pow.f64 (.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 4 binary64) (.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 64 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (-.f64 #s(literal 4 binary64) (.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 4 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 4 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 4 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (cos.f64 re)) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 4 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 4 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 4 binary64))))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 4 binary64))))))
(exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 4 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 4 binary64))))) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 4 binary64) (.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 im (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(fma.f64 #s(literal 4 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 im (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))

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

eval136.0ms (1.7%)

Compiler: Compiled 11830 to 2107 computations (82.2% saved)

prune90.0ms (1.1%)

Pruning

26 alts after pruning (18 fresh and 8 done)

	Pruned	Kept	Total
New	529	10	539
Fresh	1	8	9
Picked	2	3	5
Done	1	5	6
Total	533	26	559

Accuracy

100.0%

Counts

559 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.2%	(+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))) #s(literal 2 binary64))
	24.5%	(+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))) #s(literal 2 binary64))
✓	42.5%	(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
▶	9.3%	(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
	35.8%	(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
▶	28.3%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
	31.5%	(.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
	9.2%	(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 re #s(literal 2 binary64)))) #s(literal -2 binary64))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
✓	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)))
▶	57.2%	(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
	52.2%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64)))))))))
	51.7%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))
✓	69.1%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
✓	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	12.4%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 im #s(literal 4 binary64)))
✓	57.2%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
	11.4%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
▶	47.9%	(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
	41.7%	(.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)))
✓	66.3%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	7.8%	(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
	4.1%	(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
✓	52.9%	(cos.f64 re)
	8.6%	#s(literal 2 binary64)
✓	31.6%	#s(literal 1 binary64)
▶	9.3%	#s(literal 3/4 binary64)

Compiler

Compiled 559 to 430 computations (23.1% saved)

simplify89.0ms (1.1%)

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) (pow.f64 re #s(literal 2 binary64))))
	cost-diff	0	(*.f64 #s(literal 1/2 binary64) im)
✓	cost-diff	0	(pow.f64 re #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
	cost-diff	0	(fma.f64 im im #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (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	0	(exp.f64 (cos.f64 re))
✓	cost-diff	6528	(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 #s(literal 3 binary64) (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

531×	`associate-+l-`
513×	`distribute-rgt-neg-in`
474×	`distribute-rgt-in`
470×	`distribute-lft-in`
453×	`sub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	383
1	75	347
2	193	347
3	518	343
4	1592	343
5	3226	343
6	4359	343
7	5894	343

Stop Event

1×	node limit

Calls

Call 1

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

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

localize222.0ms (2.8%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) im)
✓	accuracy	100.0%	(*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
✓	accuracy	100.0%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
	accuracy	100.0%	(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 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%	(+.f64 #s(literal 3 binary64) (exp.f64 im))
✓	accuracy	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
	accuracy	99.9%	(exp.f64 (cos.f64 re))
	accuracy	99.5%	(log.f64 (exp.f64 (cos.f64 re)))

Results

189.0ms

256×

valid

Compiler

Compiled 127 to 28 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 12.0ms (27.3% of total)

ival-add: 9.0ms (20.5% of total)

ival-cos: 6.0ms (13.7% of total)

ival-log: 5.0ms (11.4% of total)

ival-exp: 4.0ms (9.1% of total)

ival-fma: 3.0ms (6.8% of total)

ival-pow: 3.0ms (6.8% of total)

const: 1.0ms (2.3% of total)

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

series12.0ms (0.2%)

Counts

7 → 78

Calls

Call 1

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

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

Calls

27 calls:

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

rewrite199.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1018×	`log1p-expm1-u`
216×	`associate-r`
213×	`expm1-log1p-u`
210×	`add-exp-log`
210×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	176
1	481	156
2	6582	156

Stop Event

1×	node limit

Counts

7 → 181

Calls

Call 1

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

Outputs
(+.f64 (.f64 (cos.f64 re) #s(literal 3/2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (exp.f64 im))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (exp.f64 im))) (*.f64 (cos.f64 re) #s(literal 3/2 binary64)))
(+.f64 (.f64 (.f64 (cos.f64 re) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (exp.f64 im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 re) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (exp.f64 im))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (cos.f64 re) #s(literal 3/2 binary64)) (.f64 (cos.f64 re) #s(literal 3/2 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (exp.f64 im))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (exp.f64 im)))) (.f64 (.f64 (cos.f64 re) #s(literal 3/2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (exp.f64 im)))))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 re) #s(literal 3/2 binary64)) (.f64 (cos.f64 re) #s(literal 3/2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (exp.f64 im))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (exp.f64 im))))) (-.f64 (.f64 (cos.f64 re) #s(literal 3/2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (exp.f64 im)))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 27 binary64))) (+.f64 #s(literal 9 binary64) (*.f64 (exp.f64 im) (-.f64 (exp.f64 im) #s(literal 3 binary64)))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 #s(literal 9 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (-.f64 #s(literal 3 binary64) (exp.f64 im)))
(/.f64 (.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 27 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (+.f64 #s(literal 9 binary64) (*.f64 (exp.f64 im) (-.f64 (exp.f64 im) #s(literal 3 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (-.f64 #s(literal 3 binary64) (exp.f64 im)))
(pow.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 re))) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)))))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))))))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))))))
(exp.f64 (log.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))))) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (exp.f64 im))))
(fma.f64 #s(literal 3 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (exp.f64 im))))
(-.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))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) im #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 2 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) im))))
(.f64 (-.f64 #s(literal 4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) im))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) im)) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 3 binary64)) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) im)) (-.f64 #s(literal 4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) im)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 4 binary64) im)))
(/.f64 (-.f64 #s(literal 4 binary64) (.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)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) im))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) im))))
(/.f64 (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 2 binary64)))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 2 binary64))) #s(literal 1 binary64)))
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(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 im (.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 4 binary64))) (-.f64 (.f64 (.f64 im (.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (.f64 im (.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (.f64 im (*.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 4 binary64))) (.f64 (.f64 im (.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (.f64 im (.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (.f64 im (*.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 64 binary64))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))) (-.f64 (*.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))) #s(literal 4 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 16 binary64) (pow.f64 (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 4 binary64) (*.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)))))
(/.f64 (.f64 (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)) (+.f64 (.f64 (pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/64 binary64)) #s(literal 1/8 binary64))) (-.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64))) (.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 (.f64 (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/64 binary64)) #s(literal 1/8 binary64)) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64))) (.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64))) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))) (-.f64 (*.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))) #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))) #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 4 binary64) (*.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)))))
(pow.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)))))
(exp.f64 (log.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 4 binary64) (.f64 im (.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 im (.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))))

simplify228.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

661×	`times-frac`
462×	`associate-r`
434×	`associate-l`
336×	`fma-neg`
303×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	542	10766
1	1494	10395
2	5746	9962

Stop Event

1×	node limit

Counts

259 → 290

Calls

Call 1

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

Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
(+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (pow.f64 re #s(literal 2 binary64))) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #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)))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)) (.f64 (*.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/48 binary64)))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (+.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/48 binary64)))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(+.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))))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (pow.f64 re #s(literal 2 binary64))) (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/48 binary64) (exp.f64 im))))))))
(+.f64 (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64)) #s(literal 1/48 binary64))) (pow.f64 re #s(literal 4 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (cos.f64 re)))
(.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (cos.f64 re)))
(.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (cos.f64 re)))
(.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (cos.f64 re)))
(.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (cos.f64 re)))
(.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (cos.f64 re)))
(.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (cos.f64 re)))
(.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (cos.f64 re)))
(.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im (cos.f64 re))) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 #s(literal 1/2 binary64) (.f64 im (cos.f64 re)) (.f64 #s(literal 2 binary64) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) im #s(literal 2 binary64)))
(+.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)))))
(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)))))
(fma.f64 im (.f64 (cos.f64 re) (+.f64 (.f64 im #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(+.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)))))))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/12 binary64) (.f64 im (cos.f64 re)) (.f64 (cos.f64 re) #s(literal 1/4 binary64)))))))
(+.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) im #s(literal 2 binary64))) (.f64 (.f64 (cos.f64 re) (+.f64 (.f64 im #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) (pow.f64 im #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (cos.f64 re)))
(.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (cos.f64 re)))
(.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (cos.f64 re)))
(.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (cos.f64 re)))
(.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (cos.f64 re)))
(.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (cos.f64 re)))
(.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (cos.f64 re)))
(.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (cos.f64 re)))
(.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
#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) im)))
(fma.f64 #s(literal 1/2 binary64) im #s(literal 2 binary64))
(.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) im)))
(fma.f64 #s(literal 1/2 binary64) im #s(literal 2 binary64))
(.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) im)))
(fma.f64 #s(literal 1/2 binary64) im #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) im)))
(fma.f64 #s(literal 1/2 binary64) im #s(literal 2 binary64))
(.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) im)))
(fma.f64 #s(literal 1/2 binary64) im #s(literal 2 binary64))
(.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) im)))
(fma.f64 #s(literal 1/2 binary64) im #s(literal 2 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #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 #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))
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(*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)))))
(*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)))
(exp.f64 (log.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)))))
(*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 4 binary64) (.f64 im (.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) (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)) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 im (.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) (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)) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)))

eval127.0ms (1.6%)

Compiler: Compiled 8695 to 1594 computations (81.7% saved)

prune86.0ms (1.1%)

Pruning

30 alts after pruning (18 fresh and 12 done)

	Pruned	Kept	Total
New	458	5	463
Fresh	0	13	13
Picked	1	4	5
Done	0	8	8
Total	459	30	489

Accuracy

100.0%

Counts

489 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.2%	(+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))) #s(literal 2 binary64))
	24.5%	(+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))) #s(literal 2 binary64))
✓	42.5%	(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
✓	9.3%	(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
	13.1%	(+.f64 #s(literal 2 binary64) (neg.f64 (pow.f64 re #s(literal 2 binary64))))
	35.8%	(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
	28.3%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 re re))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
	31.5%	(.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
	9.2%	(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 re #s(literal 2 binary64)))) #s(literal -2 binary64))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
✓	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)))
✓	57.2%	(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
	52.2%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64)))))))))
	51.7%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))
✓	69.1%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
✓	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	12.4%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 im #s(literal 4 binary64)))
✓	57.2%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
	12.2%	(.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
	9.3%	(*.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) im)))
	11.4%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
✓	47.9%	(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
	41.7%	(.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)))
✓	66.3%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	4.4%	(*.f64 #s(literal 1/2 binary64) im)
	7.8%	(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
	4.1%	(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
✓	52.9%	(cos.f64 re)
	8.6%	#s(literal 2 binary64)
✓	31.6%	#s(literal 1 binary64)
✓	9.3%	#s(literal 3/4 binary64)

Compiler

Compiled 727 to 382 computations (47.5% saved)

regimes61.0ms (0.8%)

Counts

35 → 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 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))) #s(literal 2 binary64))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 re re))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 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 #s(literal 2 binary64) (neg.f64 (pow.f64 re #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 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
(.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
(.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 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 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 re #s(literal 2 binary64)))) #s(literal -2 binary64))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64)))))))))
(*.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 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 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
(.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:

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

Results

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

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes100.0ms (1.2%)

Counts

32 → 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 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))) #s(literal 2 binary64))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 re re))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 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 #s(literal 2 binary64) (neg.f64 (pow.f64 re #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 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
(.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
(.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 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 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 re #s(literal 2 binary64)))) #s(literal -2 binary64))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64)))))))))
(*.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 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 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))

Outputs

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

Calls

5 calls:

62.0ms	re
9.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
9.0ms	im
9.0ms	(cos.f64 re)
8.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
86.5%	2	`re`
99.2%	2	`im`
89.7%	3	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
89.7%	3	`(cos.f64 re)`
99.2%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 24 to 18 computations (25% saved)

regimes21.0ms (0.3%)

Counts

31 → 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 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))) #s(literal 2 binary64))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 re re))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 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 #s(literal 2 binary64) (neg.f64 (pow.f64 re #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 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
(.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
(.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 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 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 re #s(literal 2 binary64)))) #s(literal -2 binary64))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64)))))))))
(*.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 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)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))

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

Calls

2 calls:

12.0ms	im
7.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
99.2%	2	`im`
99.2%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes18.0ms (0.2%)

Counts

29 → 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 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))) #s(literal 2 binary64))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 re re))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 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 #s(literal 2 binary64) (neg.f64 (pow.f64 re #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 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
(.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
(.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 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 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 re #s(literal 2 binary64)))) #s(literal -2 binary64))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64)))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Outputs

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

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

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

9.0ms	im
6.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
93.2%	3	`im`
87.3%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes14.0ms (0.2%)

Counts

28 → 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 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))) #s(literal 2 binary64))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 re re))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 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 #s(literal 2 binary64) (neg.f64 (pow.f64 re #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 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
(.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
(.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 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 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 re #s(literal 2 binary64)))) #s(literal -2 binary64))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64)))))))))

Outputs

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

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

Calls

1 calls:

8.0ms

im

Results

Accuracy	Segments	Branch
92.9%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts

27 → 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 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))) #s(literal 2 binary64))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 re re))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 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 #s(literal 2 binary64) (neg.f64 (pow.f64 re #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 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
(.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
(.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 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 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 re #s(literal 2 binary64)))) #s(literal -2 binary64))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))

Outputs

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

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

(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 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
92.8%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

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 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))) #s(literal 2 binary64))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 re re))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 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 #s(literal 2 binary64) (neg.f64 (pow.f64 re #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 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
(.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
(.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 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 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 re #s(literal 2 binary64)))) #s(literal -2 binary64))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))

Outputs

(cos.f64 re)

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

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

9.0ms

im

Results

Accuracy	Segments	Branch
92.7%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (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 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))) #s(literal 2 binary64))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 re re))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 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 #s(literal 2 binary64) (neg.f64 (pow.f64 re #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 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
(.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
(.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))

Outputs

(cos.f64 re)

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

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

Calls

1 calls:

7.0ms

im

Results

Accuracy	Segments	Branch
92.1%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes21.0ms (0.3%)

Counts

19 → 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 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))) #s(literal 2 binary64))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 re re))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 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 #s(literal 2 binary64) (neg.f64 (pow.f64 re #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))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
69.1%	3	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
69.1%	3	`(cos.f64 re)`
86.6%	2	`im`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes11.0ms (0.1%)

Counts

16 → 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 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))) #s(literal 2 binary64))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 re re))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 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 #s(literal 2 binary64) (neg.f64 (pow.f64 re #s(literal 2 binary64))))

Outputs

(cos.f64 re)

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

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

Calls

2 calls:

5.0ms	im
5.0ms	re

Results

Accuracy	Segments	Branch
64.2%	2	`re`
80.8%	3	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes61.0ms (0.8%)

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

Outputs

#s(literal 1 binary64)

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

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

Calls

2 calls:

56.0ms	im
4.0ms	re

Results

Accuracy	Segments	Branch
44.8%	3	`re`
59.7%	3	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

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

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

Calls

1 calls:

4.0ms

im

Results

Accuracy	Segments	Branch
55.2%	2	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (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 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))) #s(literal 2 binary64))

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

Calls

1 calls:

4.0ms

im

Results

Accuracy	Segments	Branch
47.5%	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
31.6%	1	`re`
31.6%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

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:

1.0ms	re
1.0ms	im

Results

Accuracy	Segments	Branch
9.3%	1	`re`
9.3%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.039685578121126	1123.2070160807093

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.039685578121126	1123.2070160807093

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch31.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.517645700234328e+101	2.866360763680996e+102
16.0ms	0.03504644748711173	1.3283391047442727

Results

19.0ms

208×

valid

Compiler

Compiled 532 to 388 computations (27.1% saved)

Precisions

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

ival-cos: 5.0ms (37.9% of total)

ival-exp: 3.0ms (22.7% of total)

ival-mult: 3.0ms (22.7% of total)

ival-add: 1.0ms (7.6% of total)

ival-neg: 1.0ms (7.6% of total)

const: 0.0ms (0% of total)

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

bsearch25.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.517645700234328e+101	2.866360763680996e+102
11.0ms	63289.87419972034	130653.39434649204

Results

16.0ms

176×

valid

Compiler

Compiled 418 to 313 computations (25.1% saved)

Precisions

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

ival-cos: 4.0ms (36.4% of total)

ival-mult: 3.0ms (27.3% of total)

ival-exp: 2.0ms (18.2% of total)

ival-add: 1.0ms (9.1% of total)

ival-neg: 1.0ms (9.1% of total)

const: 0.0ms (0% of total)

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

bsearch43.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.517645700234328e+101	2.866360763680996e+102
27.0ms	0.03504644748711173	1.3283391047442727

Results

32.0ms

208×

valid

Compiler

Compiled 634 to 445 computations (29.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-exp: 15.0ms (57.7% of total)

ival-cos: 5.0ms (19.2% of total)

ival-mult: 3.0ms (11.5% of total)

ival-add: 1.0ms (3.8% of total)

ival-neg: 1.0ms (3.8% of total)

const: 0.0ms (0% of total)

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

bsearch38.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	3.517645700234328e+101	2.866360763680996e+102
12.0ms	1.9154734450603536e-14	1.8916074584812817e-13

Results

29.0ms

192×

valid

Compiler

Compiled 426 to 314 computations (26.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-cos: 15.0ms (64.2% of total)

ival-exp: 3.0ms (12.8% of total)

ival-mult: 3.0ms (12.8% of total)

ival-add: 1.0ms (4.3% of total)

ival-neg: 1.0ms (4.3% of total)

const: 0.0ms (0% of total)

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

bsearch45.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
33.0ms	3.827044817848573e+152	1.1009518808680382e+156
10.0ms	63289.87419972034	130653.39434649204

Results

19.0ms

208×

valid

Compiler

Compiled 296 to 242 computations (18.2% saved)

Precisions

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

ival-cos: 5.0ms (37.7% of total)

ival-exp: 3.0ms (22.6% of total)

ival-mult: 3.0ms (22.6% of total)

ival-add: 1.0ms (7.5% of total)

ival-neg: 1.0ms (7.5% of total)

const: 0.0ms (0% of total)

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

bsearch11.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	63289.87419972034	130653.39434649204

Results

8.0ms

80×

valid

Compiler

Compiled 88 to 74 computations (15.9% saved)

Precisions

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

ival-cos: 2.0ms (37.9% of total)

ival-exp: 1.0ms (19% of total)

ival-mult: 1.0ms (19% of total)

ival-add: 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)

bsearch133.0ms (1.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.866360763680996e+102	1.0743300118770696e+104
117.0ms	1130860235.281113	1632780975.6211417

Results

125.0ms

160×

valid

Compiler

Compiled 345 to 267 computations (22.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-mult: 113.0ms (94.1% of total)

ival-cos: 4.0ms (3.3% of total)

ival-exp: 2.0ms (1.7% of total)

ival-add: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

const: 0.0ms (0% of total)

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

bsearch61.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.866360763680996e+102	1.0743300118770696e+104
44.0ms	0.002594140803887592	0.03504644748711173

Results

19.0ms

208×

valid

Compiler

Compiled 414 to 324 computations (21.7% saved)

Precisions

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

ival-cos: 4.0ms (31.9% of total)

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

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

ival-add: 1.0ms (8% of total)

ival-neg: 1.0ms (8% of total)

const: 0.0ms (0% of total)

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

bsearch43.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
41.0ms	0.03504644748711173	1.3283391047442727

Results

11.0ms

112×

valid

Compiler

Compiled 158 to 133 computations (15.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-cos: 3.0ms (38.2% of total)

ival-exp: 2.0ms (25.5% of total)

ival-mult: 2.0ms (25.5% of total)

ival-add: 1.0ms (12.7% of total)

ival-neg: 1.0ms (12.7% of total)

const: 0.0ms (0% of total)

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

bsearch50.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
49.0ms	0.03504644748711173	1.3283391047442727

Results

45.0ms

112×

valid

Compiler

Compiled 130 to 112 computations (13.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-cos: 3.0ms (39.6% of total)

ival-exp: 2.0ms (26.4% of total)

ival-mult: 2.0ms (26.4% of total)

ival-add: 1.0ms (13.2% of total)

ival-neg: 1.0ms (13.2% of total)

const: 0.0ms (0% of total)

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

simplify79.0ms (1%)

Algorithm

1×	egg-herbie

Rules

29×	`*-commutative`
24×	`+-commutative`
5×	`neg-mul-1`
4×	`unsub-neg`
3×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	1766
1	177	1766
2	182	1766
3	188	1766
4	195	1766
5	204	1766

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 5 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 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 5 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 5476377146882523/144115188075855872 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))) (if (<=.f64 im #s(literal 2800000000000000184400255347580263637342283689198040067392064127923440386338200198228880130814920097792 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 64000 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))) (if (<=.f64 im #s(literal 2800000000000000184400255347580263637342283689198040067392064127923440386338200198228880130814920097792 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 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 2589569785738035/2251799813685248 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))) (if (<=.f64 im #s(literal 2800000000000000184400255347580263637342283689198040067392064127923440386338200198228880130814920097792 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 7328605032569451/39614081257132168796771975168 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 2800000000000000184400255347580263637342283689198040067392064127923440386338200198228880130814920097792 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 64000 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))))
(if (<=.f64 im #s(literal 64000 binary64)) (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64)))
(if (<=.f64 im #s(literal 1150000000 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 13000000000000000820620954370209321019419013689360840305716286965548279119394216856551265106459745058816 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 re re))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))) (+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64)))))) #s(literal 2 binary64))))
(if (<=.f64 im #s(literal 1261007895663739/36028797018963968 binary64)) #s(literal 1 binary64) (if (<=.f64 im #s(literal 10999999999999999623213836815252042374069707882460440042315918022714998613872694801045999986163283132416 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 re re))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))) (+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64)))))) #s(literal 2 binary64))))
(if (<=.f64 im #s(literal 5/4 binary64)) #s(literal 1 binary64) (+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))) #s(literal 2 binary64)))
(if (<=.f64 im #s(literal 5494391545392005/4503599627370496 binary64)) #s(literal 1 binary64) (+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))) #s(literal 2 binary64)))
#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 5 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 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 5 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.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 (exp.f64 im) #s(literal 3 binary64))))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 5 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.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 (exp.f64 im) #s(literal 3 binary64))))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 5 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))) (.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 5 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal -1/6 binary64)))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))) (.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 5 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal -1/6 binary64)))) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) #s(literal 3 binary64))))
(if (<=.f64 im #s(literal 5476377146882523/144115188075855872 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))) (if (<=.f64 im #s(literal 2800000000000000184400255347580263637342283689198040067392064127923440386338200198228880130814920097792 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 5476377146882523/144115188075855872 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal -1/6 binary64)))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))) (if (<=.f64 im #s(literal 2800000000000000184400255347580263637342283689198040067392064127923440386338200198228880130814920097792 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 (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64)))))) #s(literal 4 binary64)))))
(if (<=.f64 im #s(literal 5476377146882523/144115188075855872 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal -1/6 binary64)))) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))) (if (<=.f64 im #s(literal 2800000000000000184400255347580263637342283689198040067392064127923440386338200198228880130814920097792 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 (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64)))))) #s(literal 4 binary64)))))
(if (<=.f64 im #s(literal 64000 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))) (if (<=.f64 im #s(literal 2800000000000000184400255347580263637342283689198040067392064127923440386338200198228880130814920097792 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 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 64000 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal -1/6 binary64)))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))) (if (<=.f64 im #s(literal 2800000000000000184400255347580263637342283689198040067392064127923440386338200198228880130814920097792 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64)))))) #s(literal 4 binary64)))))
(if (<=.f64 im #s(literal 64000 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal -1/6 binary64)))) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))) (if (<=.f64 im #s(literal 2800000000000000184400255347580263637342283689198040067392064127923440386338200198228880130814920097792 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64)))))) #s(literal 4 binary64)))))
(if (<=.f64 im #s(literal 2589569785738035/2251799813685248 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))) (if (<=.f64 im #s(literal 2800000000000000184400255347580263637342283689198040067392064127923440386338200198228880130814920097792 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 2589569785738035/2251799813685248 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal -1/6 binary64)))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))) (if (<=.f64 im #s(literal 2800000000000000184400255347580263637342283689198040067392064127923440386338200198228880130814920097792 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 (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64)))))) #s(literal 4 binary64)))))
(if (<=.f64 im #s(literal 2589569785738035/2251799813685248 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal -1/6 binary64)))) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))) (if (<=.f64 im #s(literal 2800000000000000184400255347580263637342283689198040067392064127923440386338200198228880130814920097792 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 (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64)))))) #s(literal 4 binary64)))))
(if (<=.f64 im #s(literal 7328605032569451/39614081257132168796771975168 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 2800000000000000184400255347580263637342283689198040067392064127923440386338200198228880130814920097792 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 7328605032569451/39614081257132168796771975168 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 2800000000000000184400255347580263637342283689198040067392064127923440386338200198228880130814920097792 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 (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))) #s(literal 4 binary64)))))
(if (<=.f64 im #s(literal 7328605032569451/39614081257132168796771975168 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 2800000000000000184400255347580263637342283689198040067392064127923440386338200198228880130814920097792 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 (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))) #s(literal 4 binary64)))))
(if (<=.f64 im #s(literal 64000 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))))
(if (<=.f64 im #s(literal 64000 binary64)) (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64)))
(if (<=.f64 im #s(literal 1150000000 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 13000000000000000820620954370209321019419013689360840305716286965548279119394216856551265106459745058816 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 re re))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))) (+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64)))))) #s(literal 2 binary64))))
(if (<=.f64 im #s(literal 1150000000 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 13000000000000000820620954370209321019419013689360840305716286965548279119394216856551265106459745058816 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 re re)))) (+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64)))))) #s(literal 2 binary64))))
(if (<=.f64 im #s(literal 1261007895663739/36028797018963968 binary64)) #s(literal 1 binary64) (if (<=.f64 im #s(literal 10999999999999999623213836815252042374069707882460440042315918022714998613872694801045999986163283132416 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 re re))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))) (+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64)))))) #s(literal 2 binary64))))
(if (<=.f64 im #s(literal 1261007895663739/36028797018963968 binary64)) #s(literal 1 binary64) (if (<=.f64 im #s(literal 10999999999999999623213836815252042374069707882460440042315918022714998613872694801045999986163283132416 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 re re)))) (+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64)))))) #s(literal 2 binary64))))
(if (<=.f64 im #s(literal 5/4 binary64)) #s(literal 1 binary64) (+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))) #s(literal 2 binary64)))
(if (<=.f64 im #s(literal 5494391545392005/4503599627370496 binary64)) #s(literal 1 binary64) (+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))) #s(literal 2 binary64)))
(if (<=.f64 im #s(literal 5494391545392005/4503599627370496 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)

soundness1.6s (19.7%)

Rules

1018×	`log1p-expm1-u`
732×	`log1p-expm1-u`
719×	`fma-define`
719×	`associate-*r/`
600×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	176
1	481	156
2	6582	156
0	32	242
1	496	214
2	7308	214
0	629	12046
1	1598	11251
2	5276	10981
0	293	6643
1	794	5876
2	2657	5817
3	6761	5817
0	197	3069
1	505	2795
2	1610	2620
3	5037	2588
0	16	85
1	202	85
2	3306	85

Stop Event

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

Compiler

Compiled 749 to 236 computations (68.5% saved)

preprocess249.0ms (3.1%)

Remove

(abs im)

(abs re)

Compiler

Compiled 1192 to 364 computations (69.5% saved)

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

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

analyze0.0ms (0%)

sample1.2s (14.4%)

preprocess142.0ms (1.8%)

explain173.0ms (2.1%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify20.0ms (0.2%)

localize46.0ms (0.6%)

series15.0ms (0.2%)

rewrite283.0ms (3.5%)

simplify91.0ms (1.1%)

eval19.0ms (0.2%)

prune22.0ms (0.3%)

simplify167.0ms (2.1%)

localize107.0ms (1.3%)

series22.0ms (0.3%)

rewrite50.0ms (0.6%)

simplify219.0ms (2.7%)

eval109.0ms (1.4%)

prune231.0ms (2.9%)

simplify92.0ms (1.1%)

localize169.0ms (2.1%)

series24.0ms (0.3%)

rewrite224.0ms (2.8%)

simplify738.0ms (9.1%)

eval136.0ms (1.7%)

prune90.0ms (1.1%)

simplify89.0ms (1.1%)

localize222.0ms (2.8%)

series12.0ms (0.2%)

rewrite199.0ms (2.5%)

simplify228.0ms (2.8%)

eval127.0ms (1.6%)

prune86.0ms (1.1%)

regimes61.0ms (0.8%)

regimes100.0ms (1.2%)

regimes21.0ms (0.3%)

regimes18.0ms (0.2%)

regimes14.0ms (0.2%)

regimes10.0ms (0.1%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

regimes21.0ms (0.3%)

regimes11.0ms (0.1%)

regimes61.0ms (0.8%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch31.0ms (0.4%)

bsearch25.0ms (0.3%)

bsearch43.0ms (0.5%)

bsearch38.0ms (0.5%)

bsearch45.0ms (0.6%)

bsearch11.0ms (0.1%)

bsearch133.0ms (1.6%)

bsearch61.0ms (0.8%)

bsearch43.0ms (0.5%)

bsearch50.0ms (0.6%)

simplify79.0ms (1%)

soundness1.6s (19.7%)

preprocess249.0ms (3.1%)

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