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 13 to 12 computations (7.7% saved)

sample1.4s (19.5%)

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 659.0ms

ival-mult: 270.0ms (41% of total)

ival-cos: 203.0ms (30.8% of total)

ival-exp: 95.0ms (14.4% of total)

ival-add: 42.0ms (6.4% of total)

ival-neg: 35.0ms (5.3% of total)

ival-true: 7.0ms (1.1% of total)

ival-assert: 4.0ms (0.6% of total)

...in/eval/compile.rkt:70:19: 3.0ms (0.5% of total)

Bogosity

preprocess373.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

830×	`fma-define`
412×	`fmm-def`
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)

explain193.0ms (2.7%)

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

118.0ms

512×

valid

Compiler

Compiled 96 to 44 computations (54.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-cos: 13.0ms (39.1% of total)

ival-exp: 8.0ms (24.1% of total)

ival-mult: 6.0ms (18% of total)

ival-add: 3.0ms (9% of total)

ival-neg: 2.0ms (6% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

ival-assert: 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)

simplify24.0ms (0.3%)

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)

localize42.0ms (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 (exp.f64 (neg.f64 im)) (exp.f64 im))

Samples

30.0ms

256×

valid

Compiler

Compiled 35 to 12 computations (65.7% saved)

Precisions

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

ival-cos: 6.0ms (37.1% of total)

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

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

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

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

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

5 → 32

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 (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 #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

15 calls:

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

rewrite354.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

76×	`add-exp-log`
76×	`add-log-exp`
76×	`log1p-expm1-u`
76×	`expm1-log1p-u`
74×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	71
1	174	71
2	2571	71

Stop Event

1×

unsound

Counts

5 → 41

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))
(exp.f64 im)

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -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)))
(+.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)
#s(literal 1 binary64)
#s(literal 3 binary64)

simplify135.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

957×	`fma-define`
627×	`fmm-def`
410×	`sub-neg`
402×	`distribute-lft-in`
370×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	148	1344
1	299	1240
2	681	1200
3	1594	1098
4	3161	1098
5	4091	1098
6	5989	1098
7	7976	1098

Stop Event

1×	node limit

Counts

73 → 99

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))
#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 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -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)))
(+.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)
#s(literal 1 binary64)
#s(literal 3 binary64)

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

eval12.0ms (0.2%)

Compiler: Compiled 1 522 to 402 computations (73.6% saved)

prune26.0ms (0.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	95	4	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	4	100

Accuracy

100.0%

Counts

100 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.6%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
▶	60.6%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
▶	49.7%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64))
▶	67.2%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Compiler

Compiled 40 to 32 computations (20% saved)

simplify420.0ms (6%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
	cost-diff	-128	(cos.f64 re)
✓	cost-diff	0	(fma.f64 im im #s(literal 2 binary64))
	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	-128	(cos.f64 re)
	cost-diff	0	(exp.f64 im)
✓	cost-diff	0	(+.f64 #s(literal 3 binary64) (exp.f64 im))
	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
	cost-diff	-128	(cos.f64 re)
	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
✓	cost-diff	256	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64))
	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))

Rules

2 165×	`fma-define`
782×	`associate-/l*`
610×	`*-commutative`
510×	`associate-r`
461×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	341
1	57	317
2	134	291
3	208	287
4	492	287
5	1689	287
6	2340	287
7	3261	287
8	3683	287
9	4603	287
10	5622	287
11	5717	287
12	5721	287
13	5721	287
14	6679	287
15	7361	287
16	7402	287
17	7417	287
18	7431	287
19	7443	287
20	7455	287
21	7467	287
22	7480	287
23	7492	287
24	7506	287

Stop Event

1×	node limit

Calls

Call 1

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

localize108.0ms (1.5%)

Localize:

Found 15 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%	(.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) (cos.f64 re))
	accuracy	100.0%	(exp.f64 im)
	accuracy	100.0%	(cos.f64 re)
✓	accuracy	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64))
	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
	accuracy	100.0%	(cos.f64 re)
✓	accuracy	100.0%	(neg.f64 im)
	accuracy	100.0%	(exp.f64 (neg.f64 im))
	accuracy	100.0%	(exp.f64 im)
	accuracy	100.0%	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Samples

53.0ms

256×

valid

Compiler

Compiled 88 to 19 computations (78.4% saved)

Precisions

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

ival-mult: 8.0ms (28.6% of total)

ival-cos: 6.0ms (21.5% of total)

ival-neg: 5.0ms (17.9% of total)

ival-add: 3.0ms (10.7% of total)

ival-exp: 3.0ms (10.7% of total)

ival-fma: 3.0ms (10.7% of total)

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

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series15.0ms (0.2%)

Counts

6 → 88

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite130.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`log1p-expm1-u`
628×	`expm1-log1p-u`
602×	`log-prod`
326×	`prod-diff`
205×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	124
1	253	108
2	3335	108

Stop Event

1×	node limit

Counts

6 → 198

Calls

Call 1

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

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

simplify211.0ms (3%)

Algorithm

1×	egg-herbie

Rules

517×	`associate-r`
424×	`associate-l`
262×	`fma-define`
246×	`distribute-lft-in`
219×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	529	8160
1	1221	7928
2	4861	7884

Stop Event

1×	node limit

Counts

286 → 300

Calls

Call 1

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

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

eval72.0ms (1%)

Compiler: Compiled 7 369 to 1 373 computations (81.4% saved)

prune83.0ms (1.2%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	519	12	531
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	521	14	535

Accuracy

100.0%

Counts

535 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.3%	(+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
	33.5%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
✓	74.6%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
	11.8%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 im #s(literal 4 binary64)))
	44.1%	(.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))))))))
	35.2%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
✓	60.6%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
▶	10.7%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
	47.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
	8.7%	(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
▶	7.3%	(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
	4.1%	(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
▶	49.7%	(cos.f64 re)
▶	27.7%	#s(literal 1 binary64)

Compiler

Compiled 220 to 181 computations (17.7% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

3×	`1-exp`
2×	`*-commutative`
2×	`fma-define`
1×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	91
1	28	87
2	31	87

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(cos.f64 re)
re
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
#s(literal 1/4 binary64)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 re)
re
(+.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))
#s(literal 3/2 binary64)
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
#s(literal 1/2 binary64)
(exp.f64 im)
im

localize87.0ms (1.2%)

Localize:

Found 7 expressions of interest:

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

Samples

34.0ms

256×

valid

Compiler

Compiled 34 to 15 computations (55.9% saved)

Precisions

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

ival-cos: 6.0ms (42% of total)

ival-mult: 4.0ms (28% of total)

ival-exp: 2.0ms (14% of total)

ival-add: 1.0ms (7% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

series2.0ms (0%)

Counts

4 → 12

Calls

Call 1

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

Outputs
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1 binary64))))>
#<alt #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))))))>

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	im	@	-inf	(* 1/2 (exp im))
0.0ms	im	@	inf	(* 1/2 (exp im))
0.0ms	re	@	0	(* 2 (cos re))
0.0ms	re	@	-inf	(* 2 (cos re))
0.0ms	re	@	inf	(* 2 (cos re))

rewrite99.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

703×	`log1p-expm1-u`
703×	`expm1-log1p-u`
621×	`unpow-prod-down`
373×	`log-prod`
145×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	49
1	161	45
2	1900	45

Stop Event

1×	node limit

Counts

4 → 102

Calls

Call 1

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

Outputs
#s(literal 1/8 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (cos.f64 re))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (cos.f64 re))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (cos.f64 re)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (cos.f64 re)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (cos.f64 re)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (cos.f64 re))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 im))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 im))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 im)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 im)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 im)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(exp.f64 (+.f64 im (log.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (+.f64 im (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (+.f64 im (log.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (+.f64 im (log.f64 #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 im (log.f64 #s(literal 1/2 binary64)))) #s(literal 2 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 #s(literal 9/4 binary64) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal -1/2 binary64) (exp.f64 im)))) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) (log.f64 (exp.f64 #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 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1/3 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 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))) #s(literal 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 (fma.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) (fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -3/2 binary64)) #s(literal 9/4 binary64))))
(.f64 (fma.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 27/8 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -3/2 binary64)) #s(literal 9/4 binary64))) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 9/4 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 im)))))
(.f64 (-.f64 #s(literal 9/4 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 im)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))) (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (.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)))) #s(literal 1/3 binary64)) (pow.f64 (*.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)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.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 (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)))
(.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) #s(literal 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))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 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 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.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 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -3/2 binary64)) #s(literal 9/4 binary64)) (fma.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 #s(literal 3/2 binary64) (.f64 #s(literal -1/2 binary64) (exp.f64 im))) (-.f64 #s(literal 9/4 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 27/8 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -3/2 binary64)) #s(literal 9/4 binary64)))
(/.f64 (fma.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 27/8 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 #s(literal 9/4 binary64) (*.f64 #s(literal 3/4 binary64) (exp.f64 im)))))
(/.f64 (-.f64 #s(literal 9/4 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal -1/2 binary64) (exp.f64 im))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 27/8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -3/2 binary64)) #s(literal 9/4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 9/4 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))) (neg.f64 (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal -1/2 binary64) (exp.f64 im)))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal -9/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -3/2 binary64)))
(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))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -3/2 binary64)) #s(literal 9/4 binary64)) (fma.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 27/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal -1/2 binary64) (exp.f64 im))) (-.f64 #s(literal 9/4 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))) #s(literal -1 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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))) #s(literal 2 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 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1 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 (exp.f64 im)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (exp.f64 im)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) #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 (exp.f64 im)) (*.f64 (sqrt.f64 (exp.f64 im)) #s(literal 1/2 binary64)) #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))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (exp.f64 im)) #s(literal 2 binary64))) (cbrt.f64 (exp.f64 im)) #s(literal 3/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (exp.f64 im))) (sqrt.f64 (exp.f64 im)) #s(literal 3/2 binary64))

simplify97.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

430×	`times-frac`
397×	`fma-define`
356×	`unswap-sqr`
265×	`exp-prod`
256×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	291	3173
1	585	3041
2	1529	2608
3	4717	2583

Stop Event

1×	node limit

Counts

114 → 151

Calls

Call 1

Inputs
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1 binary64))))
#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))))))
#s(literal 1/8 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (cos.f64 re))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (cos.f64 re))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (cos.f64 re)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (cos.f64 re)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (cos.f64 re)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (cos.f64 re))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 im))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 im))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 im)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 im)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 im)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(exp.f64 (+.f64 im (log.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (+.f64 im (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (+.f64 im (log.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (+.f64 im (log.f64 #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 im (log.f64 #s(literal 1/2 binary64)))) #s(literal 2 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 #s(literal 9/4 binary64) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal -1/2 binary64) (exp.f64 im)))) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) (log.f64 (exp.f64 #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 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1/3 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 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))) #s(literal 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 (fma.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) (fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -3/2 binary64)) #s(literal 9/4 binary64))))
(.f64 (fma.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 27/8 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -3/2 binary64)) #s(literal 9/4 binary64))) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 9/4 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 im)))))
(.f64 (-.f64 #s(literal 9/4 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 im)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))) (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (.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)))) #s(literal 1/3 binary64)) (pow.f64 (*.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)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.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 (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)))
(.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) #s(literal 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))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 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 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.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 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -3/2 binary64)) #s(literal 9/4 binary64)) (fma.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 #s(literal 3/2 binary64) (.f64 #s(literal -1/2 binary64) (exp.f64 im))) (-.f64 #s(literal 9/4 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 27/8 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -3/2 binary64)) #s(literal 9/4 binary64)))
(/.f64 (fma.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 27/8 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 #s(literal 9/4 binary64) (*.f64 #s(literal 3/4 binary64) (exp.f64 im)))))
(/.f64 (-.f64 #s(literal 9/4 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal -1/2 binary64) (exp.f64 im))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 27/8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -3/2 binary64)) #s(literal 9/4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 9/4 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))) (neg.f64 (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal -1/2 binary64) (exp.f64 im)))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal -9/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -3/2 binary64)))
(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))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -3/2 binary64)) #s(literal 9/4 binary64)) (fma.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 27/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal -1/2 binary64) (exp.f64 im))) (-.f64 #s(literal 9/4 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))) #s(literal -1 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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))) #s(literal 2 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 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1 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 (exp.f64 im)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (exp.f64 im)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) #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 (exp.f64 im)) (*.f64 (sqrt.f64 (exp.f64 im)) #s(literal 1/2 binary64)) #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))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (exp.f64 im)) #s(literal 2 binary64))) (cbrt.f64 (exp.f64 im)) #s(literal 3/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (exp.f64 im))) (sqrt.f64 (exp.f64 im)) #s(literal 3/2 binary64))

Outputs
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (neg.f64 (pow.f64 re #s(literal 2 binary64))))
(-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/360 binary64))) #s(literal -1 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/360 binary64) #s(literal 1/12 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/12 binary64) (fma.f64 #s(literal -1/360 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
#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))))))
(fma.f64 im (fma.f64 im (fma.f64 #s(literal 1/12 binary64) im #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 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))))
(fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(+.f64 #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))))))
(fma.f64 im (fma.f64 im (fma.f64 #s(literal 1/12 binary64) im #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
#s(literal 1/8 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (cos.f64 re))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (cos.f64 re))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (cos.f64 re)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (cos.f64 re)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 #s(literal 2 binary64) (log.f64 (fabs.f64 (exp.f64 (cos.f64 re)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(pow.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (cos.f64 re)))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)))))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re))))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re))))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re))))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (cos.f64 re))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 im))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 im))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 im)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (exp.f64 im)))) (cbrt.f64 (sqrt.f64 (exp.f64 (exp.f64 im)))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (exp.f64 im))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 im)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 im)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 im)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (exp.f64 im))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(pow.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(exp.f64 (+.f64 im (log.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(exp.f64 (*.f64 (+.f64 im (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (+.f64 im (log.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (+.f64 im (log.f64 #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
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(pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) #s(literal 1 binary64))
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(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 3 binary64))
(expm1.f64 (log1p.f64 (fma.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))
(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))
(expm1.f64 (log1p.f64 (fma.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))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (fma.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))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -3/2 binary64)) #s(literal 9/4 binary64)) (fma.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 27/8 binary64))) #s(literal -1 binary64))
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(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 27/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 im) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -3/2 binary64))) #s(literal 9/4 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal -1/2 binary64) (exp.f64 im))) (-.f64 #s(literal 9/4 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 9/4 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (+.f64 #s(literal 3/2 binary64) (.f64 (exp.f64 im) #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal 9/4 binary64) (*.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (fma.f64 (exp.f64 im) #s(literal -1/2 binary64) #s(literal 3/2 binary64)))
(/.f64 (fma.f64 (exp.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1/4 binary64) #s(literal 9/4 binary64)) (fma.f64 (exp.f64 im) #s(literal -1/2 binary64) #s(literal 3/2 binary64)))
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(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (fma.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))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (fma.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))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))))
(expm1.f64 (log1p.f64 (fma.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))
(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))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
(expm1.f64 (log1p.f64 (fma.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))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (fma.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))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (fma.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))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (fma.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))
(exp.f64 (*.f64 (log.f64 (cbrt.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))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64)))
(expm1.f64 (log1p.f64 (fma.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))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (fma.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))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
(expm1.f64 (log1p.f64 (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))
(expm1.f64 (log1p.f64 (fma.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))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1 binary64) #s(literal 3/2 binary64))
(expm1.f64 (log1p.f64 (fma.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))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
(expm1.f64 (log1p.f64 (fma.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))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 im)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (exp.f64 im)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
(expm1.f64 (log1p.f64 (fma.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))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(expm1.f64 (log1p.f64 (fma.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))
(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))
(expm1.f64 (log1p.f64 (fma.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))
(fma.f64 (sqrt.f64 (exp.f64 im)) (*.f64 (sqrt.f64 (exp.f64 im)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
(expm1.f64 (log1p.f64 (fma.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))
(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))
(expm1.f64 (log1p.f64 (fma.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))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (exp.f64 im)) #s(literal 2 binary64))) (cbrt.f64 (exp.f64 im)) #s(literal 3/2 binary64))
(expm1.f64 (log1p.f64 (fma.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))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (exp.f64 im))) (sqrt.f64 (exp.f64 im)) #s(literal 3/2 binary64))
(expm1.f64 (log1p.f64 (fma.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))

eval134.0ms (1.9%)

Compiler: Compiled 2 527 to 573 computations (77.3% saved)

prune41.0ms (0.6%)

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	223	6	229
Fresh	1	6	7
Picked	1	4	5
Done	0	2	2
Total	225	18	243

Accuracy

100.0%

Counts

243 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.0%	(-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
▶	34.7%	(+.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))))))
	27.1%	(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))))
▶	8.9%	(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
✓	47.3%	(+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
✓	74.6%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
	11.8%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 im #s(literal 4 binary64)))
	44.1%	(.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))))))))
	35.2%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
✓	60.6%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
✓	10.7%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
▶	47.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
	8.7%	(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
▶	4.1%	(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
✓	49.7%	(cos.f64 re)
	8.0%	#s(literal 2 binary64)
✓	27.7%	#s(literal 1 binary64)
▶	7.3%	#s(literal 1/8 binary64)

Compiler

Compiled 263 to 213 computations (19% saved)

simplify18.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-12544	(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))
✓	cost-diff	-6272	(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im))
✓	cost-diff	-6272	(.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))
✓	cost-diff	0	(*.f64 #s(literal 1/12 binary64) im)
✓	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	128	(*.f64 #s(literal 1/2 binary64) #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)))

Rules

154×	`fma-define`
32×	`associate-+r+`
24×	`associate-+l+`
19×	`distribute-lft-in`
18×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	254
1	46	214
2	109	214
3	197	214
4	290	214
5	367	214
6	373	214

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(*.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)
#s(literal 1/8 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
#s(literal -1 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))
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) im)
#s(literal 1/2 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 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 2 binary64))
#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 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))
(*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
im
(+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im))))
(+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64)))))
(fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))
(.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64))))
(*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im))
(+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))
(fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 im #s(literal 1/12 binary64))
#s(literal 1/12 binary64)

localize153.0ms (2.2%)

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im))
✓	accuracy	99.9%	(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))
✓	accuracy	99.9%	(.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))
✓	accuracy	99.5%	(*.f64 #s(literal 1/12 binary64) im)
✓	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 1/2 binary64) #s(literal -2 binary64))
	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)))

Samples

128.0ms

256×

valid

Compiler

Compiled 85 to 21 computations (75.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-add: 91.0ms (84.9% of total)

ival-mult: 9.0ms (8.4% of total)

...in/eval/compile.rkt:71:19: 4.0ms (3.7% of total)

ival-fma: 3.0ms (2.8% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Counts

8 → 49

Calls

Call 1

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

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

Calls

21 calls:

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

rewrite139.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

818×	`log1p-expm1-u`
818×	`expm1-log1p-u`
735×	`prod-diff`
207×	`fmm-def`
128×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	139
1	263	119
2	3762	119

Stop Event

1×	node limit

Counts

8 → 163

Calls

Call 1

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

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

simplify134.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

468×	`distribute-lft-in`
466×	`distribute-rgt-in`
424×	`cancel-sign-sub-inv`
299×	`distribute-rgt-neg-in`
290×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	398	6435
1	884	6029
2	2853	4908

Stop Event

1×	node limit

Counts

212 → 233

Calls

Call 1

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

Outputs
#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))
(*.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)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 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)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 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)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #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) (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 (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)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 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)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) im)
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) 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))
(*.f64 #s(literal 1/4 binary64) im)
(*.f64 im #s(literal 1/4 binary64))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/4 binary64) im)))
(*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/4 binary64) im)))
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(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/8 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 im (*.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64))) (.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64))))) (-.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (-.f64 (.f64 #s(literal 1/2 binary64) im) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))))
(/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))))
(.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 im (-.f64 #s(literal 1/2 binary64) (.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))))
(/.f64 (.f64 im (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
(.f64 im (/.f64 (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))
(.f64 im (/.f64 (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 im (*.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) #s(literal 1/4 binary64))))
(/.f64 (.f64 im (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))))
(.f64 im (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) im) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
(.f64 im (/.f64 (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))
(.f64 im (/.f64 (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 im (*.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) #s(literal 1/4 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))) im) (-.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))))
(.f64 im (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))))))
(pow.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.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) im))
(*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(fma.f64 (fma.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) im))
(*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 (fma.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) im))
(*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(fma.f64 (fma.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) im))
(*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(fma.f64 (fma.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) im))
(*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (fma.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) im))
(*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))
(fma.f64 (fma.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) im))
(*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(fma.f64 (fma.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) im))
(*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(fma.f64 (fma.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) im))
(*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(fma.f64 (fma.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) im))
(*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (fma.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) im))
(*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (fma.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) im))
(*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (fma.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) im))
(*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) im (*.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (fma.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) im))
(*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 im #s(literal 1/2 binary64) (*.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (fma.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) im))
(*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im) (.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (fma.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) im))
(*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) im)) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 1/2 binary64) im)) (*.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (fma.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) im))
(*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) im)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) im)) (*.f64 (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (fma.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) im))
(*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))

eval38.0ms (0.5%)

Compiler: Compiled 4 007 to 1 048 computations (73.8% saved)

prune49.0ms (0.7%)

Pruning

21 alts after pruning (11 fresh and 10 done)

	Pruned	Kept	Total
New	266	4	270
Fresh	0	7	7
Picked	1	4	5
Done	0	6	6
Total	267	21	288

Accuracy

100.0%

Counts

288 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.0%	(-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
✓	34.7%	(+.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))))))
	34.7%	(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (*.f64 im #s(literal 1/12 binary64))))))
	27.1%	(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))))
✓	8.9%	(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
✓	47.3%	(+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
✓	74.6%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
	11.8%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 im #s(literal 4 binary64)))
	44.1%	(.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))))))))
	35.2%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
✓	60.6%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
	8.9%	(*.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) im)))
✓	10.7%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
✓	47.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
	4.5%	(*.f64 #s(literal 1/2 binary64) im)
	8.7%	(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
✓	49.7%	(cos.f64 re)
	8.0%	#s(literal 2 binary64)
✓	27.7%	#s(literal 1 binary64)
✓	7.3%	#s(literal 1/8 binary64)
	4.1%	#s(literal -1 binary64)

Compiler

Compiled 354 to 216 computations (39% saved)

regimes173.0ms (2.5%)

Counts

27 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) im)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(*.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) im)))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (*.f64 im #s(literal 1/12 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))))))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64))
(+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (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 im #s(literal 1/2 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))))))))
(*.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 (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:

128.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
11.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
9.0ms	re
8.0ms	im
8.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))

Results

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

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes42.0ms (0.6%)

Counts

26 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) im)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(*.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) im)))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (*.f64 im #s(literal 1/12 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))))))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64))
(+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (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 im #s(literal 1/2 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))))))))
(*.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)) (fma.f64 im im #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))

Calls

5 calls:

11.0ms	re
8.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
8.0ms	im
7.0ms	(cos.f64 re)
6.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
90.3%	3	`re`
100.0%	2	`im`
88.7%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
88.7%	2	`(cos.f64 re)`
100.0%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 24 to 18 computations (25% saved)

regimes15.0ms (0.2%)

Counts

25 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) im)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(*.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) im)))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (*.f64 im #s(literal 1/12 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))))))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64))
(+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (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 im #s(literal 1/2 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))))))))
(*.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
(cos.f64 re)
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))

Calls

2 calls:

7.0ms	im
6.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
99.6%	2	`im`
99.6%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes24.0ms (0.3%)

Counts

24 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) im)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(*.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) im)))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (*.f64 im #s(literal 1/12 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))))))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64))
(+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (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 im #s(literal 1/2 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))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Outputs

(cos.f64 re)

(*.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:

17.0ms	im
5.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
95.7%	3	`im`
89.0%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes8.0ms (0.1%)

Counts

23 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) im)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(*.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) im)))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (*.f64 im #s(literal 1/12 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))))))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64))
(+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (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 im #s(literal 1/2 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))))))))

Outputs

(cos.f64 re)

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

7.0ms

im

Results

Accuracy	Segments	Branch
95.4%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

22 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) im)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(*.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) im)))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (*.f64 im #s(literal 1/12 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))))))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64))
(+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (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 im #s(literal 1/2 binary64))))))

Outputs

(cos.f64 re)

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

Calls

1 calls:

7.0ms

im

Results

Accuracy	Segments	Branch
94.2%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.2%)

Counts

21 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) im)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(*.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) im)))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (*.f64 im #s(literal 1/12 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))))))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64))
(+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 im #s(literal 4 binary64)))

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

Calls

2 calls:

7.0ms	im
7.0ms	re

Results

Accuracy	Segments	Branch
65.2%	2	`re`
88.7%	2	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes19.0ms (0.3%)

Counts

18 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) im)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(*.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) im)))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (*.f64 im #s(literal 1/12 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))))))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
65.1%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
65.1%	2	`(cos.f64 re)`
78.9%	3	`im`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes6.0ms (0.1%)

Counts

15 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) im)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(*.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) im)))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (*.f64 im #s(literal 1/12 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))))))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))

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

Calls

1 calls:

5.0ms

im

Results

Accuracy	Segments	Branch
76.2%	2	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.2%)

Counts

13 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) im)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(*.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) im)))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (*.f64 im #s(literal 1/12 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))))))

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

Calls

2 calls:

6.0ms	re
4.0ms	im

Results

Accuracy	Segments	Branch
38.6%	2	`re`
54.4%	2	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

12 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) im)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(*.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) im)))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (*.f64 im #s(literal 1/12 binary64))))))

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

Calls

1 calls:

4.0ms

im

Results

Accuracy	Segments	Branch
54.4%	2	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

11 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) im)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(*.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) im)))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))))

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

Calls

1 calls:

4.0ms

im

Results

Accuracy	Segments	Branch
46.7%	2	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/8 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:

5.0ms	re
4.0ms	im

Results

Accuracy	Segments	Branch
27.7%	1	`re`
27.7%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/8 binary64)

Outputs
#s(literal 1/8 binary64)

Calls

2 calls:

2.0ms	im
2.0ms	re

Results

Accuracy	Segments	Branch
7.3%	1	`re`
7.3%	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 -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

2 calls:

1.0ms	re
1.0ms	im

Results

Accuracy	Segments	Branch
4.1%	1	`im`
4.1%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.000000055016683	+inf

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.000000055016683	+inf

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch30.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.3003276135913943e+100	2.44201661188054e+101
15.0ms	3.776358476322812e-7	4.962803520820718e-5

Samples

20.0ms

208×

valid

Compiler

Compiled 320 to 256 computations (20% saved)

Precisions

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

ival-exp: 5.0ms (36.4% of total)

ival-cos: 4.0ms (29.1% of total)

ival-mult: 3.0ms (21.8% of total)

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

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

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

bsearch40.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	3.3003276135913943e+100	2.44201661188054e+101
20.0ms	0.00023455635382191303	16477.82864778635

Samples

24.0ms

240×

valid

Compiler

Compiled 322 to 267 computations (17.1% saved)

Precisions

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

ival-cos: 5.0ms (35.4% of total)

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

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

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

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

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

bsearch39.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	4.215771558031264e+153	7.320702527891274e+154
22.0ms	0.00023455635382191303	16477.82864778635

Samples

26.0ms

256×

valid

Compiler

Compiled 324 to 270 computations (16.7% saved)

Precisions

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

ival-cos: 9.0ms (47.8% of total)

ival-exp: 4.0ms (21.3% of total)

ival-mult: 3.0ms (15.9% of total)

ival-add: 1.0ms (5.3% of total)

ival-neg: 1.0ms (5.3% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

bsearch21.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.00023455635382191303	16477.82864778635

Samples

13.0ms

144×

valid

Compiler

Compiled 142 to 123 computations (13.4% saved)

Precisions

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

ival-cos: 3.0ms (34.1% of total)

ival-exp: 2.0ms (22.7% of total)

ival-mult: 2.0ms (22.7% of total)

ival-add: 1.0ms (11.4% of total)

ival-neg: 1.0ms (11.4% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

bsearch35.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.44201661188054e+101	2.1158063938984108e+106
12.0ms	3082469.5337941	32685483.646369357

Samples

24.0ms

240×

valid

Compiler

Compiled 292 to 228 computations (21.9% saved)

Precisions

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

ival-cos: 5.0ms (35.7% of total)

ival-exp: 3.0ms (21.4% of total)

ival-mult: 3.0ms (21.4% of total)

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

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

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

bsearch58.0ms (0.8%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
56.0ms	1.412529385683146e+39	1.4083113455830084e+43

Samples

52.0ms

128×

valid

Compiler

Compiled 184 to 151 computations (17.9% saved)

Precisions

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

ival-cos: 3.0ms (43.3% of total)

ival-mult: 2.0ms (28.8% of total)

ival-exp: 1.0ms (14.4% of total)

ival-add: 1.0ms (14.4% of total)

ival-neg: 1.0ms (14.4% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

bsearch21.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.00023455635382191303	16477.82864778635

Samples

14.0ms

144×

valid

Compiler

Compiled 196 to 168 computations (14.3% saved)

Precisions

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

ival-cos: 4.0ms (42.5% of total)

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

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

ival-add: 1.0ms (10.6% of total)

ival-neg: 1.0ms (10.6% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

bsearch64.0ms (0.9%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
62.0ms	0.00023455635382191303	16477.82864778635

Samples

13.0ms

144×

valid

Compiler

Compiled 178 to 150 computations (15.7% saved)

Precisions

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

ival-cos: 3.0ms (33.5% of total)

ival-exp: 2.0ms (22.4% of total)

ival-mult: 2.0ms (22.4% of total)

ival-add: 1.0ms (11.2% of total)

ival-neg: 1.0ms (11.2% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

bsearch37.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
35.0ms	0.00023455635382191303	16477.82864778635

Samples

30.0ms

144×

valid

Compiler

Compiled 160 to 141 computations (11.9% saved)

Precisions

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

ival-cos: 20.0ms (77.7% of total)

ival-exp: 3.0ms (11.6% of total)

ival-mult: 2.0ms (7.8% of total)

ival-add: 1.0ms (3.9% of total)

ival-neg: 1.0ms (3.9% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

simplify18.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative`
18×	`+-commutative`
3×	`sub-neg`
3×	`1-exp`
2×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	918
1	149	918
2	154	918
3	157	918
4	158	918

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 4 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 4 binary64)) (cos.f64 re) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 4722366482869645/1180591620717411303424 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 239999999999999988275342728536547763884964150946535500215497148968831960517589867548288998018895577088 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 3152519739159347/1125899906842624 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 239999999999999988275342728536547763884964150946535500215497148968831960517589867548288998018895577088 binary64)) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 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 3 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 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 #s(literal 1/2 binary64))))))))
(if (<=.f64 im #s(literal 7/4 binary64)) (cos.f64 re) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 3100000 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) (-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (*.f64 im #s(literal 1/12 binary64))))))))
(if (<=.f64 im #s(literal 1499999999999999985121613283319091298304 binary64)) (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))
(if (<=.f64 im #s(literal 2589569785738035/2251799813685248 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))
(if (<=.f64 im #s(literal 5404319552844595/4503599627370496 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (*.f64 im #s(literal 1/12 binary64)))))))
(if (<=.f64 im #s(literal 3152519739159347/2251799813685248 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 1/8 binary64)
#s(literal -1 binary64)

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 4 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 4 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) #s(literal 3 binary64))))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 4 binary64)) (cos.f64 re) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 4 binary64)) (cos.f64 re) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) #s(literal 3 binary64))))
(if (<=.f64 im #s(literal 4722366482869645/1180591620717411303424 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 239999999999999988275342728536547763884964150946535500215497148968831960517589867548288998018895577088 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 3152519739159347/1125899906842624 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 239999999999999988275342728536547763884964150946535500215497148968831960517589867548288998018895577088 binary64)) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 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 3 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 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 #s(literal 1/2 binary64))))))))
(if (<=.f64 im #s(literal 3 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 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 #s(literal 1/2 binary64) im)))))))
(if (<=.f64 im #s(literal 7/4 binary64)) (cos.f64 re) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 3100000 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) (-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (*.f64 im #s(literal 1/12 binary64))))))))
(if (<=.f64 im #s(literal 1499999999999999985121613283319091298304 binary64)) (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))
(if (<=.f64 im #s(literal 1499999999999999985121613283319091298304 binary64)) (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
(if (<=.f64 im #s(literal 2589569785738035/2251799813685248 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))
(if (<=.f64 im #s(literal 2589569785738035/2251799813685248 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
(if (<=.f64 im #s(literal 5404319552844595/4503599627370496 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (*.f64 im #s(literal 1/12 binary64)))))))
(if (<=.f64 im #s(literal 3152519739159347/2251799813685248 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 1/8 binary64)
#s(literal -1 binary64)

soundness1.5s (21.5%)

Rules

957×	`fma-define`
818×	`log1p-expm1-u`
818×	`expm1-log1p-u`
735×	`prod-diff`
703×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	139
1	263	119
2	3762	119
0	19	49
1	161	45
2	1900	45
0	398	6435
1	884	6029
2	2853	4908
0	291	3173
1	585	3041
2	1529	2608
3	4717	2583
0	15	71
1	174	71
2	2571	71
0	529	8160
1	1221	7928
2	4861	7884
0	148	1344
1	299	1240
2	681	1200
3	1594	1098
4	3161	1098
5	4091	1098
6	5989	1098
7	7976	1098

Stop Event

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

Compiler

Compiled 475 to 211 computations (55.6% saved)

preprocess238.0ms (3.4%)

Remove: (abs re)
Compiler: Compiled 1 084 to 532 computations (50.9% 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%)

sample1.4s (19.5%)

preprocess373.0ms (5.3%)

explain193.0ms (2.7%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify24.0ms (0.3%)

localize42.0ms (0.6%)

series4.0ms (0.1%)

rewrite354.0ms (5%)

simplify135.0ms (1.9%)

eval12.0ms (0.2%)

prune26.0ms (0.4%)

simplify420.0ms (6%)

localize108.0ms (1.5%)

series15.0ms (0.2%)

rewrite130.0ms (1.8%)

simplify211.0ms (3%)

eval72.0ms (1%)

prune83.0ms (1.2%)

simplify7.0ms (0.1%)

localize87.0ms (1.2%)

series2.0ms (0%)

rewrite99.0ms (1.4%)

simplify97.0ms (1.4%)

eval134.0ms (1.9%)

prune41.0ms (0.6%)

simplify18.0ms (0.3%)

localize153.0ms (2.2%)

series7.0ms (0.1%)

rewrite139.0ms (2%)

simplify134.0ms (1.9%)

eval38.0ms (0.5%)

prune49.0ms (0.7%)

regimes173.0ms (2.5%)

regimes42.0ms (0.6%)

regimes15.0ms (0.2%)

regimes24.0ms (0.3%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes15.0ms (0.2%)

regimes19.0ms (0.3%)

regimes6.0ms (0.1%)

regimes11.0ms (0.2%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes9.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch30.0ms (0.4%)

bsearch40.0ms (0.6%)

bsearch39.0ms (0.6%)

bsearch21.0ms (0.3%)

bsearch35.0ms (0.5%)

bsearch58.0ms (0.8%)

bsearch21.0ms (0.3%)

bsearch64.0ms (0.9%)

bsearch37.0ms (0.5%)

simplify18.0ms (0.3%)

soundness1.5s (21.5%)

preprocess238.0ms (3.4%)

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