Metrics for math.cube 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 22 to 12 computations (45.5% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

sample990.0ms (11.6%)

Results

769.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 515.0ms

ival-mult: 381.0ms (73.9% of total)

ival-sub: 84.0ms (16.3% of total)

ival-add: 41.0ms (8% of total)

const: 6.0ms (1.2% of total)

backward-pass: 2.0ms (0.4% of total)

Bogosity

preprocess133.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1032×	`unsub-neg`
568×	`fma-define`
420×	`sub-neg`
388×	`distribute-lft-out`
372×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	591
1	149	519
2	395	483
3	1504	301
4	4596	301
5	6840	301
6	7603	301

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 (-.f64 (.f64 (neg.f64 x.re) (neg.f64 x.re)) (.f64 x.im x.im)) (neg.f64 x.re)) (.f64 (+.f64 (.f64 (neg.f64 x.re) x.im) (.f64 x.im (neg.f64 x.re))) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) (neg.f64 x.im))) x.re) (.f64 (+.f64 (.f64 x.re (neg.f64 x.im)) (.f64 (neg.f64 x.im) x.re)) (neg.f64 x.im)))
(neg.f64 (-.f64 (.f64 (-.f64 (.f64 (neg.f64 x.re) (neg.f64 x.re)) (.f64 x.im x.im)) (neg.f64 x.re)) (.f64 (+.f64 (.f64 (neg.f64 x.re) x.im) (.f64 x.im (neg.f64 x.re))) x.im)))
(neg.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) (neg.f64 x.im))) x.re) (.f64 (+.f64 (.f64 x.re (neg.f64 x.im)) (.f64 (neg.f64 x.im) x.re)) (neg.f64 x.im))))
(-.f64 (.f64 (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.re x.im)) x.re))

Outputs
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (fma.f64 x.re x.im (*.f64 x.re x.im))))
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (neg.f64 (.f64 #s(literal 2 binary64) (*.f64 x.re x.im)))))
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (fma.f64 x.re x.im (*.f64 x.re x.im))))
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (neg.f64 (.f64 #s(literal 2 binary64) (*.f64 x.re x.im)))))
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(-.f64 (.f64 (-.f64 (.f64 (neg.f64 x.re) (neg.f64 x.re)) (.f64 x.im x.im)) (neg.f64 x.re)) (.f64 (+.f64 (.f64 (neg.f64 x.re) x.im) (.f64 x.im (neg.f64 x.re))) x.im))
(-.f64 (.f64 (neg.f64 x.re) (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (fma.f64 x.re (neg.f64 x.im) (*.f64 x.re (neg.f64 x.im)))))
(-.f64 (.f64 x.re (-.f64 (.f64 x.im x.im) (.f64 x.re x.re))) (.f64 x.im (neg.f64 (.f64 #s(literal 2 binary64) (.f64 x.re x.im)))))
(fma.f64 x.re (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 x.re x.im))))
(-.f64 (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (.f64 x.im (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) (neg.f64 x.im))) x.re) (.f64 (+.f64 (.f64 x.re (neg.f64 x.im)) (.f64 (neg.f64 x.im) x.re)) (neg.f64 x.im)))
(-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (fma.f64 x.re x.im (*.f64 x.re x.im))))
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (neg.f64 (.f64 #s(literal 2 binary64) (*.f64 x.re x.im)))))
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(neg.f64 (-.f64 (.f64 (-.f64 (.f64 (neg.f64 x.re) (neg.f64 x.re)) (.f64 x.im x.im)) (neg.f64 x.re)) (.f64 (+.f64 (.f64 (neg.f64 x.re) x.im) (.f64 x.im (neg.f64 x.re))) x.im)))
(-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (fma.f64 x.re x.im (*.f64 x.re x.im))))
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (neg.f64 (.f64 #s(literal 2 binary64) (*.f64 x.re x.im)))))
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(neg.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) (neg.f64 x.im))) x.re) (.f64 (+.f64 (.f64 x.re (neg.f64 x.im)) (.f64 (neg.f64 x.im) x.re)) (neg.f64 x.im))))
(-.f64 (.f64 (neg.f64 x.re) (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (fma.f64 x.re (neg.f64 x.im) (*.f64 x.re (neg.f64 x.im)))))
(-.f64 (.f64 x.re (-.f64 (.f64 x.im x.im) (.f64 x.re x.re))) (.f64 x.im (neg.f64 (.f64 #s(literal 2 binary64) (.f64 x.re x.im)))))
(fma.f64 x.re (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 x.re x.im))))
(-.f64 (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (.f64 x.im (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (.f64 (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.re x.im)) x.re))
(-.f64 (.f64 x.im (-.f64 (.f64 x.im x.im) (.f64 x.re x.re))) (.f64 x.re (fma.f64 x.re x.im (*.f64 x.re x.im))))
(-.f64 (.f64 (.f64 x.im (+.f64 x.re x.im)) (-.f64 x.im x.re)) (.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.re x.im))))
(fma.f64 x.re (.f64 (.f64 x.re x.im) #s(literal -2 binary64)) (.f64 x.im (-.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))
(+.f64 (pow.f64 x.im #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal -3 binary64)))
(-.f64 (pow.f64 x.im #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))))

Symmetry

(abs x.im)

(negabs x.re)

explain183.0ms (2.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
22	-	-	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
14	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`
12	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
0	-	-	`(*.f64 x.re x.im)`
0	-	-	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`
0	-	-	`(*.f64 x.im x.im)`
0	-	-	`(*.f64 x.re x.re)`
0	-	-	`(*.f64 x.im x.re)`
0	-	-	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`
0	-	-	`x.re`
0	-	-	`x.im`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`	nan-rescue	22	0
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	overflow	114
↳	`(*.f64 x.re x.re)`	overflow	64
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	107
↳	`(*.f64 x.im x.im)`	overflow	55
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`	overflow	60
↳	`(*.f64 x.im x.re)`	overflow	31
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	31
↳	`(*.f64 x.re x.im)`	overflow	31
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	*no**	14	0
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	12	0
↳	`(*.f64 x.re x.re)`	overflow	64
↳	`(*.f64 x.im x.im)`	overflow	55

Confusion

	Predicted +	Predicted -
+	43	0
-	0	213

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	43	0	0
-	0	0	213

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	213
1	38
2	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Results

77.0ms

512×

valid

Compiler

Compiled 178 to 46 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 22.0ms (73.1% of total)

ival-sub: 5.0ms (16.6% of total)

ival-add: 3.0ms (10% of total)

const: 1.0ms (3.3% of total)

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

eval1.0ms (0%)

Compiler: Compiled 75 to 30 computations (60% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.4%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
▶	83.5%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (neg.f64 (.f64 #s(literal 2 binary64) (*.f64 x.re x.im)))))
▶	83.4%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	80.7%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))

Compiler

Compiled 71 to 41 computations (42.3% saved)

simplify123.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))
✓	cost-diff	0	(*.f64 x.im x.im)
✓	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	cost-diff	64	(neg.f64 (.f64 #s(literal 2 binary64) (.f64 x.re x.im)))
✓	cost-diff	64	(.f64 x.im (neg.f64 (.f64 #s(literal 2 binary64) (*.f64 x.re x.im))))
✓	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	cost-diff	128	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
✓	cost-diff	128	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	cost-diff	0	(*.f64 x.im #s(literal -3 binary64))
✓	cost-diff	0	(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
✓	cost-diff	0	(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
✓	cost-diff	0	(pow.f64 x.re #s(literal 3 binary64))

Rules

735×	`fma-neg`
732×	`unsub-neg`
629×	`fma-define`
497×	`sub-neg`
262×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	719
1	88	679
2	205	679
3	507	676
4	1209	676
5	3388	676
6	6113	676

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
x.im
(*.f64 x.im #s(literal -3 binary64))
#s(literal -3 binary64)
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (neg.f64 (.f64 #s(literal 2 binary64) (*.f64 x.re x.im)))))
x.re
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 x.re x.re)
(*.f64 x.im x.im)
x.im
(.f64 x.im (neg.f64 (.f64 #s(literal 2 binary64) (*.f64 x.re x.im))))
(neg.f64 (.f64 #s(literal 2 binary64) (.f64 x.re x.im)))
(.f64 #s(literal 2 binary64) (.f64 x.re x.im))
#s(literal 2 binary64)
(*.f64 x.re x.im)
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
x.re
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 x.re x.re)
(*.f64 x.im x.im)
x.im
(.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))
(.f64 (.f64 x.im #s(literal -2 binary64)) x.im)
(*.f64 x.im #s(literal -2 binary64))
#s(literal -2 binary64)

Outputs
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(fma.f64 x.re (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 #s(literal -3 binary64) (.f64 x.re (.f64 x.im x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(.f64 (.f64 x.im #s(literal -3 binary64)) (*.f64 x.re x.im))
(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
x.im
(*.f64 x.im #s(literal -3 binary64))
#s(literal -3 binary64)
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(fma.f64 x.re (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 #s(literal -3 binary64) (.f64 x.re (.f64 x.im x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(.f64 x.re (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im x.im)))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(.f64 x.im (fma.f64 x.re x.im (.f64 x.re x.im)))
(.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))
(.f64 x.re (.f64 (*.f64 x.im #s(literal 2 binary64)) x.im))
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (neg.f64 (.f64 #s(literal 2 binary64) (*.f64 x.re x.im)))))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(fma.f64 x.re (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 #s(literal -3 binary64) (.f64 x.re (.f64 x.im x.im)) (pow.f64 x.re #s(literal 3 binary64)))
x.re
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 x.re x.re)
(*.f64 x.im x.im)
x.im
(.f64 x.im (neg.f64 (.f64 #s(literal 2 binary64) (*.f64 x.re x.im))))
(.f64 x.im (.f64 #s(literal -2 binary64) (*.f64 x.re x.im)))
(.f64 x.im (.f64 (*.f64 x.re #s(literal -2 binary64)) x.im))
(.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -2 binary64)))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -2 binary64))))
(neg.f64 (.f64 #s(literal 2 binary64) (.f64 x.re x.im)))
(.f64 #s(literal -2 binary64) (.f64 x.re x.im))
(.f64 (.f64 x.re #s(literal -2 binary64)) x.im)
(.f64 x.re (.f64 x.im #s(literal -2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 x.re x.im))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
#s(literal 2 binary64)
(*.f64 x.re x.im)
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(fma.f64 x.re (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 #s(literal -3 binary64) (.f64 x.re (.f64 x.im x.im)) (pow.f64 x.re #s(literal 3 binary64)))
x.re
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 x.re x.re)
(*.f64 x.im x.im)
x.im
(.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))
(.f64 x.im (.f64 #s(literal -2 binary64) (*.f64 x.re x.im)))
(.f64 x.im (.f64 (*.f64 x.re #s(literal -2 binary64)) x.im))
(.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -2 binary64)))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -2 binary64))))
(.f64 (.f64 x.im #s(literal -2 binary64)) x.im)
(.f64 x.im (.f64 x.im #s(literal -2 binary64)))
(*.f64 x.im #s(literal -2 binary64))
#s(literal -2 binary64)

localize130.0ms (1.5%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x.im #s(literal -2 binary64))
✓	accuracy	95.7%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	90.2%	(.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))
✓	accuracy	87.7%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (.f64 x.re x.im))
✓	accuracy	99.8%	(.f64 x.im (neg.f64 (.f64 #s(literal 2 binary64) (*.f64 x.re x.im))))
✓	accuracy	95.7%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	87.7%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (neg.f64 (.f64 #s(literal 2 binary64) (*.f64 x.re x.im)))))
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	accuracy	95.7%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	94.8%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
✓	accuracy	93.0%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
✓	accuracy	100.0%	(*.f64 x.im #s(literal -3 binary64))
✓	accuracy	99.8%	(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
✓	accuracy	90.2%	(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
✓	accuracy	87.7%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))

Results

80.0ms

256×

valid

Compiler

Compiled 203 to 29 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 27.0ms (59.6% of total)

ival-fma: 6.0ms (13.3% of total)

ival-pow: 5.0ms (11% of total)

ival-add: 3.0ms (6.6% of total)

ival-sub: 2.0ms (4.4% of total)

const: 1.0ms (2.2% of total)

ival-neg: 1.0ms (2.2% of total)

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

series49.0ms (0.6%)

Counts

19 → 372

Calls

Call 1

Inputs
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))>
#<alt (.f64 x.im (.f64 x.im #s(literal -3 binary64)))>
#<alt (*.f64 x.im #s(literal -3 binary64))>
#<alt (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)>
#<alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re))>
#<alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))>
#<alt (*.f64 x.re x.re)>
#<alt (.f64 x.im (neg.f64 (.f64 #s(literal 2 binary64) (*.f64 x.re x.im))))>
#<alt (neg.f64 (.f64 #s(literal 2 binary64) (.f64 x.re x.im)))>
#<alt (*.f64 x.im x.im)>
#<alt (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))>
#<alt (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))>
#<alt (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))>
#<alt (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)>
#<alt (fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (neg.f64 (.f64 #s(literal 2 binary64) (*.f64 x.re x.im)))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.re x.im))>
#<alt (fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))>
#<alt (*.f64 x.im #s(literal -2 binary64))>

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

Calls

96 calls:

Time	Variable		Point	Expression
4.0ms	x.re	@	0	(neg (* 2 (* x.re x.im)))
2.0ms	x.im	@	0	(- (* x.re x.re) (* x.im x.im))
1.0ms	x.re	@	0	(* x.re (* x.im (* x.im -3)))
1.0ms	x.im	@	inf	(* x.im (* x.im -3))
1.0ms	x.re	@	-inf	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))

rewrite360.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

312×	`associate-r`
248×	`log1p-expm1-u`
248×	`expm1-log1p-u`
242×	`add-exp-log`
240×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	604
1	582	408

Stop Event

1×	node limit

Counts

19 → 702

Calls

Call 1

Inputs
(pow.f64 x.re #s(literal 3 binary64))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
(*.f64 x.im #s(literal -3 binary64))
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 x.re x.re)
(.f64 x.im (neg.f64 (.f64 #s(literal 2 binary64) (*.f64 x.re x.im))))
(neg.f64 (.f64 #s(literal 2 binary64) (.f64 x.re x.im)))
(*.f64 x.im x.im)
(.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (neg.f64 (.f64 #s(literal 2 binary64) (*.f64 x.re x.im)))))
(.f64 #s(literal 2 binary64) (.f64 x.re x.im))
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
(*.f64 x.im #s(literal -2 binary64))

Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 x.re (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.re)
(*.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (.f64 (cbrt.f64 x.re) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 (cbrt.f64 (pow.f64 x.re #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) x.re))
(.f64 (sqrt.f64 x.re) (.f64 (sqrt.f64 x.re) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (pow.f64 x.re #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x.re) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x.re) #s(literal 3 binary64)))
(.f64 (.f64 x.re (cbrt.f64 (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re))
(.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (sqrt.f64 x.re)) (sqrt.f64 x.re))
(sqrt.f64 (pow.f64 x.re #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 x.re #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x.re #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 x.re #s(literal 9 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x.re #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x.re #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x.re)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x.re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re)))) #s(literal 1 binary64))
(pow.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (.f64 x.im (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 x.re)) #s(literal 2 binary64))
(sqrt.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))))
(log.f64 (exp.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re)))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))))
(exp.f64 (log.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x.im (sqrt.f64 #s(literal -3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)))
(log.f64 (exp.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (.f64 x.im #s(literal -3 binary64)) #s(literal 3 binary64))))
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(/.f64 (+.f64 (pow.f64 (.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))) (.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64)) (.f64 (+.f64 (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))))) (-.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
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(pow.f64 (pow.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
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(cbrt.f64 (pow.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 3 binary64)))
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(log1p.f64 (expm1.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(exp.f64 (log.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(exp.f64 (.f64 (log.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im #s(literal -2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.im #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im #s(literal -2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im #s(literal -2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x.im #s(literal -2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x.im #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 x.im #s(literal -2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x.im #s(literal -2 binary64))) #s(literal 1 binary64)))

simplify277.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

176×	`*-commutative`
67×	`+-commutative`
52×	`sub-neg`
45×	`associate-r`
42×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	878	5184
1	3124	5184

Stop Event

1×

unsound

Counts

1074 → 485

Calls

Call 1

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

eval119.0ms (1.4%)

Compiler: Compiled 14275 to 1821 computations (87.2% saved)

prune239.0ms (2.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	656	11	667
Fresh	0	0	0
Picked	3	1	4
Done	0	0	0
Total	659	12	671

Accuracy

100.0%

Counts

671 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.9%	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
	83.5%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (.f64 #s(literal -2 binary64) (*.f64 x.im x.re))))
	60.5%	(pow.f64 x.re #s(literal 3 binary64))
▶	0.0%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
▶	83.4%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
	58.4%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal -2 binary64)) x.im))
	83.3%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x.re x.im))) (sqrt.f64 (.f64 x.re x.im))) x.im))
▶	86.2%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	53.4%	(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	80.4%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))) #s(literal 3 binary64)))
✓	80.7%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
▶	52.5%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))

Compiler

Compiled 385 to 231 computations (40% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 x.im #s(literal 2 binary64))
✓	cost-diff	64	(*.f64 #s(literal -1 binary64) x.re)
✓	cost-diff	256	(-.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal 2 binary64) x.re))
✓	cost-diff	256	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))
✓	cost-diff	0	(+.f64 x.re x.im)
✓	cost-diff	0	(-.f64 x.re x.im)
	cost-diff	128	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
	cost-diff	128	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	cost-diff	0	(*.f64 x.re x.im)
✓	cost-diff	0	(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	-6208	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
✓	cost-diff	0	(*.f64 x.im #s(literal 0 binary64))
	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	128	(/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))
	cost-diff	0	(pow.f64 x.re #s(literal 3 binary64))
	cost-diff	0	(*.f64 x.im #s(literal -3 binary64))
✓	cost-diff	0	(*.f64 x.re x.im)
✓	cost-diff	0	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))

Rules

20×	`*-commutative`
13×	`fma-define`
13×	`associate-l`
12×	`distribute-lft-neg-in`
12×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	790
1	113	790
2	283	790

Stop Event

1×

unsound

Calls

Call 1

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

Outputs
(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re x.im)
x.re
x.im
(*.f64 x.im #s(literal -3 binary64))
#s(literal -3 binary64)
(pow.f64 x.re #s(literal 3 binary64))
#s(literal 3 binary64)
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(.f64 x.re (-.f64 (.f64 x.re x.re) (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(-.f64 (*.f64 x.re x.re) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
(pow.f64 x.im #s(literal 2 binary64))
x.im
(/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(*.f64 x.im #s(literal 0 binary64))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (pow.f64 x.im #s(literal 2 binary64)))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(.f64 x.re (-.f64 (.f64 x.re x.re) (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(-.f64 (*.f64 x.re x.re) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
(pow.f64 x.im #s(literal 2 binary64))
x.im
(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
(.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))
(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(*.f64 x.re x.im)
#s(literal 2 binary64)
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (pow.f64 x.im #s(literal 2 binary64)))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))
(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re)
(.f64 x.re (-.f64 (.f64 x.re x.re) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))
(-.f64 (*.f64 x.re x.re) (pow.f64 x.im #s(literal 2 binary64)))
(-.f64 x.re x.im)
x.re
x.im
(+.f64 x.re x.im)
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
(pow.f64 x.im #s(literal 2 binary64))
x.im
#s(literal 2 binary64)
(-.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal 2 binary64) x.re))
(*.f64 x.re #s(literal -3 binary64))
(*.f64 #s(literal -1 binary64) x.re)
(neg.f64 x.re)
#s(literal -1 binary64)
x.re
(*.f64 #s(literal 2 binary64) x.re)
(*.f64 x.re #s(literal 2 binary64))

localize216.0ms (2.5%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal 2 binary64) x.re))
✓	accuracy	100.0%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) x.re)
✓	accuracy	100.0%	(*.f64 #s(literal -1 binary64) x.re)
	accuracy	100.0%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	accuracy	100.0%	(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re)
✓	accuracy	100.0%	(*.f64 x.re x.im)
✓	accuracy	100.0%	(*.f64 x.im x.re)
✓	accuracy	100.0%	(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
	accuracy	100.0%	(*.f64 x.re x.re)
✓	accuracy	100.0%	(*.f64 x.re x.im)
	accuracy	100.0%	(*.f64 x.im x.im)
	accuracy	100.0%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
	accuracy	100.0%	(*.f64 x.re x.re)
	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	100.0%	(*.f64 x.im #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
	accuracy	100.0%	(pow.f64 x.re #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x.re x.im)
	accuracy	100.0%	(*.f64 x.im #s(literal -3 binary64))

Results

121.0ms

256×

invalid

Compiler

Compiled 227 to 35 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 26.0ms (54.1% of total)

ival-pow: 8.0ms (16.7% of total)

ival-sub: 7.0ms (14.6% of total)

ival-fma: 3.0ms (6.2% of total)

ival-add: 2.0ms (4.2% of total)

ival-div: 1.0ms (2.1% of total)

const: 1.0ms (2.1% of total)

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

series75.0ms (0.9%)

Counts

16 → 207

Calls

Call 1

Inputs
#<alt (fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (*.f64 x.re x.im)>
#<alt (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))>
#<alt (*.f64 x.im #s(literal 0 binary64))>
#<alt (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))>
#<alt (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)>
#<alt (.f64 (.f64 x.re x.im) #s(literal 2 binary64))>
#<alt (-.f64 x.re x.im)>
#<alt (+.f64 x.re x.im)>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal 2 binary64) x.re))>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (*.f64 x.im x.re)>
#<alt (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re)>
#<alt (*.f64 #s(literal 2 binary64) x.re)>

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

Calls

78 calls:

Time	Variable		Point	Expression
50.0ms	x.re	@	-inf	(* (* (- x.re x.im) (+ x.re x.im)) x.re)
3.0ms	x.im	@	0	(* (* (- x.re x.im) (+ x.re x.im)) x.re)
1.0ms	x.re	@	0	(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
1.0ms	x.im	@	0	(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
0.0ms	x.re	@	inf	(* (* (- x.re x.im) (+ x.re x.im)) x.re)

rewrite59.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

247×	`associate-r`
235×	`log1p-expm1-u`
235×	`expm1-log1p-u`
228×	`add-cube-cbrt`
224×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	528
1	603	528

Stop Event

1×	node limit

Counts

16 → 403

Calls

Call 1

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

Outputs
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) x.re)
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -3 binary64))
(-.f64 #s(literal -3 binary64) x.re)
(*.f64 x.re x.re)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -3 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(pow.f64 x.re #s(literal -3 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(neg.f64 x.re)
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 x.re)))
(cbrt.f64 x.re)
x.re
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re #s(literal -3 binary64))
(hypot.f64 #s(literal -3 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) x.re)
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -3 binary64))
(-.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -3 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(pow.f64 x.re #s(literal -3 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(neg.f64 x.re)
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 x.re)))
(cbrt.f64 x.re)
x.re
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re #s(literal -3 binary64))
(hypot.f64 #s(literal -3 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -3 binary64))
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re x.re)
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) x.re)
(*.f64 x.re x.re)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -3 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(pow.f64 x.re #s(literal -3 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(neg.f64 x.re)
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 x.re)))
(cbrt.f64 x.re)
x.re
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re #s(literal -3 binary64))
(hypot.f64 #s(literal -3 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -3 binary64))
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re x.re)
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) x.re)
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -3 binary64))
(-.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -3 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(pow.f64 x.re #s(literal -3 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(neg.f64 x.re)
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 x.re)))
(cbrt.f64 x.re)
x.re
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re #s(literal -3 binary64))
(hypot.f64 #s(literal -3 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -3 binary64))
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re x.re)
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) x.re)
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -3 binary64))
(-.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -3 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(pow.f64 x.re #s(literal -3 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(neg.f64 x.re)
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 x.re)))
(cbrt.f64 x.re)
x.re
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re #s(literal -3 binary64))
(hypot.f64 #s(literal -3 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -3 binary64))
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re x.re)
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) x.re)
(*.f64 x.re x.re)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -3 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(pow.f64 x.re #s(literal -3 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(neg.f64 x.re)
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 x.re)))
(cbrt.f64 x.re)
x.re
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re #s(literal -3 binary64))
(hypot.f64 #s(literal -3 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -3 binary64))
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re x.re)
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -3 binary64))
(-.f64 #s(literal -3 binary64) x.re)
(*.f64 x.re x.re)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -3 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(pow.f64 x.re #s(literal -3 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(neg.f64 x.re)
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 x.re)))
(cbrt.f64 x.re)
x.re
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re #s(literal -3 binary64))
(hypot.f64 #s(literal -3 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -3 binary64))
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re x.re)
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) x.re)
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -3 binary64))
(-.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -3 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(pow.f64 x.re #s(literal -3 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(neg.f64 x.re)
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 x.re)))
(cbrt.f64 x.re)
x.re
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re #s(literal -3 binary64))
(hypot.f64 #s(literal -3 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -3 binary64))
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re x.re)
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) x.re)
(*.f64 x.re x.re)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -3 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(pow.f64 x.re #s(literal -3 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(neg.f64 x.re)
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 x.re)))
(cbrt.f64 x.re)
x.re
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re #s(literal -3 binary64))
(hypot.f64 #s(literal -3 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -3 binary64))
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re x.re)
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) x.re)
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -3 binary64))
(-.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -3 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(pow.f64 x.re #s(literal -3 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(neg.f64 x.re)
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 x.re)))
(cbrt.f64 x.re)
x.re
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re #s(literal -3 binary64))
(hypot.f64 #s(literal -3 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -3 binary64))
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re x.re)
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) x.re)
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -3 binary64))
(-.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -3 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(pow.f64 x.re #s(literal -3 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(neg.f64 x.re)
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 x.re)))
(cbrt.f64 x.re)
x.re
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re #s(literal -3 binary64))
(hypot.f64 #s(literal -3 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -3 binary64))
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re x.re)
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) x.re)
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -3 binary64))
(-.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -3 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(pow.f64 x.re #s(literal -3 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(neg.f64 x.re)
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 x.re)))
(cbrt.f64 x.re)
x.re
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re #s(literal -3 binary64))
(hypot.f64 #s(literal -3 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -3 binary64))
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re x.re)
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) x.re)
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -3 binary64))
(-.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -3 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(pow.f64 x.re #s(literal -3 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(neg.f64 x.re)
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 x.re)))
(cbrt.f64 x.re)
x.re
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re #s(literal -3 binary64))
(hypot.f64 #s(literal -3 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -3 binary64))
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re x.re)
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)

simplify306.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

533×	`fma-define`
453×	`associate-r`
452×	`unsub-neg`
422×	`associate-l`
421×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	171	7776
1	509	7540
2	1519	7315
3	6301	7147

Stop Event

1×	node limit

Counts

610 → 112

Calls

Call 1

Inputs
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(pow.f64 x.re #s(literal 3 binary64))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
(pow.f64 x.re #s(literal 3 binary64))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(*.f64 #s(literal -1 binary64) x.im)
x.re
(.f64 x.re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 x.im x.re))))
(.f64 x.re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 x.im x.re))))
(.f64 x.re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 x.im x.re))))
x.re
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64))))
x.re
(+.f64 x.re (*.f64 #s(literal -1 binary64) x.im))
(+.f64 x.re (*.f64 #s(literal -1 binary64) x.im))
(+.f64 x.re (*.f64 #s(literal -1 binary64) x.im))
(*.f64 #s(literal -1 binary64) x.im)
(*.f64 x.im (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))
(*.f64 x.im (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))
(*.f64 x.im (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x.im)
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))
x.im
(+.f64 x.im x.re)
(+.f64 x.im x.re)
(+.f64 x.im x.re)
x.re
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
x.re
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) #s(literal 1 binary64))))
x.re
(+.f64 x.im x.re)
(+.f64 x.im x.re)
(+.f64 x.im x.re)
x.im
(*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
(*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
(*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
x.im
(.f64 #s(literal -1 binary64) (.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64))))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 #s(literal -3 binary64) x.re)
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.re (+.f64 x.im (.f64 #s(literal -1 binary64) x.im)))))
(.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.re (+.f64 x.im (+.f64 x.re (.f64 #s(literal -1 binary64) x.im))))))
(.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.re (+.f64 x.im (+.f64 x.re (.f64 #s(literal -1 binary64) x.im))))))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (/.f64 x.im x.re))))
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(fma.f64 x.re x.re #s(literal -3 binary64))
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re x.re)
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) x.re)
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -3 binary64))
(-.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -3 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(pow.f64 x.re #s(literal -3 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(neg.f64 x.re)
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 x.re)))
(cbrt.f64 x.re)
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re #s(literal -3 binary64))
(hypot.f64 #s(literal -3 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -3 binary64))
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re x.re)
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)

Outputs
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
(pow.f64 x.re #s(literal 3 binary64))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (neg.f64 x.re) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (neg.f64 x.re) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) x.re)
(*.f64 x.re (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (neg.f64 x.re))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) x.re)
(*.f64 x.re (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (neg.f64 x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
(.f64 x.re (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
(.f64 x.re (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
(.f64 x.re (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
(.f64 x.re (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
(.f64 x.re (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
(.f64 x.re (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
(.f64 x.re (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
(.f64 x.re (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
(.f64 x.re (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
(.f64 x.re (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
(.f64 x.re (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
(.f64 x.re (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
(.f64 x.re (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))))
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(fma.f64 x.re x.re #s(literal -3 binary64))
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re x.re)
(*.f64 #s(literal -2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
(fma.f64 #s(literal -3 binary64) x.re x.re)
(*.f64 #s(literal -2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)
(+.f64 #s(literal 9 binary64) x.re)
(+.f64 x.re #s(literal 9 binary64))
(+.f64 x.re x.re)
(*.f64 #s(literal 2 binary64) x.re)
(+.f64 x.re #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) x.re)
(*.f64 x.re x.re)
(pow.f64 x.re #s(literal 2 binary64))
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(*.f64 #s(literal -3 binary64) x.re)
(*.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
#s(literal 1 binary64)
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(pow.f64 x.re #s(literal -3 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
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(neg.f64 x.re)
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(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
x.re
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 x.re)))
(cbrt.f64 x.re)
(expm1.f64 (log.f64 x.re))
(-.f64 x.re #s(literal 1 binary64))
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(hypot.f64 #s(literal -3 binary64) x.re)
(hypot.f64 x.re #s(literal -3 binary64))
(log1p.f64 (expm1.f64 x.re))
x.re
(exp.f64 (log.f64 x.re))
x.re
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -3 binary64))
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re x.re)
(*.f64 #s(literal -2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
(fma.f64 #s(literal -3 binary64) x.re x.re)
(*.f64 #s(literal -2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)
(+.f64 #s(literal 9 binary64) x.re)
(+.f64 x.re #s(literal 9 binary64))
(-.f64 x.re x.re)
#s(literal 0 binary64)
(-.f64 x.re #s(literal -3 binary64))
(+.f64 x.re #s(literal 3 binary64))
(-.f64 #s(literal -3 binary64) x.re)
(*.f64 x.re x.re)
(pow.f64 x.re #s(literal 2 binary64))
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(*.f64 #s(literal -3 binary64) x.re)
(*.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
#s(literal 1 binary64)
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(/.f64 #s(literal -3 binary64) x.re)
(pow.f64 x.re #s(literal -3 binary64))
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(cbrt.f64 x.re)
(neg.f64 x.re)
(sqrt.f64 x.re)
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x.re
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 x.re)))
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(-.f64 x.re #s(literal 1 binary64))
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(hypot.f64 #s(literal -3 binary64) x.re)
(hypot.f64 #s(literal -3 binary64) x.re)
(hypot.f64 x.re #s(literal -3 binary64))
(log1p.f64 (expm1.f64 x.re))
x.re
(exp.f64 (log.f64 x.re))
x.re
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -3 binary64))
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re x.re)
(*.f64 #s(literal -2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
(fma.f64 #s(literal -3 binary64) x.re x.re)
(*.f64 #s(literal -2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)
(+.f64 #s(literal 9 binary64) x.re)
(+.f64 x.re #s(literal 9 binary64))
(+.f64 x.re x.re)
(*.f64 #s(literal 2 binary64) x.re)
(+.f64 x.re #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) x.re)
(-.f64 x.re x.re)
#s(literal 0 binary64)
(-.f64 x.re #s(literal -3 binary64))
(+.f64 x.re #s(literal 3 binary64))
(-.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
#s(literal 1 binary64)
(/.f64 x.re #s(literal -3 binary64))
(*.f64 x.re #s(literal -1/3 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(pow.f64 x.re #s(literal -3 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(cbrt.f64 x.re)
(neg.f64 x.re)
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
x.re
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 x.re)))
(cbrt.f64 x.re)
(expm1.f64 (log.f64 x.re))
(-.f64 x.re #s(literal 1 binary64))
(+.f64 x.re #s(literal -1 binary64))
(hypot.f64 x.re #s(literal -3 binary64))
(hypot.f64 #s(literal -3 binary64) x.re)
(hypot.f64 #s(literal -3 binary64) x.re)
(hypot.f64 x.re #s(literal -3 binary64))
(log1p.f64 (expm1.f64 x.re))
x.re
(exp.f64 (log.f64 x.re))
x.re
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -3 binary64))
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re x.re)
(*.f64 #s(literal -2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
(fma.f64 #s(literal -3 binary64) x.re x.re)
(*.f64 #s(literal -2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)
(+.f64 #s(literal 9 binary64) x.re)
(+.f64 x.re #s(literal 9 binary64))
(+.f64 x.re x.re)
(*.f64 #s(literal 2 binary64) x.re)
(+.f64 x.re #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) x.re)
(*.f64 x.re x.re)
(pow.f64 x.re #s(literal 2 binary64))
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(*.f64 #s(literal -3 binary64) x.re)
(*.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
#s(literal 1 binary64)
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(/.f64 #s(literal -3 binary64) x.re)
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(cbrt.f64 x.re)
(neg.f64 x.re)
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
x.re
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 x.re)))
(cbrt.f64 x.re)
(expm1.f64 (log.f64 x.re))
(-.f64 x.re #s(literal 1 binary64))
(+.f64 x.re #s(literal -1 binary64))
(hypot.f64 x.re #s(literal -3 binary64))
(hypot.f64 #s(literal -3 binary64) x.re)
(hypot.f64 #s(literal -3 binary64) x.re)
(hypot.f64 x.re #s(literal -3 binary64))
(log1p.f64 (expm1.f64 x.re))
x.re
(exp.f64 (log.f64 x.re))
x.re
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -3 binary64))
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re x.re)
(*.f64 #s(literal -2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
(fma.f64 #s(literal -3 binary64) x.re x.re)
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(*.f64 x.re #s(literal -2 binary64))
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)
(+.f64 #s(literal 9 binary64) x.re)
(+.f64 x.re #s(literal 9 binary64))
(+.f64 x.re x.re)
(*.f64 #s(literal 2 binary64) x.re)
(+.f64 x.re #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) x.re)
(-.f64 x.re x.re)
#s(literal 0 binary64)
(-.f64 x.re #s(literal -3 binary64))
(+.f64 x.re #s(literal 3 binary64))
(-.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
#s(literal 1 binary64)
(/.f64 x.re #s(literal -3 binary64))
(*.f64 x.re #s(literal -1/3 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(pow.f64 x.re #s(literal -3 binary64))
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(cbrt.f64 x.re)
(neg.f64 x.re)
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
x.re
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 x.re)))
(cbrt.f64 x.re)
(expm1.f64 (log.f64 x.re))
(-.f64 x.re #s(literal 1 binary64))
(+.f64 x.re #s(literal -1 binary64))
(hypot.f64 x.re #s(literal -3 binary64))
(hypot.f64 #s(literal -3 binary64) x.re)
(hypot.f64 #s(literal -3 binary64) x.re)
(hypot.f64 x.re #s(literal -3 binary64))
(log1p.f64 (expm1.f64 x.re))
x.re
(exp.f64 (log.f64 x.re))
x.re
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -3 binary64))
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re x.re)
(*.f64 #s(literal -2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
(fma.f64 #s(literal -3 binary64) x.re x.re)
(*.f64 #s(literal -2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)
(+.f64 #s(literal 9 binary64) x.re)
(+.f64 x.re #s(literal 9 binary64))
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
(+.f64 x.re x.re)
(*.f64 #s(literal 2 binary64) x.re)
(+.f64 x.re #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) x.re)
(-.f64 x.re x.re)
#s(literal 0 binary64)
(-.f64 x.re #s(literal -3 binary64))
(+.f64 x.re #s(literal 3 binary64))
(-.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
#s(literal 1 binary64)
(/.f64 x.re #s(literal -3 binary64))
(*.f64 x.re #s(literal -1/3 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(pow.f64 x.re #s(literal -3 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(cbrt.f64 x.re)
(neg.f64 x.re)
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
x.re
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 x.re)))
(cbrt.f64 x.re)
(expm1.f64 (log.f64 x.re))
(-.f64 x.re #s(literal 1 binary64))
(+.f64 x.re #s(literal -1 binary64))
(hypot.f64 x.re #s(literal -3 binary64))
(hypot.f64 #s(literal -3 binary64) x.re)
(hypot.f64 #s(literal -3 binary64) x.re)
(hypot.f64 x.re #s(literal -3 binary64))
(log1p.f64 (expm1.f64 x.re))
x.re
(exp.f64 (log.f64 x.re))
x.re
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -3 binary64))
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re x.re)
(*.f64 #s(literal -2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
(fma.f64 #s(literal -3 binary64) x.re x.re)
(*.f64 #s(literal -2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)
(+.f64 #s(literal 9 binary64) x.re)
(+.f64 x.re #s(literal 9 binary64))
(+.f64 x.re x.re)
(*.f64 #s(literal 2 binary64) x.re)
(+.f64 x.re #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) x.re)
(-.f64 x.re x.re)
#s(literal 0 binary64)
(-.f64 x.re #s(literal -3 binary64))
(+.f64 x.re #s(literal 3 binary64))
(-.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
#s(literal 1 binary64)
(/.f64 x.re #s(literal -3 binary64))
(*.f64 x.re #s(literal -1/3 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(pow.f64 x.re #s(literal -3 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(cbrt.f64 x.re)
(neg.f64 x.re)
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
x.re
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 x.re)))
(cbrt.f64 x.re)
(expm1.f64 (log.f64 x.re))
(-.f64 x.re #s(literal 1 binary64))
(+.f64 x.re #s(literal -1 binary64))
(hypot.f64 x.re #s(literal -3 binary64))
(hypot.f64 #s(literal -3 binary64) x.re)
(hypot.f64 #s(literal -3 binary64) x.re)
(hypot.f64 x.re #s(literal -3 binary64))
(log1p.f64 (expm1.f64 x.re))
x.re
(exp.f64 (log.f64 x.re))
x.re
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -3 binary64))
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re x.re)
(*.f64 #s(literal -2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
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(*.f64 #s(literal -2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
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(+.f64 #s(literal 9 binary64) x.re)
(+.f64 x.re #s(literal 9 binary64))
(+.f64 x.re x.re)
(*.f64 #s(literal 2 binary64) x.re)
(+.f64 x.re #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) x.re)
(-.f64 x.re x.re)
#s(literal 0 binary64)
(-.f64 x.re #s(literal -3 binary64))
(+.f64 x.re #s(literal 3 binary64))
(-.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
#s(literal 1 binary64)
(/.f64 x.re #s(literal -3 binary64))
(*.f64 x.re #s(literal -1/3 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(pow.f64 x.re #s(literal -3 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(cbrt.f64 x.re)
(neg.f64 x.re)
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
x.re
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 x.re)))
(cbrt.f64 x.re)
(expm1.f64 (log.f64 x.re))
(-.f64 x.re #s(literal 1 binary64))
(+.f64 x.re #s(literal -1 binary64))
(hypot.f64 x.re #s(literal -3 binary64))
(hypot.f64 #s(literal -3 binary64) x.re)
(hypot.f64 #s(literal -3 binary64) x.re)
(hypot.f64 x.re #s(literal -3 binary64))
(log1p.f64 (expm1.f64 x.re))
x.re
(exp.f64 (log.f64 x.re))
x.re
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -3 binary64))
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re x.re)
(*.f64 #s(literal -2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
(fma.f64 #s(literal -3 binary64) x.re x.re)
(*.f64 #s(literal -2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)
(+.f64 #s(literal 9 binary64) x.re)
(+.f64 x.re #s(literal 9 binary64))

eval48.0ms (0.6%)

Compiler: Compiled 7771 to 1323 computations (83% saved)

prune142.0ms (1.7%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	432	16	448
Fresh	2	4	6
Picked	4	1	5
Done	1	0	1
Total	439	21	460

Accuracy

100.0%

Counts

460 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.9%	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
	83.5%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (.f64 #s(literal -2 binary64) (*.f64 x.im x.re))))
▶	60.5%	(pow.f64 x.re #s(literal 3 binary64))
▶	2.5%	(/.f64 #s(literal -3 binary64) x.re)
	85.8%	(-.f64 (+.f64 (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	83.3%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x.re x.im))) (sqrt.f64 (.f64 x.re x.im))) x.im))
	50.8%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/2 binary64))
▶	86.2%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
	82.4%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	62.7%	(-.f64 (.f64 (.f64 x.re (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	19.3%	(-.f64 x.re x.re)
	4.4%	(-.f64 x.re #s(literal 1 binary64))
	2.6%	(-.f64 #s(literal -3 binary64) x.re)
	80.4%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))) #s(literal 3 binary64)))
	52.5%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
	52.6%	(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
▶	40.9%	(*.f64 x.re x.re)
	3.3%	(*.f64 x.re #s(literal -1/3 binary64))
	3.3%	(*.f64 x.re #s(literal -3 binary64))
	3.3%	(neg.f64 x.re)
▶	2.6%	#s(literal 1 binary64)

Compiler

Compiled 474 to 298 computations (37.1% saved)

simplify72.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Program
	cost-diff	(pow.f64 x.re #s(literal 3 binary64))
✓	cost-diff	(/.f64 #s(literal -3 binary64) x.re)
	cost-diff	(*.f64 x.re x.re)
	cost-diff	(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
	cost-diff	(+.f64 x.re x.im)
	cost-diff	(-.f64 x.re x.im)
✓	cost-diff	(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))

Rules

750×	`sub-neg`
732×	`fma-define`
566×	`fma-neg`
527×	`unsub-neg`
440×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	287
1	57	283
2	149	278
3	389	274
4	1019	253
5	3255	253
6	7042	253

Stop Event

1×	node limit

Calls

Call 1

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

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

localize66.0ms (0.8%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(pow.f64 x.re #s(literal 3 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal -3 binary64) x.re)
	accuracy	100.0%	(*.f64 x.re x.re)
	accuracy	100.0%	(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
	accuracy	99.8%	(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
	accuracy	94.8%	(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re)
✓	accuracy	93.0%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))

Results

44.0ms

256×

valid

Compiler

Compiled 75 to 18 computations (76% saved)

Precisions

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

ival-mult: 11.0ms (48% of total)

ival-pow: 4.0ms (17.5% of total)

ival-sub: 3.0ms (13.1% of total)

ival-div: 2.0ms (8.7% of total)

ival-add: 1.0ms (4.4% of total)

const: 1.0ms (4.4% of total)

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

series7.0ms (0.1%)

Counts

3 → 48

Calls

Call 1

Inputs

#<alt (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))>

#<alt (/.f64 #s(literal -3 binary64) x.re)>

#<alt (-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))>

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

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	x.im	@	inf	(* (- x.re x.im) (+ x.re x.im))
0.0ms	x.re	@	inf	(- (* (* (- x.re x.im) (+ x.re x.im)) x.re) (* (* (* x.re x.im) 2) x.im))
0.0ms	x.re	@	-inf	(- (* (* (- x.re x.im) (+ x.re x.im)) x.re) (* (* (* x.re x.im) 2) x.im))
0.0ms	x.re	@	-inf	(* (- x.re x.im) (+ x.re x.im))
0.0ms	x.im	@	inf	(- (* (* (- x.re x.im) (+ x.re x.im)) x.re) (* (* (* x.re x.im) 2) x.im))

rewrite201.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

934×	`log1p-expm1-u`
934×	`expm1-log1p-u`
366×	`fma-neg`
153×	`associate-r`
131×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	114
1	282	98
2	4407	98

Stop Event

1×	node limit

Counts

3 → 163

Calls

Call 1

Inputs

(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))

(/.f64 #s(literal -3 binary64) x.re)

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

Outputs
(+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))
(+.f64 (pow.f64 x.re #s(literal 2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(+.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (neg.f64 x.im) x.im))
(+.f64 (.f64 x.re (-.f64 x.re x.im)) (.f64 x.im (-.f64 x.re x.im)))
(+.f64 (.f64 x.im (-.f64 x.re x.im)) (.f64 x.re (-.f64 x.re x.im)))
(+.f64 (.f64 x.re (+.f64 x.re x.im)) (.f64 (+.f64 x.re x.im) (neg.f64 x.im)))
(+.f64 (.f64 x.re (+.f64 x.re x.im)) (.f64 (neg.f64 x.im) (+.f64 x.re x.im)))
(+.f64 (.f64 (.f64 x.re (-.f64 x.re x.im)) #s(literal 1 binary64)) (.f64 (.f64 x.im (-.f64 x.re x.im)) #s(literal 1 binary64)))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
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(fma.f64 (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (.f64 (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) x.re) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (.f64 (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) x.re) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(fma.f64 (sqrt.f64 x.re) (.f64 (sqrt.f64 x.re) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(fma.f64 (sqrt.f64 x.re) (.f64 (sqrt.f64 x.re) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(fma.f64 (.f64 x.re (-.f64 x.re x.im)) (+.f64 x.re x.im) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(fma.f64 (.f64 x.re (-.f64 x.re x.im)) (+.f64 x.re x.im) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(fma.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(fma.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(fma.f64 (.f64 x.re (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(fma.f64 (.f64 x.re (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(fma.f64 (.f64 x.re (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(fma.f64 (.f64 x.re (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(fma.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(fma.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(fma.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (sqrt.f64 x.re)) (sqrt.f64 x.re) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(fma.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (sqrt.f64 x.re)) (sqrt.f64 x.re) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))

simplify459.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

563×	`fma-neg`
532×	`cancel-sign-sub-inv`
341×	`distribute-rgt-neg-in`
335×	`distribute-lft-neg-in`
312×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	487	14312
1	1349	9336
2	5125	9012

Stop Event

1×	node limit

Counts

211 → 250

Calls

Call 1

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

Outputs
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.re (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))))
(neg.f64 (pow.f64 x.im #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.re (+.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re (+.f64 x.im (-.f64 x.re x.im))))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.re (+.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re (+.f64 x.im (-.f64 x.re x.im))))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(pow.f64 x.re #s(literal 2 binary64))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (/.f64 x.im x.re))))
(pow.f64 x.re #s(literal 2 binary64))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 x.im x.re) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (/.f64 x.im x.re)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (neg.f64 (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 x.im x.re) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (/.f64 x.im x.re)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (neg.f64 (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(pow.f64 x.re #s(literal 2 binary64))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (/.f64 x.im x.re))))
(pow.f64 x.re #s(literal 2 binary64))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (+.f64 x.im (.f64 #s(literal -1 binary64) x.im))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 x.im x.re) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (/.f64 x.im x.re)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (neg.f64 (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (+.f64 x.im (.f64 #s(literal -1 binary64) x.im))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 x.im x.re) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (/.f64 x.im x.re)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (neg.f64 (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(pow.f64 x.re #s(literal 2 binary64))
(+.f64 (.f64 x.im (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) (pow.f64 x.re #s(literal 2 binary64)))
(pow.f64 x.re #s(literal 2 binary64))
(+.f64 (.f64 x.im (+.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re (+.f64 x.im (-.f64 x.re x.im))))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(+.f64 (.f64 x.im (+.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re (+.f64 x.im (-.f64 x.re x.im))))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 2 binary64)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im)) #s(literal 1 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 2 binary64)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (+.f64 (/.f64 x.re x.im) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (+.f64 (.f64 #s(literal 0 binary64) (/.f64 x.re x.im)) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 0 binary64))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 x.re (/.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (+.f64 (/.f64 x.re x.im) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (+.f64 (.f64 #s(literal 0 binary64) (/.f64 x.re x.im)) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 0 binary64))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 x.re (/.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 2 binary64)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)) x.im)) #s(literal 1 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 2 binary64)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))) x.im)) #s(literal 1 binary64)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (+.f64 (.f64 #s(literal 0 binary64) (/.f64 x.re x.im)) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 0 binary64))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 x.re (/.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))) x.im)) #s(literal 1 binary64)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (+.f64 (.f64 #s(literal 0 binary64) (/.f64 x.re x.im)) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 0 binary64))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 x.re (/.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 x.re (-.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 x.re (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
(.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) #s(literal -3 binary64))
(.f64 x.re (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.re (+.f64 x.im (.f64 #s(literal -1 binary64) x.im)))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 x.re (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
(.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) #s(literal -3 binary64))
(.f64 x.re (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.re (+.f64 x.im (+.f64 x.re (.f64 #s(literal -1 binary64) x.im))))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 x.re (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re (+.f64 x.im (-.f64 x.re x.im)))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))
(.f64 x.re (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))))
(.f64 x.re (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.re (+.f64 x.im (+.f64 x.re (.f64 #s(literal -1 binary64) x.im))))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 x.re (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re (+.f64 x.im (-.f64 x.re x.im)))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))
(.f64 x.re (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (/.f64 x.im x.re))))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re)))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x.im x.re) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (/.f64 x.im x.re))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (neg.f64 (pow.f64 x.re #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -2 binary64))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re)))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x.im x.re) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (/.f64 x.im x.re))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (neg.f64 (pow.f64 x.re #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -2 binary64))))
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(.f64 x.re (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re (+.f64 x.im (-.f64 x.re x.im)))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))
(.f64 x.re (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))))
(fma.f64 (.f64 x.re (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(.f64 x.re (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re (+.f64 x.im (-.f64 x.re x.im)))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))
(.f64 x.re (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))))
(fma.f64 (.f64 x.re (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(.f64 x.re (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re (+.f64 x.im (-.f64 x.re x.im)))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))
(.f64 x.re (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))))
(fma.f64 (.f64 x.re (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(.f64 x.re (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re (+.f64 x.im (-.f64 x.re x.im)))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))
(.f64 x.re (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))))
(fma.f64 (.f64 x.re (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(.f64 x.re (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re (+.f64 x.im (-.f64 x.re x.im)))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))
(.f64 x.re (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))))
(fma.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(.f64 x.re (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re (+.f64 x.im (-.f64 x.re x.im)))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))
(.f64 x.re (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))))
(fma.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(.f64 x.re (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re (+.f64 x.im (-.f64 x.re x.im)))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))
(.f64 x.re (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))))
(fma.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (sqrt.f64 x.re)) (sqrt.f64 x.re) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(.f64 x.re (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re (+.f64 x.im (-.f64 x.re x.im)))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))
(.f64 x.re (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))))
(fma.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (sqrt.f64 x.re)) (sqrt.f64 x.re) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(.f64 x.re (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re (+.f64 x.im (-.f64 x.re x.im)))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))
(.f64 x.re (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))))

eval293.0ms (3.4%)

Compiler: Compiled 7943 to 1066 computations (86.6% saved)

prune59.0ms (0.7%)

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	315	11	326
Fresh	8	7	15
Picked	0	5	5
Done	0	1	1
Total	323	24	347

Accuracy

100.0%

Counts

347 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.3%	(fma.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 x.re x.im)) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
✓	88.9%	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
✓	60.5%	(pow.f64 x.re #s(literal 3 binary64))
✓	2.5%	(/.f64 #s(literal -3 binary64) x.re)
	85.8%	(-.f64 (+.f64 (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
	50.8%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/2 binary64))
	79.5%	(-.f64 (.f64 (+.f64 (.f64 x.re (+.f64 x.re x.im)) (.f64 (+.f64 x.re x.im) (neg.f64 x.im))) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
✓	86.2%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
	82.4%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
	63.0%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
	41.9%	(-.f64 (.f64 (.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (/.f64 (-.f64 x.re x.im) (fma.f64 x.re x.re (.f64 x.im (-.f64 x.im x.re))))) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
▶	62.7%	(-.f64 (.f64 (.f64 x.re (+.f64 x.re x.im)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
	19.3%	(-.f64 x.re x.re)
▶	4.4%	(-.f64 x.re #s(literal 1 binary64))
	2.6%	(-.f64 #s(literal -3 binary64) x.re)
	85.8%	(+.f64 (.f64 x.im (+.f64 (.f64 x.im (-.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal 2 binary64) x.re))) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64)))
	52.5%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
	2.5%	(*.f64 (/.f64 #s(literal 1 binary64) x.re) #s(literal -3 binary64))
▶	52.6%	(.f64 x.re (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))
✓	40.9%	(*.f64 x.re x.re)
	3.3%	(*.f64 x.re #s(literal -1/3 binary64))
	3.3%	(*.f64 x.re #s(literal -3 binary64))
▶	3.3%	(neg.f64 x.re)
✓	2.6%	#s(literal 1 binary64)

Compiler

Compiled 553 to 349 computations (36.9% saved)

simplify80.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Program
✓	cost-diff	(pow.f64 x.im #s(literal 2 binary64))
✓	cost-diff	(*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))
✓	cost-diff	(.f64 x.re (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))
	cost-diff	(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
	cost-diff	(+.f64 x.re x.im)
✓	cost-diff	(*.f64 x.re (+.f64 x.re x.im))
✓	cost-diff	(.f64 (.f64 x.re (+.f64 x.re x.im)) x.re)
✓	cost-diff	(-.f64 x.re #s(literal 1 binary64))
✓	cost-diff	(neg.f64 x.re)
✓	cost-diff	(.f64 (.f64 x.re x.im) #s(literal -2 binary64))
	cost-diff	(+.f64 x.re x.im)
✓	cost-diff	(*.f64 x.re (+.f64 x.re x.im))
	cost-diff	(-.f64 x.re x.im)

Rules

865×	`fma-define`
574×	`sub-neg`
554×	`unsub-neg`
402×	`fma-neg`
369×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	29	473
1	74	457
2	170	452
3	436	443
4	1000	439
5	3007	439
6	6750	422

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 x.re x.im)) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(-.f64 x.re x.im)
x.re
x.im
(*.f64 x.re (+.f64 x.re x.im))
(+.f64 x.re x.im)
(.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -2 binary64)))
(.f64 (.f64 x.re x.im) #s(literal -2 binary64))
(*.f64 x.re x.im)
#s(literal -2 binary64)
(neg.f64 x.re)
x.re
(-.f64 x.re #s(literal 1 binary64))
x.re
#s(literal 1 binary64)
(-.f64 (.f64 (.f64 x.re (+.f64 x.re x.im)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(.f64 (.f64 x.re (+.f64 x.re x.im)) x.re)
(*.f64 x.re (+.f64 x.re x.im))
x.re
(+.f64 x.re x.im)
x.im
(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.re x.im)
#s(literal 2 binary64)
(.f64 x.re (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))
x.re
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))
(pow.f64 x.im #s(literal 2 binary64))
x.im
#s(literal 2 binary64)
#s(literal -3 binary64)

Outputs
(fma.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 x.re x.im)) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(fma.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 x.re x.im)) (.f64 x.im (.f64 x.re (.f64 x.im #s(literal -2 binary64)))))
(fma.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 x.re x.im)) (.f64 #s(literal -2 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 x.re x.im)) (.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))
(.f64 x.re (+.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 x.re (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) (.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))))
(-.f64 x.re x.im)
x.re
x.im
(*.f64 x.re (+.f64 x.re x.im))
(+.f64 x.re x.im)
(.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -2 binary64)))
(.f64 x.im (.f64 x.re (*.f64 x.im #s(literal -2 binary64))))
(.f64 #s(literal -2 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(.f64 x.re (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -2 binary64)))
(.f64 x.re (.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (.f64 x.re x.im) #s(literal -2 binary64))
(.f64 x.re (.f64 x.im #s(literal -2 binary64)))
(.f64 x.im (.f64 x.re #s(literal -2 binary64)))
(*.f64 x.re x.im)
#s(literal -2 binary64)
(neg.f64 x.re)
x.re
(-.f64 x.re #s(literal 1 binary64))
(+.f64 x.re #s(literal -1 binary64))
x.re
#s(literal 1 binary64)
(-.f64 (.f64 (.f64 x.re (+.f64 x.re x.im)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 x.re (.f64 x.re (+.f64 x.re x.im))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))
(fma.f64 x.re (.f64 x.re (+.f64 x.re x.im)) (.f64 #s(literal -2 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 x.re (+.f64 (.f64 x.re (+.f64 x.re x.im)) (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 x.re (fma.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re (+.f64 x.re x.im))))
(fma.f64 x.re (.f64 x.im (-.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 (.f64 x.re (+.f64 x.re x.im)) x.re)
(.f64 x.re (.f64 x.re (+.f64 x.re x.im)))
(.f64 (+.f64 x.re x.im) (.f64 x.re x.re))
(*.f64 x.re (+.f64 x.re x.im))
x.re
(+.f64 x.re x.im)
x.im
(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
(.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(.f64 x.re (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal 2 binary64)))
(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(.f64 x.im (.f64 x.re #s(literal 2 binary64)))
(*.f64 x.re x.im)
#s(literal 2 binary64)
(.f64 x.re (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
x.re
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))
(pow.f64 x.im #s(literal 2 binary64))
x.im
#s(literal 2 binary64)
#s(literal -3 binary64)

localize95.0ms (1.1%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 x.im #s(literal 2 binary64))
✓	accuracy	99.7%	(*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))
✓	accuracy	90.2%	(.f64 x.re (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))
✓	accuracy	100.0%	(*.f64 x.re (+.f64 x.re x.im))
✓	accuracy	99.9%	(.f64 (.f64 x.re (+.f64 x.re x.im)) x.re)
	accuracy	99.8%	(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
✓	accuracy	85.3%	(-.f64 (.f64 (.f64 x.re (+.f64 x.re x.im)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
✓	accuracy	100.0%	(-.f64 x.re #s(literal 1 binary64))
✓	accuracy	100.0%	(neg.f64 x.re)
✓	accuracy	100.0%	(.f64 (.f64 x.re x.im) #s(literal -2 binary64))
✓	accuracy	100.0%	(*.f64 x.re (+.f64 x.re x.im))
✓	accuracy	99.8%	(.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -2 binary64)))
✓	accuracy	92.8%	(fma.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 x.re x.im)) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))

Results

61.0ms

256×

valid

Compiler

Compiled 123 to 23 computations (81.3% saved)

Precisions

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

ival-mult: 17.0ms (50.8% of total)

ival-fma: 6.0ms (17.9% of total)

ival-sub: 4.0ms (11.9% of total)

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

ival-add: 1.0ms (3% of total)

const: 1.0ms (3% of total)

ival-neg: 1.0ms (3% of total)

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

series82.0ms (1%)

Counts

11 → 201

Calls

Call 1

Inputs
#<alt (*.f64 x.re (+.f64 x.re x.im))>
#<alt (.f64 (.f64 x.re x.im) #s(literal -2 binary64))>
#<alt (neg.f64 x.re)>
#<alt (-.f64 x.re #s(literal 1 binary64))>
#<alt (.f64 (.f64 x.re (+.f64 x.re x.im)) x.re)>
#<alt (.f64 x.re (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (fma.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 x.re x.im)) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))>
#<alt (.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -2 binary64)))>
#<alt (-.f64 (.f64 (.f64 x.re (+.f64 x.re x.im)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))>

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

Calls

54 calls:

Time	Variable		Point	Expression
63.0ms	x.re	@	-inf	(* (* x.re (+ x.re x.im)) x.re)
0.0ms	x.re	@	-inf	(* x.re (+ x.re x.im))
0.0ms	x.re	@	0	(+ (* (- x.re x.im) (* x.re (+ x.re x.im))) (* x.im (* (* x.re x.im) -2)))
0.0ms	x.re	@	inf	(+ (* (- x.re x.im) (* x.re (+ x.re x.im))) (* x.im (* (* x.re x.im) -2)))
0.0ms	x.re	@	-inf	(+ (* (- x.re x.im) (* x.re (+ x.re x.im))) (* x.im (* (* x.re x.im) -2)))

rewrite196.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1044×	`log1p-expm1-u`
228×	`associate-r`
196×	`expm1-log1p-u`
195×	`add-cube-cbrt`
193×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	302
1	439	282
2	6363	282

Stop Event

1×	node limit

Counts

11 → 255

Calls

Call 1

Inputs
(*.f64 x.re (+.f64 x.re x.im))
(.f64 (.f64 x.re x.im) #s(literal -2 binary64))
(neg.f64 x.re)
(-.f64 x.re #s(literal 1 binary64))
(.f64 (.f64 x.re (+.f64 x.re x.im)) x.re)
(.f64 x.re (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(fma.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 x.re x.im)) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -2 binary64)))
(-.f64 (.f64 (.f64 x.re (+.f64 x.re x.im)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))

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

simplify383.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

577×	`associate-r`
531×	`associate-l`
480×	`fma-define`
335×	`exp-prod`
298×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	668	16199
1	1616	14410
2	7364	14410

Stop Event

1×	node limit

Counts

456 → 420

Calls

Call 1

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

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

eval98.0ms (1.2%)

Compiler: Compiled 9225 to 1356 computations (85.3% saved)

prune156.0ms (1.8%)

Pruning

24 alts after pruning (17 fresh and 7 done)

	Pruned	Kept	Total
New	486	6	492
Fresh	2	11	13
Picked	3	2	5
Done	1	5	6
Total	492	24	516

Accuracy

100.0%

Counts

516 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.8%	(fma.f64 (-.f64 x.re x.im) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
	68.1%	(fma.f64 (-.f64 x.re x.im) (.f64 x.re x.im) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
✓	88.9%	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
✓	60.5%	(pow.f64 x.re #s(literal 3 binary64))
✓	2.5%	(/.f64 #s(literal -3 binary64) x.re)
	85.8%	(-.f64 (+.f64 (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
	50.8%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/2 binary64))
	79.5%	(-.f64 (.f64 (+.f64 (.f64 x.re (+.f64 x.re x.im)) (.f64 (+.f64 x.re x.im) (neg.f64 x.im))) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
✓	86.2%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
	63.0%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
✓	62.7%	(-.f64 (.f64 (.f64 x.re (+.f64 x.re x.im)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
	19.3%	(-.f64 x.re x.re)
	2.6%	(-.f64 #s(literal -3 binary64) x.re)
	85.8%	(+.f64 (.f64 x.im (+.f64 (.f64 x.im (-.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal 2 binary64) x.re))) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64)))
	52.5%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
	2.5%	(*.f64 (/.f64 #s(literal 1 binary64) x.re) #s(literal -3 binary64))
	52.6%	(.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
✓	40.9%	(*.f64 x.re x.re)
	3.3%	(*.f64 x.re #s(literal -1/3 binary64))
	3.3%	(*.f64 x.re #s(literal -3 binary64))
	63.1%	(.f64 x.im (.f64 x.re (+.f64 x.re (*.f64 x.im #s(literal -2 binary64)))))
✓	3.3%	(neg.f64 x.re)
	4.5%	x.re
	2.6%	#s(literal -1 binary64)

Compiler

Compiled 879 to 314 computations (64.3% saved)

regimes47.0ms (0.6%)

Counts

48 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
x.re
(neg.f64 x.re)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 x.re #s(literal -1/3 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -3 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -3 binary64) x.re)
(*.f64 (/.f64 #s(literal 1 binary64) x.re) #s(literal -3 binary64))
(.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(.f64 x.im (.f64 x.re (+.f64 x.re (*.f64 x.im #s(literal -2 binary64)))))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/2 binary64))
(-.f64 (.f64 (.f64 x.re (+.f64 x.re x.im)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (.f64 (.f64 x.re (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal -2 binary64)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (+.f64 (.f64 x.re (+.f64 x.re x.im)) (.f64 (+.f64 x.re x.im) (neg.f64 x.im))) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 x.re (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(fma.f64 (-.f64 x.re x.im) (.f64 x.re x.im) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (.f64 #s(literal -2 binary64) (*.f64 x.im x.re))))
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
(fma.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 x.re x.im)) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (neg.f64 (.f64 #s(literal 2 binary64) (*.f64 x.re x.im)))))
(+.f64 (.f64 x.im (+.f64 (.f64 x.im (-.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal 2 binary64) x.re))) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (+.f64 (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (+.f64 (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (-.f64 x.re x.im) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x.re x.im))) (sqrt.f64 (.f64 x.re x.im))) x.im))
(-.f64 (.f64 (.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (/.f64 (-.f64 x.re x.im) (fma.f64 x.re x.re (.f64 x.im (-.f64 x.im x.re))))) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))) #s(literal 3 binary64)))

Outputs
(fma.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 x.re x.im)) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(.f64 x.im (.f64 x.re (+.f64 x.re (*.f64 x.im #s(literal -2 binary64)))))

Calls

3 calls:

17.0ms	x.im
14.0ms	x.re
13.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
99.1%	2	`x.re`
94.4%	2	`x.im`
99.9%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes24.0ms (0.3%)

Counts

38 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
x.re
(neg.f64 x.re)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 x.re #s(literal -1/3 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -3 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -3 binary64) x.re)
(*.f64 (/.f64 #s(literal 1 binary64) x.re) #s(literal -3 binary64))
(.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(.f64 x.im (.f64 x.re (+.f64 x.re (*.f64 x.im #s(literal -2 binary64)))))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/2 binary64))
(-.f64 (.f64 (.f64 x.re (+.f64 x.re x.im)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (.f64 (.f64 x.re (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal -2 binary64)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (+.f64 (.f64 x.re (+.f64 x.re x.im)) (.f64 (+.f64 x.re x.im) (neg.f64 x.im))) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 x.re (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(fma.f64 (-.f64 x.re x.im) (.f64 x.re x.im) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (.f64 #s(literal -2 binary64) (*.f64 x.im x.re))))
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))

Outputs

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

(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))

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

Calls

2 calls:

11.0ms	x.re
10.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
98.4%	3	`x.re`
99.9%	3	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes22.0ms (0.3%)

Counts

35 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
x.re
(neg.f64 x.re)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 x.re #s(literal -1/3 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -3 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -3 binary64) x.re)
(*.f64 (/.f64 #s(literal 1 binary64) x.re) #s(literal -3 binary64))
(.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(.f64 x.im (.f64 x.re (+.f64 x.re (*.f64 x.im #s(literal -2 binary64)))))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/2 binary64))
(-.f64 (.f64 (.f64 x.re (+.f64 x.re x.im)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (.f64 (.f64 x.re (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal -2 binary64)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (+.f64 (.f64 x.re (+.f64 x.re x.im)) (.f64 (+.f64 x.re x.im) (neg.f64 x.im))) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 x.re (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))

Outputs

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

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

Calls

2 calls:

11.0ms	x.re
9.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
94.0%	2	`x.re`
94.8%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes15.0ms (0.2%)

Counts

19 → 3

Calls

Call 1

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

Outputs

(*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))

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

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

Calls

2 calls:

7.0ms	x.re
6.0ms	x.im

Results

Accuracy	Segments	Branch
89.3%	3	`x.re`
84.1%	3	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts

14 → 2

Calls

Call 1

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

Outputs
(.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(.f64 x.im (.f64 x.re (+.f64 x.re (*.f64 x.im #s(literal -2 binary64)))))

Calls

2 calls:

5.0ms	x.im
5.0ms	x.re

Results

Accuracy	Segments	Branch
63.1%	1	`x.im`
77.8%	2	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

13 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
x.re
(neg.f64 x.re)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 x.re #s(literal -1/3 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -3 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -3 binary64) x.re)
(*.f64 (/.f64 #s(literal 1 binary64) x.re) #s(literal -3 binary64))
(.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))

Outputs
(.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(*.f64 x.re x.re)

Calls

1 calls:

5.0ms

x.re

Results

Accuracy	Segments	Branch
72.0%	2	`x.re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
x.re
(neg.f64 x.re)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 x.re #s(literal -1/3 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -3 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -3 binary64) x.re)
(*.f64 (/.f64 #s(literal 1 binary64) x.re) #s(literal -3 binary64))

Outputs
(*.f64 x.re x.re)

Calls

2 calls:

4.0ms	x.re
4.0ms	x.im

Results

Accuracy	Segments	Branch
40.9%	1	`x.im`
40.9%	1	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes59.0ms (0.7%)

Counts

6 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
x.re
(neg.f64 x.re)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 x.re #s(literal -1/3 binary64))

Outputs
x.re

Calls

2 calls:

55.0ms	x.im
3.0ms	x.re

Results

Accuracy	Segments	Branch
4.5%	1	`x.re`
4.5%	1	`x.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 binary64)

Outputs
#s(literal 1 binary64)

Calls

2 calls:

2.0ms	x.re
2.0ms	x.im

Results

Accuracy	Segments	Branch
2.6%	1	`x.re`
2.6%	1	`x.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	x.re
1.0ms	x.im

Results

Accuracy	Segments	Branch
2.6%	1	`x.im`
2.6%	1	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-1.2470300592929925e+78	-1.0543177694706269e+69

Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch37.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.917926758433468e+147	4.739638386214676e+149
20.0ms	38.64781677582554	58953083.082382314

Results

26.0ms

256×

valid

Compiler

Compiled 424 to 278 computations (34.4% saved)

Precisions

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

ival-mult: 11.0ms (70.8% of total)

ival-sub: 3.0ms (19.3% of total)

ival-add: 1.0ms (6.4% of total)

const: 0.0ms (0% of total)

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

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	8.562933129798137e+42	1.802163956184784e+43

Results

10.0ms

80×

valid

Compiler

Compiled 136 to 90 computations (33.8% saved)

Precisions

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

ival-sub: 4.0ms (51.3% of total)

ival-mult: 3.0ms (38.5% of total)

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

const: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	9.996329184787875e+151	2.3988893918753533e+159

Results

12.0ms

144×

valid

Compiler

Compiled 170 to 114 computations (32.9% saved)

Precisions

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

ival-mult: 6.0ms (72.8% of total)

ival-sub: 1.0ms (12.1% of total)

ival-add: 1.0ms (12.1% of total)

const: 0.0ms (0% of total)

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

simplify21.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative`
19×	`+-commutative`
15×	`sub-neg`
10×	`neg-sub0`
10×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	1012
1	117	1012
2	152	1012
3	176	1012
4	189	1012
5	193	1012
6	194	1012

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal +inf.0 binary64)) (fma.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 x.re x.im)) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64)))) (.f64 x.im (.f64 x.re (+.f64 x.re (*.f64 x.im #s(literal -2 binary64))))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -1000000000000000008493621433689702976148869924598760615894999102702796905906176 binary64)) (fma.f64 (-.f64 x.re x.im) (.f64 x.re x.im) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64)))) (if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal +inf.0 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (.f64 x.im #s(literal -3 binary64))))) (.f64 x.im (.f64 x.re (+.f64 x.re (.f64 x.im #s(literal -2 binary64)))))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal +inf.0 binary64)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im)) (.f64 x.im (.f64 x.re (+.f64 x.re (.f64 x.im #s(literal -2 binary64))))))
(if (<=.f64 x.re #s(literal 42 binary64)) (.f64 x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) (if (<=.f64 x.re #s(literal 449999999999999982290534223901732433891356407713586777470507155977869296973027872581343119459825476805827793197734632938723644470716557607522497724416 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #s(literal 1/2 binary64)) (.f64 x.im (.f64 x.re (+.f64 x.re (*.f64 x.im #s(literal -2 binary64)))))))
(if (<=.f64 x.re #s(literal 18000000000000000498457818384021433415106560 binary64)) (.f64 x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) (.f64 x.im (.f64 x.re (+.f64 x.re (.f64 x.im #s(literal -2 binary64))))))
(if (<=.f64 x.re #s(literal 12999999999999999438322098794574906741241322790552194538119357436456535537607035931016983603249767945252974976541954879599487129611252739907155155400785920 binary64)) (.f64 x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) (.f64 x.re x.re))
(*.f64 x.re x.re)
x.re
#s(literal 1 binary64)
#s(literal -1 binary64)

Outputs
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal +inf.0 binary64)) (fma.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 x.re x.im)) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64)))) (.f64 x.im (.f64 x.re (+.f64 x.re (*.f64 x.im #s(literal -2 binary64))))))
(if (<=.f64 (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) #s(literal +inf.0 binary64)) (fma.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 x.re x.im)) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64)))) (.f64 x.im (.f64 x.re (+.f64 x.re (*.f64 x.im #s(literal -2 binary64))))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -1000000000000000008493621433689702976148869924598760615894999102702796905906176 binary64)) (fma.f64 (-.f64 x.re x.im) (.f64 x.re x.im) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64)))) (if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal +inf.0 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (.f64 x.im #s(literal -3 binary64))))) (.f64 x.im (.f64 x.re (+.f64 x.re (.f64 x.im #s(literal -2 binary64)))))))
(if (<=.f64 (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) #s(literal -1000000000000000008493621433689702976148869924598760615894999102702796905906176 binary64)) (fma.f64 (-.f64 x.re x.im) (.f64 x.re x.im) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64)))) (if (<=.f64 (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) #s(literal +inf.0 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (.f64 x.im #s(literal -3 binary64))))) (.f64 x.im (.f64 x.re (+.f64 x.re (.f64 x.im #s(literal -2 binary64)))))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal +inf.0 binary64)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im)) (.f64 x.im (.f64 x.re (+.f64 x.re (.f64 x.im #s(literal -2 binary64))))))
(if (<=.f64 (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) #s(literal +inf.0 binary64)) (-.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal 2 binary64)))) (.f64 x.im (.f64 x.re (+.f64 x.re (.f64 x.im #s(literal -2 binary64))))))
(if (<=.f64 x.re #s(literal 42 binary64)) (.f64 x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) (if (<=.f64 x.re #s(literal 449999999999999982290534223901732433891356407713586777470507155977869296973027872581343119459825476805827793197734632938723644470716557607522497724416 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #s(literal 1/2 binary64)) (.f64 x.im (.f64 x.re (+.f64 x.re (*.f64 x.im #s(literal -2 binary64)))))))
(if (<=.f64 x.re #s(literal 42 binary64)) (.f64 x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) (if (<=.f64 x.re #s(literal 449999999999999982290534223901732433891356407713586777470507155977869296973027872581343119459825476805827793197734632938723644470716557607522497724416 binary64)) (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #s(literal 1/2 binary64)) (.f64 x.im (.f64 x.re (+.f64 x.re (*.f64 x.im #s(literal -2 binary64)))))))
(if (<=.f64 x.re #s(literal 18000000000000000498457818384021433415106560 binary64)) (.f64 x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) (.f64 x.im (.f64 x.re (+.f64 x.re (.f64 x.im #s(literal -2 binary64))))))
(if (<=.f64 x.re #s(literal 12999999999999999438322098794574906741241322790552194538119357436456535537607035931016983603249767945252974976541954879599487129611252739907155155400785920 binary64)) (.f64 x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) (.f64 x.re x.re))
(*.f64 x.re x.re)
x.re
#s(literal 1 binary64)
#s(literal -1 binary64)

soundness2.4s (28.6%)

Rules

1044×	`log1p-expm1-u`
1032×	`unsub-neg`
934×	`log1p-expm1-u`
934×	`expm1-log1p-u`
577×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	171	7776
1	509	7540
2	1519	7315
3	6301	7147
0	36	528
1	603	528
0	29	302
1	439	282
2	6363	282
0	35	604
1	582	408
0	487	14312
1	1349	9336
2	5125	9012
0	18	114
1	282	98
2	4407	98
0	668	16199
1	1616	14410
2	7364	14410
0	42	591
1	149	519
2	395	483
3	1504	301
4	4596	301
5	6840	301
6	7603	301

Stop Event

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

Compiler

Compiled 1046 to 292 computations (72.1% saved)

preprocess79.0ms (0.9%)

Compiler: Compiled 1540 to 550 computations (64.3% saved)

analyze0.0ms (0%)

sample990.0ms (11.6%)

preprocess133.0ms (1.6%)

explain183.0ms (2.1%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify123.0ms (1.4%)

localize130.0ms (1.5%)

series49.0ms (0.6%)

rewrite360.0ms (4.2%)

simplify277.0ms (3.2%)

eval119.0ms (1.4%)

prune239.0ms (2.8%)

simplify14.0ms (0.2%)

localize216.0ms (2.5%)

series75.0ms (0.9%)

rewrite59.0ms (0.7%)

simplify306.0ms (3.6%)

eval48.0ms (0.6%)

prune142.0ms (1.7%)

simplify72.0ms (0.9%)

localize66.0ms (0.8%)

series7.0ms (0.1%)

rewrite201.0ms (2.4%)

simplify459.0ms (5.4%)

eval293.0ms (3.4%)

prune59.0ms (0.7%)

simplify80.0ms (0.9%)

localize95.0ms (1.1%)

series82.0ms (1%)

rewrite196.0ms (2.3%)

simplify383.0ms (4.5%)

eval98.0ms (1.2%)

prune156.0ms (1.8%)

regimes47.0ms (0.6%)

regimes24.0ms (0.3%)

regimes22.0ms (0.3%)

regimes15.0ms (0.2%)

regimes11.0ms (0.1%)

regimes5.0ms (0.1%)

regimes9.0ms (0.1%)

regimes59.0ms (0.7%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch37.0ms (0.4%)

bsearch14.0ms (0.2%)

bsearch20.0ms (0.2%)

simplify21.0ms (0.2%)

soundness2.4s (28.6%)

preprocess79.0ms (0.9%)

end0.0ms (0%)

Profiling