Metrics for math.square 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

Results

Compiler

Compiled 10 to 6 computations (40% saved)

Precisions

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

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.2s (31.4%)

Results

647.0ms	4744×	256	valid
451.0ms	3512×	256	infinite

Precisions

Click to see histograms. Total time spent on operations: 272.0ms

Operation ival-mult, time spent: 189.0ms, 70.0% of total-time

Operation ival-sub, time spent: 71.0ms, 26.0% of total-time

Operation const, time spent: 12.0ms, 4.0% of total-time

Bogosity

preprocess378.0ms (10.1%)

Algorithm

1×	egg-herbie

Rules

890×	`fma-define`
612×	`sub-neg`
575×	`fma-neg`
564×	`distribute-lft-in`
514×	`distribute-rgt-in`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
9	-	-	`(-.f64 (.f64 re re) (.f64 im im))`
0	-	-	`im`
0	-	-	`(*.f64 im im)`
0	-	-	`(*.f64 re re)`
0	-	-	`re`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	229
1	66	217
2	174	217
3	440	217
4	1065	217
5	2042	217
6	3011	217
7	3853	217
8	5641	217
9	6242	217
10	6355	217
11	6469	217
12	6549	217
13	6549	217
14	7930	217

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(-.f64 (.f64 re re) (.f64 im im))
(fma.f64 re re (*.f64 im (neg.f64 im)))
(-.f64 (.f64 re re) (.f64 im im))
(fma.f64 re re (*.f64 im (neg.f64 im)))
(-.f64 (.f64 (neg.f64 re) (neg.f64 re)) (.f64 im im))
(-.f64 (.f64 re re) (.f64 im im))
(fma.f64 re re (*.f64 im (neg.f64 im)))
(-.f64 (.f64 re re) (.f64 (neg.f64 im) (neg.f64 im)))
(-.f64 (.f64 re re) (.f64 im im))
(fma.f64 re re (*.f64 im (neg.f64 im)))
(neg.f64 (-.f64 (.f64 (neg.f64 re) (neg.f64 re)) (.f64 im im)))
(neg.f64 (-.f64 (.f64 re re) (.f64 im im)))
(-.f64 (.f64 im im) (.f64 re re))
(fma.f64 re (neg.f64 re) (*.f64 im im))
(*.f64 (-.f64 im re) (+.f64 re im))
(neg.f64 (-.f64 (.f64 re re) (.f64 (neg.f64 im) (neg.f64 im))))
(neg.f64 (-.f64 (.f64 re re) (.f64 im im)))
(-.f64 (.f64 im im) (.f64 re re))
(fma.f64 re (neg.f64 re) (*.f64 im im))
(*.f64 (-.f64 im re) (+.f64 re im))
(-.f64 (.f64 im im) (.f64 re re))
(neg.f64 (-.f64 (.f64 re re) (.f64 im im)))
(fma.f64 re (neg.f64 re) (*.f64 im im))
(*.f64 (-.f64 im re) (+.f64 re im))

Symmetry

(abs re)

(abs im)

Results

Compiler

Compiled 45 to 17 computations (62.2% saved)

Precisions

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

Operation ival-mult, time spent: 8.0ms, 71.0% of total-time

Operation ival-sub, time spent: 3.0ms, 27.0% of total-time

Operation const, time spent: 1.0ms, 9.0% of total-time

eval0.0ms (0%)

Results

Compiler

Compiled 9 to 5 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.7%	(fma.f64 re re (*.f64 im (neg.f64 im)))
▶	96.5%	(-.f64 (.f64 re re) (.f64 im im))

Results

Compiler

Compiled 18 to 10 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

localize46.0ms (1.2%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	97.7%	(fma.f64 re re (*.f64 im (neg.f64 im)))
✓	97.0%	(-.f64 (.f64 re re) (.f64 im im))

Results

Compiler

Compiled 33 to 9 computations (72.7% saved)

Precisions

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

Operation ival-mult, time spent: 7.0ms, 44.0% of total-time

Operation composed, time spent: 4.0ms, 25.0% of total-time

Operation ival-sub, time spent: 2.0ms, 13.0% of total-time

Operation ival-add, time spent: 1.0ms, 6.0% of total-time

Operation ival-neg, time spent: 1.0ms, 6.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

series5.0ms (0.1%)

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (-.f64 (.f64 re re) (.f64 im im))>
#<alt (fma.f64 re re (*.f64 im (neg.f64 im)))>

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

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	re	@	0	(- (* re re) (* im im))
0.0ms	re	@	inf	(- (* re re) (* im im))
0.0ms	im	@	0	(- (* re re) (* im im))
0.0ms	im	@	inf	(- (* re re) (* im im))
0.0ms	re	@	0	(+ (* re re) (* im (neg im)))

Results

Precisions

Click to see histograms. Total time spent on operations: 0ms

rewrite353.0ms (9.4%)

Algorithm

1×	batch-egg-rewrite

Rules

605×	`prod-diff`
531×	`log1p-expm1-u`
531×	`expm1-log1p-u`
504×	`unpow-prod-down`
302×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	50
1	190	38
2	2277	38

Stop Event

1×	node limit

Counts

2 → 351

Calls

Call 1

Inputs
(-.f64 (.f64 re re) (.f64 im im))
(fma.f64 re re (*.f64 im (neg.f64 im)))

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

Results

Precisions

Click to see histograms. Total time spent on operations: 0ms

simplify284.0ms (7.6%)

Algorithm

1×	egg-herbie

Rules

760×	`times-frac`
396×	`associate-+r+`
357×	`associate-+l+`
289×	`fma-neg`
281×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	467	21745
1	1075	19167
2	2749	15133

Stop Event

1×	node limit

Counts

399 → 299

Calls

Call 1

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

Outputs
(*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))
(neg.f64 (pow.f64 im #s(literal 2 binary64)))
(-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 re #s(literal 2 binary64))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(pow.f64 re #s(literal 2 binary64))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(pow.f64 re #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))
(-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))
(-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))
(-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))
(neg.f64 (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re (/.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re (/.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re (/.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))
(neg.f64 (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re (/.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re (/.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re (/.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))
(neg.f64 (pow.f64 im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))
(-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))
(-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))
(-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 re #s(literal 2 binary64))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(pow.f64 re #s(literal 2 binary64))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(pow.f64 re #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))
(-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))
(-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))
(-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))
(neg.f64 (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re (/.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re (/.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re (/.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))
(neg.f64 (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re (/.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re (/.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re (/.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(+.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(+.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 im im (fma.f64 im im (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 re re (fma.f64 im im (fma.f64 im im (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 re re (fma.f64 im im (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 re re (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(+.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64)) (fma.f64 im im (pow.f64 im #s(literal 2 binary64))))
(+.f64 (fma.f64 im im (pow.f64 im #s(literal 2 binary64))) (pow.f64 (+.f64 im re) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 (+.f64 im re) #s(literal 2 binary64)))
(+.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (pow.f64 (+.f64 im re) #s(literal 2 binary64)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (pow.f64 (+.f64 im re) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (pow.f64 (+.f64 im re) #s(literal 2 binary64)) (-.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 5 binary64)) (cbrt.f64 im))))
(+.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64)) (*.f64 (fma.f64 im im (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (fma.f64 im im (pow.f64 im #s(literal 2 binary64))) (pow.f64 (+.f64 im re) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 (+.f64 im re) #s(literal 2 binary64)))
(+.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64)) (+.f64 (fma.f64 im im (pow.f64 im #s(literal 2 binary64))) (fma.f64 im im (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (pow.f64 (+.f64 im re) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 im im (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 (+.f64 im re) #s(literal 2 binary64)))
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(exp.f64 (*.f64 (log.f64 (+.f64 re im)) #s(literal 2 binary64)))
(pow.f64 (+.f64 im re) #s(literal 2 binary64))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(fma.f64 re re (fma.f64 im im (fma.f64 im im (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 re re (fma.f64 im im (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 re re (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)))
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(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
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(fma.f64 re re (fma.f64 im im (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
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(+.f64 (fma.f64 im im (pow.f64 im #s(literal 2 binary64))) (pow.f64 (+.f64 im re) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 (+.f64 im re) #s(literal 2 binary64)))
(log.f64 (*.f64 (exp.f64 (fma.f64 im im (pow.f64 im #s(literal 2 binary64)))) (exp.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64)))))
(+.f64 (fma.f64 im im (pow.f64 im #s(literal 2 binary64))) (pow.f64 (+.f64 im re) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 (+.f64 im re) #s(literal 2 binary64)))
(log.f64 (*.f64 (exp.f64 (fma.f64 im im (pow.f64 im #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64))))))
(+.f64 (fma.f64 im im (pow.f64 im #s(literal 2 binary64))) (pow.f64 (+.f64 im re) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 (+.f64 im re) #s(literal 2 binary64)))
(log.f64 (/.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 2 binary64))))))
(log.f64 (/.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))) (exp.f64 (pow.f64 im #s(literal 2 binary64)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 re #s(literal 2 binary64)))) (exp.f64 (pow.f64 im #s(literal 2 binary64)))))
(log.f64 (/.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 2 binary64))))))
(log.f64 (/.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))) (exp.f64 (pow.f64 im #s(literal 2 binary64)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 re #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 2 binary64))))))
(log.f64 (/.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 2 binary64))))))
(log.f64 (/.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))) (exp.f64 (pow.f64 im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 re im) #s(literal 6 binary64)))
(cbrt.f64 (pow.f64 (+.f64 im re) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64))))
(pow.f64 (+.f64 im re) #s(literal 2 binary64))
(hypot.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(hypot.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64))))
(pow.f64 (+.f64 im re) #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 re im))))
(pow.f64 (+.f64 im re) #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (+.f64 re im))) #s(literal 1 binary64)))
(pow.f64 (+.f64 im re) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(pow.f64 (+.f64 im re) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 re im) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 (+.f64 im re) #s(literal 6 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 re im)) #s(literal 2 binary64)))
(pow.f64 (+.f64 im re) #s(literal 2 binary64))

Results

Precisions

Click to see histograms. Total time spent on operations: 0ms

eval158.0ms (4.2%)

Results

Compiler

Compiled 6078 to 3249 computations (46.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

prune81.0ms (2.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	297	2	299
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	297	4	301

Accuracy

100.0%

Counts

301 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.7%	(fma.f64 re re (*.f64 im (neg.f64 im)))
✓	96.5%	(-.f64 (.f64 re re) (.f64 im im))
▶	52.3%	(*.f64 (+.f64 re im) (+.f64 re im))
▶	53.6%	(neg.f64 (pow.f64 im #s(literal 2 binary64)))

Results

Compiler

Compiled 33 to 19 computations (42.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

localize72.0ms (1.9%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 re im) (+.f64 re im))

Results

Compiler

Compiled 24 to 11 computations (54.2% saved)

Precisions

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

Operation ival-pow, time spent: 11.0ms, 47.0% of total-time

Operation ival-neg, time spent: 5.0ms, 21.0% of total-time

Operation ival-add, time spent: 3.0ms, 13.0% of total-time

Operation ival-mult, time spent: 3.0ms, 13.0% of total-time

Operation const, time spent: 1.0ms, 4.0% of total-time

series6.0ms (0.2%)

Counts

1 → 24

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	re	@	0	(* (+ re im) (+ re im))
1.0ms	im	@	inf	(* (+ re im) (+ re im))
1.0ms	re	@	-inf	(* (+ re im) (+ re im))
1.0ms	re	@	inf	(* (+ re im) (+ re im))
1.0ms	im	@	-inf	(* (+ re im) (+ re im))

Results

Precisions

Click to see histograms. Total time spent on operations: 0ms

rewrite143.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

682×	`prod-diff`
515×	`log1p-expm1-u`
515×	`expm1-log1p-u`
418×	`unpow-prod-down`
405×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	102	19
2	1473	19

Stop Event

1×	node limit

Counts

1 → 68

Calls

Call 1

Inputs
(*.f64 (+.f64 re im) (+.f64 re im))

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

Results

Precisions

Click to see histograms. Total time spent on operations: 0ms

simplify201.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

831×	`fma-define`
553×	`distribute-lft-in`
527×	`distribute-rgt-in`
501×	`fma-neg`
449×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	228	4294970550
1	574	4294970468
2	1630	4294970360
3	6328	4294970240

Stop Event

1×	node limit

Counts

92 → 119

Calls

Call 1

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

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

Results

Precisions

Click to see histograms. Total time spent on operations: 0ms

eval54.0ms (1.4%)

Results

Compiler

Compiled 1679 to 771 computations (54.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

prune37.0ms (1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	119	4	123

Accuracy

100.0%

Counts

123 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.7%	(fma.f64 re re (*.f64 im (neg.f64 im)))
✓	96.5%	(-.f64 (.f64 re re) (.f64 im im))
✓	52.3%	(*.f64 (+.f64 re im) (+.f64 re im))
✓	53.6%	(neg.f64 (pow.f64 im #s(literal 2 binary64)))

Results

Compiler

Compiled 60 to 32 computations (46.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

regimes23.0ms (0.6%)

Counts

4 → 2

Calls

Call 1

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

Outputs
(fma.f64 re re (*.f64 im (neg.f64 im)))
(*.f64 (+.f64 re im) (+.f64 re im))

Calls

5 calls:

7.0ms	(*.f64 re re)
5.0ms	re
4.0ms	im
3.0ms	(-.f64 (.f64 re re) (.f64 im im))
2.0ms	(*.f64 im im)

Results

Accuracy	Segments	Branch
100.0%	2	`re`
97.7%	1	`im`
97.7%	1	`(-.f64 (.f64 re re) (.f64 im im))`
97.7%	1	`(*.f64 re re)`
97.7%	1	`(*.f64 im im)`

Results

Compiler

Compiled 25 to 15 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

regimes20.0ms (0.5%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

5 calls:

8.0ms	re
4.0ms	(-.f64 (.f64 re re) (.f64 im im))
4.0ms	(*.f64 re re)
2.0ms	im
2.0ms	(*.f64 im im)

Results

Accuracy	Segments	Branch
96.5%	1	`im`
98.8%	2	`(-.f64 (.f64 re re) (.f64 im im))`
98.8%	2	`(*.f64 re re)`
96.5%	1	`(*.f64 im im)`
98.8%	2	`re`

Results

Compiler

Compiled 25 to 15 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 (+.f64 re im) (+.f64 re im))

Outputs
(*.f64 (+.f64 re im) (+.f64 re im))

Calls

2 calls:

2.0ms	im
1.0ms	re

Results

Accuracy	Segments	Branch
52.3%	1	`im`
52.3%	1	`re`

Results

Compiler

Compiled 6 to 4 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

bsearch27.0ms (0.7%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
26.0ms	1.247080040646088e+236	2.087127085200464e+248

Results

24.0ms

128×

256

infinite

Compiler

Compiled 174 to 97 computations (44.3% saved)

Precisions

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

Operation ival-mult, time spent: 3.0ms, 61.0% of total-time

Operation ival-sub, time spent: 1.0ms, 20.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch28.0ms (0.7%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	1.1393261545369407e+148	6.846943315290941e+148

Results

19.0ms	61×	256	valid
6.0ms	35×	256	infinite

Compiler

Compiled 134 to 75 computations (44% saved)

Precisions

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

Operation ival-sub, time spent: 10.0ms, 79.0% of total-time

Operation ival-mult, time spent: 3.0ms, 24.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative`
3×	`sub-neg`
3×	`*-commutative`
2×	`neg-sub0`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	179
1	36	179
2	41	179
3	44	179
4	45	179

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

(if (<=.f64 re #s(literal 1199999999999999928246553577197138989166842923207274675937848989569545797871767189942096657624388593601138394046461596672456509498934602714862056394919682979129352200306693712935757690881166200261916174373728437324995176684385639023509504 binary64)) (fma.f64 re re (*.f64 im (neg.f64 im))) (*.f64 (+.f64 re im) (+.f64 re im)))

(if (<=.f64 re #s(literal 68000000000000005601788420534006932377548335890104754289792133620000380304007035858461519343183309932278721878853841197202513458050861837058584870912 binary64)) (-.f64 (*.f64 re re) (*.f64 im im)) (*.f64 (+.f64 re im) (+.f64 re im)))

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

Outputs

(if (<=.f64 re #s(literal 1199999999999999928246553577197138989166842923207274675937848989569545797871767189942096657624388593601138394046461596672456509498934602714862056394919682979129352200306693712935757690881166200261916174373728437324995176684385639023509504 binary64)) (fma.f64 re re (*.f64 im (neg.f64 im))) (*.f64 (+.f64 re im) (+.f64 re im)))

(if (<=.f64 re #s(literal 68000000000000005601788420534006932377548335890104754289792133620000380304007035858461519343183309932278721878853841197202513458050861837058584870912 binary64)) (-.f64 (*.f64 re re) (*.f64 im im)) (*.f64 (+.f64 re im) (+.f64 re im)))

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

Results

Compiler

Compiled 49 to 24 computations (51% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

soundness600.0ms (16%)

Rules

890×	`fma-define`
612×	`sub-neg`
605×	`prod-diff`
575×	`fma-neg`
564×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	50
1	190	38
2	2277	38
0	20	229
1	66	217
2	174	217
3	440	217
4	1065	217
5	2042	217
6	3011	217
7	3853	217
8	5641	217
9	6242	217
10	6355	217
11	6469	217
12	6549	217
13	6549	217
14	7930	217

Stop Event

1×	node limit
1×	node limit

Results

Compiler

Compiled 110 to 38 computations (65.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

end0.0ms (0%)

preprocess42.0ms (1.1%)

Remove: (abs im)
Compiler: Compiled 348 to 162 computations (53.4% saved)

analyze0.0ms (0%)

sample1.2s (31.4%)

preprocess378.0ms (10.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize46.0ms (1.2%)

series5.0ms (0.1%)

rewrite353.0ms (9.4%)

simplify284.0ms (7.6%)

eval158.0ms (4.2%)

prune81.0ms (2.2%)

localize72.0ms (1.9%)

series6.0ms (0.2%)

rewrite143.0ms (3.8%)

simplify201.0ms (5.4%)

eval54.0ms (1.4%)

prune37.0ms (1%)

regimes23.0ms (0.6%)

regimes20.0ms (0.5%)

regimes3.0ms (0.1%)

bsearch27.0ms (0.7%)

bsearch28.0ms (0.7%)

simplify10.0ms (0.3%)

soundness600.0ms (16%)

end0.0ms (0%)

preprocess42.0ms (1.1%)

Profiling