Metrics for math.square on complex, real part

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 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

sample824.0ms (18.2%)

Results

438.0ms	4624×	256	valid
343.0ms	3631×	256	infinite
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 203.0ms

Operation ival-mult, time spent: 130.0ms, 64.0% of total-time

Operation ival-sub, time spent: 64.0ms, 32.0% of total-time

Operation const, time spent: 9.0ms, 4.0% of total-time

Bogosity

preprocess315.0ms (7%)

Algorithm

1×	egg-herbie

Rules

1780×	`fma-define`
1224×	`sub-neg`
1150×	`fma-neg`
1128×	`distribute-lft-in`
1028×	`distribute-rgt-in`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
14	-	-	`(-.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)

Compiler

Compiled 45 to 17 computations (62.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

Operation ival-mult, time spent: 13.0ms, 77.0% of total-time

Operation ival-sub, time spent: 3.0ms, 18.0% of total-time

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

eval0.0ms (0%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.9%	(fma.f64 re re (*.f64 im (neg.f64 im)))
▶	94.5%	(-.f64 (.f64 re re) (.f64 im im))

Compiler

Compiled 18 to 10 computations (44.4% saved)

localize46.0ms (1%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	96.9%	(fma.f64 re re (*.f64 im (neg.f64 im)))
✓	95.2%	(-.f64 (.f64 re re) (.f64 im im))

Compiler

Compiled 33 to 9 computations (72.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

Operation ival-mult, time spent: 7.0ms, 41.0% of total-time

Operation composed, time spent: 4.0ms, 24.0% of total-time

Operation ival-sub, time spent: 3.0ms, 18.0% of total-time

Operation ival-add, time spent: 2.0ms, 12.0% 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
0.0ms	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)))

rewrite322.0ms (7.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1210×	`prod-diff`
1008×	`unpow-prod-down`
604×	`fma-define`
531×	`log1p-expm1-u`
531×	`expm1-log1p-u`

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)))

simplify219.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

1520×	`times-frac`
792×	`associate-+r+`
714×	`associate-+l+`
578×	`fma-neg`
562×	`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))

eval118.0ms (2.6%)

Compiler: Compiled 6078 to 3249 computations (46.5% saved)

prune42.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	296	3	299
Fresh	0	0	0
Picked	1	1	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
✓	94.5%	(-.f64 (.f64 re re) (.f64 im im))
▶	70.4%	(*.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)))))
▶	57.2%	(*.f64 (+.f64 re im) (+.f64 re im))
▶	48.0%	(neg.f64 (pow.f64 im #s(literal 2 binary64)))

Compiler

Compiled 39 to 26 computations (33.3% saved)

localize99.0ms (2.2%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	81.1%	(*.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)))))
✓	79.1%	(/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
✓	100.0%	(*.f64 (+.f64 re im) (+.f64 re im))

New

Accuracy

Program

✓

81.1%

(*.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)))))

✓

79.1%

(/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))

✓

100.0%

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

Compiler

Compiled 63 to 39 computations (38.1% saved)

Precisions

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

Operation ival-pow, time spent: 20.0ms, 50.0% of total-time

Operation ival-div, time spent: 6.0ms, 15.0% of total-time

Operation ival-mult, time spent: 4.0ms, 10.0% of total-time

Operation ival-sub, time spent: 3.0ms, 8.0% of total-time

Operation ival-add, time spent: 2.0ms, 5.0% of total-time

Operation const, time spent: 2.0ms, 5.0% of total-time

Operation ival-neg, time spent: 2.0ms, 5.0% of total-time

series9.0ms (0.2%)

Counts

3 → 48

Calls

Call 1

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

Inputs

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

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

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))))>
#<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

18 calls:

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

rewrite124.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1105×	`log1p-expm1-u`
1105×	`expm1-log1p-u`
870×	`fma-define`
406×	`fma-neg`
354×	`log1p-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	90
1	228	78
2	3212	78

Stop Event

1×	node limit

Counts

3 → 134

Calls

Call 1

Inputs

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

(/.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)))))

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

simplify164.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1128×	`times-frac`
692×	`associate-*r/`
586×	`associate-/l*`
564×	`associate-*l/`
488×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	357	6927
1	887	6305
2	2824	6229
3	7915	6229

Stop Event

1×	node limit

Counts

182 → 208

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 #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)))
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(fma.f64 (sqrt.f64 re) (.f64 (sqrt.f64 re) re) (.f64 (neg.f64 (pow.f64 (/.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64))))
(fma.f64 (.f64 re (sqrt.f64 re)) (sqrt.f64 re) (.f64 (pow.f64 re #s(literal 2 binary64)) (neg.f64 (pow.f64 (/.f64 im re) #s(literal 2 binary64)))))
(fma.f64 (.f64 re (sqrt.f64 re)) (sqrt.f64 re) (.f64 (neg.f64 (pow.f64 (/.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64))))
(fma.f64 (.f64 re (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (.f64 (pow.f64 re #s(literal 2 binary64)) (neg.f64 (pow.f64 (/.f64 im re) #s(literal 2 binary64)))))
(fma.f64 (.f64 re (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (.f64 (neg.f64 (pow.f64 (/.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64))))

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

eval58.0ms (1.3%)

Compiler: Compiled 3293 to 1818 computations (44.8% saved)

prune34.0ms (0.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	207	1	208
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	208	4	212

Accuracy

100.0%

Counts

212 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.5%	(-.f64 (.f64 re re) (.f64 im im))
▶	73.5%	(.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 im (/.f64 im (pow.f64 re #s(literal 2 binary64))))))
✓	57.2%	(*.f64 (+.f64 re im) (+.f64 re im))
✓	48.0%	(neg.f64 (pow.f64 im #s(literal 2 binary64)))

Compiler

Compiled 39 to 25 computations (35.9% saved)

localize70.0ms (1.6%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	95.1%	(*.f64 im (/.f64 im (pow.f64 re #s(literal 2 binary64))))
✓	89.2%	(/.f64 im (pow.f64 re #s(literal 2 binary64)))
✓	81.1%	(.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 im (/.f64 im (pow.f64 re #s(literal 2 binary64))))))

New

Accuracy

Program

✓

95.1%

(*.f64 im (/.f64 im (pow.f64 re #s(literal 2 binary64))))

✓

89.2%

(/.f64 im (pow.f64 re #s(literal 2 binary64)))

✓

81.1%

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

Compiler

Compiled 44 to 29 computations (34.1% saved)

Precisions

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

Operation ival-pow, time spent: 10.0ms, 33.0% of total-time

Operation ival-div, time spent: 9.0ms, 30.0% of total-time

Operation ival-mult, time spent: 8.0ms, 26.0% of total-time

Operation ival-sub, time spent: 3.0ms, 10.0% of total-time

Operation const, time spent: 2.0ms, 7.0% of total-time

series6.0ms (0.1%)

Counts

3 → 48

Calls

Call 1

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

Inputs

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

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

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

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

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	im	@	-inf	(/ im (pow re 2))
0.0ms	im	@	inf	(/ im (pow re 2))
0.0ms	re	@	0	(/ im (pow re 2))
0.0ms	im	@	0	(/ im (pow re 2))
0.0ms	re	@	inf	(/ im (pow re 2))

rewrite106.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

986×	`prod-diff`
886×	`log-prod`
794×	`log1p-expm1-u`
794×	`expm1-log1p-u`
316×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	96
1	175	78
2	2253	78

Stop Event

1×	node limit

Counts

3 → 122

Calls

Call 1

Inputs

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

(/.f64 im (pow.f64 re #s(literal 2 binary64)))

(*.f64 im (/.f64 im (pow.f64 re #s(literal 2 binary64))))

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

simplify135.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1256×	`fma-neg`
948×	`fma-define`
760×	`times-frac`
750×	`exp-prod`
602×	`prod-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	289	6152
1	579	5340
2	1536	5316
3	6001	5316

Stop Event

1×	node limit

Counts

170 → 155

Calls

Call 1

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

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

eval56.0ms (1.2%)

Compiler: Compiled 2593 to 1779 computations (31.4% saved)

prune24.0ms (0.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	154	1	155
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	155	4	159

Accuracy

100.0%

Counts

159 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.5%	(-.f64 (.f64 re re) (.f64 im im))
▶	79.8%	(.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 im (*.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 im re)))))
✓	57.2%	(*.f64 (+.f64 re im) (+.f64 re im))
✓	48.0%	(neg.f64 (pow.f64 im #s(literal 2 binary64)))

Compiler

Compiled 41 to 26 computations (36.6% saved)

localize90.0ms (2%)

Localize:

Found 3 expressions with local error:

New

Accuracy

Program

✓

99.7%

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

✓

95.1%

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

✓

81.1%

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

Compiler

Compiled 58 to 32 computations (44.8% saved)

Precisions

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

Operation ival-div, time spent: 19.0ms, 42.0% of total-time

Operation ival-mult, time spent: 18.0ms, 40.0% of total-time

Operation ival-pow, time spent: 4.0ms, 9.0% of total-time

Operation ival-sub, time spent: 3.0ms, 7.0% of total-time

Operation const, time spent: 2.0ms, 4.0% of total-time

series10.0ms (0.2%)

Counts

3 → 72

Calls

Call 1

Inputs

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

#<alt (*.f64 im (*.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 im re)))>

#<alt (*.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 im re))>

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

Calls

18 calls:

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

rewrite128.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1116×	`prod-diff`
986×	`log1p-expm1-u`
986×	`expm1-log1p-u`
368×	`fma-define`
330×	`log1p-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	96
1	224	78
2	2922	78

Stop Event

1×	node limit

Counts

3 → 112

Calls

Call 1

Inputs

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

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

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

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

simplify123.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1344×	`fma-neg`
1012×	`associate-/r*`
964×	`associate-*l/`
742×	`cube-prod`
690×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	251	5776
1	541	5078
2	1615	4992
3	6660	4992

Stop Event

1×	node limit

Counts

184 → 141

Calls

Call 1

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

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

eval51.0ms (1.1%)

Compiler: Compiled 2208 to 1419 computations (35.7% saved)

prune22.0ms (0.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	140	1	141
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	141	4	145

Accuracy

100.0%

Counts

145 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.5%	(-.f64 (.f64 re re) (.f64 im im))
	81.0%	(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 im re) (/.f64 re im))))
✓	57.2%	(*.f64 (+.f64 re im) (+.f64 re im))
✓	48.0%	(neg.f64 (pow.f64 im #s(literal 2 binary64)))

Compiler

Compiled 120 to 73 computations (39.2% saved)

regimes32.0ms (0.7%)

Counts

8 → 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)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 im re) (/.f64 re im))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 im (*.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 im re)))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 im (/.f64 im (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)))))

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

Calls

5 calls:

11.0ms	re
7.0ms	(-.f64 (.f64 re re) (.f64 im im))
5.0ms	(*.f64 re re)
5.0ms	im
4.0ms	(*.f64 im im)

Results

Accuracy	Segments	Branch
100.0%	2	`re`
96.9%	1	`im`
100.0%	2	`(-.f64 (.f64 re re) (.f64 im im))`
100.0%	2	`(*.f64 re re)`
96.9%	1	`(*.f64 im im)`

Compiler

Compiled 25 to 15 computations (40% saved)

regimes10.0ms (0.2%)

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

3 calls:

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

Results

Accuracy	Segments	Branch
99.2%	2	`re`
96.9%	1	`(*.f64 re re)`
96.9%	1	`(-.f64 (.f64 re re) (.f64 im im))`

Compiler

Compiled 17 to 10 computations (41.2% saved)

regimes19.0ms (0.4%)

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:

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

Results

Accuracy	Segments	Branch
96.9%	2	`im`
97.7%	2	`(-.f64 (.f64 re re) (.f64 im im))`
97.7%	2	`(*.f64 re re)`
96.9%	2	`(*.f64 im im)`
97.7%	2	`re`

Compiler

Compiled 25 to 15 computations (40% saved)

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:

1.0ms	im
1.0ms	re

Results

Accuracy	Segments	Branch
57.2%	1	`im`
57.2%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.063756309987932e-261	0.0

Compiler

Compiled 14 to 9 computations (35.7% saved)

bsearch2.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	3.9856930821194237e+235	1.5426476435519735e+236

Results

1.0ms	15×	256	infinite
0.0ms	1×	256	infinite

Compiler

Compiled 34 to 20 computations (41.2% 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

bsearch15.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.4791122837195995e+152	8.03675869369944e+155

Results

8.0ms	79×	256	infinite
5.0ms	48×	256	valid
0.0ms	1×	256	infinite

Compiler

Compiled 174 to 97 computations (44.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

Operation ival-mult, time spent: 2.0ms, 70.0% of total-time

Operation ival-sub, time spent: 1.0ms, 35.0% of total-time

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

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative`
16×	`sub-neg`
16×	`*-commutative`
12×	`neg-sub0`
12×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	301
1	54	301
2	66	301
3	80	301
4	88	301
5	92	301
6	93	301

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (.f64 re re) (.f64 im im)) #s(literal -5539569662801113/1107913932560222642718302084617242634394213707491304322373697056856707228094640652496493097019312046907692196808899173923175472949106175979816042319761510659592576951121881510274623639758153063707231876091920910184135845830200523203728421733043088080742988814006853038686339072 binary64)) (-.f64 (.f64 re re) (.f64 im im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 im re) (/.f64 re im)))))
(if (<=.f64 re #s(literal 50000000000000002658300983132982451780169472876225504866784864935219457611460827972975021456746524545128608409062560469814752225690268269365846081545102019383495851986671117567248753418814166156177318917645740336056184652851795690782720 binary64)) (fma.f64 re re (.f64 im (neg.f64 im))) (.f64 (+.f64 re im) (+.f64 re im)))
(if (<=.f64 re #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 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 (-.f64 (.f64 re re) (.f64 im im)) #s(literal -5539569662801113/1107913932560222642718302084617242634394213707491304322373697056856707228094640652496493097019312046907692196808899173923175472949106175979816042319761510659592576951121881510274623639758153063707231876091920910184135845830200523203728421733043088080742988814006853038686339072 binary64)) (-.f64 (.f64 re re) (.f64 im im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 im re) (/.f64 re im)))))
(if (<=.f64 re #s(literal 50000000000000002658300983132982451780169472876225504866784864935219457611460827972975021456746524545128608409062560469814752225690268269365846081545102019383495851986671117567248753418814166156177318917645740336056184652851795690782720 binary64)) (fma.f64 re re (.f64 im (neg.f64 im))) (.f64 (+.f64 re im) (+.f64 re im)))
(if (<=.f64 re #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (-.f64 (.f64 re re) (.f64 im im)) (*.f64 (+.f64 re im) (+.f64 re im)))
(*.f64 (+.f64 re im) (+.f64 re im))

Compiler

Compiled 81 to 40 computations (50.6% saved)

soundness1.2s (26.1%)

Rules

1780×	`fma-define`
1520×	`times-frac`
1224×	`sub-neg`
1210×	`prod-diff`
1150×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	96
1	175	78
2	2253	78
0	16	90
1	228	78
2	3212	78
0	15	50
1	190	38
2	2277	38
0	16	96
1	224	78
2	2922	78
0	467	21745
1	1075	19167
2	2749	15133
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
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 328 to 187 computations (43% saved)

end0.0ms (0%)

preprocess58.0ms (1.3%)

Remove

(abs im)

(abs re)

Compiler

Compiled 424 to 192 computations (54.7% saved)

analyze1.0ms (0%)

sample824.0ms (18.2%)

preprocess315.0ms (7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize46.0ms (1%)

series5.0ms (0.1%)

rewrite322.0ms (7.1%)

simplify219.0ms (4.8%)

eval118.0ms (2.6%)

prune42.0ms (0.9%)

localize99.0ms (2.2%)

series9.0ms (0.2%)

rewrite124.0ms (2.7%)

simplify164.0ms (3.6%)

eval58.0ms (1.3%)

prune34.0ms (0.8%)

localize70.0ms (1.6%)

series6.0ms (0.1%)

rewrite106.0ms (2.3%)

simplify135.0ms (3%)

eval56.0ms (1.2%)

prune24.0ms (0.5%)

localize90.0ms (2%)

series10.0ms (0.2%)

rewrite128.0ms (2.8%)

simplify123.0ms (2.7%)

eval51.0ms (1.1%)

prune22.0ms (0.5%)

regimes32.0ms (0.7%)

regimes10.0ms (0.2%)

regimes19.0ms (0.4%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch2.0ms (0%)

bsearch15.0ms (0.3%)

simplify10.0ms (0.2%)

soundness1.2s (26.1%)

end0.0ms (0%)

preprocess58.0ms (1.3%)

Profiling