Metrics for math.abs on complex (squared)

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 6 computations (40% saved)

Precisions

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

Operation ival-add, 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

sample808.0ms (37.5%)

Results

426.0ms	4572×	256	valid
337.0ms	3683×	256	infinite
0.0ms	1×	256	infinite

Precisions

Click to see histograms. Total time spent on operations: 204.0ms

Operation ival-mult, time spent: 143.0ms, 70.0% of total-time

Operation ival-add, time spent: 53.0ms, 26.0% of total-time

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

Bogosity

preprocess178.0ms (8.3%)

Algorithm

1×	egg-herbie

Rules

136×	`fma-neg`
62×	`fma-define`
38×	`distribute-lft-neg-in`
26×	`unsub-neg`
26×	`neg-sub0`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`im`
-	-	`(*.f64 im im)`
-	-	`(*.f64 re re)`
-	-	`re`
-	-	`(+.f64 (.f64 re re) (.f64 im im))`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	197
1	47	197
2	100	197
3	226	197
4	312	197
5	339	197

Stop Event

1×

saturated

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

Symmetry

(abs re)

(abs im)

(sort re im)

Compiler

Compiled 45 to 17 computations (62.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

Operation ival-mult, time spent: 23.0ms, 86.0% of total-time

Operation ival-add, time spent: 3.0ms, 11.0% of total-time

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

eval0.0ms (0%)

Compiler: Compiled 8 to 4 computations (50% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (.f64 re re) (.f64 im im))

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize44.0ms (2%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

Operation ival-mult, time spent: 4.0ms, 69.0% of total-time

Operation ival-add, time spent: 2.0ms, 34.0% of total-time

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

series18.0ms (0.8%)

Counts

1 → 24

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	re	@	-inf	(+ (* re re) (* im im))
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))

rewrite223.0ms (10.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1146×	`prod-diff`
850×	`unpow-prod-down`
534×	`prod-exp`
502×	`log1p-expm1-u`
502×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	117	19
2	1476	19

Stop Event

1×	node limit

Counts

1 → 58

Calls

Call 1

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

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

simplify123.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

1484×	`fma-neg`
1290×	`div-sub`
976×	`fma-define`
740×	`distribute-lft-neg-in`
592×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	157	2797
1	314	2546
2	678	2450
3	2177	2450
4	5357	2450

Stop Event

1×	node limit

Counts

82 → 78

Calls

Call 1

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

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

eval32.0ms (1.5%)

Compiler: Compiled 935 to 597 computations (36.1% saved)

prune10.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	77	2	79

Accuracy

100.0%

Counts

79 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
✓	100.0%	(+.f64 (.f64 re re) (.f64 im im))

Compiler

Compiled 17 to 10 computations (41.2% saved)

localize43.0ms (2%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(pow.f64 re #s(literal 2 binary64))

Compiler

Compiled 15 to 9 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

Operation composed, time spent: 4.0ms, 33.0% of total-time

Operation ival-pow, time spent: 4.0ms, 33.0% of total-time

Operation ival-add, time spent: 2.0ms, 16.0% of total-time

Operation ival-mult, time spent: 2.0ms, 16.0% of total-time

Operation const, time spent: 1.0ms, 8.0% of total-time

series1.0ms (0%)

Counts

1 → 0

Calls

Call 1

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

Outputs

Calls

3 calls:

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

rewrite126.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1350×	`fma-define`
793×	`log1p-expm1-u`
793×	`expm1-log1p-u`
680×	`fma-neg`
448×	`log1p-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	48	10
2	460	10
3	4337	10

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

Inputs
(pow.f64 re #s(literal 2 binary64))

Outputs
(+.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 re #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))))
(-.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 re re)
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 re) #s(literal 5 binary64)))
(.f64 (cbrt.f64 re) (.f64 (pow.f64 re #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 re) (pow.f64 re #s(literal 3/2 binary64)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 re) #s(literal 4 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 re #s(literal 8 binary64)))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))))
(*.f64 (pow.f64 re #s(literal 3/2 binary64)) (sqrt.f64 re))
(.f64 (pow.f64 re #s(literal 1/4 binary64)) (.f64 (pow.f64 re #s(literal 1/4 binary64)) (pow.f64 re #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal 5 binary64)) (cbrt.f64 re))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 re #s(literal 8 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 re #s(literal 8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal 5 binary64))) (cbrt.f64 re))
(.f64 (.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 re #s(literal 8 binary64))))) (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64))))
(.f64 (.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 re #s(literal 3/2 binary64)) (cbrt.f64 re)) (pow.f64 re #s(literal 1/6 binary64)))
(.f64 (.f64 (pow.f64 re #s(literal 3/2 binary64)) (pow.f64 re #s(literal 1/4 binary64))) (pow.f64 re #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 (cbrt.f64 re) #s(literal 5 binary64)) (pow.f64 re #s(literal 1/6 binary64))) (pow.f64 re #s(literal 1/6 binary64)))
(.f64 (.f64 (pow.f64 (cbrt.f64 re) #s(literal 5 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 re)))
(/.f64 (-.f64 (pow.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re re #s(literal 1 binary64)) (fma.f64 re re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 re re #s(literal 1 binary64)))))
(/.f64 (fma.f64 (fma.f64 re re #s(literal 1 binary64)) (fma.f64 re re #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 re #s(literal 4 binary64)))
(fabs.f64 (pow.f64 re #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 re #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 re #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 re #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 re #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 re))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 re #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 re re #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 re re #s(literal 1 binary64))) (cbrt.f64 (fma.f64 re re #s(literal 1 binary64)))) (cbrt.f64 (fma.f64 re re #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) re) (hypot.f64 #s(literal 1 binary64) re) #s(literal -1 binary64))

simplify68.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1324×	`fma-define`
1204×	`associate-+r-`
1030×	`distribute-lft-out`
882×	`fma-neg`
764×	`associate-r`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	124	1318
1	216	1038
2	348	1027
3	840	1004
4	4608	1003

Stop Event

1×	node limit

Counts

44 → 62

Calls

Call 1

Inputs
(+.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 re #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))))
(-.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 re re)
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 re) #s(literal 5 binary64)))
(.f64 (cbrt.f64 re) (.f64 (pow.f64 re #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 re) (pow.f64 re #s(literal 3/2 binary64)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 re) #s(literal 4 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 re #s(literal 8 binary64)))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))))
(*.f64 (pow.f64 re #s(literal 3/2 binary64)) (sqrt.f64 re))
(.f64 (pow.f64 re #s(literal 1/4 binary64)) (.f64 (pow.f64 re #s(literal 1/4 binary64)) (pow.f64 re #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal 5 binary64)) (cbrt.f64 re))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 re #s(literal 8 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 re #s(literal 8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal 5 binary64))) (cbrt.f64 re))
(.f64 (.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 re #s(literal 8 binary64))))) (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64))))
(.f64 (.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 re #s(literal 3/2 binary64)) (cbrt.f64 re)) (pow.f64 re #s(literal 1/6 binary64)))
(.f64 (.f64 (pow.f64 re #s(literal 3/2 binary64)) (pow.f64 re #s(literal 1/4 binary64))) (pow.f64 re #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 (cbrt.f64 re) #s(literal 5 binary64)) (pow.f64 re #s(literal 1/6 binary64))) (pow.f64 re #s(literal 1/6 binary64)))
(.f64 (.f64 (pow.f64 (cbrt.f64 re) #s(literal 5 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 re)))
(/.f64 (-.f64 (pow.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re re #s(literal 1 binary64)) (fma.f64 re re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 re re #s(literal 1 binary64)))))
(/.f64 (fma.f64 (fma.f64 re re #s(literal 1 binary64)) (fma.f64 re re #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 re #s(literal 4 binary64)))
(fabs.f64 (pow.f64 re #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 re #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 re #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 re #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 re #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 re))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 re #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 re re #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 re re #s(literal 1 binary64))) (cbrt.f64 (fma.f64 re re #s(literal 1 binary64)))) (cbrt.f64 (fma.f64 re re #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) re) (hypot.f64 #s(literal 1 binary64) re) #s(literal -1 binary64))

Outputs
(+.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 re #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 re #s(literal 2 binary64)))
(+.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 re #s(literal 2 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))))
(-.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 re #s(literal 2 binary64))
(*.f64 re re)
(+.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 re #s(literal 2 binary64))
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 re #s(literal 2 binary64))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 (E.f64)))
(+.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 re #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))
(+.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 re #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)))
(+.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 re #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))
(+.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 re #s(literal 2 binary64))
(*.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 re) #s(literal 5 binary64)))
(+.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 re #s(literal 2 binary64))
(.f64 (cbrt.f64 re) (.f64 (pow.f64 re #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3/2 binary64))))
(.f64 (.f64 (cbrt.f64 re) (pow.f64 re #s(literal 1/6 binary64))) (pow.f64 re #s(literal 3/2 binary64)))
(.f64 (pow.f64 re #s(literal 1/6 binary64)) (.f64 (cbrt.f64 re) (pow.f64 re #s(literal 3/2 binary64))))
(*.f64 (pow.f64 re #s(literal 3/2 binary64)) (pow.f64 (pow.f64 re #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 re) (pow.f64 re #s(literal 3/2 binary64)))
(*.f64 (pow.f64 re #s(literal 3/2 binary64)) (sqrt.f64 re))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 re) #s(literal 4 binary64))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 re #s(literal 8 binary64)))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 re #s(literal 8 binary64)))) (.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)))))
(.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64))) (cbrt.f64 (cbrt.f64 (pow.f64 re #s(literal 8 binary64))))))
(*.f64 (pow.f64 re #s(literal 3/2 binary64)) (sqrt.f64 re))
(.f64 (pow.f64 re #s(literal 1/4 binary64)) (.f64 (pow.f64 re #s(literal 1/4 binary64)) (pow.f64 re #s(literal 3/2 binary64))))
(*.f64 (pow.f64 re #s(literal 3/2 binary64)) (sqrt.f64 re))
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal 5 binary64)) (cbrt.f64 re))
(+.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 re #s(literal 2 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 re #s(literal 2 binary64)))
(+.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 re #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 re #s(literal 8 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 re #s(literal 8 binary64))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 re #s(literal 8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 re #s(literal 8 binary64))) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal 5 binary64))) (cbrt.f64 re))
(*.f64 (cbrt.f64 re) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal 5 binary64))))
(.f64 (.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 re #s(literal 8 binary64))))) (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 re #s(literal 8 binary64)))) (.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)))))
(.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64))) (cbrt.f64 (cbrt.f64 (pow.f64 re #s(literal 8 binary64))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))))
(.f64 (.f64 (pow.f64 re #s(literal 3/2 binary64)) (cbrt.f64 re)) (pow.f64 re #s(literal 1/6 binary64)))
(.f64 (.f64 (cbrt.f64 re) (pow.f64 re #s(literal 1/6 binary64))) (pow.f64 re #s(literal 3/2 binary64)))
(.f64 (pow.f64 re #s(literal 1/6 binary64)) (.f64 (cbrt.f64 re) (pow.f64 re #s(literal 3/2 binary64))))
(.f64 (cbrt.f64 re) (.f64 (pow.f64 re #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3/2 binary64))))
(*.f64 (pow.f64 re #s(literal 3/2 binary64)) (pow.f64 (pow.f64 re #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(.f64 (.f64 (pow.f64 re #s(literal 3/2 binary64)) (pow.f64 re #s(literal 1/4 binary64))) (pow.f64 re #s(literal 1/4 binary64)))
(*.f64 (pow.f64 re #s(literal 3/2 binary64)) (sqrt.f64 re))
(.f64 (.f64 (pow.f64 (cbrt.f64 re) #s(literal 5 binary64)) (pow.f64 re #s(literal 1/6 binary64))) (pow.f64 re #s(literal 1/6 binary64)))
(+.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 re #s(literal 2 binary64))
(.f64 (.f64 (pow.f64 (cbrt.f64 re) #s(literal 5 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 re)))
(.f64 (pow.f64 (cbrt.f64 re) #s(literal 5 binary64)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 re))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (.f64 (pow.f64 (cbrt.f64 re) #s(literal 5 binary64)) (cbrt.f64 (cbrt.f64 re))))
(/.f64 (-.f64 (pow.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re re #s(literal 1 binary64)) (fma.f64 re re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 re re #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 re re #s(literal 1 binary64)) (fma.f64 re re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 re re #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 re re #s(literal 1 binary64)) (fma.f64 re re #s(literal 1 binary64)) (+.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re re #s(literal 1 binary64)) (fma.f64 re re #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) re) #s(literal 6 binary64))) (fma.f64 (fma.f64 re re #s(literal 1 binary64)) (fma.f64 re re #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) re) #s(literal 6 binary64))) (+.f64 (fma.f64 re re #s(literal 2 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) re) #s(literal 4 binary64))))
(/.f64 (fma.f64 (fma.f64 re re #s(literal 1 binary64)) (fma.f64 re re #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 re #s(literal 2 binary64))
(sqrt.f64 (pow.f64 re #s(literal 4 binary64)))
(+.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 re #s(literal 2 binary64))
(fabs.f64 (pow.f64 re #s(literal 2 binary64)))
(+.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 re #s(literal 2 binary64))
(log.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))
(+.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 re #s(literal 2 binary64))
(cbrt.f64 (pow.f64 re #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 re #s(literal 2 binary64))))
(+.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 re #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 re #s(literal 2 binary64))))
(+.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 re #s(literal 2 binary64))
(exp.f64 (log.f64 (pow.f64 re #s(literal 2 binary64))))
(+.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 re #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 re))) #s(literal 3 binary64)))
(+.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 re #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 re #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 re #s(literal 6 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 re re #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 re #s(literal 2 binary64))
(fma.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(+.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 re #s(literal 2 binary64))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 re re #s(literal 1 binary64))) (cbrt.f64 (fma.f64 re re #s(literal 1 binary64)))) (cbrt.f64 (fma.f64 re re #s(literal 1 binary64))) #s(literal -1 binary64))
(+.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 re #s(literal 2 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) re) (hypot.f64 #s(literal 1 binary64) re) #s(literal -1 binary64))
(+.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 re #s(literal 2 binary64))

eval31.0ms (1.5%)

Compiler: Compiled 858 to 522 computations (39.2% saved)

prune8.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	62	2	64

Accuracy

100.0%

Counts

64 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 im im (*.f64 re re))
✓	100.0%	(+.f64 (.f64 re re) (.f64 im im))

Compiler

Compiled 17 to 9 computations (47.1% saved)

localize36.0ms (1.7%)

Compiler: Compiled 14 to 5 computations (64.3% saved)
Precisions: Click to see histograms. Total time spent on operations: 11.0ms
Operation ival-mult, time spent: 5.0ms, 46.0% of total-time
Operation composed, time spent: 4.0ms, 37.0% of total-time
Operation ival-add, time spent: 2.0ms, 18.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	1	1
Total	2	2

Accuracy

100.0%

Counts

2 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 38 to 18 computations (52.6% saved)

regimes16.0ms (0.7%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	im
3.0ms	re
3.0ms	(+.f64 (.f64 re re) (.f64 im im))
3.0ms	(*.f64 im im)
2.0ms	(*.f64 re re)

Results

Accuracy	Segments	Branch
100.0%	1	`re`
100.0%	1	`im`
100.0%	1	`(+.f64 (.f64 re re) (.f64 im im))`
100.0%	1	`(*.f64 re re)`
100.0%	1	`(*.f64 im im)`

Compiler

Compiled 25 to 15 computations (40% saved)

regimes14.0ms (0.6%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	(+.f64 (.f64 re re) (.f64 im im))
3.0ms	im
3.0ms	re
2.0ms	(*.f64 im im)
2.0ms	(*.f64 re re)

Results

Accuracy	Segments	Branch
100.0%	1	`re`
100.0%	1	`im`
100.0%	1	`(+.f64 (.f64 re re) (.f64 im im))`
100.0%	1	`(*.f64 re re)`
100.0%	1	`(*.f64 im im)`

Compiler

Compiled 25 to 15 computations (40% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	58
1	13	58

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 17 to 9 computations (47.1% saved)

soundness335.0ms (15.5%)

Rules

1484×	`fma-neg`
1350×	`fma-define`
1290×	`div-sub`
976×	`fma-define`
793×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	48	10
2	460	10
3	4337	10
0	157	2797
1	314	2546
2	678	2450
3	2177	2450
4	5357	2450

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 36 to 21 computations (41.7% saved)

end0.0ms (0%)

preprocess35.0ms (1.6%)

Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 192 to 94 computations (51% saved)

analyze0.0ms (0%)

sample808.0ms (37.5%)

preprocess178.0ms (8.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize44.0ms (2%)

series18.0ms (0.8%)

rewrite223.0ms (10.4%)

simplify123.0ms (5.7%)

eval32.0ms (1.5%)

prune10.0ms (0.5%)

localize43.0ms (2%)

series1.0ms (0%)

rewrite126.0ms (5.8%)

simplify68.0ms (3.2%)

eval31.0ms (1.5%)

prune8.0ms (0.4%)

localize36.0ms (1.7%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes16.0ms (0.7%)

regimes14.0ms (0.6%)

simplify3.0ms (0.1%)

soundness335.0ms (15.5%)

end0.0ms (0%)

preprocess35.0ms (1.6%)

Profiling