Metrics for math.abs on complex (squared)

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

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 9 to 7 computations (22.2% saved)

sample653.0ms (33.7%)

Memory

15.2MiB live, 885.4MiB allocated

Samples

475.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 309.0ms

ival-mult: 266.0ms (86.1% of total)

ival-add: 36.0ms (11.7% of total)

ival-true: 5.0ms (1.6% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

preprocess53.0ms (2.7%)

Memory

-12.7MiB live, 61.2MiB allocated

Algorithm

1×	egg-herbie

Rules

68×	`fmm-def`
31×	`fma-define`
18×	`distribute-lft-neg-in`
13×	`neg-sub0`
13×	`neg-mul-1`

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)

explain62.0ms (3.2%)

Memory

3.9MiB live, 85.9MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

22.0ms

512×

valid

Compiler

Compiled 52 to 24 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 7.0ms (73.4% of total)

ival-add: 2.0ms (21% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 8 to 4 computations (50% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

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)

simplify6.0ms (0.3%)

Memory

6.6MiB live, 6.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 (.f64 re re) (.f64 im im))
✓	cost-diff	0	(*.f64 im im)
✓	cost-diff	0	(*.f64 re re)

Rules

2×	`fma-define`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	61
1	13	61
2	14	61

Stop Event

1×

saturated

Calls

Call 1

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

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

localize16.0ms (0.8%)

Memory

18.2MiB live, 18.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 re re)
✓	accuracy	100.0%	(*.f64 im im)
✓	accuracy	100.0%	(+.f64 (.f64 re re) (.f64 im im))

Samples

10.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-mult: 3.0ms (63.6% of total)

ival-add: 1.0ms (21.2% of total)

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

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

series56.0ms (2.9%)

Memory

-33.1MiB live, 4.4MiB allocated

Counts

3 → 48

Calls

Call 1

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

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

12 calls:

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

rewrite262.0ms (13.5%)

Memory

14.2MiB live, 269.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

573×	`prod-diff`
502×	`log1p-expm1-u`
502×	`expm1-log1p-u`
435×	`pow1`
425×	`unpow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	117	39
2	1476	39

Stop Event

1×	node limit

Counts

3 → 116

Calls

Call 1

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

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

simplify240.0ms (12.4%)

Memory

-16.9MiB live, 97.0MiB allocated

Algorithm

1×	egg-herbie

Rules

424×	`fmm-def`
388×	`cancel-sign-sub-inv`
312×	`distribute-lft-in`
302×	`distribute-rgt-in`
279×	`exp-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	273	3647
1	534	3366
2	1161	3366
3	3389	3366

Stop Event

1×	node limit

Counts

164 → 126

Calls

Call 1

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

eval14.0ms (0.7%)

Memory: 24.8MiB live, 24.8MiB allocated
Compiler: Compiled 1 451 to 342 computations (76.4% saved)

prune56.0ms (2.9%)

Memory

-5.4MiB live, 37.2MiB allocated

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	125	2	127

Accuracy

100.0%

Counts

127 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify8.0ms (0.4%)

Memory

-28.0MiB live, 11.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(hypot.f64 re im)
✓	cost-diff	0	(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))

Rules

2×	`fma-define`
1×	`hypot-define`
1×	`rem-square-sqrt`
1×	`hypot-undefine`
1×	`unpow2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
1	16	41
2	19	41
3	22	41

Stop Event

1×

saturated

Calls

Call 1

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

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

localize18.0ms (0.9%)

Memory

18.6MiB live, 18.6MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(hypot.f64 re im)
✓	accuracy	100.0%	(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))

Samples

12.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-hypot: 4.0ms (63.6% of total)

ival-pow2: 2.0ms (31.8% of total)

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

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

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

series5.0ms (0.3%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))>
#<alt (hypot.f64 re 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)))))>
#<alt im>
#<alt (+.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))>
#<alt (+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))>
#<alt (+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))>
#<alt re>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))>
#<alt re>
#<alt (+.f64 re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))>
#<alt (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))>
#<alt im>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))>

Calls

12 calls:

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

rewrite74.0ms (3.8%)

Memory

4.6MiB live, 43.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

302×	`log1p-expm1-u`
302×	`expm1-log1p-u`
286×	`add-exp-log`
278×	`pow1`
276×	`unpow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	89	32
2	918	32

Stop Event

1×	node limit

Counts

2 → 112

Calls

Call 1

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

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

simplify154.0ms (8%)

Memory

4.4MiB live, 163.0MiB allocated

Algorithm

1×	egg-herbie

Rules

612×	`fmm-def`
561×	`distribute-lft-in`
518×	`distribute-rgt-in`
429×	`times-frac`
361×	`prod-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	366	6484
1	798	5851
2	2315	5772
3	7430	5772

Stop Event

1×	node limit

Counts

160 → 228

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)))))
im
(+.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))
(+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
re
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) re)
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
re
(+.f64 re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
(+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
im
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) im)
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 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 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (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 (hypot.f64 re im) (hypot.f64 re im))
(*.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 (E.f64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) (sqrt.f64 (hypot.f64 re im)))
(.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (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 (cbrt.f64 (hypot.f64 re im)) #s(literal 5 binary64)) (cbrt.f64 (hypot.f64 re im)))
(*.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 (hypot.f64 re im) #s(literal 5 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 8 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 5 binary64))) (cbrt.f64 (hypot.f64 re im)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 8 binary64))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 5 binary64))) (cbrt.f64 (hypot.f64 re im)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64)))) (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #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 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (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 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (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 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)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1 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 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 4 binary64)))
(fabs.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 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 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64))) #s(literal 1/3 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 #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 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))) (cbrt.f64 (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #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 (sqrt.f64 re) (pow.f64 re #s(literal 3/2 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 (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 (cbrt.f64 (pow.f64 re #s(literal 4 binary64))) (cbrt.f64 (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #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 im #s(literal 3/2 binary64)) (sqrt.f64 im) (pow.f64 re #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)))
(+.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 re im)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (hypot.f64 re im))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 re im)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 re im)))))
(-.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 re im)) #s(literal 1 binary64))
(*.f64 (hypot.f64 re im) #s(literal 1 binary64))
(*.f64 (hypot.f64 re im) (log.f64 (E.f64)))
(*.f64 (hypot.f64 re im) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (hypot.f64 re im))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 re im)))
(*.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 4 binary64))) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 5 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 5 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 8 binary64)))) (cbrt.f64 (cbrt.f64 (hypot.f64 re im))))
(*.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (hypot.f64 re im))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 8 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (hypot.f64 re im))))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 5/2 binary64))) (pow.f64 (hypot.f64 re im) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 5 binary64))) (pow.f64 (hypot.f64 re im) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64))) (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 re im)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 re im)) (+.f64 #s(literal 1 binary64) (hypot.f64 re im))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 re im)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 re im)) (+.f64 #s(literal 1 binary64) (hypot.f64 re im))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 re im)) #s(literal 1 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (hypot.f64 re im)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))
(fabs.f64 (hypot.f64 re im))
(fabs.f64 (neg.f64 (hypot.f64 re im)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (hypot.f64 re im))))
(log.f64 (exp.f64 (hypot.f64 re im)))
(cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 re im)))
(log1p.f64 (expm1.f64 (hypot.f64 re im)))
(exp.f64 (log.f64 (hypot.f64 re im)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re 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)))))
(*.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)))
(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)))))
(*.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)))))
im
(+.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im) im)
(+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) im))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) im)) im)
(+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) im))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) im)) im)
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) im)) im)
re
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.f64 re (fma.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))))))
(.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))))))))
(.f64 re (+.f64 (fma.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))))))
(*.f64 #s(literal -1 binary64) re)
(neg.f64 re)
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(.f64 (neg.f64 re) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.f64 re (neg.f64 (fma.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(.f64 (neg.f64 re) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))))) (neg.f64 re))
(.f64 re (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
(.f64 (neg.f64 re) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(.f64 re (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))))))))
(.f64 re (neg.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))))))))
re
(+.f64 re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re) re)
(+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
(+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) re))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) re)) re)
(+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
(+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) re))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) re)) re)
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) re)) re)
im
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.f64 im (fma.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1 binary64)))
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(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (hypot.f64 im re) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (hypot.f64 im re) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) #s(literal 1 binary64)))
(hypot.f64 im re)
(pow.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) #s(literal 1 binary64)))
(hypot.f64 im re)
(pow.f64 (E.f64) (log.f64 (hypot.f64 re im)))
(+.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) #s(literal 1 binary64)))
(hypot.f64 im re)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (hypot.f64 im re))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 im re)))) (sqrt.f64 (log.f64 (hypot.f64 im re))))
(sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) #s(literal 1 binary64)))
(hypot.f64 im re)
(fabs.f64 (hypot.f64 re im))
(+.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) #s(literal 1 binary64)))
(hypot.f64 im re)
(fabs.f64 (neg.f64 (hypot.f64 re im)))
(+.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) #s(literal 1 binary64)))
(hypot.f64 im re)
(fabs.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (hypot.f64 re im))))
(+.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) #s(literal 1 binary64)))
(hypot.f64 im re)
(log.f64 (exp.f64 (hypot.f64 re im)))
(+.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) #s(literal 1 binary64)))
(hypot.f64 im re)
(cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) #s(literal 1 binary64)))
(hypot.f64 im re)
(expm1.f64 (log1p.f64 (hypot.f64 re im)))
(+.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) #s(literal 1 binary64)))
(hypot.f64 im re)
(log1p.f64 (expm1.f64 (hypot.f64 re im)))
(+.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) #s(literal 1 binary64)))
(hypot.f64 im re)
(exp.f64 (log.f64 (hypot.f64 re im)))
(+.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) #s(literal 1 binary64)))
(hypot.f64 im re)
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) #s(literal 1 binary64)))
(hypot.f64 im re)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) #s(literal 3 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) #s(literal 1 binary64)))
(hypot.f64 im re)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1/3 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) #s(literal 1 binary64)))
(hypot.f64 im re)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) #s(literal 1 binary64)))
(hypot.f64 im re)

eval39.0ms (2%)

Memory: -12.7MiB live, 69.8MiB allocated
Compiler: Compiled 3 662 to 750 computations (79.5% saved)

prune46.0ms (2.4%)

Memory

-12.8MiB live, 65.1MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	228	0	228
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	228	2	230

Accuracy

100.0%

Counts

230 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 30 to 18 computations (40% saved)

regimes7.0ms (0.4%)

Memory

9.5MiB live, 9.5MiB allocated

Accuracy

Total -0.0b remaining (-300%)

Threshold costs -0b (-300%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	im
1.0ms	re
1.0ms	(*.f64 im im)
1.0ms	(+.f64 (.f64 re re) (.f64 im im))
1.0ms	(*.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)

simplify2.0ms (0.1%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	11	31

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Stop Event

1×

done

Compiler

Compiled 9 to 5 computations (44.4% saved)

preprocess164.0ms (8.5%)

Memory

-0.5MiB live, 38.6MiB allocated

Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 144 to 80 computations (44.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample653.0ms (33.7%)

preprocess53.0ms (2.7%)

explain62.0ms (3.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.3%)

localize16.0ms (0.8%)

series56.0ms (2.9%)

rewrite262.0ms (13.5%)

simplify240.0ms (12.4%)

eval14.0ms (0.7%)

prune56.0ms (2.9%)

simplify8.0ms (0.4%)

localize18.0ms (0.9%)

series5.0ms (0.3%)

rewrite74.0ms (3.8%)

simplify154.0ms (8%)

eval39.0ms (2%)

prune46.0ms (2.4%)

regimes7.0ms (0.4%)

simplify2.0ms (0.1%)

soundness0.0ms (0%)

preprocess164.0ms (8.5%)

end0.0ms (0%)

Profiling