Metrics for math.square on complex, real part

analyze1.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 6 computations (40% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

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

sample693.0ms (16.8%)

Results

495.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 243.0ms

ival-mult: 174.0ms (71.7% of total)

ival-sub: 57.0ms (23.5% of total)

const: 8.0ms (3.3% of total)

backward-pass: 3.0ms (1.2% of total)

Bogosity

preprocess239.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

890×	`fma-define`
593×	`sub-neg`
575×	`fmm-def`
564×	`distribute-lft-in`
514×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	229
1	66	217
2	174	217
3	440	217
4	1065	217
5	2042	217
6	3004	217
7	3846	217
8	5624	217
9	6223	217
10	6336	217
11	6450	217
12	6530	217
13	6530	217
14	7911	217

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(abs re)

(abs im)

explain47.0ms (1.1%)

FPErrors

Click to see full error table

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

Results

29.0ms

512×

valid

Compiler

Compiled 45 to 17 computations (62.2% saved)

Precisions

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

ival-mult: 8.0ms (71% of total)

ival-sub: 2.0ms (17.7% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(fma.f64 re re (*.f64 im (neg.f64 im)))
▶	95.7%	(-.f64 (.f64 re re) (.f64 im im))

Compiler

Compiled 18 to 10 computations (44.4% saved)

localize285.0ms (6.9%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 im)
✓	cost-diff	0	(*.f64 im (neg.f64 im))
✓	cost-diff	6336	(fma.f64 re re (*.f64 im (neg.f64 im)))
✓	cost-diff	0	(*.f64 im im)
✓	cost-diff	0	(*.f64 re re)
✓	cost-diff	0	(-.f64 (.f64 re re) (.f64 im im))
✓	accuracy	100.0%	(*.f64 im (neg.f64 im))
✓	accuracy	100.0%	(neg.f64 im)
✓	accuracy	98.0%	(fma.f64 re re (*.f64 im (neg.f64 im)))
✓	accuracy	100.0%	(*.f64 re re)
✓	accuracy	100.0%	(*.f64 im im)
✓	accuracy	96.1%	(-.f64 (.f64 re re) (.f64 im im))

Rules

1472×	`distribute-lft-in`
675×	`fma-define`
595×	`fmm-def`
593×	`sub-neg`
382×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	129
1	28	129
2	37	129
3	70	129
4	149	129
5	413	129
6	895	129
7	1730	129
8	3984	129
9	5739	129
10	6673	129
11	7004	129
12	7241	129
13	7362	129
14	7362	129
15	7362	129
16	7362	129

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

25.0ms

256×

valid

Compiler

Compiled 33 to 9 computations (72.7% saved)

Precisions

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

ival-mult: 8.0ms (49% of total)

<compiled-spec>: 3.0ms (18.4% of total)

ival-sub: 2.0ms (12.2% of total)

ival-add: 1.0ms (6.1% of total)

ival-neg: 1.0ms (6.1% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Counts

6 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite334.0ms (8.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	190	72
2	2277	72

Stop Event

1×	node limit

Counts

6 → 501

Calls

Call 1

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

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

simplify238.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

698×	`fmm-def`
317×	`distribute-lft-neg-in`
298×	`unswap-sqr`
297×	`distribute-rgt-neg-in`
244×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	711	4294986995
1	1561	4294984575
2	4453	4294983370

Stop Event

1×	node limit

Counts

597 → 423

Calls

Call 1

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

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

eval51.0ms (1.2%)

Compiler: Compiled 7318 to 1128 computations (84.6% saved)

prune54.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	421	2	423
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	422	3	425

Accuracy

100.0%

Counts

425 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.7%	(-.f64 (.f64 re re) (.f64 im im))
▶	53.2%	(*.f64 (+.f64 re im) (+.f64 re im))
▶	56.2%	(neg.f64 (pow.f64 im #s(literal 2 binary64)))

Compiler

Compiled 24 to 14 computations (41.7% saved)

localize371.0ms (9%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 re im)
✓	cost-diff	0	(*.f64 (+.f64 re im) (+.f64 re im))
✓	cost-diff	0	(pow.f64 im #s(literal 2 binary64))
✓	cost-diff	0	(neg.f64 (pow.f64 im #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 re im)
✓	accuracy	100.0%	(*.f64 (+.f64 re im) (+.f64 re im))
✓	accuracy	100.0%	(pow.f64 im #s(literal 2 binary64))
✓	accuracy	100.0%	(neg.f64 (pow.f64 im #s(literal 2 binary64)))

Rules

1090×	`fmm-def`
339×	`fma-define`
229×	`cancel-sign-sub-inv`
124×	`distribute-rgt-in`
124×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	81
1	25	81
2	50	81
3	93	81
4	143	81
5	182	81
6	245	81
7	438	81
8	642	81
9	1249	81
10	2307	81
11	2773	81
12	3044	81
13	3065	81
14	3065	81

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

18.0ms

256×

valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

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

ival-pow: 3.0ms (38% of total)

ival-mult: 2.0ms (25.3% of total)

ival-add: 1.0ms (12.7% of total)

ival-neg: 1.0ms (12.7% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

4 → 60

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite102.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

591×	`log1p-expm1-u`
591×	`expm1-log1p-u`
529×	`unpow-prod-down`
282×	`fma-define`
280×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	60
1	147	52
2	2017	52

Stop Event

1×	node limit

Counts

4 → 251

Calls

Call 1

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

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

simplify181.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

554×	`prod-exp`
412×	`associate-/l*`
314×	`associate-/r*`
224×	`associate-+r+`
206×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	503	4294974814
1	1102	4294974608
2	3147	4294974428
3	7678	4294974428

Stop Event

1×	node limit

Counts

311 → 285

Calls

Call 1

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

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

eval48.0ms (1.2%)

Compiler: Compiled 4908 to 860 computations (82.5% saved)

prune56.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	382	3	385
Fresh	0	0	0
Picked	2	0	2
Done	0	1	1
Total	384	4	388

Accuracy

100.0%

Counts

388 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.7%	(-.f64 (.f64 re re) (.f64 im im))
▶	53.4%	(*.f64 (+.f64 re im) re)
▶	56.2%	(*.f64 (neg.f64 im) im)
▶	12.3%	(*.f64 im im)

Compiler

Compiled 27 to 16 computations (40.7% saved)

localize62.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(+.f64 re im)
✓	cost-diff	0	(*.f64 (+.f64 re im) re)
	cost-diff	0	(neg.f64 im)
✓	cost-diff	0	(*.f64 (neg.f64 im) im)
	cost-diff	0	(*.f64 im im)
	accuracy	100.0%	(+.f64 re im)
✓	accuracy	100.0%	(*.f64 (+.f64 re im) re)
✓	accuracy	100.0%	(*.f64 (neg.f64 im) im)
	accuracy	100.0%	(neg.f64 im)
	accuracy	100.0%	(*.f64 im im)

Rules

209×	`fma-define`
63×	`fmm-def`
34×	`distribute-lft-in`
30×	`associate-r`
25×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	89
1	21	89
2	33	89
3	46	89
4	55	89
5	65	89
6	88	89
7	128	89
8	147	89
9	195	89
10	348	89
11	610	89
12	645	89
13	653	89

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

23.0ms

256×

valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 6.0ms (68.6% of total)

ival-add: 1.0ms (11.4% of total)

ival-neg: 1.0ms (11.4% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Counts

2 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite82.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

698×	`prod-diff`
528×	`unpow-prod-down`
528×	`log1p-expm1-u`
528×	`expm1-log1p-u`
276×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	140	32
2	1927	32

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

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

simplify103.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

639×	`times-frac`
446×	`exp-prod`
385×	`prod-exp`
330×	`associate-+r+`
306×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	186	4294969514
1	370	4294969506
2	810	4294969506
3	2655	4294969506
4	6955	4294969506

Stop Event

1×	node limit

Counts

107 → 84

Calls

Call 1

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

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

eval68.0ms (1.6%)

Compiler: Compiled 3069 to 816 computations (73.4% saved)

prune46.0ms (1.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	308	1	309
Fresh	0	0	0
Picked	2	1	3
Done	0	1	1
Total	310	3	313

Accuracy

100.0%

Counts

313 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.7%	(-.f64 (.f64 re re) (.f64 im im))
✓	56.2%	(*.f64 (neg.f64 im) im)
▶	53.9%	(*.f64 re re)

Compiler

Compiled 20 to 12 computations (40% saved)

localize19.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 re re)
	accuracy	100.0%	(*.f64 re re)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 re re)
re

Outputs
(*.f64 re re)
re

Results

9.0ms

256×

valid

Compiler

Compiled 7 to 4 computations (42.9% saved)

Precisions

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

ival-mult: 2.0ms (79.3% of total)

const: 0.0ms (0% of total)

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

eval3.0ms (0.1%)

Compiler: Compiled 145 to 59 computations (59.3% saved)

prune5.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	22	3	25

Accuracy

100.0%

Counts

25 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.7%	(-.f64 (.f64 re re) (.f64 im im))
✓	56.2%	(*.f64 (neg.f64 im) im)
✓	53.9%	(*.f64 re re)

Compiler

Compiled 62 to 27 computations (56.5% saved)

regimes16.0ms (0.4%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
98.0%	1	`re`
98.0%	1	`im`
98.0%	1	`(-.f64 (.f64 re re) (.f64 im im))`
98.0%	1	`(*.f64 re re)`
98.0%	1	`(*.f64 im im)`

Compiler

Compiled 25 to 15 computations (40% saved)

regimes14.0ms (0.3%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
97.7%	2	`re`
98.0%	2	`im`
98.0%	2	`(-.f64 (.f64 re re) (.f64 im im))`
97.7%	2	`(*.f64 re re)`
98.0%	2	`(*.f64 im im)`

Compiler

Compiled 25 to 15 computations (40% saved)

regimes11.0ms (0.3%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
77.7%	2	`re`
77.7%	2	`(*.f64 re re)`
83.4%	2	`im`
83.4%	2	`(*.f64 im im)`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes6.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 re re)

Calls

4 calls:

2.0ms	im
2.0ms	re
1.0ms	(*.f64 im im)
1.0ms	(*.f64 re re)

Results

Accuracy	Segments	Branch
53.9%	1	`re`
53.9%	1	`(*.f64 re re)`
53.9%	1	`im`
53.9%	1	`(*.f64 im im)`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 im im)

Outputs
(*.f64 im im)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
12.3%	1	`im`
12.3%	1	`(*.f64 im im)`
12.3%	1	`re`

Compiler

Compiled 11 to 7 computations (36.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.1449848470643505e+293	1.5001654082817607e+297

Compiler

Compiled 14 to 9 computations (35.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.9601315846276064e-112	1.2808403366665464e-110

Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	177
1	33	177
2	38	177
3	41	177
4	42	177

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 re re (*.f64 im (neg.f64 im)))
(if (<=.f64 (.f64 im im) #s(literal 399999999999999969849393749415841940241795735831694100810442619395961393117864309170007877693073620101315880924650182593374621101226715489766935160712237913322941580241869878911979891602120255915223375812408455472001518481476338008537235902020918223091654517694545223366409510345304991057575936 binary64)) (-.f64 (.f64 re re) (.f64 im im)) (.f64 (neg.f64 im) im))
(if (<=.f64 (.f64 im im) #s(literal 5415370496329717/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304 binary64)) (.f64 re re) (*.f64 (neg.f64 im) im))
(*.f64 re re)
(*.f64 im im)

Outputs
(fma.f64 re re (*.f64 im (neg.f64 im)))
(if (<=.f64 (.f64 im im) #s(literal 399999999999999969849393749415841940241795735831694100810442619395961393117864309170007877693073620101315880924650182593374621101226715489766935160712237913322941580241869878911979891602120255915223375812408455472001518481476338008537235902020918223091654517694545223366409510345304991057575936 binary64)) (-.f64 (.f64 re re) (.f64 im im)) (.f64 (neg.f64 im) im))
(if (<=.f64 (.f64 im im) #s(literal 399999999999999969849393749415841940241795735831694100810442619395961393117864309170007877693073620101315880924650182593374621101226715489766935160712237913322941580241869878911979891602120255915223375812408455472001518481476338008537235902020918223091654517694545223366409510345304991057575936 binary64)) (-.f64 (.f64 re re) (.f64 im im)) (.f64 im (neg.f64 im)))
(if (<=.f64 (.f64 im im) #s(literal 5415370496329717/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304 binary64)) (.f64 re re) (*.f64 (neg.f64 im) im))
(if (<=.f64 (.f64 im im) #s(literal 5415370496329717/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304 binary64)) (.f64 re re) (*.f64 im (neg.f64 im)))
(*.f64 re re)
(*.f64 im im)

soundness941.0ms (22.8%)

Rules

890×	`fma-define`
698×	`fmm-def`
605×	`prod-diff`
593×	`sub-neg`
591×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	711	4294986995
1	1561	4294984575
2	4453	4294983370
0	15	88
1	190	72
2	2277	72
0	13	60
1	147	52
2	2017	52
0	20	229
1	66	217
2	174	217
3	440	217
4	1065	217
5	2042	217
6	3004	217
7	3846	217
8	5624	217
9	6223	217
10	6336	217
11	6450	217
12	6530	217
13	6530	217
14	7911	217

Stop Event

1×	done
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 230 to 82 computations (64.3% saved)

preprocess33.0ms (0.8%)

Remove

(abs im)

(abs re)

Compiler

Compiled 216 to 98 computations (54.6% saved)

math.square on complex, real part

analyze1.0ms (0%)

sample693.0ms (16.8%)

preprocess239.0ms (5.8%)

explain47.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize285.0ms (6.9%)

series6.0ms (0.2%)

rewrite334.0ms (8.1%)

simplify238.0ms (5.7%)

eval51.0ms (1.2%)

prune54.0ms (1.3%)

localize371.0ms (9%)

series4.0ms (0.1%)

rewrite102.0ms (2.5%)

simplify181.0ms (4.4%)

eval48.0ms (1.2%)

prune56.0ms (1.4%)

localize62.0ms (1.5%)

series2.0ms (0.1%)

rewrite82.0ms (2%)

simplify103.0ms (2.5%)

eval68.0ms (1.6%)

prune46.0ms (1.1%)

localize19.0ms (0.5%)

eval3.0ms (0.1%)

prune5.0ms (0.1%)

regimes16.0ms (0.4%)

regimes14.0ms (0.3%)

regimes11.0ms (0.3%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

soundness941.0ms (22.8%)

preprocess33.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	89
1	21	89
2	33	89
3	46	89
4	55	89
5	65	89
6	88	89
7	128	89
8	147	89
9	195	89
10	348	89
11	610	89
12	645	89
13	653	89

Iter	Nodes	Cost
0	13	89
1	21	89
2	33	89
3	46	89
4	55	89
5	65	89
6	88	89
7	128	89
8	147	89
9	195	89
10	348	89
11	610	89
12	645	89
13	653	89

Iter	Nodes	Cost
0	13	89
1	21	89
2	33	89
3	46	89
4	55	89
5	65	89
6	88	89
7	128	89
8	147	89
9	195	89
10	348	89
11	610	89
12	645	89
13	653	89