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)

sample581.0ms (15.4%)

Results

411.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 192.0ms

ival-mult: 143.0ms (74.4% of total)

ival-sub: 41.0ms (21.3% of total)

const: 7.0ms (3.6% of total)

backward-pass: 2.0ms (1% of total)

Bogosity

preprocess226.0ms (6%)

Algorithm

1×	egg-herbie

Rules

890×	`fma-define`
612×	`sub-neg`
575×	`fma-neg`
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	3011	217
7	3853	217
8	5641	217
9	6242	217
10	6355	217
11	6469	217
12	6549	217
13	6549	217
14	7930	217

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(abs re)

(abs im)

explain49.0ms (1.3%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
18	-	-	`(-.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: 12.0ms

ival-mult: 9.0ms (72.6% of total)

ival-sub: 2.0ms (16.1% 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
▶	97.3%	(fma.f64 re re (*.f64 im (neg.f64 im)))
▶	93.0%	(-.f64 (.f64 re re) (.f64 im im))

Compiler

Compiled 18 to 10 computations (44.4% saved)

simplify250.0ms (6.6%)

Algorithm

1×	egg-herbie

Localize:

Found 6 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))

Rules

1474×	`distribute-lft-in`
678×	`fma-define`
592×	`sub-neg`
587×	`fma-neg`
432×	`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	897	129
7	1732	129
8	3984	129
9	5722	129
10	6654	129
11	6985	129
12	7222	129
13	7343	129
14	7343	129
15	7343	129
16	7343	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)

localize35.0ms (0.9%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 im (neg.f64 im))
✓	accuracy	100.0%	(neg.f64 im)
✓	accuracy	97.3%	(fma.f64 re re (*.f64 im (neg.f64 im)))
✓	accuracy	100.0%	(*.f64 re re)
✓	accuracy	100.0%	(*.f64 im im)
✓	accuracy	93.5%	(-.f64 (.f64 re re) (.f64 im 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: 12.0ms

ival-mult: 6.0ms (51.7% of total)

ival-fma: 3.0ms (25.8% of total)

ival-sub: 1.0ms (8.6% of total)

ival-neg: 1.0ms (8.6% of total)

const: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Counts

6 → 96

Calls

Call 1

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

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	@	0	(- (* re re) (* im im))
0.0ms	im	@	inf	(* im (neg im))

rewrite274.0ms (7.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	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 re re)
(*.f64 im im)
(fma.f64 re re (*.f64 im (neg.f64 im)))
(*.f64 im (neg.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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(.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)))
im
(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)))

simplify312.0ms (8.3%)

Algorithm

1×	egg-herbie

Rules

553×	`fma-neg`
318×	`distribute-lft-neg-in`
298×	`distribute-rgt-neg-in`
298×	`unswap-sqr`
246×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	711	4294986995
1	1485	4294984575
2	4275	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 re #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(*.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) (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 #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 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 im im (fma.f64 im im (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(+.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64)) (fma.f64 im im (pow.f64 im #s(literal 2 binary64))))
(+.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64)) (*.f64 (fma.f64 im im (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64)) (+.f64 (fma.f64 im im (pow.f64 im #s(literal 2 binary64))) (fma.f64 im im (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (fma.f64 im im (pow.f64 im #s(literal 2 binary64))) (pow.f64 (+.f64 re im) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (+.f64 re im) #s(literal 2 binary64)))
(+.f64 (fma.f64 re re (neg.f64 (.f64 (.f64 (cbrt.f64 im) im) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 im) im)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (.f64 (*.f64 (cbrt.f64 im) im) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))))
(+.f64 (fma.f64 re re (neg.f64 (.f64 (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))))) (fma.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (.f64 (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)))))
(+.f64 (fma.f64 re re (neg.f64 (.f64 (.f64 (sqrt.f64 im) im) (sqrt.f64 im)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 im) im)) (sqrt.f64 im) (.f64 (*.f64 (sqrt.f64 im) im) (sqrt.f64 im))))
(+.f64 (fma.f64 re re (neg.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64)))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64))))
(+.f64 (fma.f64 re re (neg.f64 (.f64 (sqrt.f64 im) (.f64 im (sqrt.f64 im))))) (fma.f64 (neg.f64 (sqrt.f64 im)) (.f64 im (sqrt.f64 im)) (.f64 (sqrt.f64 im) (*.f64 im (sqrt.f64 im)))))
(+.f64 (fma.f64 re re (neg.f64 (.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))))))
(+.f64 (fma.f64 re re (neg.f64 (.f64 (cbrt.f64 im) (.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 im)) (.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (.f64 (cbrt.f64 im) (*.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 (.f64 (.f64 (cbrt.f64 im) im) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 im) im)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (.f64 (*.f64 (cbrt.f64 im) im) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 (.f64 (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))))) (fma.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (.f64 (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)))))
(+.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 (.f64 (.f64 (sqrt.f64 im) im) (sqrt.f64 im)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 im) im)) (sqrt.f64 im) (.f64 (*.f64 (sqrt.f64 im) im) (sqrt.f64 im))))
(+.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64)))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64))))
(+.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 (.f64 (sqrt.f64 im) (.f64 im (sqrt.f64 im))))) (fma.f64 (neg.f64 (sqrt.f64 im)) (.f64 im (sqrt.f64 im)) (.f64 (sqrt.f64 im) (*.f64 im (sqrt.f64 im)))))
(+.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 (.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))))))
(+.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 (.f64 (cbrt.f64 im) (.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 im)) (.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (.f64 (cbrt.f64 im) (*.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)) (neg.f64 (.f64 (.f64 (cbrt.f64 im) im) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 im) im)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (.f64 (*.f64 (cbrt.f64 im) im) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)) (neg.f64 (.f64 (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))))) (fma.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (.f64 (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)) (neg.f64 (.f64 (.f64 (sqrt.f64 im) im) (sqrt.f64 im)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 im) im)) (sqrt.f64 im) (.f64 (*.f64 (sqrt.f64 im) im) (sqrt.f64 im))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)) (neg.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64)))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)) (neg.f64 (.f64 (sqrt.f64 im) (.f64 im (sqrt.f64 im))))) (fma.f64 (neg.f64 (sqrt.f64 im)) (.f64 im (sqrt.f64 im)) (.f64 (sqrt.f64 im) (*.f64 im (sqrt.f64 im)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)) (neg.f64 (.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))))))
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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) (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)))
(+.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)))

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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(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))) (cbrt.f64 (.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 5 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)))
im
(*.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 (cbrt.f64 (sqrt.f64 (pow.f64 im #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 im #s(literal 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 (cbrt.f64 (cbrt.f64 im)) (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 im)) (cbrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 8 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 (cbrt.f64 (sqrt.f64 im)) (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 im))))
(.f64 (cbrt.f64 (sqrt.f64 im)) (cbrt.f64 (.f64 im (pow.f64 (sqrt.f64 im) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 im)) (cbrt.f64 (pow.f64 (sqrt.f64 im) #s(literal 5 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 (cbrt.f64 im) (cbrt.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64)))))
(*.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)))
im
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 im)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 im)) #s(literal 2 binary64)))
im
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) im)
(neg.f64 im)
(/.f64 (pow.f64 im #s(literal 2 binary64)) im)
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))))
(neg.f64 im)
(pow.f64 im #s(literal 1 binary64))
im
(pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))
im
(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))
im
(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))
im
(pow.f64 (sqrt.f64 im) #s(literal 2 binary64))
im
(sqrt.f64 (pow.f64 im #s(literal 2 binary64)))
im
(fabs.f64 im)
im
(log.f64 (exp.f64 im))
im
(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

eval51.0ms (1.4%)

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

prune55.0ms (1.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	421	2	423
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	421	4	425

Accuracy

100.0%

Counts

425 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.3%	(fma.f64 re re (*.f64 im (neg.f64 im)))
✓	93.0%	(-.f64 (.f64 re re) (.f64 im im))
▶	48.9%	(*.f64 (+.f64 re im) (+.f64 re im))
▶	55.4%	(neg.f64 (pow.f64 im #s(literal 2 binary64)))

Compiler

Compiled 33 to 19 computations (42.4% saved)

simplify101.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

1090×	`fma-neg`
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

localize28.0ms (0.7%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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)))

Results

20.0ms

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: 3.0ms (32.8% of total)

ival-pow: 3.0ms (32.8% of total)

ival-add: 1.0ms (10.9% of total)

ival-neg: 1.0ms (10.9% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.2%)

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	re	@	-inf	(* (+ re im) (+ re im))
0.0ms	im	@	inf	(* (+ re im) (+ re im))
0.0ms	re	@	inf	(* (+ re im) (+ re im))
0.0ms	re	@	0	(* (+ re im) (+ re im))

rewrite107.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

591×	`log1p-expm1-u`
591×	`expm1-log1p-u`
529×	`unpow-prod-down`
286×	`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)))
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(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)

simplify190.0ms (5%)

Algorithm

1×	egg-herbie

Rules

554×	`prod-exp`
412×	`associate-/l*`
315×	`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	7679	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))
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(fma.f64 (sqrt.f64 im) (.f64 (sqrt.f64 im) (+.f64 im re)) (.f64 re (+.f64 im re)))
(pow.f64 (+.f64 im re) #s(literal 2 binary64))
(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)

eval45.0ms (1.2%)

Compiler: Compiled 4908 to 856 computations (82.6% saved)

prune51.0ms (1.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	382	3	385
Fresh	0	0	0
Picked	2	0	2
Done	0	2	2
Total	384	5	389

Accuracy

100.0%

Counts

389 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.3%	(fma.f64 re re (*.f64 im (neg.f64 im)))
✓	93.0%	(-.f64 (.f64 re re) (.f64 im im))
▶	49.2%	(*.f64 (+.f64 re im) re)
▶	55.4%	(*.f64 (neg.f64 im) im)
▶	8.5%	(*.f64 im im)

Compiler

Compiled 36 to 21 computations (41.7% saved)

simplify29.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Program
	cost-diff	(+.f64 re im)
✓	cost-diff	(*.f64 (+.f64 re im) re)
	cost-diff	(neg.f64 im)
✓	cost-diff	(*.f64 (neg.f64 im) im)
	cost-diff	(*.f64 im im)

Rules

209×	`fma-define`
63×	`fma-neg`
34×	`distribute-lft-in`
31×	`associate-r`
29×	`unsub-neg`

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	145	89
9	193	89
10	347	89
11	607	89
12	642	89
13	650	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

localize32.0ms (0.8%)

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
	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)

Results

20.0ms

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 (68.3% 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)

series3.0ms (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	re	@	0	(* (+ re im) re)
0.0ms	im	@	-inf	(* (+ re im) re)
0.0ms	im	@	inf	(* (+ re im) re)

rewrite79.0ms (2.1%)

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

simplify115.0ms (3%)

Algorithm

1×	egg-herbie

Rules

639×	`times-frac`
446×	`exp-prod`
385×	`prod-exp`
325×	`associate-+r+`
302×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	186	4294969560
1	368	4294969552
2	804	4294969552
3	2649	4294969552
4	6952	4294969552

Stop Event

1×	node limit

Counts

107 → 82

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 (*.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 (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 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 im re)) re)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 im re)) re)))) (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 (.f64 (cbrt.f64 (.f64 im re)) (cbrt.f64 (.f64 im re))) (cbrt.f64 (.f64 im re)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 re) #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 (*.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))
(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 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 im re)) re)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 im re)) re)))) (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 #s(literal 2 binary64) (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 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 re (/.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 (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 re (/.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 (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 (.f64 (cbrt.f64 (.f64 im re)) (cbrt.f64 (.f64 im re))) (cbrt.f64 (.f64 im re)) (pow.f64 re #s(literal 2 binary64)))
(*.f64 re (+.f64 im re))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 re) #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))

eval38.0ms (1%)

Compiler: Compiled 3056 to 800 computations (73.8% saved)

prune42.0ms (1.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	306	1	307
Fresh	0	0	0
Picked	2	1	3
Done	0	2	2
Total	308	4	312

Accuracy

100.0%

Counts

312 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.3%	(fma.f64 re re (*.f64 im (neg.f64 im)))
✓	93.0%	(-.f64 (.f64 re re) (.f64 im im))
✓	55.4%	(*.f64 (neg.f64 im) im)
▶	49.7%	(*.f64 re re)

Compiler

Compiled 29 to 17 computations (41.4% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
	cost-diff	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

localize16.0ms (0.4%)

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 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 (78.4% 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

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	22	4	26

Accuracy

100.0%

Counts

26 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.3%	(fma.f64 re re (*.f64 im (neg.f64 im)))
✓	93.0%	(-.f64 (.f64 re re) (.f64 im im))
✓	55.4%	(*.f64 (neg.f64 im) im)
✓	49.7%	(*.f64 re re)

Compiler

Compiled 71 to 32 computations (54.9% saved)

regimes53.0ms (1.4%)

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:

41.0ms	(*.f64 re re)
3.0ms	im
3.0ms	re
3.0ms	(*.f64 im im)
3.0ms	(-.f64 (.f64 re re) (.f64 im im))

Results

Accuracy	Segments	Branch
97.3%	1	`re`
97.3%	1	`im`
97.3%	1	`(-.f64 (.f64 re re) (.f64 im im))`
97.3%	1	`(*.f64 re re)`
97.3%	1	`(*.f64 im im)`

Compiler

Compiled 25 to 15 computations (40% saved)

regimes15.0ms (0.4%)

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:

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

Results

Accuracy	Segments	Branch
95.7%	2	`re`
97.3%	2	`im`
97.3%	2	`(-.f64 (.f64 re re) (.f64 im im))`
95.7%	2	`(*.f64 re re)`
97.3%	2	`(*.f64 im im)`

Compiler

Compiled 25 to 15 computations (40% saved)

regimes9.0ms (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:

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

Results

Accuracy	Segments	Branch
76.5%	2	`re`
76.5%	2	`(*.f64 re re)`
80.6%	2	`im`
80.6%	2	`(*.f64 im im)`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes6.0ms (0.2%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 re re)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
49.7%	1	`re`
49.7%	1	`(*.f64 re re)`
49.7%	1	`im`
49.7%	1	`(*.f64 im im)`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes9.0ms (0.2%)

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

Results

Accuracy	Segments	Branch
8.5%	1	`im`
8.5%	1	`(*.f64 im im)`
8.5%	1	`re`

Compiler

Compiled 11 to 7 computations (36.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1275409248660372e+261	3.0650237287823338e+271

Compiler

Compiled 14 to 9 computations (35.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.5925346852950025e+166	4.3312766262077545e+166

Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify4.0ms (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 1999999999999999857547681040733515073753478641623153224463562961402940190709054988015492682882276552884948779539095127050864586233002245134357428718762445554209708921491609358759288994086416534767263294334755723897091779949617923739887142153550856217846978969600 binary64)) (-.f64 (.f64 re re) (.f64 im im)) (.f64 (neg.f64 im) im))
(if (<=.f64 (.f64 im im) #s(literal 39999999999999997616291042021410332095933184403421192921799076575753209026647455352718401016207802277498189570060273431092509962742598192468558863886980588966057607168 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 1999999999999999857547681040733515073753478641623153224463562961402940190709054988015492682882276552884948779539095127050864586233002245134357428718762445554209708921491609358759288994086416534767263294334755723897091779949617923739887142153550856217846978969600 binary64)) (-.f64 (.f64 re re) (.f64 im im)) (.f64 (neg.f64 im) im))
(if (<=.f64 (.f64 im im) #s(literal 1999999999999999857547681040733515073753478641623153224463562961402940190709054988015492682882276552884948779539095127050864586233002245134357428718762445554209708921491609358759288994086416534767263294334755723897091779949617923739887142153550856217846978969600 binary64)) (-.f64 (.f64 re re) (.f64 im im)) (.f64 im (neg.f64 im)))
(if (<=.f64 (.f64 im im) #s(literal 39999999999999997616291042021410332095933184403421192921799076575753209026647455352718401016207802277498189570060273431092509962742598192468558863886980588966057607168 binary64)) (.f64 re re) (*.f64 (neg.f64 im) im))
(if (<=.f64 (.f64 im im) #s(literal 39999999999999997616291042021410332095933184403421192921799076575753209026647455352718401016207802277498189570060273431092509962742598192468558863886980588966057607168 binary64)) (.f64 re re) (*.f64 im (neg.f64 im)))
(*.f64 re re)
(*.f64 im im)

soundness908.0ms (24%)

Rules

890×	`fma-define`
612×	`sub-neg`
605×	`prod-diff`
591×	`log1p-expm1-u`
591×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	229
1	66	217
2	174	217
3	440	217
4	1065	217
5	2042	217
6	3011	217
7	3853	217
8	5641	217
9	6242	217
10	6355	217
11	6469	217
12	6549	217
13	6549	217
14	7930	217
0	13	60
1	147	52
2	2017	52
0	15	88
1	190	72
2	2277	72
0	711	4294986995
1	1485	4294984575
2	4275	4294983370

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)

preprocess35.0ms (0.9%)

Remove

(abs im)

(abs re)

Compiler

Compiled 216 to 98 computations (54.6% saved)

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	145	89
9	193	89
10	347	89
11	607	89
12	642	89
13	650	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	145	89
9	193	89
10	347	89
11	607	89
12	642	89
13	650	89

analyze1.0ms (0%)

sample581.0ms (15.4%)

preprocess226.0ms (6%)

explain49.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify250.0ms (6.6%)

localize35.0ms (0.9%)

series9.0ms (0.2%)

rewrite274.0ms (7.2%)

simplify312.0ms (8.3%)

eval51.0ms (1.4%)

prune55.0ms (1.5%)

simplify101.0ms (2.7%)

localize28.0ms (0.7%)

series6.0ms (0.2%)

rewrite107.0ms (2.8%)

simplify190.0ms (5%)

eval45.0ms (1.2%)

prune51.0ms (1.3%)

simplify29.0ms (0.8%)

localize32.0ms (0.8%)

series3.0ms (0.1%)

rewrite79.0ms (2.1%)

simplify115.0ms (3%)

eval38.0ms (1%)

prune42.0ms (1.1%)

simplify5.0ms (0.1%)

localize16.0ms (0.4%)

eval3.0ms (0.1%)

prune5.0ms (0.1%)

regimes53.0ms (1.4%)

regimes15.0ms (0.4%)

regimes9.0ms (0.3%)

regimes6.0ms (0.2%)

regimes9.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

soundness908.0ms (24%)

preprocess35.0ms (0.9%)

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	145	89
9	193	89
10	347	89
11	607	89
12	642	89
13	650	89