Metrics for 2atan (example 3.5)

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	8.1%	91.9%	0%	0%	0%	0
100%	8.1%	0%	91.9%	0%	0%	0%	1

Compiler

Compiled 15 to 10 computations (33.3% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

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

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

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

sample2.0s (30.3%)

Results

1.4s	7279×	1	valid
149.0ms	705×	2	valid
18.0ms	272×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-atan: 377.0ms (31.6% of total)

ival-sub: 356.0ms (29.8% of total)

ival-add: 144.0ms (12.1% of total)

ival->: 125.0ms (10.5% of total)

backward-pass: 123.0ms (10.3% of total)

ival-<: 28.0ms (2.3% of total)

ival-and: 23.0ms (1.9% of total)

const: 18.0ms (1.5% of total)

Bogosity

preprocess80.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

84×	`fma-define`
66×	`fma-neg`
32×	`sub-neg`
22×	`unsub-neg`
20×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	128
1	33	120
2	61	116
3	107	116
4	173	116
5	266	116
6	344	116
7	402	116
8	453	116
9	488	116
10	514	116
11	516	116

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 (neg.f64 N) #s(literal 1 binary64))) (atan.f64 (neg.f64 N)))
(neg.f64 (-.f64 (atan.f64 (+.f64 (neg.f64 N) #s(literal 1 binary64))) (atan.f64 (neg.f64 N))))

Outputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 (neg.f64 N) #s(literal 1 binary64))) (atan.f64 (neg.f64 N)))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (neg.f64 N))) (atan.f64 (neg.f64 N)))
(-.f64 (atan.f64 (-.f64 #s(literal 1 binary64) N)) (atan.f64 (neg.f64 N)))
(neg.f64 (-.f64 (atan.f64 (+.f64 (neg.f64 N) #s(literal 1 binary64))) (atan.f64 (neg.f64 N))))
(neg.f64 (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (neg.f64 N))) (atan.f64 (neg.f64 N))))
(neg.f64 (-.f64 (atan.f64 (-.f64 #s(literal 1 binary64) N)) (atan.f64 (neg.f64 N))))
(-.f64 (atan.f64 (neg.f64 N)) (atan.f64 (-.f64 #s(literal 1 binary64) N)))

explain121.0ms (1.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
253	-	1	(4.885692208941172)	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
0	-	0	-	`(atan.f64 (+.f64 N #s(literal 1 binary64)))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(atan.f64 N)`
0	-	0	-	`(+.f64 N #s(literal 1 binary64))`
0	-	0	-	`N`

Results

80.0ms	444×	1	valid
10.0ms	48×	2	valid
1.0ms	20×	0	valid

Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-atan: 26.0ms (47.9% of total)

ival-add: 12.0ms (22.1% of total)

backward-pass: 9.0ms (16.6% of total)

ival-sub: 6.0ms (11.1% of total)

const: 1.0ms (1.8% of total)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.7%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

localize75.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(atan.f64 N)
✓	cost-diff	0	(+.f64 N #s(literal 1 binary64))
✓	cost-diff	0	(atan.f64 (+.f64 N #s(literal 1 binary64)))
✓	cost-diff	0	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
✓	accuracy	100.0%	(+.f64 N #s(literal 1 binary64))
✓	accuracy	100.0%	(atan.f64 (+.f64 N #s(literal 1 binary64)))
✓	accuracy	100.0%	(atan.f64 N)
✓	accuracy	8.7%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Rules

39×	`fma-define`
32×	`fma-neg`
12×	`sub-neg`
10×	`distribute-rgt-in`
10×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	64
1	19	64
2	23	64
3	31	64
4	40	64
5	57	64
6	94	64
7	130	64
8	180	64
9	215	64
10	241	64
11	243	64

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(atan.f64 N)

Outputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(atan.f64 N)

Results

39.0ms	222×	1	valid
11.0ms	24×	2	valid
1.0ms	10×	0	valid

Compiler

Compiled 20 to 7 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-atan: 22.0ms (65.3% of total)

backward-pass: 4.0ms (11.9% of total)

ival-add: 3.0ms (8.9% of total)

ival-sub: 3.0ms (8.9% of total)

const: 1.0ms (3% of total)

series4.0ms (0.1%)

Counts

4 → 36

Calls

Call 1

Inputs
#<alt (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))>
#<alt (atan.f64 N)>
#<alt (atan.f64 (+.f64 N #s(literal 1 binary64)))>
#<alt (+.f64 N #s(literal 1 binary64))>

Outputs
#<alt (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))>
#<alt (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))>
#<alt (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))>
#<alt (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))>
#<alt (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))>
#<alt (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))>
#<alt (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))>
#<alt (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))>
#<alt (-.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))) (atan.f64 N))>
#<alt (-.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))) (atan.f64 N))>
#<alt (-.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))) (atan.f64 N))>
#<alt (-.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))) (atan.f64 N))>
#<alt (atan.f64 (+.f64 #s(literal 1 binary64) N))>
#<alt (atan.f64 (+.f64 #s(literal 1 binary64) N))>
#<alt (atan.f64 (+.f64 #s(literal 1 binary64) N))>
#<alt (atan.f64 (+.f64 #s(literal 1 binary64) N))>
#<alt (atan.f64 (+.f64 #s(literal 1 binary64) N))>
#<alt (atan.f64 (+.f64 #s(literal 1 binary64) N))>
#<alt (atan.f64 (+.f64 #s(literal 1 binary64) N))>
#<alt (atan.f64 (+.f64 #s(literal 1 binary64) N))>
#<alt (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))>
#<alt (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))>
#<alt (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))>
#<alt (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) N)>
#<alt (+.f64 #s(literal 1 binary64) N)>
#<alt (+.f64 #s(literal 1 binary64) N)>
#<alt N>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt N>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	N	@	-inf	(- (atan (+ N 1)) (atan N))
0.0ms	N	@	inf	(+ N 1)
0.0ms	N	@	0	(- (atan (+ N 1)) (atan N))
0.0ms	N	@	inf	(- (atan (+ N 1)) (atan N))
0.0ms	N	@	-inf	(atan (+ N 1))

rewrite237.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

708×	`log1p-expm1-u`
708×	`expm1-log1p-u`
688×	`prod-diff`
322×	`fma-define`
303×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	59
1	135	59
2	1890	59

Stop Event

1×	node limit

Counts

4 → 193

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan.f64 N)
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))

Outputs
(+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (neg.f64 (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (*.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64)))
(+.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 2 binary64)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (fma.f64 #s(literal -1 binary64) (atan.f64 N) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 2 binary64))) (cbrt.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 #s(literal 0 binary64) (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)))) (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))))
(*.f64 #s(literal 1 binary64) (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)))
(*.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #s(literal 1 binary64))
(*.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))
(*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))
(*.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (sqrt.f64 (atan.f64 N))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64)))) (neg.f64 (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (atan.f64 N)) #s(literal 3 binary64))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N))) (.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (neg.f64 (atan.f64 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N)))) (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (neg.f64 (atan.f64 N))))
(pow.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)))))
(log.f64 (*.f64 (exp.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (atan.f64 N)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (exp.f64 (atan.f64 N)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))) (exp.f64 (neg.f64 (atan.f64 N)))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (atan.f64 N))) (exp.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (atan.f64 N))) (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (atan.f64 N))) (exp.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (atan.f64 N))) (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))))))
(log.f64 (/.f64 (exp.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 N)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))) (exp.f64 (atan.f64 N))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 N)))))
(cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))
(atan2.f64 (+.f64 N (-.f64 #s(literal 1 binary64) N)) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))
(exp.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))
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(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log1p.f64 N)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 N)) #s(literal 2 binary64)))
(fma.f64 N #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64))
(fma.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) (cbrt.f64 N) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) (*.f64 (cbrt.f64 N) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) #s(literal 1 binary64)) #s(literal 1 binary64))

simplify144.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

369×	`distribute-lft-in`
348×	`fma-neg`
330×	`prod-exp`
312×	`distribute-rgt-in`
255×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	387	6237
1	776	6093
2	2146	5909
3	7707	5909

Stop Event

1×	node limit

Counts

229 → 220

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))) (atan.f64 N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))
(atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))
(atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))
(atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) N)
N
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
N
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (neg.f64 (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (*.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64)))
(+.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 2 binary64)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (fma.f64 #s(literal -1 binary64) (atan.f64 N) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 2 binary64))) (cbrt.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 #s(literal 0 binary64) (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)))) (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))))
(*.f64 #s(literal 1 binary64) (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)))
(*.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #s(literal 1 binary64))
(*.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))
(*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))
(*.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (sqrt.f64 (atan.f64 N))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64)))) (neg.f64 (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (atan.f64 N)) #s(literal 3 binary64))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N))) (.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (neg.f64 (atan.f64 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N)))) (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (neg.f64 (atan.f64 N))))
(pow.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)))))
(log.f64 (*.f64 (exp.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (atan.f64 N)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (exp.f64 (atan.f64 N)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))) (exp.f64 (neg.f64 (atan.f64 N)))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (atan.f64 N))) (exp.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (atan.f64 N))) (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (atan.f64 N))) (exp.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (atan.f64 N))) (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))))))
(log.f64 (/.f64 (exp.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 N)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))) (exp.f64 (atan.f64 N))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 N)))))
(cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))
(atan2.f64 (+.f64 N (-.f64 #s(literal 1 binary64) N)) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))
(exp.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (atan.f64 (+.f64 N #s(literal 1 binary64))) (neg.f64 (atan.f64 N)))
(fma.f64 #s(literal 1 binary64) (atan.f64 (+.f64 N #s(literal 1 binary64))) (*.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64) (atan.f64 N)))
(fma.f64 #s(literal 1 binary64) (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 2 binary64)) (atan.f64 N)))
(fma.f64 #s(literal 1 binary64) (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(fma.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64) (neg.f64 (atan.f64 N)))
(fma.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #s(literal 1 binary64) (fma.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64) (atan.f64 N)))
(fma.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 2 binary64)) (atan.f64 N)))
(fma.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #s(literal 1 binary64) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (cbrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (neg.f64 (atan.f64 N)))
(fma.f64 (cbrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (neg.f64 (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (*.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64) (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 2 binary64)) (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) #s(literal 2 binary64)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64) (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 2 binary64)) (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (sqrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (neg.f64 (atan.f64 N)))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (sqrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (*.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (atan.f64 N)) (neg.f64 (sqrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64) (atan.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 2 binary64)) (atan.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 2 binary64)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 2 binary64)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (atan.f64 N))) (cbrt.f64 (neg.f64 (atan.f64 N)))) (cbrt.f64 (neg.f64 (atan.f64 N))) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (neg.f64 (atan.f64 N))) (sqrt.f64 (neg.f64 (atan.f64 N))) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64) (atan.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 2 binary64)) (atan.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (sqrt.f64 (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 2 binary64))) (cbrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (atan.f64 N))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan.f64 N))) (cbrt.f64 (exp.f64 (atan.f64 N))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 N)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 N)))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 N)))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 N))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (atan.f64 N))
(*.f64 (atan.f64 N) #s(literal 1 binary64))
(*.f64 (atan.f64 N) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (atan.f64 N)) (pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 2 binary64)) (cbrt.f64 (atan.f64 N)))
(*.f64 (sqrt.f64 (atan.f64 N)) (sqrt.f64 (atan.f64 N)))
(pow.f64 (atan.f64 N) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (atan.f64 N)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)))
(log.f64 (exp.f64 (atan.f64 N)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 N))))
(cbrt.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (atan.f64 N)))
(log1p.f64 (expm1.f64 (atan.f64 N)))
(exp.f64 (log.f64 (atan.f64 N)))
(exp.f64 (*.f64 (log.f64 (atan.f64 N)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 N))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (atan.f64 N))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 N))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(*.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (sqrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))))
(pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))))
(exp.f64 (log.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 N #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
(*.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 N #s(literal 1 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (+.f64 N #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 N #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (+.f64 N #s(literal 1 binary64))) (sqrt.f64 (+.f64 N #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(*.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal 2 binary64)) N)))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (neg.f64 (+.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) N))
(pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 N #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 N #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 N #s(literal 1 binary64))))
(hypot.f64 (sqrt.f64 (+.f64 N #s(literal 1 binary64))) (sqrt.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))
(hypot.f64 (sqrt.f64 (+.f64 N #s(literal 1 binary64))) (*.f64 (sqrt.f64 (+.f64 N #s(literal 1 binary64))) (sqrt.f64 N)))
(hypot.f64 (sqrt.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (sqrt.f64 (+.f64 N #s(literal 1 binary64))))
(hypot.f64 (*.f64 (sqrt.f64 (+.f64 N #s(literal 1 binary64))) (sqrt.f64 N)) (sqrt.f64 (+.f64 N #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 N #s(literal 1 binary64))))
(exp.f64 (log1p.f64 N))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log1p.f64 N)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log1p.f64 N)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 N)) #s(literal 2 binary64)))
(fma.f64 N #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64))
(fma.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) (cbrt.f64 N) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) (*.f64 (cbrt.f64 N) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) #s(literal 1 binary64)) #s(literal 1 binary64))

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

eval29.0ms (0.4%)

Compiler: Compiled 3282 to 585 computations (82.2% saved)

prune40.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	217	3	220
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	217	4	221

Accuracy

99.6%

Counts

221 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
✓	8.7%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
▶	4.1%	(-.f64 (atan.f64 N) (atan.f64 N))
▶	6.3%	(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))

Compiler

Compiled 31 to 20 computations (35.5% saved)

localize136.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) N)
✓	cost-diff	0	(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
	cost-diff	0	(atan.f64 N)
✓	cost-diff	12928	(-.f64 (atan.f64 N) (atan.f64 N))
	cost-diff	0	(atan.f64 N)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) N)
✓	cost-diff	0	(atan.f64 (+.f64 #s(literal 1 binary64) N))
✓	cost-diff	0	(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) N)
✓	accuracy	100.0%	(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
✓	accuracy	100.0%	(-.f64 (atan.f64 N) (atan.f64 N))
	accuracy	100.0%	(atan.f64 N)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) N)
✓	accuracy	100.0%	(atan.f64 (+.f64 #s(literal 1 binary64) N))
	accuracy	100.0%	(atan.f64 N)
✓	accuracy	100.0%	(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))

Rules

42×	`fma-define`
38×	`fma-neg`
16×	`sub-neg`
10×	`distribute-rgt-in`
9×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	140
1	26	140
2	38	140
3	54	140
4	72	140
5	89	140
6	98	140
7	110	140
8	128	140
9	135	140
10	154	140
11	191	140
12	224	140
13	249	140
14	257	140

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(+.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
(atan.f64 N)
(-.f64 (atan.f64 N) (atan.f64 N))
(atan.f64 N)
N
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
N
(+.f64 #s(literal 1 binary64) N)

Outputs
(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(+.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
(atan.f64 N)
(-.f64 (atan.f64 N) (atan.f64 N))
#s(literal 0 binary64)
(atan.f64 N)
N
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
N
(+.f64 #s(literal 1 binary64) N)

Results

97.0ms

256×

valid

Compiler

Compiled 47 to 10 computations (78.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-atan: 18.0ms (31.1% of total)

backward-pass: 17.0ms (29.4% of total)

ival-add: 8.0ms (13.8% of total)

ival-fma: 7.0ms (12.1% of total)

ival-sub: 4.0ms (6.9% of total)

ival-atan2: 4.0ms (6.9% of total)

const: 1.0ms (1.7% of total)

series6.0ms (0.1%)

Counts

6 → 61

Calls

Call 1

Inputs
#<alt (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))>
#<alt (atan.f64 (+.f64 #s(literal 1 binary64) N))>
#<alt (+.f64 #s(literal 1 binary64) N)>
#<alt (-.f64 (atan.f64 N) (atan.f64 N))>
#<alt (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))>
#<alt (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))>

Outputs
#<alt (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))>
#<alt (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))>
#<alt (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))>
#<alt (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))>
#<alt (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))>
#<alt (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))>
#<alt (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))>
#<alt (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))>
#<alt (+.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))>
#<alt (+.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))>
#<alt (+.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))>
#<alt (+.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))>
#<alt (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))>
#<alt (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))>
#<alt (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))>
#<alt (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))>
#<alt #s(literal 1 binary64)>
#<alt N>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt N>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) N)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	N	@	-inf	(+ (* N (+ 1 N)) 1)
0.0ms	N	@	inf	(+ (* N (+ 1 N)) 1)
0.0ms	N	@	inf	(atan2 1 (+ (* N (+ 1 N)) 1))
0.0ms	N	@	-inf	(atan2 1 (+ (* N (+ 1 N)) 1))
0.0ms	N	@	0	(+ (* N (+ 1 N)) 1)

rewrite119.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

961×	`log1p-expm1-u`
961×	`expm1-log1p-u`
415×	`log-prod`
414×	`fma-define`
212×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	100
1	209	100
2	2677	100

Stop Event

1×	node limit

Counts

6 → 155

Calls

Call 1

Inputs
(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(+.f64 #s(literal 1 binary64) N)
(-.f64 (atan.f64 N) (atan.f64 N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))

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

simplify124.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

435×	`distribute-lft-in`
386×	`distribute-rgt-in`
282×	`div-sub`
266×	`sub-neg`
259×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	342	6040
1	656	5425
2	1799	5407
3	6270	5407

Stop Event

1×	node limit

Counts

216 → 194

Calls

Call 1

Inputs
(+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(+.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))
(+.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))
(+.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))
(+.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))
(atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))
(atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))
(atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))
(atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))
#s(literal 1 binary64)
N
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
N
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))))
(*.f64 #s(literal 1 binary64) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
(*.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) (pow.f64 (cbrt.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))))
(*.f64 (sqrt.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) (sqrt.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))))
(*.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (fma.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64)))) (neg.f64 (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))))
(/.f64 (-.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))))
(pow.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))))
(log.f64 (*.f64 (exp.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 N)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)))) (exp.f64 (atan.f64 N))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 N)))))
(log.f64 (*.f64 (exp.f64 (atan.f64 N)) (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 N))) (exp.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 N))) (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))))))
(cbrt.f64 (pow.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))))
(atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))))
(exp.f64 (log.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))))
(exp.f64 (*.f64 (log.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(fma.f64 #s(literal 1 binary64) (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(fma.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64) (atan.f64 N))
(fma.f64 (atan.f64 N) #s(literal 1 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(fma.f64 (cbrt.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (atan.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (cbrt.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N))
(fma.f64 (cbrt.f64 (atan.f64 N)) (pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 2 binary64)) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 2 binary64)) (cbrt.f64 (atan.f64 N)) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) (sqrt.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N))
(fma.f64 (sqrt.f64 (atan.f64 N)) (sqrt.f64 (atan.f64 N)) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(+.f64 #s(literal 0 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)))) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (cbrt.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))))
(*.f64 (sqrt.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) (sqrt.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))))
(pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)))))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))))
(exp.f64 (log.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (/.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) N)))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
(*.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) N)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) N)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) (sqrt.f64 (+.f64 #s(literal 1 binary64) N)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) N))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) N)))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) N)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) N))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) N)))
(hypot.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) (hypot.f64 N (sqrt.f64 N)))
(hypot.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) (*.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 #s(literal 1 binary64) N))))
(hypot.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) (sqrt.f64 N)))
(hypot.f64 (hypot.f64 N (sqrt.f64 N)) (sqrt.f64 (+.f64 #s(literal 1 binary64) N)))
(hypot.f64 (*.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 #s(literal 1 binary64) N))) (sqrt.f64 (+.f64 #s(literal 1 binary64) N)))
(hypot.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) (sqrt.f64 N)) (sqrt.f64 (+.f64 #s(literal 1 binary64) N)))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) N)))
(exp.f64 (log1p.f64 N))
(fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64))
(fma.f64 N #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) (cbrt.f64 N) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64))
#s(literal 0 binary64)
(+.f64 #s(literal 0 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) (cbrt.f64 (exp.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+.f64 #s(literal 0 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
(+.f64 (fma.f64 N N N) (log.f64 (exp.f64 #s(literal 1 binary64))))
(+.f64 (*.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (cbrt.f64 (exp.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(*.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))) (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) #s(literal 1 binary64)))

Outputs
(+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
#s(literal 1 binary64)
N
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(+.f64 N #s(literal 1 binary64))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(+.f64 N #s(literal 1 binary64))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(+.f64 N #s(literal 1 binary64))
N
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(+.f64 N #s(literal 1 binary64))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(+.f64 N #s(literal 1 binary64))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(+.f64 N #s(literal 1 binary64))
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) N)
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(+.f64 N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (pow.f64 N #s(literal 2 binary64)))
(fma.f64 N N N)
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (pow.f64 N #s(literal 2 binary64)))
(fma.f64 N N N)
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
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(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))) (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) (*.f64 (pow.f64 N #s(literal 2 binary64)) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))) #s(literal 2 binary64))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(log.f64 (exp.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 3 binary64)))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) #s(literal 1 binary64)))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))

eval47.0ms (0.7%)

Compiler: Compiled 4003 to 765 computations (80.9% saved)

prune50.0ms (0.8%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	303	18	321
Fresh	0	0	0
Picked	3	0	3
Done	1	0	1
Total	307	18	325

Accuracy

99.9%

Counts

325 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.0%	(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64))
	97.6%	(pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 3 binary64))
	99.0%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N (fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64)) #s(literal 1 binary64)))
▶	99.0%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) #s(literal 1 binary64)))
	99.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))) #s(literal 1 binary64)))
	99.1%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 3 binary64))) #s(literal 1 binary64)))
▶	96.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
	98.1%	(atan2.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64)))
	92.9%	(atan2.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
▶	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
	7.9%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
	96.4%	(atan2.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
▶	99.5%	(atan2.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))))
	97.6%	(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
	50.5%	(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64)))
▶	4.1%	#s(literal 0 binary64)

Compiler

Compiled 406 to 248 computations (38.9% saved)

localize311.0ms (4.8%)

Algorithm

1×	egg-herbie

Localize:

Found 26 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (+.f64 #s(literal 1 binary64) N))
✓	cost-diff	12864	(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))
✓	cost-diff	12864	(fma.f64 N (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) #s(literal 1 binary64))
✓	cost-diff	12864	(atan2.f64 #s(literal 1 binary64) (fma.f64 N (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	128	(+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))
✓	cost-diff	6912	(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
✓	cost-diff	6912	(atan2.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))))
✓	cost-diff	0	(fma.f64 N N N)
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
✓	cost-diff	0	(fma.f64 N N N)
✓	cost-diff	0	(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
	accuracy	100.0%	(+.f64 #s(literal 1 binary64) N)
✓	accuracy	100.0%	(sqrt.f64 (+.f64 #s(literal 1 binary64) N))
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.1%	(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))
✓	accuracy	99.9%	(+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))
✓	accuracy	99.9%	(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
✓	accuracy	100.0%	(fma.f64 N N N)
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
✓	accuracy	100.0%	(fma.f64 N N N)
✓	accuracy	100.0%	(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))

Rules

884×	`fma-define`
828×	`cube-prod`
524×	`distribute-lft-out`
435×	`associate-r`
389×	`cube-div`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	26	403
1	49	365
2	97	365
3	240	365
4	468	365
5	703	353
6	2195	353
7	3654	353
8	4869	353
9	6156	353
10	7051	353
11	7847	353

Stop Event

1×	node limit

Calls

Call 1

Inputs
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
(fma.f64 N N N)
N
#s(literal 0 binary64)
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
#s(literal 1 binary64)
(fma.f64 N N N)
N
(atan2.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))))
#s(literal 1 binary64)
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(pow.f64 N #s(literal 2 binary64))
N
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 N (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) #s(literal 1 binary64))
N
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) N))
(+.f64 #s(literal 1 binary64) N)
#s(literal 2 binary64)

Outputs
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(fma.f64 N N N)
N
#s(literal 0 binary64)
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
#s(literal 1 binary64)
(fma.f64 N N N)
N
(atan2.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
#s(literal 1 binary64)
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(pow.f64 N #s(literal 2 binary64))
N
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) N) (pow.f64 N #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) N) (pow.f64 N #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 N (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
N
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) N)
(sqrt.f64 (+.f64 #s(literal 1 binary64) N))
(+.f64 #s(literal 1 binary64) N)
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))
#s(literal 2 binary64)

Results

134.0ms	252×	0	valid
6.0ms	4×	5	exit

Compiler

Compiled 137 to 21 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-atan2: 9.0ms (21.4% of total)

ival-fma: 7.0ms (16.7% of total)

ival-div: 6.0ms (14.3% of total)

ival-pow: 6.0ms (14.3% of total)

ival-add: 5.0ms (11.9% of total)

ival-sqrt: 4.0ms (9.5% of total)

ival-mult: 2.0ms (4.8% of total)

const: 1.0ms (2.4% of total)

backward-pass: 1.0ms (2.4% of total)

series23.0ms (0.4%)

Counts

13 → 124

Calls

Call 1

Inputs
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))>
#<alt (+.f64 (fma.f64 N N N) #s(literal 1 binary64))>
#<alt (fma.f64 N N N)>
#<alt (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))>
#<alt (atan2.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))>
#<alt (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))>
#<alt (atan2.f64 #s(literal 1 binary64) (fma.f64 N (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) #s(literal 1 binary64)))>
#<alt (sqrt.f64 (+.f64 #s(literal 1 binary64) N))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))>
#<alt (fma.f64 N (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) #s(literal 1 binary64))>

Outputs
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) N)))>
#<alt (atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) N)))>
#<alt (atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) N)))>
#<alt (atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) N)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) N)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt N>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) N))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) N))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) N))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))>
#<alt (atan2.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) N)))>
#<alt (atan2.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) N)))>
#<alt (atan2.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) N)))>
#<alt (atan2.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) N)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) N)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) N) (pow.f64 N #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) N) (pow.f64 N #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) N) (pow.f64 N #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) N)>
#<alt (+.f64 #s(literal 1 binary64) N)>
#<alt (+.f64 #s(literal 1 binary64) N)>
#<alt N>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt N>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) N))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) N))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1/2 binary64) (.f64 N (-.f64 (*.f64 #s(literal 1/16 binary64) N) #s(literal 1/8 binary64))))))>
#<alt (sqrt.f64 N)>
#<alt (.f64 N (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))))>
#<alt (.f64 N (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))))))>
#<alt (.f64 N (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 7 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 N) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 N (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 N (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 N (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) N) (pow.f64 N #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 N #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 N #s(literal 2 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) N)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>

Calls

39 calls:

Time	Variable		Point	Expression
7.0ms	N	@	inf	(/ 1 (pow N 2))
1.0ms	N	@	-inf	(sqrt (+ 1 N))
1.0ms	N	@	inf	(sqrt (+ 1 N))
0.0ms	N	@	0	(/ 1 (pow N 2))
0.0ms	N	@	inf	(atan2 1 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2))))))

rewrite232.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1088×	`log1p-expm1-u`
511×	`expm1-log1p-u`
176×	`add-exp-log`
176×	`add-cube-cbrt`
175×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	338
1	421	326
2	5729	326

Stop Event

1×	node limit

Counts

13 → 374

Calls

Call 1

Inputs
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
(fma.f64 N N N)
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
(/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
(atan2.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) N))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))
(fma.f64 N (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) #s(literal 1 binary64))

Outputs
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (+.f64 (fma.f64 N N N) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(*.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))) (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal -1 binary64))))
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(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N))) (cbrt.f64 (+.f64 #s(literal 1 binary64) N)))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) N)) (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) N))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) N)))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 N #s(literal 1 binary64))))))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N))))
(hypot.f64 #s(literal 1 binary64) (sqrt.f64 N))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 N)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 N)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log1p.f64 N) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N))))
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (hypot.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 N #s(literal -1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (hypot.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 N #s(literal -1/2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 N #s(literal -6 binary64))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))) (-.f64 (pow.f64 N #s(literal -4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (pow.f64 N #s(literal -2 binary64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))) (pow.f64 N #s(literal -4 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (pow.f64 N #s(literal -2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (hypot.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 N #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)))))
(exp.f64 (log1p.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N))))
(exp.f64 (*.f64 (log1p.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))
(fma.f64 (hypot.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 N #s(literal -1/2 binary64))) (hypot.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 N #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
(+.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) N))
(+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (+.f64 (fma.f64 N N N) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(*.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))) (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 N N N) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 N N N))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (fma.f64 N N N) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) #s(literal 1 binary64)))

simplify359.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

525×	`fma-neg`
299×	`distribute-lft-neg-in`
289×	`distribute-rgt-neg-in`
250×	`sub-neg`
247×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	744	16098
1	1550	14597
2	4984	14338

Stop Event

1×	node limit

Counts

498 → 454

Calls

Call 1

Inputs
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) N)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
N
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
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(atan2.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) N)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) N)
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#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) N)
N
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
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N
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#s(literal 1 binary64)
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(sqrt.f64 N)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 N #s(literal -6 binary64))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))) (-.f64 (pow.f64 N #s(literal -4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (pow.f64 N #s(literal -2 binary64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))) (pow.f64 N #s(literal -4 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (pow.f64 N #s(literal -2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (hypot.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 N #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)))))
(exp.f64 (log1p.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N))))
(exp.f64 (*.f64 (log1p.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))
(fma.f64 (hypot.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 N #s(literal -1/2 binary64))) (hypot.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 N #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
(+.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) N))
(+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (+.f64 (fma.f64 N N N) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(*.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))) (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 N N N) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 N N N))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (fma.f64 N N N) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) #s(literal 1 binary64)))

Outputs
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 N N N)
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 N N N)
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
N
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 N N N)
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 N N N)
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 N N N)
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 N N N)
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 N N N)
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 N N N)
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 N N N)
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 N N N)
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 N N N)
(atan2.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
(atan2.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
(atan2.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
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(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
#s(literal 1 binary64)
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(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
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#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) N)
N
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(+.f64 #s(literal 1 binary64) N)
N
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(+.f64 #s(literal 1 binary64) N)
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#s(literal 1 binary64)
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(sqrt.f64 N)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 N #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N))))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 N #s(literal -2 binary64))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 N #s(literal -2 binary64))))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)))))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 N #s(literal -2 binary64))))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 N #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 N #s(literal -2 binary64))))
(exp.f64 (log1p.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 N #s(literal -2 binary64))))
(exp.f64 (*.f64 (log1p.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 N #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 N #s(literal -2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 N #s(literal -2 binary64))))
(fma.f64 (hypot.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 N #s(literal -1/2 binary64))) (hypot.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 N #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 N #s(literal -2 binary64))))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(+.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (+.f64 (fma.f64 N N N) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 N N N))))
(+.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (+.f64 N (fma.f64 N N #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(+.f64 (/.f64 (pow.f64 (hypot.f64 N (sqrt.f64 N)) #s(literal 4 binary64)) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(*.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 2 binary64)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))) (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (-.f64 (pow.f64 (hypot.f64 N (sqrt.f64 N)) #s(literal 4 binary64)) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 N N N))) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (+.f64 N (fma.f64 N N #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (hypot.f64 N (sqrt.f64 N)) #s(literal 4 binary64))) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (-.f64 (pow.f64 (hypot.f64 N (sqrt.f64 N)) #s(literal 4 binary64)) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 N N N) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 N N N))) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (+.f64 N (fma.f64 N N #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (hypot.f64 N (sqrt.f64 N)) #s(literal 4 binary64))) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (-.f64 (pow.f64 (hypot.f64 N (sqrt.f64 N)) #s(literal 4 binary64)) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 N N N))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (-.f64 (pow.f64 (hypot.f64 N (sqrt.f64 N)) #s(literal 4 binary64)) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 N N N))) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (+.f64 N (fma.f64 N N #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (hypot.f64 N (sqrt.f64 N)) #s(literal 4 binary64))) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (-.f64 (pow.f64 (hypot.f64 N (sqrt.f64 N)) #s(literal 4 binary64)) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (fma.f64 N N N) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 N N N))) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (+.f64 N (fma.f64 N N #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (hypot.f64 N (sqrt.f64 N)) #s(literal 4 binary64))) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 N N N))) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (+.f64 N (fma.f64 N N #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (hypot.f64 N (sqrt.f64 N)) #s(literal 4 binary64))) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))) #s(literal 2 binary64))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(log.f64 (exp.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 3 binary64)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) #s(literal 1 binary64)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))

eval77.0ms (1.2%)

Compiler: Compiled 9807 to 2084 computations (78.7% saved)

prune125.0ms (1.9%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	528	17	545
Fresh	11	2	13
Picked	3	2	5
Done	0	0	0
Total	542	21	563

Accuracy

99.9%

Counts

563 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.9%	(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 2 binary64))
	94.6%	(pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 3 binary64))
	99.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))) #s(literal 1 binary64)))
▶	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 N #s(literal 1 binary64)))))) #s(literal 1 binary64)))
	92.9%	(atan2.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
▶	73.3%	(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) N) N) (+.f64 N #s(literal -1 binary64))))
	96.3%	(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N)))
	73.2%	(atan2.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 N #s(literal 1 binary64))))))
	76.6%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 N N N) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)))))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) N)))
▶	96.4%	(atan2.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal 2 binary64)) N))
	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
▶	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64)))
	7.9%	(atan2.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
	96.4%	(atan2.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) N) N))
	95.9%	(atan2.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 N) (.f64 (sqrt.f64 N) (+.f64 #s(literal 1 binary64) N))))
▶	7.9%	(atan2.f64 #s(literal 1 binary64) N)
	94.6%	(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 2 binary64)) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))))
	47.3%	(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N)) #s(literal 3 binary64)))
✓	4.1%	#s(literal 0 binary64)

Compiler

Compiled 467 to 293 computations (37.3% saved)

localize239.0ms (3.7%)

Algorithm

1×	egg-herbie

Localize:

Found 32 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 N #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
✓	cost-diff	256	(fma.f64 N (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 N #s(literal 1 binary64)))))) #s(literal 1 binary64))
✓	cost-diff	256	(atan2.f64 #s(literal 1 binary64) (fma.f64 N (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 N #s(literal 1 binary64)))))) #s(literal 1 binary64)))
✓	cost-diff	128	(/.f64 (pow.f64 N #s(literal 4 binary64)) N)
✓	cost-diff	128	(-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) N) N)
✓	cost-diff	128	(/.f64 (-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) N) N) (+.f64 N #s(literal -1 binary64)))
✓	cost-diff	128	(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) N) N) (+.f64 N #s(literal -1 binary64))))
✓	cost-diff	0	(pow.f64 N #s(literal 2 binary64))
✓	cost-diff	64	(+.f64 (pow.f64 N #s(literal 2 binary64)) N)
✓	cost-diff	64	(atan2.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal 2 binary64)) N))
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) N)
✓	cost-diff	-6272	(*.f64 (+.f64 #s(literal 1 binary64) N) N)
✓	cost-diff	-6272	(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64))
✓	cost-diff	-6272	(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64)))
	cost-diff	0	(+.f64 #s(literal 1 binary64) N)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 N #s(literal 1 binary64))))
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 N #s(literal 1 binary64)))))) #s(literal 1 binary64)))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 N #s(literal 1 binary64)))))
✓	accuracy	99.6%	(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 N #s(literal 1 binary64))))))
✓	accuracy	100.0%	(-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) N) N)
✓	accuracy	99.6%	(/.f64 (-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) N) N) (+.f64 N #s(literal -1 binary64)))
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) N) N) (+.f64 N #s(literal -1 binary64))))
✓	accuracy	77.3%	(/.f64 (pow.f64 N #s(literal 4 binary64)) N)
✓	accuracy	100.0%	(pow.f64 N #s(literal 2 binary64))
✓	accuracy	99.9%	(+.f64 (pow.f64 N #s(literal 2 binary64)) N)
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal 2 binary64)) N))
✓	accuracy	100.0%	(atan2.f64 #s(literal 1 binary64) N)
	accuracy	100.0%	(+.f64 #s(literal 1 binary64) N)
✓	accuracy	100.0%	(*.f64 (+.f64 #s(literal 1 binary64) N) N)
✓	accuracy	100.0%	(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64))
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64)))

Rules

793×	`fma-define`
486×	`associate-/r/`
318×	`times-frac`
312×	`fma-neg`
305×	`div-sub`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	34	633
1	64	592
2	107	592
3	229	588
4	458	588
5	794	543
6	2229	543
7	4624	543
8	7927	543

Stop Event

1×	node limit

Calls

Call 1

Inputs
(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) N) N)
(+.f64 #s(literal 1 binary64) N)
N
(atan2.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
(atan2.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal 2 binary64)) N))
#s(literal 1 binary64)
(+.f64 (pow.f64 N #s(literal 2 binary64)) N)
(pow.f64 N #s(literal 2 binary64))
N
#s(literal 2 binary64)
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) N) N) (+.f64 N #s(literal -1 binary64))))
#s(literal 1 binary64)
(/.f64 (-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) N) N) (+.f64 N #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) N) N)
(/.f64 (pow.f64 N #s(literal 4 binary64)) N)
(pow.f64 N #s(literal 4 binary64))
N
#s(literal 4 binary64)
(+.f64 N #s(literal -1 binary64))
#s(literal -1 binary64)
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 N #s(literal 1 binary64)))))) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 N (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 N #s(literal 1 binary64)))))) #s(literal 1 binary64))
N
(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 N #s(literal 1 binary64))))))
(+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
(pow.f64 N #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 N #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 N #s(literal 1 binary64))))
(*.f64 N (-.f64 N #s(literal 1 binary64)))
(-.f64 N #s(literal 1 binary64))

Outputs
(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) N) N)
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(fma.f64 N N N)
(+.f64 #s(literal 1 binary64) N)
N
(atan2.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
(atan2.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal 2 binary64)) N))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
#s(literal 1 binary64)
(+.f64 (pow.f64 N #s(literal 2 binary64)) N)
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(fma.f64 N N N)
(pow.f64 N #s(literal 2 binary64))
N
#s(literal 2 binary64)
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) N) N) (+.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (+.f64 N #s(literal -1 binary64))))
#s(literal 1 binary64)
(/.f64 (-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) N) N) (+.f64 N #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (+.f64 N #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) N) N)
(-.f64 (pow.f64 N #s(literal 3 binary64)) N)
(/.f64 (pow.f64 N #s(literal 4 binary64)) N)
(pow.f64 N #s(literal 3 binary64))
(pow.f64 N #s(literal 4 binary64))
N
#s(literal 4 binary64)
(+.f64 N #s(literal -1 binary64))
#s(literal -1 binary64)
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 N #s(literal 1 binary64)))))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal -1 binary64)))))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 N (pow.f64 N #s(literal 4 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 N (pow.f64 N #s(literal 4 binary64))) (fma.f64 N (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))))
#s(literal 1 binary64)
(fma.f64 N (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 N #s(literal 1 binary64)))))) #s(literal 1 binary64))
(fma.f64 N (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal -1 binary64)))))) #s(literal 1 binary64))
(fma.f64 N (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 N (pow.f64 N #s(literal 4 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 N (pow.f64 N #s(literal 4 binary64))) (fma.f64 N (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))
N
(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 N #s(literal 1 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal -1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
(pow.f64 N #s(literal 3 binary64))
(/.f64 (pow.f64 N #s(literal 4 binary64)) N)
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 N #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 N (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 N #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64))))
(fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 N (-.f64 N #s(literal 1 binary64)))
(*.f64 N (+.f64 N #s(literal -1 binary64)))
(-.f64 (pow.f64 N #s(literal 2 binary64)) N)
(-.f64 N #s(literal 1 binary64))
(+.f64 N #s(literal -1 binary64))

Results

83.0ms	252×	0	valid
9.0ms	4×	5	exit

Compiler

Compiled 185 to 30 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-pow: 17.0ms (30.6% of total)

ival-atan2: 10.0ms (18% of total)

ival-add: 9.0ms (16.2% of total)

ival-div: 6.0ms (10.8% of total)

ival-mult: 6.0ms (10.8% of total)

ival-sub: 3.0ms (5.4% of total)

ival-fma: 3.0ms (5.4% of total)

const: 1.0ms (1.8% of total)

backward-pass: 1.0ms (1.8% of total)

series24.0ms (0.4%)

Counts

18 → 184

Calls

Call 1

Inputs
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64)))>
#<alt (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64))>
#<alt (*.f64 (+.f64 #s(literal 1 binary64) N) N)>
#<alt (atan2.f64 #s(literal 1 binary64) N)>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal 2 binary64)) N))>
#<alt (+.f64 (pow.f64 N #s(literal 2 binary64)) N)>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (/.f64 (pow.f64 N #s(literal 4 binary64)) N)>
#<alt (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) N) N) (+.f64 N #s(literal -1 binary64))))>
#<alt (/.f64 (-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) N) N) (+.f64 N #s(literal -1 binary64)))>
#<alt (-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) N) N)>
#<alt (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 N #s(literal 1 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 N #s(literal 1 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (fma.f64 N (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 N #s(literal 1 binary64)))))) #s(literal 1 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 N #s(literal 1 binary64))))>
#<alt (fma.f64 N (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 N #s(literal 1 binary64)))))) #s(literal 1 binary64))>
#<alt (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))>
#<alt (-.f64 N #s(literal 1 binary64))>

Outputs
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) N)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt N>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) N))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) N))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) N))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))>
#<alt (atan2.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) N)))>
#<alt (atan2.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) N)))>
#<alt (atan2.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) N)))>
#<alt (atan2.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) N)))>
#<alt N>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) N))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) N))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) N))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (pow.f64 N #s(literal 3 binary64))>
#<alt (pow.f64 N #s(literal 3 binary64))>
#<alt (pow.f64 N #s(literal 3 binary64))>
#<alt (pow.f64 N #s(literal 3 binary64))>
#<alt (pow.f64 N #s(literal 3 binary64))>
#<alt (pow.f64 N #s(literal 3 binary64))>
#<alt (pow.f64 N #s(literal 3 binary64))>
#<alt (pow.f64 N #s(literal 3 binary64))>
#<alt (pow.f64 N #s(literal 3 binary64))>
#<alt (pow.f64 N #s(literal 3 binary64))>
#<alt (pow.f64 N #s(literal 3 binary64))>
#<alt (pow.f64 N #s(literal 3 binary64))>
#<alt (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (-.f64 N #s(literal 1 binary64))))>
#<alt (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (-.f64 N #s(literal 1 binary64))))>
#<alt (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (-.f64 N #s(literal 1 binary64))))>
#<alt (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (-.f64 N #s(literal 1 binary64))))>
#<alt (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (-.f64 N #s(literal 1 binary64))))>
#<alt (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (-.f64 N #s(literal 1 binary64))))>
#<alt (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (-.f64 N #s(literal 1 binary64))))>
#<alt (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (-.f64 N #s(literal 1 binary64))))>
#<alt (atan2.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) N) (.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) N) (.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) N) (.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) N) (.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N)))))>
#<alt N>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) N))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) N))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) N))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 #s(literal -1 binary64) N)>
#<alt (*.f64 N (-.f64 (pow.f64 N #s(literal 2 binary64)) #s(literal 1 binary64)))>
#<alt (*.f64 N (-.f64 (pow.f64 N #s(literal 2 binary64)) #s(literal 1 binary64)))>
#<alt (*.f64 N (-.f64 (pow.f64 N #s(literal 2 binary64)) #s(literal 1 binary64)))>
#<alt (pow.f64 N #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))>
#<alt (pow.f64 N #s(literal 3 binary64))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) N)>
#<alt (+.f64 #s(literal 1 binary64) N)>
#<alt (+.f64 #s(literal 1 binary64) N)>
#<alt N>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt N>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) N)>
#<alt (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (pow.f64 N #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (pow.f64 N #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (pow.f64 N #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) N))) (pow.f64 N #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (pow.f64 N #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) #s(literal 1 binary64)) N))) (pow.f64 N #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) #s(literal 1 binary64)) N))) (pow.f64 N #s(literal 2 binary64)))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 N #s(literal 1 binary64)))))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 N #s(literal 1 binary64)))))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 N #s(literal 1 binary64)))))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 N #s(literal 1 binary64)))))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 N (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)) (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 N (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)) (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 N (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)) (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 N (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)) (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) N) (pow.f64 N #s(literal 2 binary64)))))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) N) (pow.f64 N #s(literal 2 binary64)))))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) N) (pow.f64 N #s(literal 2 binary64)))))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) N) (pow.f64 N #s(literal 2 binary64)))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) N)))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N))))>
#<alt (.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) N)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt #s(literal 1 binary64)>
#<alt (pow.f64 N #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))>
#<alt (*.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))>
#<alt (*.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))>
#<alt (pow.f64 N #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))>
#<alt (*.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))>
#<alt (*.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))>
#<alt #s(literal -1 binary64)>
#<alt N>
#<alt (*.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt N>
#<alt (.f64 #s(literal -1 binary64) (.f64 N (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 N (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 N (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))>

Calls

54 calls:

Time	Variable		Point	Expression
2.0ms	N	@	inf	(/ (- (/ (pow N 4) N) N) (+ N -1))
1.0ms	N	@	0	(atan2 1 (+ (* N (* (+ 1 (pow N 3)) (/ 1 (+ 1 (* N (- N 1)))))) 1))
0.0ms	N	@	inf	(atan2 1 (+ (* N (* (+ 1 (pow N 3)) (/ 1 (+ 1 (* N (- N 1)))))) 1))
0.0ms	N	@	0	(* (+ 1 (pow N 3)) (/ 1 (+ 1 (* N (- N 1)))))
0.0ms	N	@	-inf	(atan2 1 (+ (* N (* (+ 1 (pow N 3)) (/ 1 (+ 1 (* N (- N 1)))))) 1))

rewrite145.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

266×	`log1p-expm1-u`
266×	`expm1-log1p-u`
257×	`pow1`
253×	`add-exp-log`
253×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	446
1	600	363

Stop Event

1×	node limit

Counts

18 → 541

Calls

Call 1

Inputs
(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) N) N)
(atan2.f64 #s(literal 1 binary64) N)
(atan2.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal 2 binary64)) N))
(+.f64 (pow.f64 N #s(literal 2 binary64)) N)
(pow.f64 N #s(literal 2 binary64))
(/.f64 (pow.f64 N #s(literal 4 binary64)) N)
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) N) N) (+.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) N) N) (+.f64 N #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) N) N)
(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 N #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 N #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 N #s(literal 1 binary64)))))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 N #s(literal 1 binary64))))
(fma.f64 N (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 N #s(literal 1 binary64)))))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
(-.f64 N #s(literal 1 binary64))

Outputs
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))) (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))))
(*.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 N N N))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 N N N) #s(literal 1 binary64))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 N N N)) #s(literal 1 binary64))
(fma.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)) #s(literal 1 binary64))
(+.f64 N (pow.f64 N #s(literal 2 binary64)))
(+.f64 N (*.f64 (pow.f64 N #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (pow.f64 N #s(literal 2 binary64)) N)
(+.f64 (*.f64 (pow.f64 N #s(literal 2 binary64)) #s(literal 1 binary64)) N)
(-.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (pow.f64 N #s(literal 2 binary64)) N)) (/.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal 2 binary64)) N)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (pow.f64 N #s(literal 2 binary64)) (pow.f64 N #s(literal 3 binary64)))) (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 N #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 2 binary64)) N) (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 N #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 N #s(literal 3 binary64))) (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (pow.f64 N #s(literal 2 binary64)) (pow.f64 N #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 N #s(literal 2 binary64))) (-.f64 (pow.f64 N #s(literal 2 binary64)) N))
(/.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (pow.f64 N #s(literal 2 binary64)) (pow.f64 N #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 N #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 N #s(literal 2 binary64)) N)))
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (+.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 N #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 N #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 N (pow.f64 N #s(literal 2 binary64))))
(/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 N (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) N))
(pow.f64 (fma.f64 N N N) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 N N N)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 N (sqrt.f64 N)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 N N N)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 N N N))))
(cbrt.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (fma.f64 N N N)))
(exp.f64 (+.f64 (log.f64 N) (log1p.f64 N)))
(exp.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) N (pow.f64 N #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)) N)
(fma.f64 N N N)
(fma.f64 (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) (cbrt.f64 N) (pow.f64 N #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 N #s(literal 4 binary64))) (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) N)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (pow.f64 N #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) N))
(*.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) N)) (cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) N) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) N) #s(literal 2 binary64))) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) N)))
(*.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) N)) (sqrt.f64 (atan2.f64 #s(literal 1 binary64) N)))
(pow.f64 (atan2.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)))
(log.f64 (exp.f64 (atan2.f64 #s(literal 1 binary64) N)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan2.f64 #s(literal 1 binary64) N))))
(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) N)))
(log1p.f64 (expm1.f64 (atan2.f64 #s(literal 1 binary64) N)))
(exp.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) N)))
(exp.f64 (*.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(*.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))) (cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N)) #s(literal 2 binary64))) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(*.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))) (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(log1p.f64 (expm1.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(exp.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1 binary64)))
(-.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (pow.f64 N #s(literal 2 binary64)) N)) (/.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal 2 binary64)) N)))
(*.f64 #s(literal 1 binary64) (fma.f64 N N N))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(*.f64 (+.f64 #s(literal 1 binary64) N) N)
(*.f64 (fma.f64 N N N) #s(literal 1 binary64))
(.f64 (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) (.f64 (cbrt.f64 N) (+.f64 #s(literal 1 binary64) N)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64))) (.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) N)) N))
(*.f64 (cbrt.f64 (fma.f64 N N N)) (pow.f64 (cbrt.f64 (fma.f64 N N N)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 N N N)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (fma.f64 N N N)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) N))
(*.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)))
(.f64 (hypot.f64 N (sqrt.f64 N)) (.f64 (hypot.f64 N (sqrt.f64 N)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 N) (.f64 (sqrt.f64 N) (+.f64 #s(literal 1 binary64) N)))
(*.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (pow.f64 N #s(literal 2 binary64)) (pow.f64 N #s(literal 3 binary64))))))
(*.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 N #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal 2 binary64)) N)))
(.f64 (.f64 N (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) N)))
(.f64 (.f64 N (sqrt.f64 (+.f64 #s(literal 1 binary64) N))) (sqrt.f64 (+.f64 #s(literal 1 binary64) N)))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) N) (pow.f64 (cbrt.f64 N) #s(literal 2 binary64))) (cbrt.f64 N))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) N) (sqrt.f64 N)) (sqrt.f64 N))
(.f64 (.f64 N (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 N (/.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (pow.f64 N #s(literal 2 binary64)) (pow.f64 N #s(literal 3 binary64)))) (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 N #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 2 binary64)) N) (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 N #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 N #s(literal 3 binary64))) (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (pow.f64 N #s(literal 2 binary64)) (pow.f64 N #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 N #s(literal 2 binary64))) (-.f64 (pow.f64 N #s(literal 2 binary64)) N))
(/.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (pow.f64 N #s(literal 2 binary64)) (pow.f64 N #s(literal 3 binary64))))))
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 N #s(literal 2 binary64)) N) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) N) N)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 N #s(literal 2 binary64)) N) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 (pow.f64 N #s(literal 2 binary64)) N) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) N) N)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 N #s(literal 2 binary64)) N) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) N) N))))
(/.f64 (+.f64 (pow.f64 (-.f64 (pow.f64 N #s(literal 2 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 (pow.f64 N #s(literal 2 binary64)) N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 N #s(literal 2 binary64)) N) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 N #s(literal 2 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (-.f64 (pow.f64 N #s(literal 2 binary64)) N) #s(literal 1 binary64)))
(pow.f64 (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (-.f64 (pow.f64 N #s(literal 2 binary64)) N)))
(exp.f64 (*.f64 (log1p.f64 (-.f64 (pow.f64 N #s(literal 2 binary64)) N)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal 2 binary64)) N) #s(literal 1 binary64))
(fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (+.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 N #s(literal 2 binary64)) N)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 N #s(literal 2 binary64)) N)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 N #s(literal 2 binary64)) N)) (sqrt.f64 (-.f64 (pow.f64 N #s(literal 2 binary64)) N)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))) (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))))
(*.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 N N N))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (/.f64 (pow.f64 N #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64))) (.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) #s(literal 1 binary64)))
(*.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3/2 binary64))) (hypot.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3/2 binary64))))
(.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3/2 binary64))) (.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3/2 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 N #s(literal 3 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 9 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 N #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 9 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 N #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 N #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(exp.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 N (pow.f64 N #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 N #s(literal 2 binary64)) N #s(literal 1 binary64))
(fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1 binary64))
(+.f64 N #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) N)
(*.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (+.f64 N #s(literal -1 binary64))) (cbrt.f64 (pow.f64 (+.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 N #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 N #s(literal -1 binary64))) (sqrt.f64 (+.f64 N #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
(.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) (.f64 N #s(literal -1 binary64))))))
(*.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)))
(*.f64 (+.f64 (sqrt.f64 N) #s(literal 1 binary64)) (-.f64 (sqrt.f64 N) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) (*.f64 N #s(literal -1 binary64)))) (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N N (+.f64 #s(literal 1 binary64) N)) (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) N) (fma.f64 N N #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) (*.f64 N #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) N))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) N))
(/.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) (*.f64 N #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) N)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal 2 binary64)) (neg.f64 N))))
(pow.f64 (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 N #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 N #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 N))
(log1p.f64 (expm1.f64 (+.f64 N #s(literal -1 binary64))))
(exp.f64 (log.f64 (+.f64 N #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) N #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) (cbrt.f64 N) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal -1 binary64))

simplify327.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

389×	`associate-r`
371×	`times-frac`
370×	`associate-l`
241×	`associate-/r*`
240×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1016	24627
1	2187	21437
2	7863	21437

Stop Event

1×	node limit

Counts

725 → 609

Calls

Call 1

Inputs
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
N
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) N)))
N
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(pow.f64 N #s(literal 3 binary64))
(pow.f64 N #s(literal 3 binary64))
(pow.f64 N #s(literal 3 binary64))
(pow.f64 N #s(literal 3 binary64))
(pow.f64 N #s(literal 3 binary64))
(pow.f64 N #s(literal 3 binary64))
(pow.f64 N #s(literal 3 binary64))
(pow.f64 N #s(literal 3 binary64))
(pow.f64 N #s(literal 3 binary64))
(pow.f64 N #s(literal 3 binary64))
(pow.f64 N #s(literal 3 binary64))
(pow.f64 N #s(literal 3 binary64))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (-.f64 N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (-.f64 N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (-.f64 N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (-.f64 N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (-.f64 N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (-.f64 N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (-.f64 N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (-.f64 N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) N) (.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) N) (.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) N) (.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) N) (.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N)))))
N
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 #s(literal -1 binary64) N)
(*.f64 N (-.f64 (pow.f64 N #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 N (-.f64 (pow.f64 N #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 N (-.f64 (pow.f64 N #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 N #s(literal 3 binary64))
(*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))
(*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))
(*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))
(pow.f64 N #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) N)
N
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
N
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (pow.f64 N #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (pow.f64 N #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (pow.f64 N #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) N))) (pow.f64 N #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (pow.f64 N #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) #s(literal 1 binary64)) N))) (pow.f64 N #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) #s(literal 1 binary64)) N))) (pow.f64 N #s(literal 2 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 N #s(literal 1 binary64)))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 N #s(literal 1 binary64)))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 N #s(literal 1 binary64)))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 N #s(literal 1 binary64)))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 N (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)) (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 N (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)) (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 N (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)) (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 N (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)) (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) N) (pow.f64 N #s(literal 2 binary64)))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) N) (pow.f64 N #s(literal 2 binary64)))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) N) (pow.f64 N #s(literal 2 binary64)))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) N) (pow.f64 N #s(literal 2 binary64)))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) N)))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N))))
(.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
#s(literal 1 binary64)
(pow.f64 N #s(literal 3 binary64))
(*.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(*.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(*.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(pow.f64 N #s(literal 3 binary64))
(*.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(*.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(*.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
#s(literal -1 binary64)
N
(*.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
N
(.f64 #s(literal -1 binary64) (.f64 N (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 N (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 N (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1 binary64))
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(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (-.f64 (pow.f64 N #s(literal 2 binary64)) N)))
(exp.f64 (*.f64 (log1p.f64 (-.f64 (pow.f64 N #s(literal 2 binary64)) N)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal 2 binary64)) N) #s(literal 1 binary64))
(fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (+.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 N #s(literal 2 binary64)) N)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 N #s(literal 2 binary64)) N)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 N #s(literal 2 binary64)) N)) (sqrt.f64 (-.f64 (pow.f64 N #s(literal 2 binary64)) N)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))) (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))))
(*.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 N N N))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (/.f64 (pow.f64 N #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64))) (.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) #s(literal 1 binary64)))
(*.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3/2 binary64))) (hypot.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3/2 binary64))))
(.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3/2 binary64))) (.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3/2 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 N #s(literal 3 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 9 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 N #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 9 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 N #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 N #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(exp.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 N (pow.f64 N #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 N #s(literal 2 binary64)) N #s(literal 1 binary64))
(fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1 binary64))
(+.f64 N #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) N)
(*.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (+.f64 N #s(literal -1 binary64))) (cbrt.f64 (pow.f64 (+.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 N #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 N #s(literal -1 binary64))) (sqrt.f64 (+.f64 N #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
(.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) (.f64 N #s(literal -1 binary64))))))
(*.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)))
(*.f64 (+.f64 (sqrt.f64 N) #s(literal 1 binary64)) (-.f64 (sqrt.f64 N) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) (*.f64 N #s(literal -1 binary64)))) (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N N (+.f64 #s(literal 1 binary64) N)) (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) N) (fma.f64 N N #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) (*.f64 N #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) N))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) N))
(/.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) (*.f64 N #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) N)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal 2 binary64)) (neg.f64 N))))
(pow.f64 (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 N #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 N #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 N))
(log1p.f64 (expm1.f64 (+.f64 N #s(literal -1 binary64))))
(exp.f64 (log.f64 (+.f64 N #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) N #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) (cbrt.f64 N) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal -1 binary64))

Outputs
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 N N N)
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 N N N)
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
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N
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#s(literal 1 binary64)
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(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 N #s(literal 1 binary64)))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 N (pow.f64 N #s(literal 4 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 N #s(literal 1 binary64)))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 N (pow.f64 N #s(literal 4 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 N #s(literal 1 binary64)))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 N (pow.f64 N #s(literal 4 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 N (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)) (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 N (pow.f64 N #s(literal 4 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 N (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)) (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 N (pow.f64 N #s(literal 4 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 N (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)) (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 N (pow.f64 N #s(literal 4 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 N (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)) (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 N (pow.f64 N #s(literal 4 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) N) (pow.f64 N #s(literal 2 binary64)))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 N (pow.f64 N #s(literal 4 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) N) (pow.f64 N #s(literal 2 binary64)))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 N (pow.f64 N #s(literal 4 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) N) (pow.f64 N #s(literal 2 binary64)))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 N (pow.f64 N #s(literal 4 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) N) (pow.f64 N #s(literal 2 binary64)))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 N (pow.f64 N #s(literal 4 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))
(-.f64 #s(literal 1 binary64) N)
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) N))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) N))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) N))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) N))))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)))
(.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) N)))
(.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) N)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 N N N)
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 N N N)
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))
#s(literal 1 binary64)
(pow.f64 N #s(literal 3 binary64))
(*.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
(*.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
(*.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
(pow.f64 N #s(literal 3 binary64))
(*.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
(*.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
(*.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
#s(literal -1 binary64)
N
(*.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)))
(*.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)))
(*.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)))
N
(.f64 #s(literal -1 binary64) (.f64 N (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(*.f64 (neg.f64 N) (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(+.f64 N #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 N (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(*.f64 (neg.f64 N) (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(+.f64 N #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 N (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(*.f64 (neg.f64 N) (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(+.f64 N #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 3 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 2 binary64)))
(fabs.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(log.f64 (exp.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
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(+.f64 N #s(literal -1 binary64))
(log1p.f64 (expm1.f64 (+.f64 N #s(literal -1 binary64))))
(*.f64 (neg.f64 N) (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(+.f64 N #s(literal -1 binary64))
(exp.f64 (log.f64 (+.f64 N #s(literal -1 binary64))))
(*.f64 (neg.f64 N) (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(+.f64 N #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 N) (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(+.f64 N #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) N #s(literal -1 binary64))
(*.f64 (neg.f64 N) (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(+.f64 N #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) (cbrt.f64 N) #s(literal -1 binary64))
(*.f64 (neg.f64 N) (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(+.f64 N #s(literal -1 binary64))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal -1 binary64))
(*.f64 (neg.f64 N) (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(+.f64 N #s(literal -1 binary64))

eval163.0ms (2.5%)

Compiler: Compiled 11772 to 2710 computations (77% saved)

prune343.0ms (5.3%)

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	644	11	655
Fresh	6	8	14
Picked	2	3	5
Done	0	2	2
Total	652	24	676

Accuracy

99.9%

Counts

676 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.9%	(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 2 binary64))
	94.6%	(pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 3 binary64))
	96.3%	(atan2.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (-.f64 (pow.f64 N #s(literal 3 binary64)) N)) #s(literal -1 binary64)))
	96.3%	(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (-.f64 N #s(literal 1 binary64))))
✓	73.3%	(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) N) N) (+.f64 N #s(literal -1 binary64))))
	96.2%	(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64))) N) (+.f64 N #s(literal -1 binary64))))
	73.2%	(atan2.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 N #s(literal 1 binary64))))))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) N)))
	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (+.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)))
	99.0%	(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) N) #s(literal 1 binary64)))
	96.1%	(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 N #s(literal 3/2 binary64)) (sqrt.f64 N)) N))
	99.4%	(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))) N) #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64)))
	96.4%	(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N N) N))
	7.9%	(atan2.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
	96.1%	(atan2.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))))
	96.4%	(atan2.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) N) N))
	96.0%	(atan2.f64 #s(literal 1 binary64) (.f64 (.f64 N (/.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
✓	7.9%	(atan2.f64 #s(literal 1 binary64) N)
	94.6%	(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 2 binary64)) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))))
	75.8%	(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N)) #s(literal 2 binary64))) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))))
	47.3%	(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N)) #s(literal 3 binary64)))
✓	4.1%	#s(literal 0 binary64)

Compiler

Compiled 829 to 342 computations (58.7% saved)

regimes40.0ms (0.6%)

Counts

50 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(atan2.f64 #s(literal 1 binary64) N)
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
(atan2.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) N) N))
(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N N) N))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64)))
(-.f64 (atan.f64 N) (atan.f64 N))
(atan2.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan2.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal 2 binary64)) N))
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (-.f64 N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (+.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64))) N) (+.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) N) N) (+.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 N #s(literal 1 binary64))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 N #s(literal 3/2 binary64)) (sqrt.f64 N)) N))
(atan2.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 N) (.f64 (sqrt.f64 N) (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (-.f64 (pow.f64 N #s(literal 3 binary64)) N)) #s(literal -1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))))
(atan2.f64 #s(literal 1 binary64) (.f64 (.f64 N (/.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 N #s(literal 1 binary64)))))) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N)) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64)))
(atan2.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 3 binary64))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64))
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 N N N) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N)) #s(literal 2 binary64))) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 2 binary64)) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))

Outputs
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))

Calls

2 calls:

27.0ms	N
11.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

Accuracy	Segments	Branch
99.6%	1	`N`
99.6%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes9.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(atan2.f64 #s(literal 1 binary64) N)
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
(atan2.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) N) N))
(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N N) N))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64)))
(-.f64 (atan.f64 N) (atan.f64 N))
(atan2.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan2.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal 2 binary64)) N))

Outputs
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))

Calls

2 calls:

5.0ms	N
4.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

Accuracy	Segments	Branch
99.6%	1	`N`
99.6%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Counts

6 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(atan2.f64 #s(literal 1 binary64) N)
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
(atan2.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) N) N))
(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N N) N))

Outputs
(atan2.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) N) N))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
96.4%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(atan2.f64 #s(literal 1 binary64) N)
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
(atan2.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))

Outputs
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
7.9%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(atan2.f64 #s(literal 1 binary64) N)

Outputs
(atan2.f64 #s(literal 1 binary64) N)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
7.9%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
4.1%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`1-exp`
3×	`+-commutative`
1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	113
1	28	113

Stop Event

1×

saturated

Calls

Call 1

Inputs
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) N) N))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
(atan2.f64 #s(literal 1 binary64) N)
#s(literal 0 binary64)

Outputs
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) N) N))
(atan2.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
(atan2.f64 #s(literal 1 binary64) N)
#s(literal 0 binary64)

soundness757.0ms (11.7%)

Rules

1088×	`log1p-expm1-u`
961×	`log1p-expm1-u`
961×	`expm1-log1p-u`
708×	`log1p-expm1-u`
708×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	338
1	421	326
2	5729	326
0	387	6237
1	776	6093
2	2146	5909
3	7707	5909
0	11	59
1	135	59
2	1890	59
0	342	6040
1	656	5425
2	1799	5407
3	6270	5407
0	15	100
1	209	100
2	2677	100

Stop Event

1×	fuel
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 353 to 119 computations (66.3% saved)

preprocess100.0ms (1.5%)

Compiler: Compiled 106 to 52 computations (50.9% saved)

Iter	Nodes	Cost
0	17	128
1	33	120
2	61	116
3	107	116
4	173	116
5	266	116
6	344	116
7	402	116
8	453	116
9	488	116
10	514	116
11	516	116

Iter	Nodes	Cost
0	11	64
1	19	64
2	23	64
3	31	64
4	40	64
5	57	64
6	94	64
7	130	64
8	180	64
9	215	64
10	241	64
11	243	64

Iter	Nodes	Cost
0	15	140
1	26	140
2	38	140
3	54	140
4	72	140
5	89	140
6	98	140
7	110	140
8	128	140
9	135	140
10	154	140
11	191	140
12	224	140
13	249	140
14	257	140

Iter	Nodes	Cost
0	17	128
1	33	120
2	61	116
3	107	116
4	173	116
5	266	116
6	344	116
7	402	116
8	453	116
9	488	116
10	514	116
11	516	116

Iter	Nodes	Cost
0	11	64
1	19	64
2	23	64
3	31	64
4	40	64
5	57	64
6	94	64
7	130	64
8	180	64
9	215	64
10	241	64
11	243	64

Iter	Nodes	Cost
0	15	140
1	26	140
2	38	140
3	54	140
4	72	140
5	89	140
6	98	140
7	110	140
8	128	140
9	135	140
10	154	140
11	191	140
12	224	140
13	249	140
14	257	140

analyze0.0ms (0%)

sample2.0s (30.3%)

preprocess80.0ms (1.2%)

explain121.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize75.0ms (1.2%)

series4.0ms (0.1%)

rewrite237.0ms (3.7%)

simplify144.0ms (2.2%)

eval29.0ms (0.4%)

prune40.0ms (0.6%)

localize136.0ms (2.1%)

series6.0ms (0.1%)

rewrite119.0ms (1.8%)

simplify124.0ms (1.9%)

eval47.0ms (0.7%)

prune50.0ms (0.8%)

localize311.0ms (4.8%)

series23.0ms (0.4%)

rewrite232.0ms (3.6%)

simplify359.0ms (5.6%)

eval77.0ms (1.2%)

prune125.0ms (1.9%)

localize239.0ms (3.7%)

series24.0ms (0.4%)

rewrite145.0ms (2.2%)

simplify327.0ms (5.1%)

eval163.0ms (2.5%)

prune343.0ms (5.3%)

regimes40.0ms (0.6%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

simplify2.0ms (0%)

soundness757.0ms (11.7%)

preprocess100.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	17	128
1	33	120
2	61	116
3	107	116
4	173	116
5	266	116
6	344	116
7	402	116
8	453	116
9	488	116
10	514	116
11	516	116

Iter	Nodes	Cost
0	11	64
1	19	64
2	23	64
3	31	64
4	40	64
5	57	64
6	94	64
7	130	64
8	180	64
9	215	64
10	241	64
11	243	64

Iter	Nodes	Cost
0	15	140
1	26	140
2	38	140
3	54	140
4	72	140
5	89	140
6	98	140
7	110	140
8	128	140
9	135	140
10	154	140
11	191	140
12	224	140
13	249	140
14	257	140