Metrics for 2atan (example 3.5)

analyze2.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	8.1%	91.9%	0%	0%	0%	0
0%	0%	8.1%	91.9%	0%	0%	0%	1
50%	4.1%	4.1%	91.9%	0%	0%	0%	2
75%	6.1%	2%	91.9%	0%	0%	0%	3
87.5%	7.1%	1%	91.9%	0%	0%	0%	4
93.8%	7.6%	0.5%	91.9%	0%	0%	0%	5
96.9%	7.9%	0.3%	91.9%	0%	0%	0%	6
98.4%	8%	0.1%	91.9%	0%	0%	0%	7
99.2%	8%	0.1%	91.9%	0%	0%	0%	8
99.6%	8.1%	0%	91.9%	0%	0%	0%	9
99.8%	8.1%	0%	91.9%	0%	0%	0%	10
99.9%	8.1%	0%	91.9%	0%	0%	0%	11
100%	8.1%	0%	91.9%	0%	0%	0%	12

Compiler

Compiled 15 to 10 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

...c/correct-round.rkt:125:19: 0.0ms (0% of total)

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

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

ival-sub: 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)

sample1.9s (31.3%)

Results

1.4s	7303×	1	valid
145.0ms	653×	2	valid
33.0ms	300×	0	valid

Precisions

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

ival-atan: 346.0ms (28.3% of total)

ival-add: 296.0ms (24.2% of total)

...c/correct-round.rkt:125:19: 167.0ms (13.7% of total)

backward-pass: 131.0ms (10.7% of total)

ival-sub: 108.0ms (8.8% of total)

ival->: 102.0ms (8.3% of total)

ival-<: 36.0ms (2.9% of total)

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

const: 14.0ms (1.1% of total)

Bogosity

preprocess182.0ms (3%)

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)))

explain117.0ms (1.9%)

FPErrors

Click to see full error table

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

Results

76.0ms	454×	1	valid
8.0ms	38×	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: 21.0ms (38.9% of total)

ival-sub: 14.0ms (25.9% of total)

backward-pass: 9.0ms (16.7% of total)

ival-add: 8.0ms (14.8% of total)

const: 1.0ms (1.9% 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
▶	8.3%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

localize71.0ms (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	8.3%	(-.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

40.0ms	227×	1	valid
4.0ms	19×	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: 23.0ms

ival-atan: 11.0ms (48.7% of total)

backward-pass: 5.0ms (22.1% of total)

ival-add: 3.0ms (13.3% of total)

ival-sub: 3.0ms (13.3% of total)

const: 1.0ms (4.4% 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	(+ N 1)
0.0ms	N	@	-inf	(- (atan (+ N 1)) (atan N))
0.0ms	N	@	0	(- (atan (+ N 1)) (atan N))
0.0ms	N	@	inf	(- (atan (+ N 1)) (atan N))
0.0ms	N	@	-inf	(+ N 1)

rewrite233.0ms (3.9%)

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)))))
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(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))

simplify139.0ms (2.3%)

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)))
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(/.f64 (fma.f64 N N #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 (+.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 #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)

eval28.0ms (0.5%)

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

prune27.0ms (0.4%)

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)))
✓	8.3%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
▶	4.1%	(-.f64 (atan.f64 N) (atan.f64 N))
▶	6.4%	(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))

Compiler

Compiled 31 to 20 computations (35.5% saved)

localize168.0ms (2.8%)

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

122.0ms

256×

valid

Compiler

Compiled 47 to 10 computations (78.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-atan: 31.0ms (37.8% of total)

backward-pass: 23.0ms (28.1% of total)

ival-fma: 9.0ms (11% of total)

ival-add: 8.0ms (9.8% of total)

ival-atan2: 6.0ms (7.3% of total)

ival-sub: 4.0ms (4.9% of total)

const: 1.0ms (1.2% 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)

rewrite118.0ms (1.9%)

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))
(*.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)))

simplify131.0ms (2.2%)

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

eval45.0ms (0.7%)

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

prune50.0ms (0.8%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	302	19	321
Fresh	0	0	0
Picked	3	0	3
Done	1	0	1
Total	306	19	325

Accuracy

99.9%

Counts

325 → 19

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))
▶	97.7%	(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))
	99.2%	(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)))
	98.0%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) #s(literal 1 binary64)))
	99.4%	(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)))
	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) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
	99.2%	(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)))
	96.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
▶	98.2%	(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)))
	82.6%	(atan2.f64 #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))))
	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))))
	8.0%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
	98.2%	(atan2.f64 #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)))))
▶	92.0%	(atan2.f64 #s(literal 1 binary64) (exp.f64 (log1p.f64 (fma.f64 N N N))))
	54.1%	(atan2.f64 #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))))
	92.0%	(exp.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
	56.0%	(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 460 to 284 computations (38.3% saved)

localize148.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 32 expressions of interest:

New	Metric	Score	Program
	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	(cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
✓	cost-diff	12864	(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))
	cost-diff	0	(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
✓	cost-diff	0	(cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
✓	cost-diff	12864	(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64))
✓	cost-diff	12864	(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)))
✓	cost-diff	0	(log1p.f64 (fma.f64 N N N))
✓	cost-diff	6272	(fma.f64 N N N)
✓	cost-diff	12672	(exp.f64 (log1p.f64 (fma.f64 N N N)))
✓	cost-diff	12672	(atan2.f64 #s(literal 1 binary64) (exp.f64 (log1p.f64 (fma.f64 N N N))))
✓	cost-diff	-6272	(*.f64 N (+.f64 #s(literal 1 binary64) N))
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
✓	cost-diff	-6272	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
	cost-diff	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	99.1%	(cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
✓	accuracy	98.9%	(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))
	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) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64)))
✓	accuracy	99.3%	(cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
✓	accuracy	98.9%	(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64))
✓	accuracy	100.0%	(fma.f64 N N N)
✓	accuracy	100.0%	(log1p.f64 (fma.f64 N N N))
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (exp.f64 (log1p.f64 (fma.f64 N N N))))
✓	accuracy	91.8%	(exp.f64 (log1p.f64 (fma.f64 N N N)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
	accuracy	100.0%	(+.f64 #s(literal 1 binary64) N)
✓	accuracy	100.0%	(*.f64 N (+.f64 #s(literal 1 binary64) N))
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))

Rules

22×	`fma-define`
5×	`distribute-lft-in`
4×	`*-lft-identity`
4×	`+-commutative`
4×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	409
1	46	407
2	57	407
3	73	407
4	87	407
5	100	407
6	101	407
7	102	407

Stop Event

1×

saturated

Calls

Call 1

Inputs
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.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)))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
N
(+.f64 #s(literal 1 binary64) N)
#s(literal 0 binary64)
(atan2.f64 #s(literal 1 binary64) (exp.f64 (log1p.f64 (fma.f64 N N N))))
#s(literal 1 binary64)
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(log1p.f64 (fma.f64 N N N))
(fma.f64 N N N)
N
(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)))
#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))
(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))
N
(+.f64 #s(literal 1 binary64) N)
#s(literal 3 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))
(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)))
#s(literal 1 binary64)
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
N
(+.f64 #s(literal 1 binary64) N)
#s(literal 3 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)))
#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))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(fma.f64 N N N)
N
(+.f64 #s(literal 1 binary64) N)
#s(literal 0 binary64)
(atan2.f64 #s(literal 1 binary64) (exp.f64 (log1p.f64 (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)
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(log1p.f64 (fma.f64 N N N))
(fma.f64 N N N)
(*.f64 N (+.f64 #s(literal 1 binary64) N))
N
(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 (+.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))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 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))
N
(+.f64 #s(literal 1 binary64) N)
#s(literal 3 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)))
(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)))
#s(literal 1 binary64)
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
N
(+.f64 #s(literal 1 binary64) N)
#s(literal 3 binary64)

Results

65.0ms

256×

valid

Compiler

Compiled 133 to 20 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-pow: 9.0ms (24.1% of total)

ival-atan2: 7.0ms (18.8% of total)

ival-fma: 6.0ms (16.1% of total)

ival-log1p: 4.0ms (10.7% of total)

ival-exp: 3.0ms (8% of total)

ival-add: 3.0ms (8% of total)

ival-cbrt: 3.0ms (8% of total)

ival-mult: 2.0ms (5.4% of total)

const: 1.0ms (2.7% of total)

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

series24.0ms (0.4%)

Counts

12 → 135

Calls

Call 1

Inputs
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) N))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))>
#<alt (exp.f64 (log1p.f64 (fma.f64 N N N)))>
#<alt (atan2.f64 #s(literal 1 binary64) (exp.f64 (log1p.f64 (fma.f64 N N N))))>
#<alt (log1p.f64 (fma.f64 N N N))>
#<alt (fma.f64 N N N)>
#<alt (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64))>
#<alt (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))>
#<alt (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)))>
#<alt (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))>
#<alt (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #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 (-.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 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)))>
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#<alt #s(literal 1 binary64)>
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#<alt (pow.f64 N #s(literal 2 binary64))>
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#<alt (pow.f64 N #s(literal 2 binary64))>
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#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
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#<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)))))>
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#<alt N>
#<alt (.f64 N (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) N)))>
#<alt (.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) N)))))>
#<alt (.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1/2 binary64) (.f64 N (-.f64 (.f64 #s(literal 1/4 binary64) N) #s(literal 2/3 binary64)))))))>
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#<alt N>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) N))>
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#<alt (*.f64 N (+.f64 #s(literal 1 binary64) N))>
#<alt (pow.f64 N #s(literal 2 binary64))>
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#<alt (pow.f64 N #s(literal 2 binary64))>
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#<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 #s(literal 1 binary64)>
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#<alt (pow.f64 N #s(literal 2 binary64))>
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#<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))))))>
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#<alt (.f64 N (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))) (.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) #s(literal 2 binary64))))))))>
#<alt (.f64 N (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/9 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) #s(literal 5 binary64)))))) (.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) #s(literal 2 binary64)))))))))>
#<alt (.f64 N (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/9 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 5/81 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 9 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) #s(literal 8 binary64)))))) (.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) #s(literal 2 binary64))))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 N (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))))>
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#<alt (.f64 #s(literal -1 binary64) (.f64 N (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/9 binary64) (.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 N #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) #s(literal 5 binary64)))))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 N #s(literal 3 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))))))>
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#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
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#<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)))))>
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#<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 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))>
#<alt (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))>
#<alt (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))>
#<alt (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))>
#<alt (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))))>
#<alt (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))))>
#<alt (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))))>
#<alt (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))))>
#<alt (cbrt.f64 (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 (cbrt.f64 (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 (cbrt.f64 (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 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N))))))>

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	N	@	inf	(cbrt (+ (* N (+ 1 N)) 1))
2.0ms	N	@	0	(cbrt (atan2 1 (+ (* N (+ 1 N)) 1)))
2.0ms	N	@	-inf	(cbrt (+ (* N (+ 1 N)) 1))
2.0ms	N	@	-inf	(cbrt (atan2 1 (+ (* N (+ 1 N)) 1)))
2.0ms	N	@	inf	(cbrt (atan2 1 (+ (* N (+ 1 N)) 1)))

rewrite171.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

863×	`log1p-expm1-u`
863×	`expm1-log1p-u`
674×	`prod-diff`
452×	`fma-define`
176×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	287
1	335	285
2	3263	285

Stop Event

1×	node limit

Counts

12 → 480

Calls

Call 1

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

simplify272.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

517×	`times-frac`
476×	`distribute-lft-in`
442×	`distribute-rgt-in`
217×	`associate-r`
207×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	580	27584
1	1215	26761
2	3264	20223

Stop Event

1×	node limit

Counts

615 → 374

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 (-.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)))))
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)))
#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 (/.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)
(+.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))))))
(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)))
N
(.f64 N (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) N)))
(.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) N)))))
(.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1/2 binary64) (.f64 N (-.f64 (.f64 #s(literal 1/4 binary64) N) #s(literal 2/3 binary64)))))))
(*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)))
(+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) N))
(+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 N #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) N)))
(-.f64 (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 N #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) N))) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))
(+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 #s(literal 1 binary64) N))
(+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 N #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) N)))
(+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) N))) N)) #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)))
#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)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) N))
(+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2/9 binary64) N))))
(+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 #s(literal 2/9 binary64) (*.f64 #s(literal -13/81 binary64) N))))))
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(*.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)))))
(.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/6 binary64)) (.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/6 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 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (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 2 binary64)))) #s(literal 3 binary64)) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(*.f64 (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 1/6 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 1/6 binary64)) #s(literal 3 binary64)))
(.f64 (.f64 (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 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(.f64 (.f64 (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 2 binary64))) (cbrt.f64 (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 2 binary64))))) (cbrt.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(.f64 (.f64 (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 2 binary64))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/6 binary64))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/6 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 (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 2 binary64))) #s(literal 3/2 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 (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)))) (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 2 binary64))))
(*.f64 (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 2 binary64))) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(.f64 (cbrt.f64 (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 2 binary64)))) (.f64 (cbrt.f64 (cbrt.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 2 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)))))
(.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/6 binary64)) (.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/6 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 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (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 2 binary64)))) #s(literal 3 binary64)) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(*.f64 (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 1/6 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 1/6 binary64)) #s(literal 3 binary64)))
(.f64 (.f64 (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 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(.f64 (.f64 (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 2 binary64))) (cbrt.f64 (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 2 binary64))))) (cbrt.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(.f64 (.f64 (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 2 binary64))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/6 binary64))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/6 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)))))
(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 (cbrt.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) (cbrt.f64 (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)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) (cbrt.f64 (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 2 binary64)))))
(*.f64 (cbrt.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 (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))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (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 2 binary64)))) (cbrt.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(*.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/6 binary64)) (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (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 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(*.f64 (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 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 1/3 binary64)))
(pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/3 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 1 binary64))
(pow.f64 (cbrt.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 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (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 2 binary64))))
(log.f64 (exp.f64 (cbrt.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 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(exp.f64 (log.f64 (cbrt.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 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #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 (-.f64 #s(literal 1 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 #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) (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 (-.f64 #s(literal 1 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 #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) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #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)))
(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)
#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)))
(fma.f64 N N N)
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(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
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(cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(*.f64 (pow.f64 (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 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(*.f64 (cbrt.f64 (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 2 binary64)))) (cbrt.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(*.f64 (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 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 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) (cbrt.f64 (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 1/3 binary64))
(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 1 binary64))
(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 (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))
(cbrt.f64 (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 1/6 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))))
(sqrt.f64 (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 2 binary64))))
(log.f64 (exp.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(cbrt.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 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))))
(cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(expm1.f64 (log1p.f64 (cbrt.f64 (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)))) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(exp.f64 (log.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(cbrt.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 1/3 binary64)))
(cbrt.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 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))

eval128.0ms (2.1%)

Compiler: Compiled 10928 to 2197 computations (79.9% saved)

prune108.0ms (1.8%)

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	605	16	621
Fresh	9	5	14
Picked	3	2	5
Done	0	0	0
Total	617	23	640

Accuracy

100.0%

Counts

640 → 23

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))
	97.7%	(pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 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))))) #s(literal 1 binary64)))) #s(literal 3 binary64))
▶	97.7%	(pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal 3 binary64))
	96.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
	98.2%	(atan2.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)))
▶	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N))))
	82.5%	(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)))))
	99.2%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))
	98.0%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)))))
	99.3%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 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))))))))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
	99.2%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 3 binary64))))))
	93.7%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N N)))
	8.0%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
	82.5%	(atan2.f64 #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) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
▶	86.7%	(atan2.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 N))))
▶	6.4%	(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	78.5%	(.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/6 binary64)) (.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/6 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 2 binary64)))))
	82.3%	(*.f64 (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 2 binary64))) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
	92.0%	(exp.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
	56.0%	(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 598 to 354 computations (40.8% saved)

localize120.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 32 expressions of interest:

New	Metric	Score	Program
	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	(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
✓	cost-diff	12864	(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))
	cost-diff	-6272	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	cost-diff	-6272	(cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
	cost-diff	0	(+.f64 #s(literal 1 binary64) N)
✓	cost-diff	6592	(pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal 3 binary64))
✓	cost-diff	0	(log.f64 N)
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (log.f64 N))
✓	cost-diff	6464	(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)))
✓	cost-diff	6464	(atan2.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 N))))
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 N N #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
	accuracy	100.0%	(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
✓	accuracy	99.8%	(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (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	99.1%	(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))
	accuracy	100.0%	(*.f64 N (+.f64 #s(literal 1 binary64) N))
	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	accuracy	99.1%	(cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
✓	accuracy	98.9%	(pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (log.f64 N))
✓	accuracy	100.0%	(log.f64 N)
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 N))))
✓	accuracy	91.9%	(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)))
✓	accuracy	100.0%	(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 N N #s(literal 1 binary64))
✓	accuracy	99.9%	(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))

Rules

22×	`fma-define`
5×	`distribute-lft-in`
4×	`+-commutative`
3×	`1-exp`
3×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	433
1	51	393
2	63	392
3	81	392
4	94	392
5	99	392
6	100	392

Stop Event

1×

saturated

Calls

Call 1

Inputs
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
#s(literal 1 binary64)
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
N
(fma.f64 N N #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(atan2.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 N))))
#s(literal 1 binary64)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)))
(*.f64 #s(literal 2 binary64) (log.f64 N))
#s(literal 2 binary64)
(log.f64 N)
N
(pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal 3 binary64))
(cbrt.f64 (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))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
N
(+.f64 #s(literal 1 binary64) N)
#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))
(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)))
#s(literal 1 binary64)
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
N
(+.f64 #s(literal 1 binary64) N)
#s(literal 2 binary64)

Outputs
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 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 N (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
N
(fma.f64 N N #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(atan2.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 N))))
(atan2.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 N)))
(atan2.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
#s(literal 1 binary64)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 N))
(pow.f64 N #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (log.f64 N))
#s(literal 2 binary64)
(log.f64 N)
N
(pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal 3 binary64))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 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)))
(cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(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) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 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 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(fma.f64 N N N)
N
(+.f64 #s(literal 1 binary64) N)
#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 N (fma.f64 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)))
(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)))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
#s(literal 1 binary64)
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
N
(+.f64 #s(literal 1 binary64) N)
#s(literal 2 binary64)

Results

72.0ms

256×

valid

Compiler

Compiled 136 to 23 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-atan2: 8.0ms (18.6% of total)

ival-fma: 7.0ms (16.3% of total)

ival-pow: 7.0ms (16.3% of total)

ival-log: 6.0ms (13.9% of total)

ival-add: 4.0ms (9.3% of total)

ival-mult: 4.0ms (9.3% of total)

ival-exp: 3.0ms (7% of total)

ival-cbrt: 2.0ms (4.6% of total)

ival-sqrt: 2.0ms (4.6% of total)

const: 1.0ms (2.3% of total)

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

series90.0ms (1.5%)

Counts

12 → 120

Calls

Call 1

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

Calls

33 calls:

Time	Variable		Point	Expression
31.0ms	N	@	inf	(log N)
26.0ms	N	@	0	(log N)
18.0ms	N	@	-inf	(log N)
0.0ms	N	@	-inf	(* 2 (log N))
0.0ms	N	@	0	(sqrt (atan2 1 (+ (* N (+ 1 N)) 1)))

rewrite183.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

879×	`log1p-expm1-u`
879×	`expm1-log1p-u`
707×	`fma-define`
318×	`fma-neg`
155×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	262
1	420	234
2	4628	234

Stop Event

1×	node limit

Counts

12 → 341

Calls

Call 1

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

simplify243.0ms (4%)

Algorithm

1×	egg-herbie

Rules

377×	`distribute-lft-in`
332×	`distribute-rgt-in`
302×	`times-frac`
269×	`cancel-sign-sub-inv`
255×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	566	4294980234
1	1016	4294979376
2	2630	4294979150
3	7940	4294979150

Stop Event

1×	node limit

Counts

461 → 359

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))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
(+.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) (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) (pow.f64 N #s(literal 2 binary64)))))
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(.f64 (.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)) (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/6 binary64))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/6 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)))))
(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 (sqrt.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) (sqrt.f64 (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 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/6 binary64)))
(*.f64 (sqrt.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 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/6 binary64)) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/6 binary64)) (pow.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)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(*.f64 (pow.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)) #s(literal 1/2 binary64)) (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (cbrt.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))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal 3/2 binary64)))
(*.f64 (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 1/6 binary64)) #s(literal 3/2 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 1/6 binary64)) #s(literal 3/2 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 3/4 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 3/4 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 3/2 binary64))
(pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/2 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 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 3/2 binary64)) #s(literal 1/3 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 1/4 binary64)) #s(literal 2 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 1/6 binary64)) #s(literal 3 binary64))
(fabs.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(log.f64 (exp.f64 (sqrt.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 (sqrt.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 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(exp.f64 (log.f64 (sqrt.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 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal 3/2 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))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
(fma.f64 N N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
(fma.f64 N N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
(fma.f64 N 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) (pow.f64 N #s(literal 2 binary64)))))
(fma.f64 N N #s(literal 1 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))
(fma.f64 N N #s(literal 1 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))
(fma.f64 N 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) (pow.f64 N #s(literal 2 binary64)))))
(fma.f64 N N #s(literal 1 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))
(fma.f64 N N #s(literal 1 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))
(fma.f64 N N #s(literal 1 binary64))
(pow.f64 N #s(literal 2 binary64))
(pow.f64 N #s(literal 2 binary64))
(pow.f64 N #s(literal 2 binary64))
(pow.f64 N #s(literal 2 binary64))
(pow.f64 N #s(literal 2 binary64))
(pow.f64 N #s(literal 2 binary64))
(pow.f64 N #s(literal 2 binary64))
(pow.f64 N #s(literal 2 binary64))
(pow.f64 N #s(literal 2 binary64))
(pow.f64 N #s(literal 2 binary64))
(pow.f64 N #s(literal 2 binary64))
(pow.f64 N #s(literal 2 binary64))
(atan2.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
(atan2.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
(atan2.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
(atan2.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
(atan2.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
(atan2.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
(atan2.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
(atan2.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
(atan2.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
(atan2.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
(atan2.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
(atan2.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)))
(neg.f64 (neg.f64 (log.f64 N)))
(log.f64 N)
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)))
(neg.f64 (neg.f64 (log.f64 N)))
(log.f64 N)
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)))
(neg.f64 (neg.f64 (log.f64 N)))
(log.f64 N)
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)))
(neg.f64 (neg.f64 (log.f64 N)))
(log.f64 N)
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))))
(+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) N))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))))
(+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) N))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))))
(+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) N))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))))
(+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) N))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))
(*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)))
(*.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (log.f64 N))
(*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)))
(*.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (log.f64 N))
(*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)))
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(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)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.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 (sqrt.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)))) #s(literal 0 binary64))
(*.f64 #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)))))
(sqrt.f64 (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 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/6 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 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #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))))
(*.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(*.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/6 binary64)) (cbrt.f64 (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 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/6 binary64)) (pow.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)) #s(literal 1/2 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 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (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))))
(*.f64 (pow.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)) #s(literal 1/2 binary64)) (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/6 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 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (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))))
(*.f64 (pow.f64 (cbrt.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))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal 3/2 binary64)))
(*.f64 (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 1/6 binary64)) #s(literal 3/2 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 1/6 binary64)) #s(literal 3/2 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 1/6 binary64)) #s(literal 3 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 3/4 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 3/4 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 3/2 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 3/2 binary64))
(pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (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 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 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 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 3/2 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 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (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 1/6 binary64)) #s(literal 3 binary64))
(fabs.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))))
(log.f64 (exp.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))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.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))))
(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 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.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)))) #s(literal 0 binary64))
(log1p.f64 (expm1.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))))
(exp.f64 (log.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))))
(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 1/2 binary64)))
(sqrt.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 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #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))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal 3/2 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 3/2 binary64))

eval100.0ms (1.7%)

Compiler: Compiled 9637 to 2164 computations (77.5% saved)

prune92.0ms (1.5%)

Pruning

25 alts after pruning (19 fresh and 6 done)

	Pruned	Kept	Total
New	620	10	630
Fresh	7	9	16
Picked	1	4	5
Done	0	2	2
Total	628	25	653

Accuracy

100.0%

Counts

653 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.0%	(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal 2 binary64))
	98.1%	(pow.f64 (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 3/2 binary64))) #s(literal 2 binary64))
	81.1%	(pow.f64 (cbrt.f64 (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 3 binary64))
✓	97.7%	(pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal 3 binary64))
	92.2%	(pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N N)))) #s(literal 3 binary64))
	96.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
	98.2%	(atan2.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
	82.4%	(atan2.f64 #s(literal 1 binary64) (+.f64 N (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 4 binary64))) (fma.f64 N N #s(literal -1 binary64)))))
	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N))))
	99.2%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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))))
	99.2%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 3 binary64))))))
	93.7%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N N)))
	82.5%	(atan2.f64 #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) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
	93.4%	(atan2.f64 #s(literal 1 binary64) (.f64 (.f64 N (sqrt.f64 N)) (sqrt.f64 N)))
	93.7%	(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
✓	86.7%	(atan2.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 N))))
✓	6.4%	(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	94.8%	(.f64 (.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (cbrt.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 1/6 binary64)))
	82.3%	(*.f64 (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 2 binary64))) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
	96.0%	(*.f64 (cbrt.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))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal 7 binary64)))
	56.0%	(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)))
	50.2%	(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) #s(literal 3 binary64)))
✓	4.1%	#s(literal 0 binary64)

Compiler

Compiled 936 to 364 computations (61.1% saved)

regimes31.0ms (0.5%)

Counts

49 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(-.f64 (atan.f64 N) (atan.f64 N))
(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 N (fma.f64 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 #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) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 N))))
(atan2.f64 #s(literal 1 binary64) (.f64 (.f64 N (sqrt.f64 N)) (sqrt.f64 N)))
(pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N N)))) #s(literal 3 binary64))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 3 binary64))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal 2 binary64))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 4 binary64))) (fma.f64 N N #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 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))))))))
(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) #s(literal 3 binary64)))
(atan2.f64 #s(literal 1 binary64) (exp.f64 (log1p.f64 (fma.f64 N N N))))
(exp.f64 (log.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)))
(atan2.f64 #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))))
(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 (cbrt.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) (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 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (/.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 (+.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)))) #s(literal 1 binary64)))
(atan2.f64 #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 (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 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (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 3 binary64))
(atan2.f64 #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)))))
(pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 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))))) #s(literal 1 binary64)))) #s(literal 3 binary64))
(*.f64 (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 2 binary64))) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(.f64 (.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (cbrt.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 1/6 binary64)))
(*.f64 (cbrt.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))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal 7 binary64)))
(.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/6 binary64)) (.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/6 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 2 binary64)))))

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

Calls

2 calls:

16.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
12.0ms	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

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
93.7%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
93.7%	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) #s(literal 1 binary64))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
6.4%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (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:

1.0ms

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	16	83
1	25	83

Stop Event

1×

saturated

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

soundness1.1s (17.8%)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	262
1	420	234
2	4628	234
0	15	100
1	209	100
2	2677	100
0	387	6237
1	776	6093
2	2146	5909
3	7707	5909
0	11	59
1	135	59
2	1890	59
0	580	27584
1	1215	26761
2	3264	20223

Stop Event

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

Compiler

Compiled 314 to 129 computations (58.9% saved)

preprocess39.0ms (0.6%)

Compiler: Compiled 90 to 50 computations (44.4% 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

analyze2.0ms (0%)

sample1.9s (31.3%)

preprocess182.0ms (3%)

explain117.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize71.0ms (1.2%)

series4.0ms (0.1%)

rewrite233.0ms (3.9%)

simplify139.0ms (2.3%)

eval28.0ms (0.5%)

prune27.0ms (0.4%)

localize168.0ms (2.8%)

series6.0ms (0.1%)

rewrite118.0ms (1.9%)

simplify131.0ms (2.2%)

eval45.0ms (0.7%)

prune50.0ms (0.8%)

localize148.0ms (2.4%)

series24.0ms (0.4%)

rewrite171.0ms (2.8%)

simplify272.0ms (4.5%)

eval128.0ms (2.1%)

prune108.0ms (1.8%)

localize120.0ms (2%)

series90.0ms (1.5%)

rewrite183.0ms (3%)

simplify243.0ms (4%)

eval100.0ms (1.7%)

prune92.0ms (1.5%)

regimes31.0ms (0.5%)

regimes3.0ms (0%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify2.0ms (0%)

soundness1.1s (17.8%)

preprocess39.0ms (0.6%)

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