Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.8s (25.9%)

Results

778.0ms	2126×	body	2048	valid
527.0ms	4539×	body	256	valid
253.0ms	1055×	body	1024	valid
184.0ms	536×	body	512	valid

Bogosity

preprocess21.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

132×	`fma-def`
24×	`sub-neg`
20×	`distribute-rgt-in`
20×	`associate--r+`
20×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	14	21
2	18	21
3	26	21
4	35	21
5	52	21
6	89	21
7	124	21
8	173	21
9	208	21
10	234	21
11	236	21
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Outputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify23.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

132×	`fma-def`
24×	`sub-neg`
20×	`distribute-rgt-in`
20×	`associate--r+`
20×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	14	21
2	18	21
3	26	21
4	35	21
5	52	21
6	89	21
7	124	21
8	173	21
9	208	21
10	234	21
11	236	21

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Outputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Accurracy

79.7%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.7%	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

localize70.0ms (1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(atan.f64 (+.f64 N 1))
✓	79.7%	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 20 to 13 computations (35% saved)

series1.0ms (0%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	N	@	-inf	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
0.0ms	N	@	inf	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
0.0ms	N	@	0	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
0.0ms	N	@	-inf	(atan.f64 (+.f64 N 1))
0.0ms	N	@	0	(atan.f64 (+.f64 N 1))

rewrite97.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1376×	`prod-diff`
1214×	`unpow-prod-down`
878×	`log-prod`
734×	`fma-def`
572×	`pow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	194	32
2	2656	32

Stop Event

1×	node limit

Counts

2 → 151

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(atan.f64 (+.f64 N 1))

Outputs
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 -1 (atan.f64 N) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2))) (cbrt.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(*.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (pow.f64 (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) 1))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (pow.f64 (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1))
(*.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))))
(*.f64 (pow.f64 1 1/3) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) 1) (pow.f64 (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) 1))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2) 1/3) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1/3))
(*.f64 (pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 5/2) 1/3) (pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(/.f64 1 (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))))
(/.f64 1 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) (neg.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))) (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (neg.f64 (atan.f64 N)) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (pow.f64 (neg.f64 (atan.f64 N)) 2) (*.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (neg.f64 (atan.f64 N)) 2)) (-.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)
(pow.f64 (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) -1)
(pow.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))) -1)
(sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))
(log.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (exp.f64 (neg.f64 (atan.f64 N)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (/.f64 1 (exp.f64 (atan.f64 N)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (atan.f64 N))) (exp.f64 (atan.f64 (+.f64 N 1)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (atan.f64 N))) (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1))))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (atan.f64 N))) (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1))))))
(log.f64 (/.f64 (exp.f64 (atan.f64 (+.f64 N 1))) (+.f64 1 (expm1.f64 (atan.f64 N)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (exp.f64 (atan.f64 N))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (+.f64 1 (expm1.f64 (atan.f64 N)))))
(cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (fma.f64 N (+.f64 N 1) 1))
(exp.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(log1p.f64 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 1 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(fma.f64 (atan.f64 (+.f64 N 1)) 1 (neg.f64 (atan.f64 N)))
(fma.f64 (atan.f64 (+.f64 N 1)) 1 (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (neg.f64 (cbrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (neg.f64 (atan.f64 N)))
(fma.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (sqrt.f64 (atan.f64 N)) (neg.f64 (sqrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(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 1)))
(fma.f64 (sqrt.f64 (neg.f64 (atan.f64 N))) (sqrt.f64 (neg.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(fma.f64 -1 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2))) (cbrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(+.f64 0 (atan.f64 (+.f64 N 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 N 1)))) 1)
(*.f64 1 (atan.f64 (+.f64 N 1)))
(*.f64 (atan.f64 (+.f64 N 1)) 1)
(*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(*.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))))
(*.f64 (pow.f64 1 1/3) (atan.f64 (+.f64 N 1)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3/2) 1/3) (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (atan.f64 (+.f64 N 1)) (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2) 1/3) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 1/3))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 5/2) 1/3) (pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(pow.f64 (atan.f64 (+.f64 N 1)) 1)
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3)
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 1/2)
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))
(log.f64 (exp.f64 (atan.f64 (+.f64 N 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 N 1))))
(exp.f64 (log.f64 (atan.f64 (+.f64 N 1))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (atan.f64 (+.f64 N 1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (atan.f64 (+.f64 N 1)))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (atan.f64 (+.f64 N 1))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1))))

simplify97.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1208×	`fma-neg`
872×	`distribute-lft-in`
618×	`cancel-sign-sub-inv`
550×	`log-prod`
450×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	339	5661
1	789	5017
2	2727	4993

Stop Event

1×	node limit

Counts

159 → 191

Calls

Call 1

Inputs
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 -1 (atan.f64 N) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2))) (cbrt.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(*.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (pow.f64 (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) 1))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (pow.f64 (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1))
(*.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))))
(*.f64 (pow.f64 1 1/3) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) 1) (pow.f64 (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) 1))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2) 1/3) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1/3))
(*.f64 (pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 5/2) 1/3) (pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(/.f64 1 (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))))
(/.f64 1 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) (neg.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))) (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (neg.f64 (atan.f64 N)) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (pow.f64 (neg.f64 (atan.f64 N)) 2) (*.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (neg.f64 (atan.f64 N)) 2)) (-.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)
(pow.f64 (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) -1)
(pow.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))) -1)
(sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))
(log.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (exp.f64 (neg.f64 (atan.f64 N)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (/.f64 1 (exp.f64 (atan.f64 N)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (atan.f64 N))) (exp.f64 (atan.f64 (+.f64 N 1)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (atan.f64 N))) (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1))))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (atan.f64 N))) (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1))))))
(log.f64 (/.f64 (exp.f64 (atan.f64 (+.f64 N 1))) (+.f64 1 (expm1.f64 (atan.f64 N)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (exp.f64 (atan.f64 N))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (+.f64 1 (expm1.f64 (atan.f64 N)))))
(cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (fma.f64 N (+.f64 N 1) 1))
(exp.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(log1p.f64 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 1 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(fma.f64 (atan.f64 (+.f64 N 1)) 1 (neg.f64 (atan.f64 N)))
(fma.f64 (atan.f64 (+.f64 N 1)) 1 (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (neg.f64 (cbrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (neg.f64 (atan.f64 N)))
(fma.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (sqrt.f64 (atan.f64 N)) (neg.f64 (sqrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(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 1)))
(fma.f64 (sqrt.f64 (neg.f64 (atan.f64 N))) (sqrt.f64 (neg.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(fma.f64 -1 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2))) (cbrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(+.f64 0 (atan.f64 (+.f64 N 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 N 1)))) 1)
(*.f64 1 (atan.f64 (+.f64 N 1)))
(*.f64 (atan.f64 (+.f64 N 1)) 1)
(*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(*.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))))
(*.f64 (pow.f64 1 1/3) (atan.f64 (+.f64 N 1)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3/2) 1/3) (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (atan.f64 (+.f64 N 1)) (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2) 1/3) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 1/3))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 5/2) 1/3) (pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(pow.f64 (atan.f64 (+.f64 N 1)) 1)
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3)
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 1/2)
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))
(log.f64 (exp.f64 (atan.f64 (+.f64 N 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 N 1))))
(exp.f64 (log.f64 (atan.f64 (+.f64 N 1))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (atan.f64 (+.f64 N 1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (atan.f64 (+.f64 N 1)))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (atan.f64 (+.f64 N 1))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1))))

Outputs
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (-.f64 (atan.f64 N) (*.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (cbrt.f64 (atan.f64 N)))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 -1 (atan.f64 N) (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2))) (cbrt.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (-.f64 (atan.f64 N) (*.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (cbrt.f64 (atan.f64 N)))))
(+.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))) (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))))))
(*.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))) 2))
(*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
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(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 1 N)))) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 1 N)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 1 N))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 1 N)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 1 N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 1 N))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 N 1)))) 1)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 1 (atan.f64 (+.f64 N 1)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (atan.f64 (+.f64 N 1)) 1)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))) 2))
(*.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 1 1/3) (atan.f64 (+.f64 N 1)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3/2) 1/3) (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3/2)) (cbrt.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3/2)) (cbrt.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3/2)))
(.f64 (pow.f64 (pow.f64 (.f64 (atan.f64 (+.f64 N 1)) (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2) 1/3) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 1 N)))) (cbrt.f64 (pow.f64 (.f64 (atan.f64 (+.f64 1 N)) (cbrt.f64 (atan.f64 (+.f64 1 N)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 1 N)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 1 N)))) (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 8)))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 5/2) 1/3) (pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))) (cbrt.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 5/2)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(pow.f64 (atan.f64 (+.f64 N 1)) 1)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 1/2)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/3)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(log.f64 (exp.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (log.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 1))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (.f64 (.f64 (log.f64 (atan.f64 (+.f64 N 1))) 1) 1))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (.f64 (.f64 3 (log.f64 (atan.f64 (+.f64 N 1)))) 1/3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (.f64 (.f64 (log.f64 (atan.f64 (+.f64 N 1))) 3) 1/3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))

eval93.0ms (1.4%)

Compiler: Compiled 3489 to 2304 computations (34% saved)

prune23.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	189	2	191
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	189	3	192

Accurracy

99.5%

Counts

192 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
▶	79.8%	(-.f64 (log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
✓	79.7%	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 27 to 21 computations (22.2% saved)

localize172.0ms (2.5%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(atan.f64 (+.f64 N 1))
✓	100.0%	(log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1))))
✓	99.6%	(expm1.f64 (atan.f64 (+.f64 N 1)))
✓	79.7%	(-.f64 (log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1)))) (atan.f64 N))

Compiler

Compiled 33 to 24 computations (27.3% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	N	@	0	(expm1.f64 (atan.f64 (+.f64 N 1)))
0.0ms	N	@	-inf	(expm1.f64 (atan.f64 (+.f64 N 1)))
0.0ms	N	@	inf	(expm1.f64 (atan.f64 (+.f64 N 1)))
0.0ms	N	@	0	(-.f64 (log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
0.0ms	N	@	-inf	(-.f64 (log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1)))) (atan.f64 N))

rewrite84.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1030×	`prod-diff`
922×	`log-prod`
638×	`prod-exp`
612×	`fma-def`
586×	`pow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	211	47
2	2725	47

Stop Event

1×	node limit

Counts

3 → 149

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
(expm1.f64 (atan.f64 (+.f64 N 1)))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1))))

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

simplify82.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

944×	`fma-neg`
944×	`unswap-sqr`
824×	`distribute-lft-in`
694×	`distribute-rgt-in`
612×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	306	5073
1	674	4851
2	2281	4779

Stop Event

1×	node limit

Counts

185 → 171

Calls

Call 1

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

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

localize34.0ms (0.5%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))

Compiler

Compiled 21 to 15 computations (28.6% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	N	@	0	(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
0.0ms	N	@	-inf	(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
0.0ms	N	@	inf	(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))

rewrite57.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1586×	`pow1`
1458×	`add-exp-log`
1458×	`log1p-expm1-u`
1458×	`expm1-log1p-u`
1430×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	161	21
2	1981	21

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

Inputs
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))

Outputs
(-.f64 (+.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))

simplify62.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

974×	`fma-neg`
958×	`log-prod`
666×	`exp-prod`
646×	`fma-def`
456×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	588
1	89	588
2	305	588
3	1676	588
4	3889	588
5	5687	588

Stop Event

1×	node limit

Counts

28 → 21

Calls

Call 1

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

Outputs
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(-.f64 (+.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3) 1/3)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))

eval172.0ms (2.5%)

Compiler: Compiled 3915 to 2742 computations (30% saved)

prune33.0ms (0.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	238	5	243
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	241	5	246

Accurracy

99.5%

Counts

246 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
▶	97.3%	(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
▶	81.1%	(atan2.f64 (-.f64 (+.f64 N 1) N) (+.f64 1 (*.f64 (+.f64 N 1) N)))
▶	99.5%	(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
▶	86.7%	(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))

Compiler

Compiled 118 to 92 computations (22% saved)

localize43.0ms (0.6%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 N (fma.f64 N N 1))
✓	99.5%	(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))

Compiler

Compiled 22 to 13 computations (40.9% saved)

series1.0ms (0%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	N	@	-inf	(+.f64 N (fma.f64 N N 1))
0.0ms	N	@	inf	(+.f64 N (fma.f64 N N 1))
0.0ms	N	@	0	(+.f64 N (fma.f64 N N 1))
0.0ms	N	@	-inf	(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
0.0ms	N	@	0	(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))

rewrite61.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1654×	`pow1`
1524×	`add-exp-log`
1524×	`log1p-expm1-u`
1524×	`expm1-log1p-u`
1492×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	36
1	161	36
2	2049	36

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

Inputs
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(+.f64 N (fma.f64 N N 1))

Outputs
(-.f64 (+.f64 1 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))))
(*.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 2)) (cbrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) (sqrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(pow.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(-.f64 (+.f64 1 (+.f64 N (fma.f64 N N 1))) 1)
(-.f64 (/.f64 (*.f64 N N) (-.f64 N (fma.f64 N N 1))) (/.f64 (pow.f64 (fma.f64 N N 1) 2) (-.f64 N (fma.f64 N N 1))))
(*.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 (+.f64 N (fma.f64 N N 1)) 1)
(*.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1))) (cbrt.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 2)) (cbrt.f64 (+.f64 N (fma.f64 N N 1))))
(*.f64 (sqrt.f64 (+.f64 N (fma.f64 N N 1))) (sqrt.f64 (+.f64 N (fma.f64 N N 1))))
(.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (/.f64 1 (fma.f64 N N (.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N)))))
(.f64 (-.f64 (.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (/.f64 1 (-.f64 N (fma.f64 N N 1))))
(/.f64 1 (/.f64 (fma.f64 N N (*.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N))) (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3))))
(/.f64 1 (/.f64 (-.f64 N (fma.f64 N N 1)) (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (fma.f64 N N (*.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (-.f64 (*.f64 N N) (+.f64 (pow.f64 N 3) N))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (-.f64 N (fma.f64 N N 1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3))) (neg.f64 (fma.f64 N N (*.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N)))))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (neg.f64 (-.f64 N (fma.f64 N N 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N))
(pow.f64 (+.f64 N (fma.f64 N N 1)) 1)
(pow.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1))) 3)
(pow.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 N (fma.f64 N N 1))) 2)
(sqrt.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 2))
(log.f64 (exp.f64 (+.f64 N (fma.f64 N N 1))))
(cbrt.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 3))
(expm1.f64 (log1p.f64 (+.f64 N (fma.f64 N N 1))))
(exp.f64 (log.f64 (+.f64 N (fma.f64 N N 1))))
(log1p.f64 (expm1.f64 (+.f64 N (fma.f64 N N 1))))
(fma.f64 1 N (fma.f64 N N 1))
(fma.f64 1 (fma.f64 N N 1) N)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) (cbrt.f64 (fma.f64 N N 1)) N)
(fma.f64 (cbrt.f64 (*.f64 N N)) (cbrt.f64 N) (fma.f64 N N 1))
(fma.f64 (sqrt.f64 (fma.f64 N N 1)) (sqrt.f64 (fma.f64 N N 1)) N)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (fma.f64 N N 1))

simplify70.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1136×	`div-sub`
1084×	`fma-neg`
708×	`fma-def`
578×	`unswap-sqr`
550×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	120	1473
1	273	1355
2	1003	1355
3	4805	1355

Stop Event

1×	node limit

Counts

65 → 66

Calls

Call 1

Inputs
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (*.f64 -1 N)))
1
(+.f64 N 1)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(-.f64 (+.f64 1 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))))
(*.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 2)) (cbrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) (sqrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(pow.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(-.f64 (+.f64 1 (+.f64 N (fma.f64 N N 1))) 1)
(-.f64 (/.f64 (*.f64 N N) (-.f64 N (fma.f64 N N 1))) (/.f64 (pow.f64 (fma.f64 N N 1) 2) (-.f64 N (fma.f64 N N 1))))
(*.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 (+.f64 N (fma.f64 N N 1)) 1)
(*.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1))) (cbrt.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 2)) (cbrt.f64 (+.f64 N (fma.f64 N N 1))))
(*.f64 (sqrt.f64 (+.f64 N (fma.f64 N N 1))) (sqrt.f64 (+.f64 N (fma.f64 N N 1))))
(.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (/.f64 1 (fma.f64 N N (.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N)))))
(.f64 (-.f64 (.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (/.f64 1 (-.f64 N (fma.f64 N N 1))))
(/.f64 1 (/.f64 (fma.f64 N N (*.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N))) (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3))))
(/.f64 1 (/.f64 (-.f64 N (fma.f64 N N 1)) (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (fma.f64 N N (*.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (-.f64 (*.f64 N N) (+.f64 (pow.f64 N 3) N))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (-.f64 N (fma.f64 N N 1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3))) (neg.f64 (fma.f64 N N (*.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N)))))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (neg.f64 (-.f64 N (fma.f64 N N 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N))
(pow.f64 (+.f64 N (fma.f64 N N 1)) 1)
(pow.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1))) 3)
(pow.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 N (fma.f64 N N 1))) 2)
(sqrt.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 2))
(log.f64 (exp.f64 (+.f64 N (fma.f64 N N 1))))
(cbrt.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 3))
(expm1.f64 (log1p.f64 (+.f64 N (fma.f64 N N 1))))
(exp.f64 (log.f64 (+.f64 N (fma.f64 N N 1))))
(log1p.f64 (expm1.f64 (+.f64 N (fma.f64 N N 1))))
(fma.f64 1 N (fma.f64 N N 1))
(fma.f64 1 (fma.f64 N N 1) N)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) (cbrt.f64 (fma.f64 N N 1)) N)
(fma.f64 (cbrt.f64 (*.f64 N N)) (cbrt.f64 N) (fma.f64 N N 1))
(fma.f64 (sqrt.f64 (fma.f64 N N 1)) (sqrt.f64 (fma.f64 N N 1)) N)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (fma.f64 N N 1))

Outputs
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
1
(+.f64 N 1)
(+.f64 1 N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(fma.f64 N N N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(fma.f64 N N N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(-.f64 (+.f64 1 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) 1)
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 1 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 1)
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 2)))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 2)) (cbrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) (sqrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(pow.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 1)
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) 3)
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 3) 1/3)
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) 2)
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 2))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 3))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(-.f64 (+.f64 1 (+.f64 N (fma.f64 N N 1))) 1)
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(-.f64 (/.f64 (*.f64 N N) (-.f64 N (fma.f64 N N 1))) (/.f64 (pow.f64 (fma.f64 N N 1) 2) (-.f64 N (fma.f64 N N 1))))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(*.f64 1 (+.f64 N (fma.f64 N N 1)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(*.f64 (+.f64 N (fma.f64 N N 1)) 1)
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(*.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1))) (cbrt.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 2)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 2)) (cbrt.f64 (+.f64 N (fma.f64 N N 1))))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(*.f64 (sqrt.f64 (+.f64 N (fma.f64 N N 1))) (sqrt.f64 (+.f64 N (fma.f64 N N 1))))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (/.f64 1 (fma.f64 N N (.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N)))))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) 1) (fma.f64 N N (.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (fma.f64 N N (*.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (fma.f64 N N 1) 3)) (fma.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N) (*.f64 N N)))
(.f64 (-.f64 (.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (/.f64 1 (-.f64 N (fma.f64 N N 1))))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(/.f64 1 (/.f64 (fma.f64 N N (*.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N))) (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) 1) (fma.f64 N N (.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (fma.f64 N N (*.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (fma.f64 N N 1) 3)) (fma.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N) (*.f64 N N)))
(/.f64 1 (/.f64 (-.f64 N (fma.f64 N N 1)) (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (fma.f64 N N (*.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N))))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) 1) (fma.f64 N N (.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (fma.f64 N N 1) 3)) (fma.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N) (*.f64 N N)))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (-.f64 (*.f64 N N) (+.f64 (pow.f64 N 3) N))))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) 1) (fma.f64 N N (.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (fma.f64 N N (*.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (fma.f64 N N 1) 3)) (fma.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N) (*.f64 N N)))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (-.f64 N (fma.f64 N N 1)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3))) (neg.f64 (fma.f64 N N (*.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N)))))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) 1) (fma.f64 N N (.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (fma.f64 N N (*.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (fma.f64 N N 1) 3)) (fma.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N) (*.f64 N N)))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (neg.f64 (-.f64 N (fma.f64 N N 1))))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(pow.f64 (+.f64 N (fma.f64 N N 1)) 1)
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(pow.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1))) 3)
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(pow.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 3) 1/3)
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(pow.f64 (sqrt.f64 (+.f64 N (fma.f64 N N 1))) 2)
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(sqrt.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 2))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(log.f64 (exp.f64 (+.f64 N (fma.f64 N N 1))))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(cbrt.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 3))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(expm1.f64 (log1p.f64 (+.f64 N (fma.f64 N N 1))))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(exp.f64 (log.f64 (+.f64 N (fma.f64 N N 1))))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(log1p.f64 (expm1.f64 (+.f64 N (fma.f64 N N 1))))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 1 N (fma.f64 N N 1))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 1 (fma.f64 N N 1) N)
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) (cbrt.f64 (fma.f64 N N 1)) N)
(fma.f64 (cbrt.f64 (*.f64 N N)) (cbrt.f64 N) (fma.f64 N N 1))
(fma.f64 (sqrt.f64 (fma.f64 N N 1)) (sqrt.f64 (fma.f64 N N 1)) N)
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (fma.f64 N N 1))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))

localize75.0ms (1.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 N 1) N)
✓	99.5%	(atan2.f64 (-.f64 (+.f64 N 1) N) (+.f64 1 (*.f64 (+.f64 N 1) N)))
✓	59.9%	(-.f64 (+.f64 N 1) N)

Compiler

Compiled 37 to 25 computations (32.4% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	N	@	inf	(*.f64 (+.f64 N 1) N)
0.0ms	N	@	-inf	(*.f64 (+.f64 N 1) N)
0.0ms	N	@	0	(*.f64 (+.f64 N 1) N)
0.0ms	N	@	0	(atan2.f64 (-.f64 (+.f64 N 1) N) (+.f64 1 (*.f64 (+.f64 N 1) N)))
0.0ms	N	@	-inf	(atan2.f64 (-.f64 (+.f64 N 1) N) (+.f64 1 (*.f64 (+.f64 N 1) N)))

rewrite86.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1852×	`prod-diff`
1170×	`fma-def`
914×	`log-prod`
662×	`pow-prod-down`
456×	`pow-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	63
1	201	59
2	2887	55

Stop Event

1×	node limit

Counts

3 → 222

Calls

Call 1

Inputs
(-.f64 (+.f64 N 1) N)
(atan2.f64 (-.f64 (+.f64 N 1) N) (+.f64 1 (*.f64 (+.f64 N 1) N)))
(*.f64 (+.f64 N 1) N)

Outputs
(+.f64 N (-.f64 1 N))
(+.f64 N (*.f64 (-.f64 1 N) 1))
(+.f64 1 (-.f64 N N))
(+.f64 (+.f64 N 1) (neg.f64 N))
(+.f64 (+.f64 N 1) (*.f64 (neg.f64 N) 1))
(+.f64 (+.f64 1 (-.f64 N N)) (fma.f64 (neg.f64 N) 1 N))
(+.f64 (+.f64 1 (-.f64 N N)) (fma.f64 (neg.f64 (cbrt.f64 N)) (cbrt.f64 (*.f64 N N)) N))
(+.f64 (+.f64 1 (-.f64 N N)) (+.f64 (neg.f64 N) N))
(+.f64 (+.f64 1 (-.f64 N N)) (fma.f64 -1 N N))
(+.f64 (+.f64 1 (-.f64 N N)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 N N))) (cbrt.f64 N) N))
(+.f64 0 (+.f64 1 (-.f64 N N)))
(+.f64 (neg.f64 N) (+.f64 N 1))
(+.f64 (-.f64 1 N) N)
(+.f64 (fma.f64 1 (+.f64 N 1) (neg.f64 (.f64 (.f64 (cbrt.f64 N) 1) (cbrt.f64 (.f64 N N))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 N) 1)) (cbrt.f64 (.f64 N N)) (.f64 (.f64 (cbrt.f64 N) 1) (cbrt.f64 (.f64 N N)))))
(+.f64 (fma.f64 1 (+.f64 N 1) (neg.f64 (.f64 (.f64 (sqrt.f64 N) 1) (sqrt.f64 N)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 N) 1)) (sqrt.f64 N) (.f64 (*.f64 (sqrt.f64 N) 1) (sqrt.f64 N))))
(+.f64 (fma.f64 (+.f64 N 1) 1 (neg.f64 (.f64 (.f64 (cbrt.f64 N) 1) (cbrt.f64 (.f64 N N))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 N) 1)) (cbrt.f64 (.f64 N N)) (.f64 (.f64 (cbrt.f64 N) 1) (cbrt.f64 (.f64 N N)))))
(+.f64 (fma.f64 (+.f64 N 1) 1 (neg.f64 (.f64 (.f64 (sqrt.f64 N) 1) (sqrt.f64 N)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 N) 1)) (sqrt.f64 N) (.f64 (*.f64 (sqrt.f64 N) 1) (sqrt.f64 N))))
(+.f64 (fma.f64 (cbrt.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (neg.f64 (.f64 (.f64 (cbrt.f64 N) 1) (cbrt.f64 (.f64 N N))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 N) 1)) (cbrt.f64 (.f64 N N)) (.f64 (.f64 (cbrt.f64 N) 1) (cbrt.f64 (.f64 N N)))))
(+.f64 (fma.f64 (cbrt.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (neg.f64 (.f64 (.f64 (sqrt.f64 N) 1) (sqrt.f64 N)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 N) 1)) (sqrt.f64 N) (.f64 (*.f64 (sqrt.f64 N) 1) (sqrt.f64 N))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (cbrt.f64 (+.f64 N 1)) (neg.f64 (.f64 (.f64 (cbrt.f64 N) 1) (cbrt.f64 (.f64 N N))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 N) 1)) (cbrt.f64 (.f64 N N)) (.f64 (.f64 (cbrt.f64 N) 1) (cbrt.f64 (.f64 N N)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (cbrt.f64 (+.f64 N 1)) (neg.f64 (.f64 (.f64 (sqrt.f64 N) 1) (sqrt.f64 N)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 N) 1)) (sqrt.f64 N) (.f64 (*.f64 (sqrt.f64 N) 1) (sqrt.f64 N))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 (+.f64 N 1)) (neg.f64 (.f64 (.f64 (cbrt.f64 N) 1) (cbrt.f64 (.f64 N N))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 N) 1)) (cbrt.f64 (.f64 N N)) (.f64 (.f64 (cbrt.f64 N) 1) (cbrt.f64 (.f64 N N)))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 (+.f64 N 1)) (neg.f64 (.f64 (.f64 (sqrt.f64 N) 1) (sqrt.f64 N)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 N) 1)) (sqrt.f64 N) (.f64 (*.f64 (sqrt.f64 N) 1) (sqrt.f64 N))))
(+.f64 (fma.f64 (+.f64 1 (pow.f64 N 3)) (/.f64 1 (-.f64 (fma.f64 N N 1) N)) (neg.f64 (.f64 (.f64 (cbrt.f64 N) 1) (cbrt.f64 (.f64 N N))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 N) 1)) (cbrt.f64 (.f64 N N)) (.f64 (.f64 (cbrt.f64 N) 1) (cbrt.f64 (.f64 N N)))))
(+.f64 (fma.f64 (+.f64 1 (pow.f64 N 3)) (/.f64 1 (-.f64 (fma.f64 N N 1) N)) (neg.f64 (.f64 (.f64 (sqrt.f64 N) 1) (sqrt.f64 N)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 N) 1)) (sqrt.f64 N) (.f64 (*.f64 (sqrt.f64 N) 1) (sqrt.f64 N))))
(+.f64 (fma.f64 (fma.f64 N N -1) (/.f64 1 (+.f64 N -1)) (neg.f64 (.f64 (.f64 (cbrt.f64 N) 1) (cbrt.f64 (.f64 N N))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 N) 1)) (cbrt.f64 (.f64 N N)) (.f64 (.f64 (cbrt.f64 N) 1) (cbrt.f64 (.f64 N N)))))
(+.f64 (fma.f64 (fma.f64 N N -1) (/.f64 1 (+.f64 N -1)) (neg.f64 (.f64 (.f64 (sqrt.f64 N) 1) (sqrt.f64 N)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 N) 1)) (sqrt.f64 N) (.f64 (*.f64 (sqrt.f64 N) 1) (sqrt.f64 N))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 1 (-.f64 N N)))) (cbrt.f64 (exp.f64 (+.f64 1 (-.f64 N N)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (-.f64 N N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (-.f64 N N))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (-.f64 N N))))))
(*.f64 1 (+.f64 1 (-.f64 N N)))
(*.f64 (+.f64 1 (-.f64 N N)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) 2) (cbrt.f64 (+.f64 1 (-.f64 N N))))
(*.f64 (sqrt.f64 (+.f64 1 (-.f64 N N))) (sqrt.f64 (+.f64 1 (-.f64 N N))))
(*.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)) (/.f64 1 (fma.f64 N (+.f64 N (+.f64 N 1)) (pow.f64 (+.f64 N 1) 2))))
(.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N N)) (/.f64 1 (+.f64 N (+.f64 N 1))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N)) (-.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N)))
(/.f64 1 (/.f64 (fma.f64 N (+.f64 N (+.f64 N 1)) (pow.f64 (+.f64 N 1) 2)) (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3))))
(/.f64 1 (/.f64 (+.f64 N (+.f64 N 1)) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N N))))
(/.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)) (fma.f64 N (+.f64 N (+.f64 N 1)) (pow.f64 (+.f64 N 1) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N N)) (+.f64 N (+.f64 N 1)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3))) (neg.f64 (fma.f64 N (+.f64 N (+.f64 N 1)) (pow.f64 (+.f64 N 1) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N N))) (neg.f64 (+.f64 N (+.f64 N 1))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (fma.f64 N N (-.f64 (pow.f64 (-.f64 1 N) 2) (*.f64 N (-.f64 1 N)))))
(/.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (neg.f64 N) 3)) (+.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 (pow.f64 (neg.f64 N) 2) (*.f64 (+.f64 N 1) (neg.f64 N)))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 (-.f64 1 N) 2)) (-.f64 N (-.f64 1 N)))
(/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 (neg.f64 N) 2)) (-.f64 (+.f64 N 1) (neg.f64 N)))
(pow.f64 (+.f64 1 (-.f64 N N)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) 3)
(pow.f64 (pow.f64 (+.f64 1 (-.f64 N N)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (-.f64 N N)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (-.f64 N N))) 2)
(pow.f64 (/.f64 (fma.f64 N (+.f64 N (+.f64 N 1)) (pow.f64 (+.f64 N 1) 2)) (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3))) -1)
(pow.f64 (/.f64 (+.f64 N (+.f64 N 1)) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N N))) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (-.f64 N N)) 2))
(log.f64 (exp.f64 (+.f64 1 (-.f64 N N))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (-.f64 N N)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 N)) (exp.f64 (-.f64 1 N))))
(log.f64 (*.f64 (exp.f64 (+.f64 N 1)) (/.f64 1 (exp.f64 N))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 N 1))) (exp.f64 (neg.f64 N))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 N 1))) (/.f64 1 (exp.f64 N))))
(log.f64 (*.f64 (exp.f64 (neg.f64 N)) (exp.f64 (+.f64 N 1))))
(log.f64 (*.f64 (exp.f64 (neg.f64 N)) (+.f64 1 (expm1.f64 (+.f64 N 1)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 N)) (exp.f64 (+.f64 N 1))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 N)) (+.f64 1 (expm1.f64 (+.f64 N 1)))))
(log.f64 (*.f64 (exp.f64 (-.f64 1 N)) (exp.f64 N)))
(log.f64 (*.f64 (exp.f64 (-.f64 1 N)) (+.f64 1 (expm1.f64 N))))
(log.f64 (/.f64 (exp.f64 (+.f64 N 1)) (+.f64 1 (expm1.f64 N))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (+.f64 N 1))) (exp.f64 N)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (+.f64 N 1))) (+.f64 1 (expm1.f64 N))))
(cbrt.f64 (pow.f64 (+.f64 1 (-.f64 N N)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (-.f64 N N))))
(exp.f64 (log1p.f64 (-.f64 N N)))
(exp.f64 (*.f64 (log1p.f64 (-.f64 N N)) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (-.f64 N N)) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (-.f64 N N))) 3))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (-.f64 N N))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (-.f64 N N))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (-.f64 N N))))
(fma.f64 N 1 (-.f64 1 N))
(fma.f64 N 1 (*.f64 (-.f64 1 N) 1))
(fma.f64 1 N (-.f64 1 N))
(fma.f64 1 N (*.f64 (-.f64 1 N) 1))
(fma.f64 1 (+.f64 N 1) (neg.f64 N))
(fma.f64 1 (+.f64 N 1) (*.f64 (neg.f64 N) 1))
(fma.f64 1 (+.f64 1 (-.f64 N N)) (fma.f64 (neg.f64 N) 1 N))
(fma.f64 1 (+.f64 1 (-.f64 N N)) (fma.f64 (neg.f64 (cbrt.f64 N)) (cbrt.f64 (*.f64 N N)) N))
(fma.f64 1 (+.f64 1 (-.f64 N N)) (+.f64 (neg.f64 N) N))
(fma.f64 1 (neg.f64 N) (+.f64 N 1))
(fma.f64 1 (-.f64 1 N) N)
(fma.f64 (+.f64 N 1) 1 (neg.f64 N))
(fma.f64 (+.f64 N 1) 1 (*.f64 (neg.f64 N) 1))
(fma.f64 (+.f64 1 (-.f64 N N)) 1 (fma.f64 (neg.f64 N) 1 N))
(fma.f64 (+.f64 1 (-.f64 N N)) 1 (fma.f64 (neg.f64 (cbrt.f64 N)) (cbrt.f64 (*.f64 N N)) N))
(fma.f64 (+.f64 1 (-.f64 N N)) 1 (+.f64 (neg.f64 N) N))
(fma.f64 (cbrt.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (neg.f64 N))
(fma.f64 (cbrt.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (*.f64 (neg.f64 N) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (cbrt.f64 (+.f64 N 1)) (neg.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (cbrt.f64 (+.f64 N 1)) (*.f64 (neg.f64 N) 1))
(fma.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) 2) (fma.f64 (neg.f64 N) 1 N))
(fma.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) 2) (fma.f64 (neg.f64 (cbrt.f64 N)) (cbrt.f64 (*.f64 N N)) N))
(fma.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) 2) (+.f64 (neg.f64 N) N))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) 2) (cbrt.f64 (+.f64 1 (-.f64 N N))) (fma.f64 (neg.f64 N) 1 N))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) 2) (cbrt.f64 (+.f64 1 (-.f64 N N))) (fma.f64 (neg.f64 (cbrt.f64 N)) (cbrt.f64 (*.f64 N N)) N))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) 2) (cbrt.f64 (+.f64 1 (-.f64 N N))) (+.f64 (neg.f64 N) N))
(fma.f64 (cbrt.f64 N) (cbrt.f64 (*.f64 N N)) (-.f64 1 N))
(fma.f64 (cbrt.f64 N) (cbrt.f64 (.f64 N N)) (.f64 (-.f64 1 N) 1))
(fma.f64 (cbrt.f64 (*.f64 N N)) (cbrt.f64 N) (-.f64 1 N))
(fma.f64 (cbrt.f64 (.f64 N N)) (cbrt.f64 N) (.f64 (-.f64 1 N) 1))
(fma.f64 (cbrt.f64 (*.f64 N N)) (neg.f64 (cbrt.f64 N)) (+.f64 N 1))
(fma.f64 (cbrt.f64 (.f64 N N)) (.f64 (cbrt.f64 N) 1) (-.f64 1 N))
(fma.f64 (cbrt.f64 (.f64 N N)) (.f64 (cbrt.f64 N) 1) (*.f64 (-.f64 1 N) 1))
(fma.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 (+.f64 N 1)) (neg.f64 N))
(fma.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 (+.f64 N 1)) (*.f64 (neg.f64 N) 1))
(fma.f64 (sqrt.f64 (+.f64 1 (-.f64 N N))) (sqrt.f64 (+.f64 1 (-.f64 N N))) (fma.f64 (neg.f64 N) 1 N))
(fma.f64 (sqrt.f64 (+.f64 1 (-.f64 N N))) (sqrt.f64 (+.f64 1 (-.f64 N N))) (fma.f64 (neg.f64 (cbrt.f64 N)) (cbrt.f64 (*.f64 N N)) N))
(fma.f64 (sqrt.f64 (+.f64 1 (-.f64 N N))) (sqrt.f64 (+.f64 1 (-.f64 N N))) (+.f64 (neg.f64 N) N))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (-.f64 1 N))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (*.f64 (-.f64 1 N) 1))
(fma.f64 (sqrt.f64 N) (neg.f64 (sqrt.f64 N)) (+.f64 N 1))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) 1) (-.f64 1 N))
(fma.f64 (sqrt.f64 N) (.f64 (sqrt.f64 N) 1) (.f64 (-.f64 1 N) 1))
(fma.f64 (+.f64 1 (pow.f64 N 3)) (/.f64 1 (-.f64 (fma.f64 N N 1) N)) (neg.f64 N))
(fma.f64 (+.f64 1 (pow.f64 N 3)) (/.f64 1 (-.f64 (fma.f64 N N 1) N)) (*.f64 (neg.f64 N) 1))
(fma.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)) (/.f64 1 (fma.f64 N (+.f64 N (+.f64 N 1)) (pow.f64 (+.f64 N 1) 2))) (fma.f64 (neg.f64 N) 1 N))
(fma.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)) (/.f64 1 (fma.f64 N (+.f64 N (+.f64 N 1)) (pow.f64 (+.f64 N 1) 2))) (fma.f64 (neg.f64 (cbrt.f64 N)) (cbrt.f64 (*.f64 N N)) N))
(fma.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)) (/.f64 1 (fma.f64 N (+.f64 N (+.f64 N 1)) (pow.f64 (+.f64 N 1) 2))) (+.f64 (neg.f64 N) N))
(fma.f64 (fma.f64 N N -1) (/.f64 1 (+.f64 N -1)) (neg.f64 N))
(fma.f64 (fma.f64 N N -1) (/.f64 1 (+.f64 N -1)) (*.f64 (neg.f64 N) 1))
(fma.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N N)) (/.f64 1 (+.f64 N (+.f64 N 1))) (fma.f64 (neg.f64 N) 1 N))
(fma.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N N)) (/.f64 1 (+.f64 N (+.f64 N 1))) (fma.f64 (neg.f64 (cbrt.f64 N)) (cbrt.f64 (.f64 N N)) N))
(fma.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N N)) (/.f64 1 (+.f64 N (+.f64 N 1))) (+.f64 (neg.f64 N) N))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 N)) (cbrt.f64 (neg.f64 N))) (cbrt.f64 (neg.f64 N)) (+.f64 N 1))
(fma.f64 (*.f64 (cbrt.f64 (-.f64 1 N)) (cbrt.f64 (-.f64 1 N))) (cbrt.f64 (-.f64 1 N)) N)
(fma.f64 (sqrt.f64 (neg.f64 N)) (sqrt.f64 (neg.f64 N)) (+.f64 N 1))
(fma.f64 (sqrt.f64 (-.f64 1 N)) (sqrt.f64 (-.f64 1 N)) N)
(fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) (+.f64 N 1))
(fma.f64 -1 N (+.f64 N 1))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N)) (-.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N)) (fma.f64 (neg.f64 N) 1 N))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N)) (-.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 N)) (cbrt.f64 (*.f64 N N)) N))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N)) (-.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N)) (+.f64 (neg.f64 N) N))
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 N N))) (cbrt.f64 N) (+.f64 N 1))
(+.f64 0 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (exp.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))))))) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))))) 1)
(*.f64 1 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))))
(*.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))) 1)
(*.f64 (cbrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (pow.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))) 2)) (cbrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))))
(*.f64 (sqrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))))
(pow.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))) 1)
(pow.f64 (cbrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))) 3)
(pow.f64 (pow.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))) 2) 1/2)
(pow.f64 (pow.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))) 2))
(log.f64 (exp.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))))))
(cbrt.f64 (pow.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (log.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))))) 2))
(log1p.f64 (expm1.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))))
(+.f64 N (*.f64 N N))
(+.f64 0 (fma.f64 N N N))
(+.f64 (*.f64 N N) N)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 N N N))) (cbrt.f64 (exp.f64 (fma.f64 N N N))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 N N N)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 N N N)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 N N N)))))
(-.f64 (+.f64 1 (fma.f64 N N N)) 1)
(/.f64 (*.f64 N (+.f64 1 (pow.f64 N 3))) (-.f64 (fma.f64 N N 1) N))
(/.f64 (*.f64 N (fma.f64 N N -1)) (+.f64 N -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 N 3)) N) (-.f64 (fma.f64 N N 1) N))
(/.f64 (*.f64 (fma.f64 N N -1) N) (+.f64 N -1))
(pow.f64 (fma.f64 N N N) 1)
(pow.f64 (cbrt.f64 (fma.f64 N N N)) 3)
(pow.f64 (pow.f64 (fma.f64 N N N) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 N N N) 3) 1/3)
(pow.f64 (hypot.f64 N (sqrt.f64 N)) 2)
(sqrt.f64 (pow.f64 (fma.f64 N N N) 2))
(log.f64 (exp.f64 (fma.f64 N N N)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N N))))
(log.f64 (.f64 (exp.f64 N) (exp.f64 (.f64 N N))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 N)) (exp.f64 (.f64 N N))))
(log.f64 (.f64 (exp.f64 (.f64 N N)) (exp.f64 N)))
(log.f64 (.f64 (exp.f64 (.f64 N N)) (+.f64 1 (expm1.f64 N))))
(cbrt.f64 (pow.f64 (fma.f64 N N N) 3))
(expm1.f64 (log1p.f64 (fma.f64 N N N)))
(expm1.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1))
(exp.f64 (log.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log.f64 (fma.f64 N N N)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 N N N)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 N N N))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 N N N))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 N N N)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (hypot.f64 N (sqrt.f64 N))) 2))
(log1p.f64 (expm1.f64 (fma.f64 N N N)))
(fma.f64 N N N)
(fma.f64 N 1 (*.f64 N N))
(fma.f64 1 N (*.f64 N N))
(fma.f64 1 (+.f64 1 (fma.f64 N N N)) -1)
(fma.f64 1 (*.f64 N N) N)
(fma.f64 (+.f64 1 (fma.f64 N N N)) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) (cbrt.f64 (+.f64 1 (fma.f64 N N N))) -1)
(fma.f64 (cbrt.f64 N) (cbrt.f64 (.f64 N N)) (.f64 N N))
(fma.f64 (cbrt.f64 (.f64 N N)) (cbrt.f64 N) (.f64 N N))
(fma.f64 (cbrt.f64 (.f64 N N)) (.f64 (cbrt.f64 N) N) N)
(fma.f64 (cbrt.f64 (.f64 N N)) (.f64 (cbrt.f64 N) 1) (*.f64 N N))
(fma.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) -1)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (*.f64 N N))
(fma.f64 (sqrt.f64 N) (pow.f64 N 3/2) N)
(fma.f64 (sqrt.f64 N) (.f64 (sqrt.f64 N) 1) (.f64 N N))
(fma.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (/.f64 1 (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) 1) 1)) -1)
(fma.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (/.f64 1 (-.f64 1 (fma.f64 N N N))) -1)
(fma.f64 (.f64 (cbrt.f64 N) N) (cbrt.f64 (.f64 N N)) N)
(fma.f64 (pow.f64 N 3/2) (sqrt.f64 N) N)
(fma.f64 (pow.f64 (cbrt.f64 N) 5) (cbrt.f64 N) N)

simplify88.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

932×	`distribute-lft-in`
856×	`distribute-rgt-in`
734×	`unswap-sqr`
456×	`associate-+l+`
454×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	461	5072
1	1095	4502
2	2594	4206

Stop Event

1×	node limit

Counts

258 → 294

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (.f64 N (-.f64 1 (.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (.f64 N (-.f64 1 (.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (.f64 N (-.f64 1 (.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (.f64 N (-.f64 1 (.f64 -1 N)))))
N
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (-.f64 1 N))
(+.f64 N (*.f64 (-.f64 1 N) 1))
(+.f64 1 (-.f64 N N))
(+.f64 (+.f64 N 1) (neg.f64 N))
(+.f64 (+.f64 N 1) (*.f64 (neg.f64 N) 1))
(+.f64 (+.f64 1 (-.f64 N N)) (fma.f64 (neg.f64 N) 1 N))
(+.f64 (+.f64 1 (-.f64 N N)) (fma.f64 (neg.f64 (cbrt.f64 N)) (cbrt.f64 (*.f64 N N)) N))
(+.f64 (+.f64 1 (-.f64 N N)) (+.f64 (neg.f64 N) N))
(+.f64 (+.f64 1 (-.f64 N N)) (fma.f64 -1 N N))
(+.f64 (+.f64 1 (-.f64 N N)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 N N))) (cbrt.f64 N) N))
(+.f64 0 (+.f64 1 (-.f64 N N)))
(+.f64 (neg.f64 N) (+.f64 N 1))
(+.f64 (-.f64 1 N) N)
(+.f64 (fma.f64 1 (+.f64 N 1) (neg.f64 (.f64 (.f64 (cbrt.f64 N) 1) (cbrt.f64 (.f64 N N))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 N) 1)) (cbrt.f64 (.f64 N N)) (.f64 (.f64 (cbrt.f64 N) 1) (cbrt.f64 (.f64 N N)))))
(+.f64 (fma.f64 1 (+.f64 N 1) (neg.f64 (.f64 (.f64 (sqrt.f64 N) 1) (sqrt.f64 N)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 N) 1)) (sqrt.f64 N) (.f64 (*.f64 (sqrt.f64 N) 1) (sqrt.f64 N))))
(+.f64 (fma.f64 (+.f64 N 1) 1 (neg.f64 (.f64 (.f64 (cbrt.f64 N) 1) (cbrt.f64 (.f64 N N))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 N) 1)) (cbrt.f64 (.f64 N N)) (.f64 (.f64 (cbrt.f64 N) 1) (cbrt.f64 (.f64 N N)))))
(+.f64 (fma.f64 (+.f64 N 1) 1 (neg.f64 (.f64 (.f64 (sqrt.f64 N) 1) (sqrt.f64 N)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 N) 1)) (sqrt.f64 N) (.f64 (*.f64 (sqrt.f64 N) 1) (sqrt.f64 N))))
(+.f64 (fma.f64 (cbrt.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (neg.f64 (.f64 (.f64 (cbrt.f64 N) 1) (cbrt.f64 (.f64 N N))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 N) 1)) (cbrt.f64 (.f64 N N)) (.f64 (.f64 (cbrt.f64 N) 1) (cbrt.f64 (.f64 N N)))))
(+.f64 (fma.f64 (cbrt.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (neg.f64 (.f64 (.f64 (sqrt.f64 N) 1) (sqrt.f64 N)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 N) 1)) (sqrt.f64 N) (.f64 (*.f64 (sqrt.f64 N) 1) (sqrt.f64 N))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (cbrt.f64 (+.f64 N 1)) (neg.f64 (.f64 (.f64 (cbrt.f64 N) 1) (cbrt.f64 (.f64 N N))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 N) 1)) (cbrt.f64 (.f64 N N)) (.f64 (.f64 (cbrt.f64 N) 1) (cbrt.f64 (.f64 N N)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (cbrt.f64 (+.f64 N 1)) (neg.f64 (.f64 (.f64 (sqrt.f64 N) 1) (sqrt.f64 N)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 N) 1)) (sqrt.f64 N) (.f64 (*.f64 (sqrt.f64 N) 1) (sqrt.f64 N))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 (+.f64 N 1)) (neg.f64 (.f64 (.f64 (cbrt.f64 N) 1) (cbrt.f64 (.f64 N N))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 N) 1)) (cbrt.f64 (.f64 N N)) (.f64 (.f64 (cbrt.f64 N) 1) (cbrt.f64 (.f64 N N)))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 (+.f64 N 1)) (neg.f64 (.f64 (.f64 (sqrt.f64 N) 1) (sqrt.f64 N)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 N) 1)) (sqrt.f64 N) (.f64 (*.f64 (sqrt.f64 N) 1) (sqrt.f64 N))))
(+.f64 (fma.f64 (+.f64 1 (pow.f64 N 3)) (/.f64 1 (-.f64 (fma.f64 N N 1) N)) (neg.f64 (.f64 (.f64 (cbrt.f64 N) 1) (cbrt.f64 (.f64 N N))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 N) 1)) (cbrt.f64 (.f64 N N)) (.f64 (.f64 (cbrt.f64 N) 1) (cbrt.f64 (.f64 N N)))))
(+.f64 (fma.f64 (+.f64 1 (pow.f64 N 3)) (/.f64 1 (-.f64 (fma.f64 N N 1) N)) (neg.f64 (.f64 (.f64 (sqrt.f64 N) 1) (sqrt.f64 N)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 N) 1)) (sqrt.f64 N) (.f64 (*.f64 (sqrt.f64 N) 1) (sqrt.f64 N))))
(+.f64 (fma.f64 (fma.f64 N N -1) (/.f64 1 (+.f64 N -1)) (neg.f64 (.f64 (.f64 (cbrt.f64 N) 1) (cbrt.f64 (.f64 N N))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 N) 1)) (cbrt.f64 (.f64 N N)) (.f64 (.f64 (cbrt.f64 N) 1) (cbrt.f64 (.f64 N N)))))
(+.f64 (fma.f64 (fma.f64 N N -1) (/.f64 1 (+.f64 N -1)) (neg.f64 (.f64 (.f64 (sqrt.f64 N) 1) (sqrt.f64 N)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 N) 1)) (sqrt.f64 N) (.f64 (*.f64 (sqrt.f64 N) 1) (sqrt.f64 N))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 1 (-.f64 N N)))) (cbrt.f64 (exp.f64 (+.f64 1 (-.f64 N N)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (-.f64 N N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (-.f64 N N))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (-.f64 N N))))))
(*.f64 1 (+.f64 1 (-.f64 N N)))
(*.f64 (+.f64 1 (-.f64 N N)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) 2) (cbrt.f64 (+.f64 1 (-.f64 N N))))
(*.f64 (sqrt.f64 (+.f64 1 (-.f64 N N))) (sqrt.f64 (+.f64 1 (-.f64 N N))))
(*.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)) (/.f64 1 (fma.f64 N (+.f64 N (+.f64 N 1)) (pow.f64 (+.f64 N 1) 2))))
(.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N N)) (/.f64 1 (+.f64 N (+.f64 N 1))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N)) (-.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N)))
(/.f64 1 (/.f64 (fma.f64 N (+.f64 N (+.f64 N 1)) (pow.f64 (+.f64 N 1) 2)) (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3))))
(/.f64 1 (/.f64 (+.f64 N (+.f64 N 1)) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N N))))
(/.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)) (fma.f64 N (+.f64 N (+.f64 N 1)) (pow.f64 (+.f64 N 1) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N N)) (+.f64 N (+.f64 N 1)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3))) (neg.f64 (fma.f64 N (+.f64 N (+.f64 N 1)) (pow.f64 (+.f64 N 1) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N N))) (neg.f64 (+.f64 N (+.f64 N 1))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (fma.f64 N N (-.f64 (pow.f64 (-.f64 1 N) 2) (*.f64 N (-.f64 1 N)))))
(/.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (neg.f64 N) 3)) (+.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 (pow.f64 (neg.f64 N) 2) (*.f64 (+.f64 N 1) (neg.f64 N)))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 (-.f64 1 N) 2)) (-.f64 N (-.f64 1 N)))
(/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 (neg.f64 N) 2)) (-.f64 (+.f64 N 1) (neg.f64 N)))
(pow.f64 (+.f64 1 (-.f64 N N)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) 3)
(pow.f64 (pow.f64 (+.f64 1 (-.f64 N N)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (-.f64 N N)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (-.f64 N N))) 2)
(pow.f64 (/.f64 (fma.f64 N (+.f64 N (+.f64 N 1)) (pow.f64 (+.f64 N 1) 2)) (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3))) -1)
(pow.f64 (/.f64 (+.f64 N (+.f64 N 1)) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N N))) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (-.f64 N N)) 2))
(log.f64 (exp.f64 (+.f64 1 (-.f64 N N))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (-.f64 N N)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 N)) (exp.f64 (-.f64 1 N))))
(log.f64 (*.f64 (exp.f64 (+.f64 N 1)) (/.f64 1 (exp.f64 N))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 N 1))) (exp.f64 (neg.f64 N))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 N 1))) (/.f64 1 (exp.f64 N))))
(log.f64 (*.f64 (exp.f64 (neg.f64 N)) (exp.f64 (+.f64 N 1))))
(log.f64 (*.f64 (exp.f64 (neg.f64 N)) (+.f64 1 (expm1.f64 (+.f64 N 1)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 N)) (exp.f64 (+.f64 N 1))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 N)) (+.f64 1 (expm1.f64 (+.f64 N 1)))))
(log.f64 (*.f64 (exp.f64 (-.f64 1 N)) (exp.f64 N)))
(log.f64 (*.f64 (exp.f64 (-.f64 1 N)) (+.f64 1 (expm1.f64 N))))
(log.f64 (/.f64 (exp.f64 (+.f64 N 1)) (+.f64 1 (expm1.f64 N))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (+.f64 N 1))) (exp.f64 N)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (+.f64 N 1))) (+.f64 1 (expm1.f64 N))))
(cbrt.f64 (pow.f64 (+.f64 1 (-.f64 N N)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (-.f64 N N))))
(exp.f64 (log1p.f64 (-.f64 N N)))
(exp.f64 (*.f64 (log1p.f64 (-.f64 N N)) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (-.f64 N N)) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (-.f64 N N))) 3))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (-.f64 N N))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (-.f64 N N))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (-.f64 N N))))
(fma.f64 N 1 (-.f64 1 N))
(fma.f64 N 1 (*.f64 (-.f64 1 N) 1))
(fma.f64 1 N (-.f64 1 N))
(fma.f64 1 N (*.f64 (-.f64 1 N) 1))
(fma.f64 1 (+.f64 N 1) (neg.f64 N))
(fma.f64 1 (+.f64 N 1) (*.f64 (neg.f64 N) 1))
(fma.f64 1 (+.f64 1 (-.f64 N N)) (fma.f64 (neg.f64 N) 1 N))
(fma.f64 1 (+.f64 1 (-.f64 N N)) (fma.f64 (neg.f64 (cbrt.f64 N)) (cbrt.f64 (*.f64 N N)) N))
(fma.f64 1 (+.f64 1 (-.f64 N N)) (+.f64 (neg.f64 N) N))
(fma.f64 1 (neg.f64 N) (+.f64 N 1))
(fma.f64 1 (-.f64 1 N) N)
(fma.f64 (+.f64 N 1) 1 (neg.f64 N))
(fma.f64 (+.f64 N 1) 1 (*.f64 (neg.f64 N) 1))
(fma.f64 (+.f64 1 (-.f64 N N)) 1 (fma.f64 (neg.f64 N) 1 N))
(fma.f64 (+.f64 1 (-.f64 N N)) 1 (fma.f64 (neg.f64 (cbrt.f64 N)) (cbrt.f64 (*.f64 N N)) N))
(fma.f64 (+.f64 1 (-.f64 N N)) 1 (+.f64 (neg.f64 N) N))
(fma.f64 (cbrt.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (neg.f64 N))
(fma.f64 (cbrt.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (*.f64 (neg.f64 N) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (cbrt.f64 (+.f64 N 1)) (neg.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (cbrt.f64 (+.f64 N 1)) (*.f64 (neg.f64 N) 1))
(fma.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) 2) (fma.f64 (neg.f64 N) 1 N))
(fma.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) 2) (fma.f64 (neg.f64 (cbrt.f64 N)) (cbrt.f64 (*.f64 N N)) N))
(fma.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) 2) (+.f64 (neg.f64 N) N))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) 2) (cbrt.f64 (+.f64 1 (-.f64 N N))) (fma.f64 (neg.f64 N) 1 N))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) 2) (cbrt.f64 (+.f64 1 (-.f64 N N))) (fma.f64 (neg.f64 (cbrt.f64 N)) (cbrt.f64 (*.f64 N N)) N))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) 2) (cbrt.f64 (+.f64 1 (-.f64 N N))) (+.f64 (neg.f64 N) N))
(fma.f64 (cbrt.f64 N) (cbrt.f64 (*.f64 N N)) (-.f64 1 N))
(fma.f64 (cbrt.f64 N) (cbrt.f64 (.f64 N N)) (.f64 (-.f64 1 N) 1))
(fma.f64 (cbrt.f64 (*.f64 N N)) (cbrt.f64 N) (-.f64 1 N))
(fma.f64 (cbrt.f64 (.f64 N N)) (cbrt.f64 N) (.f64 (-.f64 1 N) 1))
(fma.f64 (cbrt.f64 (*.f64 N N)) (neg.f64 (cbrt.f64 N)) (+.f64 N 1))
(fma.f64 (cbrt.f64 (.f64 N N)) (.f64 (cbrt.f64 N) 1) (-.f64 1 N))
(fma.f64 (cbrt.f64 (.f64 N N)) (.f64 (cbrt.f64 N) 1) (*.f64 (-.f64 1 N) 1))
(fma.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 (+.f64 N 1)) (neg.f64 N))
(fma.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 (+.f64 N 1)) (*.f64 (neg.f64 N) 1))
(fma.f64 (sqrt.f64 (+.f64 1 (-.f64 N N))) (sqrt.f64 (+.f64 1 (-.f64 N N))) (fma.f64 (neg.f64 N) 1 N))
(fma.f64 (sqrt.f64 (+.f64 1 (-.f64 N N))) (sqrt.f64 (+.f64 1 (-.f64 N N))) (fma.f64 (neg.f64 (cbrt.f64 N)) (cbrt.f64 (*.f64 N N)) N))
(fma.f64 (sqrt.f64 (+.f64 1 (-.f64 N N))) (sqrt.f64 (+.f64 1 (-.f64 N N))) (+.f64 (neg.f64 N) N))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (-.f64 1 N))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (*.f64 (-.f64 1 N) 1))
(fma.f64 (sqrt.f64 N) (neg.f64 (sqrt.f64 N)) (+.f64 N 1))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) 1) (-.f64 1 N))
(fma.f64 (sqrt.f64 N) (.f64 (sqrt.f64 N) 1) (.f64 (-.f64 1 N) 1))
(fma.f64 (+.f64 1 (pow.f64 N 3)) (/.f64 1 (-.f64 (fma.f64 N N 1) N)) (neg.f64 N))
(fma.f64 (+.f64 1 (pow.f64 N 3)) (/.f64 1 (-.f64 (fma.f64 N N 1) N)) (*.f64 (neg.f64 N) 1))
(fma.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)) (/.f64 1 (fma.f64 N (+.f64 N (+.f64 N 1)) (pow.f64 (+.f64 N 1) 2))) (fma.f64 (neg.f64 N) 1 N))
(fma.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)) (/.f64 1 (fma.f64 N (+.f64 N (+.f64 N 1)) (pow.f64 (+.f64 N 1) 2))) (fma.f64 (neg.f64 (cbrt.f64 N)) (cbrt.f64 (*.f64 N N)) N))
(fma.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)) (/.f64 1 (fma.f64 N (+.f64 N (+.f64 N 1)) (pow.f64 (+.f64 N 1) 2))) (+.f64 (neg.f64 N) N))
(fma.f64 (fma.f64 N N -1) (/.f64 1 (+.f64 N -1)) (neg.f64 N))
(fma.f64 (fma.f64 N N -1) (/.f64 1 (+.f64 N -1)) (*.f64 (neg.f64 N) 1))
(fma.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N N)) (/.f64 1 (+.f64 N (+.f64 N 1))) (fma.f64 (neg.f64 N) 1 N))
(fma.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N N)) (/.f64 1 (+.f64 N (+.f64 N 1))) (fma.f64 (neg.f64 (cbrt.f64 N)) (cbrt.f64 (.f64 N N)) N))
(fma.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N N)) (/.f64 1 (+.f64 N (+.f64 N 1))) (+.f64 (neg.f64 N) N))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 N)) (cbrt.f64 (neg.f64 N))) (cbrt.f64 (neg.f64 N)) (+.f64 N 1))
(fma.f64 (*.f64 (cbrt.f64 (-.f64 1 N)) (cbrt.f64 (-.f64 1 N))) (cbrt.f64 (-.f64 1 N)) N)
(fma.f64 (sqrt.f64 (neg.f64 N)) (sqrt.f64 (neg.f64 N)) (+.f64 N 1))
(fma.f64 (sqrt.f64 (-.f64 1 N)) (sqrt.f64 (-.f64 1 N)) N)
(fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) (+.f64 N 1))
(fma.f64 -1 N (+.f64 N 1))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N)) (-.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N)) (fma.f64 (neg.f64 N) 1 N))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N)) (-.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 N)) (cbrt.f64 (*.f64 N N)) N))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N)) (-.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N)) (+.f64 (neg.f64 N) N))
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 N N))) (cbrt.f64 N) (+.f64 N 1))
(+.f64 0 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (exp.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))))))) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))))) 1)
(*.f64 1 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))))
(*.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))) 1)
(*.f64 (cbrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (pow.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))) 2)) (cbrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))))
(*.f64 (sqrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))))
(pow.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))) 1)
(pow.f64 (cbrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))) 3)
(pow.f64 (pow.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))) 2) 1/2)
(pow.f64 (pow.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))) 2))
(log.f64 (exp.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))))))
(cbrt.f64 (pow.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (log.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))))) 2))
(log1p.f64 (expm1.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))))
(+.f64 N (*.f64 N N))
(+.f64 0 (fma.f64 N N N))
(+.f64 (*.f64 N N) N)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 N N N))) (cbrt.f64 (exp.f64 (fma.f64 N N N))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 N N N)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 N N N)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 N N N)))))
(-.f64 (+.f64 1 (fma.f64 N N N)) 1)
(/.f64 (*.f64 N (+.f64 1 (pow.f64 N 3))) (-.f64 (fma.f64 N N 1) N))
(/.f64 (*.f64 N (fma.f64 N N -1)) (+.f64 N -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 N 3)) N) (-.f64 (fma.f64 N N 1) N))
(/.f64 (*.f64 (fma.f64 N N -1) N) (+.f64 N -1))
(pow.f64 (fma.f64 N N N) 1)
(pow.f64 (cbrt.f64 (fma.f64 N N N)) 3)
(pow.f64 (pow.f64 (fma.f64 N N N) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 N N N) 3) 1/3)
(pow.f64 (hypot.f64 N (sqrt.f64 N)) 2)
(sqrt.f64 (pow.f64 (fma.f64 N N N) 2))
(log.f64 (exp.f64 (fma.f64 N N N)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N N))))
(log.f64 (.f64 (exp.f64 N) (exp.f64 (.f64 N N))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 N)) (exp.f64 (.f64 N N))))
(log.f64 (.f64 (exp.f64 (.f64 N N)) (exp.f64 N)))
(log.f64 (.f64 (exp.f64 (.f64 N N)) (+.f64 1 (expm1.f64 N))))
(cbrt.f64 (pow.f64 (fma.f64 N N N) 3))
(expm1.f64 (log1p.f64 (fma.f64 N N N)))
(expm1.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1))
(exp.f64 (log.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log.f64 (fma.f64 N N N)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 N N N)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 N N N))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 N N N))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 N N N)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (hypot.f64 N (sqrt.f64 N))) 2))
(log1p.f64 (expm1.f64 (fma.f64 N N N)))
(fma.f64 N N N)
(fma.f64 N 1 (*.f64 N N))
(fma.f64 1 N (*.f64 N N))
(fma.f64 1 (+.f64 1 (fma.f64 N N N)) -1)
(fma.f64 1 (*.f64 N N) N)
(fma.f64 (+.f64 1 (fma.f64 N N N)) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) (cbrt.f64 (+.f64 1 (fma.f64 N N N))) -1)
(fma.f64 (cbrt.f64 N) (cbrt.f64 (.f64 N N)) (.f64 N N))
(fma.f64 (cbrt.f64 (.f64 N N)) (cbrt.f64 N) (.f64 N N))
(fma.f64 (cbrt.f64 (.f64 N N)) (.f64 (cbrt.f64 N) N) N)
(fma.f64 (cbrt.f64 (.f64 N N)) (.f64 (cbrt.f64 N) 1) (*.f64 N N))
(fma.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) -1)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (*.f64 N N))
(fma.f64 (sqrt.f64 N) (pow.f64 N 3/2) N)
(fma.f64 (sqrt.f64 N) (.f64 (sqrt.f64 N) 1) (.f64 N N))
(fma.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (/.f64 1 (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) 1) 1)) -1)
(fma.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (/.f64 1 (-.f64 1 (fma.f64 N N N))) -1)
(fma.f64 (.f64 (cbrt.f64 N) N) (cbrt.f64 (.f64 N N)) N)
(fma.f64 (pow.f64 N 3/2) (sqrt.f64 N) N)
(fma.f64 (pow.f64 (cbrt.f64 N) 5) (cbrt.f64 N) N)

Outputs
1
1
1
1
1
1
1
1
1
1
1
1
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (.f64 N (-.f64 1 (.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (.f64 N (-.f64 1 (.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (.f64 N (-.f64 1 (.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (.f64 N (-.f64 1 (.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
N
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(fma.f64 N N N)
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(fma.f64 N N N)
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(fma.f64 N N N)
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(pow.f64 N 2)
(*.f64 N N)
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(fma.f64 N N N)
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(fma.f64 N N N)
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(fma.f64 N N N)
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1
(+.f64 N (*.f64 (-.f64 1 N) 1))
1
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1
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1
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1
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1
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(-.f64 1 (fma.f64 (cbrt.f64 N) (cbrt.f64 (*.f64 N N)) (neg.f64 N)))
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1
(+.f64 (+.f64 1 (-.f64 N N)) (fma.f64 -1 N N))
1
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1
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1
(+.f64 (-.f64 1 N) N)
1
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1
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1
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1
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1
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(-.f64 1 (fma.f64 (cbrt.f64 N) (cbrt.f64 (*.f64 N N)) (neg.f64 N)))
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1
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(-.f64 (/.f64 (+.f64 1 (pow.f64 N 3)) (-.f64 (fma.f64 N N 1) N)) N)
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(-.f64 (/.f64 (fma.f64 N N -1) (+.f64 N -1)) N)
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(*.f64 2 (log.f64 (sqrt.f64 (E.f64))))
(*.f64 1 (+.f64 1 (-.f64 N N)))
1
(*.f64 (+.f64 1 (-.f64 N N)) 1)
1
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1
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1
(*.f64 (sqrt.f64 (+.f64 1 (-.f64 N N))) (sqrt.f64 (+.f64 1 (-.f64 N N))))
1
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1
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1
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1
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1
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1
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1
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1
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1
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1
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 N 1))) (/.f64 1 (exp.f64 N))))
1
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1
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1
(log.f64 (*.f64 (/.f64 1 (exp.f64 N)) (exp.f64 (+.f64 N 1))))
1
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1
(log.f64 (*.f64 (exp.f64 (-.f64 1 N)) (exp.f64 N)))
1
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1
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1
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (+.f64 N 1))) (exp.f64 N)))
1
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (+.f64 N 1))) (+.f64 1 (expm1.f64 N))))
1
(cbrt.f64 (pow.f64 (+.f64 1 (-.f64 N N)) 3))
1
(expm1.f64 (log1p.f64 (+.f64 1 (-.f64 N N))))
1
(exp.f64 (log1p.f64 (-.f64 N N)))
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1
(fma.f64 N 1 (-.f64 1 N))
1
(fma.f64 N 1 (*.f64 (-.f64 1 N) 1))
1
(fma.f64 1 N (-.f64 1 N))
1
(fma.f64 1 N (*.f64 (-.f64 1 N) 1))
1
(fma.f64 1 (+.f64 N 1) (neg.f64 N))
1
(fma.f64 1 (+.f64 N 1) (*.f64 (neg.f64 N) 1))
1
(fma.f64 1 (+.f64 1 (-.f64 N N)) (fma.f64 (neg.f64 N) 1 N))
1
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1
(fma.f64 1 (neg.f64 N) (+.f64 N 1))
1
(fma.f64 1 (-.f64 1 N) N)
1
(fma.f64 (+.f64 N 1) 1 (neg.f64 N))
1
(fma.f64 (+.f64 N 1) 1 (*.f64 (neg.f64 N) 1))
1
(fma.f64 (+.f64 1 (-.f64 N N)) 1 (fma.f64 (neg.f64 N) 1 N))
1
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1
(fma.f64 (cbrt.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (neg.f64 N))
1
(fma.f64 (cbrt.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (*.f64 (neg.f64 N) 1))
1
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (cbrt.f64 (+.f64 N 1)) (neg.f64 N))
1
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (cbrt.f64 (+.f64 N 1)) (*.f64 (neg.f64 N) 1))
1
(fma.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) 2) (fma.f64 (neg.f64 N) 1 N))
1
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1
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) 2) (cbrt.f64 (+.f64 1 (-.f64 N N))) (fma.f64 (neg.f64 N) 1 N))
1
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1
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(fma.f64 (cbrt.f64 N) (cbrt.f64 (*.f64 N N)) (-.f64 1 N))
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(fma.f64 (cbrt.f64 N) (cbrt.f64 (*.f64 N N)) (-.f64 1 N))
(fma.f64 (cbrt.f64 (.f64 N N)) (cbrt.f64 N) (.f64 (-.f64 1 N) 1))
(fma.f64 (cbrt.f64 N) (cbrt.f64 (*.f64 N N)) (-.f64 1 N))
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(fma.f64 (cbrt.f64 N) (cbrt.f64 (*.f64 N N)) (-.f64 1 N))
(fma.f64 (cbrt.f64 (.f64 N N)) (.f64 (cbrt.f64 N) 1) (*.f64 (-.f64 1 N) 1))
(fma.f64 (cbrt.f64 N) (cbrt.f64 (*.f64 N N)) (-.f64 1 N))
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1
(fma.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 (+.f64 N 1)) (*.f64 (neg.f64 N) 1))
1
(fma.f64 (sqrt.f64 (+.f64 1 (-.f64 N N))) (sqrt.f64 (+.f64 1 (-.f64 N N))) (fma.f64 (neg.f64 N) 1 N))
1
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1
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (-.f64 1 N))
1
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1
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1
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1
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1
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(*.f64 1 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))) 1)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (cbrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (pow.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))) 2)))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))) 2)) (cbrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(*.f64 (sqrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))) 1)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (cbrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))) 3)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (pow.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))) 2) 1/2)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (pow.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))) 3) 1/3)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (sqrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))) 2)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(sqrt.f64 (pow.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))) 2))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(log.f64 (exp.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(cbrt.f64 (pow.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))) 3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(expm1.f64 (log1p.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(exp.f64 (log.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(exp.f64 (*.f64 (log.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(exp.f64 (.f64 (.f64 (log.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))) 1) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))))) 3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))))) 1/3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N))))) 2))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(log1p.f64 (expm1.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(+.f64 N (*.f64 N N))
(fma.f64 N N N)
(+.f64 0 (fma.f64 N N N))
(fma.f64 N N N)
(+.f64 (*.f64 N N) N)
(fma.f64 N N N)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 N N N))) (cbrt.f64 (exp.f64 (fma.f64 N N N))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 N N N)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 N N N))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 N N N)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 N N N)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 N N N)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 N N N)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 N N N)))))
(-.f64 (+.f64 1 (fma.f64 N N N)) 1)
(fma.f64 N N N)
(/.f64 (*.f64 N (+.f64 1 (pow.f64 N 3))) (-.f64 (fma.f64 N N 1) N))
(/.f64 (+.f64 1 (pow.f64 N 3)) (/.f64 (-.f64 (fma.f64 N N 1) N) N))
(/.f64 (+.f64 N (pow.f64 N 4)) (-.f64 (fma.f64 N N 1) N))
(/.f64 (*.f64 N (fma.f64 N N -1)) (+.f64 N -1))
(/.f64 N (/.f64 (+.f64 N -1) (fma.f64 N N -1)))
(*.f64 (/.f64 (fma.f64 N N -1) (+.f64 N -1)) N)
(/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 N 3)) N) (-.f64 (fma.f64 N N 1) N))
(/.f64 (+.f64 1 (pow.f64 N 3)) (/.f64 (-.f64 (fma.f64 N N 1) N) N))
(/.f64 (+.f64 N (pow.f64 N 4)) (-.f64 (fma.f64 N N 1) N))
(/.f64 (*.f64 (fma.f64 N N -1) N) (+.f64 N -1))
(/.f64 N (/.f64 (+.f64 N -1) (fma.f64 N N -1)))
(*.f64 (/.f64 (fma.f64 N N -1) (+.f64 N -1)) N)
(/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))
(pow.f64 (fma.f64 N N N) 1)
(fma.f64 N N N)
(pow.f64 (cbrt.f64 (fma.f64 N N N)) 3)
(fma.f64 N N N)
(pow.f64 (pow.f64 (fma.f64 N N N) 2) 1/2)
(fma.f64 N N N)
(pow.f64 (pow.f64 (fma.f64 N N N) 3) 1/3)
(fma.f64 N N N)
(pow.f64 (hypot.f64 N (sqrt.f64 N)) 2)
(fma.f64 N N N)
(sqrt.f64 (pow.f64 (fma.f64 N N N) 2))
(fma.f64 N N N)
(log.f64 (exp.f64 (fma.f64 N N N)))
(fma.f64 N N N)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N N))))
(fma.f64 N N N)
(log.f64 (.f64 (exp.f64 N) (exp.f64 (.f64 N N))))
(fma.f64 N N N)
(log.f64 (.f64 (+.f64 1 (expm1.f64 N)) (exp.f64 (.f64 N N))))
(fma.f64 N N N)
(log.f64 (.f64 (exp.f64 (.f64 N N)) (exp.f64 N)))
(fma.f64 N N N)
(log.f64 (.f64 (exp.f64 (.f64 N N)) (+.f64 1 (expm1.f64 N))))
(fma.f64 N N N)
(cbrt.f64 (pow.f64 (fma.f64 N N N) 3))
(fma.f64 N N N)
(expm1.f64 (log1p.f64 (fma.f64 N N N)))
(fma.f64 N N N)
(expm1.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1))
(fma.f64 N N N)
(exp.f64 (log.f64 (fma.f64 N N N)))
(fma.f64 N N N)
(exp.f64 (*.f64 (log.f64 (fma.f64 N N N)) 1))
(fma.f64 N N N)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 N N N)) 1) 1))
(fma.f64 N N N)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 N N N))) 3))
(fma.f64 N N N)
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 N N N))) 1/3))
(fma.f64 N N N)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 N N N)) 3) 1/3))
(fma.f64 N N N)
(exp.f64 (*.f64 (log.f64 (hypot.f64 N (sqrt.f64 N))) 2))
(fma.f64 N N N)
(log1p.f64 (expm1.f64 (fma.f64 N N N)))
(fma.f64 N N N)
(fma.f64 N N N)
(fma.f64 N 1 (*.f64 N N))
(fma.f64 N N N)
(fma.f64 1 N (*.f64 N N))
(fma.f64 N N N)
(fma.f64 1 (+.f64 1 (fma.f64 N N N)) -1)
(fma.f64 N N N)
(fma.f64 1 (*.f64 N N) N)
(fma.f64 N N N)
(fma.f64 (+.f64 1 (fma.f64 N N N)) 1 -1)
(fma.f64 N N N)
(fma.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) -1)
(fma.f64 N N N)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) (cbrt.f64 (+.f64 1 (fma.f64 N N N))) -1)
(fma.f64 N N N)
(fma.f64 (cbrt.f64 N) (cbrt.f64 (.f64 N N)) (.f64 N N))
(fma.f64 (cbrt.f64 (.f64 N N)) (cbrt.f64 N) (.f64 N N))
(fma.f64 (cbrt.f64 N) (cbrt.f64 (.f64 N N)) (.f64 N N))
(fma.f64 (cbrt.f64 (.f64 N N)) (.f64 (cbrt.f64 N) N) N)
(fma.f64 (cbrt.f64 (.f64 N N)) (.f64 N (cbrt.f64 N)) N)
(fma.f64 (cbrt.f64 (.f64 N N)) (.f64 (cbrt.f64 N) 1) (*.f64 N N))
(fma.f64 (cbrt.f64 N) (cbrt.f64 (.f64 N N)) (.f64 N N))
(fma.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) -1)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (*.f64 N N))
(fma.f64 N N N)
(fma.f64 (sqrt.f64 N) (pow.f64 N 3/2) N)
(fma.f64 (sqrt.f64 N) (.f64 (sqrt.f64 N) 1) (.f64 N N))
(fma.f64 N N N)
(fma.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (/.f64 1 (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) 1) 1)) -1)
(fma.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (/.f64 1 (fma.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1) 1)) -1)
(fma.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (/.f64 1 (fma.f64 (fma.f64 N N N) (+.f64 N (fma.f64 N N -1)) 1)) -1)
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (fma.f64 (fma.f64 N N N) (+.f64 N (fma.f64 N N -1)) 1)))
(fma.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (/.f64 1 (-.f64 1 (fma.f64 N N N))) -1)
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (-.f64 1 (fma.f64 N N N))))
(fma.f64 (.f64 (cbrt.f64 N) N) (cbrt.f64 (.f64 N N)) N)
(fma.f64 (cbrt.f64 (.f64 N N)) (.f64 N (cbrt.f64 N)) N)
(fma.f64 (pow.f64 N 3/2) (sqrt.f64 N) N)
(fma.f64 (sqrt.f64 N) (pow.f64 N 3/2) N)
(fma.f64 (pow.f64 (cbrt.f64 N) 5) (cbrt.f64 N) N)
(+.f64 N (pow.f64 (cbrt.f64 N) 6))

localize66.0ms (1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	99.5%	(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
✓	99.0%	(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)
✓	86.6%	(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))

Compiler

Compiled 43 to 33 computations (23.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	N	@	inf	(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)
1.0ms	N	@	-inf	(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)
1.0ms	N	@	0	(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)
0.0ms	N	@	0	(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
0.0ms	N	@	-inf	(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))

rewrite68.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

910×	`log-prod`
714×	`exp-prod`
606×	`prod-exp`
542×	`pow-prod-down`
514×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	245	48
2	2668	48

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)

Outputs
(+.f64 0 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3)
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) 3/2)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 6) 1/6)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 9) 1/9)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/2)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2) 2/3)
(pow.f64 (exp.f64 1/3) (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2)) (cbrt.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (sqrt.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) 3/2))
(exp.f64 (.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1) 1))
(exp.f64 (.f64 (.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3) 1))
(exp.f64 (.f64 (.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(+.f64 0 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))) 1)
(*.f64 1 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1)
(.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) (.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 5/2))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2))
(.f64 (.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1) (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(.f64 (pow.f64 (.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 5/2) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 6))
(log.f64 (exp.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 9))
(expm1.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)))
(exp.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(exp.f64 (.f64 (.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1) 3))
(exp.f64 (.f64 (.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3) 3))
(exp.f64 (.f64 (.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 9)) 1/3))
(exp.f64 (.f64 (.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3/2) 2))
(exp.f64 (+.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1) (.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(exp.f64 (+.f64 (.f64 (.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3) (*.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(exp.f64 (+.f64 (.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)))
(exp.f64 (+.f64 (.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3)))
(exp.f64 (+.f64 (.f64 3/2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3/2) (.f64 3/2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(exp.f64 (+.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3/2) (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3/2)))
(log1p.f64 (expm1.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)))

simplify124.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

684×	`exp-prod`
634×	`fma-def`
588×	`unswap-sqr`
552×	`distribute-lft-out`
528×	`prod-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	178	2603
1	368	2521
2	887	2521
3	3920	2521

Stop Event

1×	node limit

Counts

97 → 85

Calls

Call 1

Inputs
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 3)
(+.f64 0 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3)
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) 3/2)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 6) 1/6)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 9) 1/9)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/2)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2) 2/3)
(pow.f64 (exp.f64 1/3) (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2)) (cbrt.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (sqrt.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) 3/2))
(exp.f64 (.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1) 1))
(exp.f64 (.f64 (.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3) 1))
(exp.f64 (.f64 (.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(+.f64 0 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))) 1)
(*.f64 1 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1)
(.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) (.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 5/2))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2))
(.f64 (.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1) (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(.f64 (pow.f64 (.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 5/2) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 6))
(log.f64 (exp.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 9))
(expm1.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)))
(exp.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(exp.f64 (.f64 (.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1) 3))
(exp.f64 (.f64 (.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3) 3))
(exp.f64 (.f64 (.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 9)) 1/3))
(exp.f64 (.f64 (.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3/2) 2))
(exp.f64 (+.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1) (.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(exp.f64 (+.f64 (.f64 (.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3) (*.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(exp.f64 (+.f64 (.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)))
(exp.f64 (+.f64 (.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3)))
(exp.f64 (+.f64 (.f64 3/2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3/2) (.f64 3/2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(exp.f64 (+.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3/2) (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3/2)))
(log1p.f64 (expm1.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)))

Outputs
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)
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(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)
(exp.f64 (+.f64 (.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)
(exp.f64 (+.f64 (.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3)))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)
(exp.f64 (+.f64 (.f64 3/2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3/2)))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)
(exp.f64 (+.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3/2) (.f64 3/2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)
(exp.f64 (+.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3/2) (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3/2)))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)
(log1p.f64 (expm1.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)

localize97.0ms (1.4%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
	99.5%	(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
✓	78.7%	(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))

Compiler

Compiled 42 to 32 computations (23.8% saved)

series8.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	N	@	-inf	(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
2.0ms	N	@	0	(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
2.0ms	N	@	-inf	(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
2.0ms	N	@	inf	(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
1.0ms	N	@	inf	(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)

rewrite72.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

910×	`log-prod`
714×	`exp-prod`
606×	`prod-exp`
542×	`pow-prod-down`
514×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	245	46
2	2669	46

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

Inputs
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)

Outputs
(+.f64 0 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 1)
(*.f64 1 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/3)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)
(pow.f64 (E.f64) (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2) 3/2)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/6)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/9)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2/3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) 2)
(pow.f64 (exp.f64 1/3) (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) (sqrt.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))
(log.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(exp.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/3) 1))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 3))
(exp.f64 (.f64 (.f64 1/6 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) 3/2))
(log1p.f64 (expm1.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(+.f64 0 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2) (.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 5/6))
(.f64 (.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) 1) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(.f64 (pow.f64 (.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 5/6) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/3) 3))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) 3))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2) 2))
(exp.f64 (+.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/3) (.f64 2/3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) (.f64 2/3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/3)))
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2) (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2) (.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))

simplify75.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

796×	`distribute-lft-out`
782×	`fma-def`
636×	`log-prod`
600×	`associate-*r/`
540×	`exp-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	179	4294970119
1	370	2531
2	946	2531
3	3835	2531

Stop Event

1×	node limit

Counts

97 → 96

Calls

Call 1

Inputs
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 1/3)
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (-.f64 1 (.f64 -1 N)) 1)))
(.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (-.f64 1 (.f64 -1 N)) 1)))
(.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (-.f64 1 (.f64 -1 N)) 1)))
(.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (-.f64 1 (.f64 -1 N)) 1)))
(+.f64 0 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 1)
(*.f64 1 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/3)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)
(pow.f64 (E.f64) (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2) 3/2)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/6)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/9)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2/3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) 2)
(pow.f64 (exp.f64 1/3) (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) (sqrt.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))
(log.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(exp.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/3) 1))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 3))
(exp.f64 (.f64 (.f64 1/6 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) 3/2))
(log1p.f64 (expm1.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(+.f64 0 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2) (.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 5/6))
(.f64 (.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) 1) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(.f64 (pow.f64 (.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 5/6) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/3) 3))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) 3))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2) 2))
(exp.f64 (+.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/3) (.f64 2/3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) (.f64 2/3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/3)))
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2) (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2) (.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))

Outputs
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (-.f64 1 (.f64 -1 N)) 1)))
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (-.f64 1 (.f64 -1 N)) 1)))
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (-.f64 1 (.f64 -1 N)) 1)))
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (-.f64 1 (.f64 -1 N)) 1)))
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(+.f64 0 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) 3)
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 1)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(*.f64 1 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(pow.f64 (E.f64) (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) 1/2)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
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(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2) (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2) (.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2)))
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))

localize75.0ms (1.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	99.5%	(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
✓	99.0%	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
✓	79.4%	(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))

Compiler

Compiled 42 to 32 computations (23.8% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	N	@	-inf	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
0.0ms	N	@	inf	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
0.0ms	N	@	0	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
0.0ms	N	@	0	(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
0.0ms	N	@	inf	(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))

rewrite72.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1150×	`unpow-prod-down`
882×	`log-prod`
580×	`prod-exp`
522×	`pow-prod-down`
490×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	244	46
2	2609	46

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

Inputs
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)

Outputs
(+.f64 0 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 1)
(*.f64 1 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 5/6) 1/3))
(*.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)) (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4) 1/2))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4) 1/2) (sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 5/6) 1/2) (sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) 2) 3) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 4) 1/3) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 5/4) 1/3) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/2)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3/2)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/6)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2) 1/3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) 2)
(fabs.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(exp.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) 3))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(+.f64 0 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 4) 1/2))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 5/6) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2) 3) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 4) 1/2) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 5) 1/2) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 5/2) 1/3) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/2) 2))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3))
(exp.f64 (.f64 (.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/2) (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(exp.f64 (+.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/2) (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/2) (.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) (.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))

simplify104.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1460×	`log-prod`
640×	`log-pow`
602×	`exp-prod`
560×	`fma-def`
528×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	3091
1	427	3005
2	1080	2977
3	3509	2977
4	6925	2977

Stop Event

1×	node limit

Counts

107 → 109

Calls

Call 1

Inputs
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(+.f64 0 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 1)
(*.f64 1 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 5/6) 1/3))
(*.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)) (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4) 1/2))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4) 1/2) (sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 5/6) 1/2) (sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) 2) 3) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 4) 1/3) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 5/4) 1/3) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/2)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3/2)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/6)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2) 1/3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) 2)
(fabs.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(exp.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) 3))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(+.f64 0 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 4) 1/2))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 5/6) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2) 3) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 4) 1/2) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 5) 1/2) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 5/2) 1/3) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/2) 2))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3))
(exp.f64 (.f64 (.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/2) (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(exp.f64 (+.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/2) (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/2) (.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) (.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))

Outputs
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(+.f64 0 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 1)
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 1 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 5/6) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 5/6)))
(*.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)) (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)) (sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4)))
(*.f64 (fabs.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/8)) (sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4)))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/8) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/8))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4) 1/2) (sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)))
(*.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)) (sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4)))
(*.f64 (fabs.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/8)) (sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4)))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/8) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/8))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 5/6) 1/2) (sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)))
(*.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 5/6)) (sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)))
(*.f64 (fabs.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 5/12)) (fabs.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/12)))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 5/12) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/12))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) 2) 3) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) 3))
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(fabs.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
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(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1))
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(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
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(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
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(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
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(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
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(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) (.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
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eval364.0ms (5.4%)

Compiler: Compiled 13234 to 8647 computations (34.7% saved)

prune132.0ms (2%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	706	7	713
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	707	11	718

Accurracy

99.5%

Counts

718 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(pow.f64 (*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/8) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/8)) 2)
✓	98.5%	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
	98.9%	(pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)) 3)
✓	97.3%	(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
✓	99.5%	(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
▶	53.1%	(atan2.f64 1 (+.f64 N (*.f64 N N)))
▶	58.3%	(atan2.f64 1 (+.f64 N 1))
▶	99.5%	(atan2.f64 1 (+.f64 1 (*.f64 (+.f64 N 1) N)))
▶	52.8%	(atan2.f64 1 (*.f64 N N))
▶	56.8%	(atan2.f64 1 1)
✓	86.7%	(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))

Compiler

Compiled 191 to 148 computations (22.5% saved)

localize41.0ms (0.6%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(*.f64 (+.f64 N 1) N)
✓	99.5%	(atan2.f64 1 (+.f64 1 (*.f64 (+.f64 N 1) N)))

Compiler

Compiled 28 to 20 computations (28.6% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	N	@	0	(atan2.f64 1 (+.f64 1 (*.f64 (+.f64 N 1) N)))
0.0ms	N	@	inf	(atan2.f64 1 (+.f64 1 (*.f64 (+.f64 N 1) N)))
0.0ms	N	@	-inf	(atan2.f64 1 (+.f64 1 (*.f64 (+.f64 N 1) N)))

rewrite59.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1774×	`pow1`
1642×	`log1p-expm1-u`
1642×	`expm1-log1p-u`
1640×	`add-exp-log`
1614×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	170	21
2	2276	21

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

Inputs
(atan2.f64 1 (+.f64 1 (*.f64 (+.f64 N 1) N)))

Outputs
(-.f64 (+.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))

simplify67.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1186×	`fma-neg`
964×	`log-prod`
696×	`fma-def`
670×	`exp-prod`
448×	`exp-sum`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	588
1	105	588
2	328	588
3	1731	588
4	4038	588
5	5947	588

Stop Event

1×	node limit

Counts

28 → 21

Calls

Call 1

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

Outputs
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 1 (.f64 N (-.f64 1 (.f64 -1 N)))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 1 (.f64 N (-.f64 1 (.f64 -1 N)))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 1 (.f64 N (-.f64 1 (.f64 -1 N)))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 1 (.f64 N (-.f64 1 (.f64 -1 N)))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(-.f64 (+.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3) 1/3)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))

localize23.0ms (0.3%)

Compiler: Compiled 6 to 6 computations (0% saved)

localize26.0ms (0.4%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(atan2.f64 1 (*.f64 N N))

Compiler

Compiled 12 to 6 computations (50% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	N	@	0	(atan2.f64 1 (*.f64 N N))
0.0ms	N	@	inf	(atan2.f64 1 (*.f64 N N))
0.0ms	N	@	-inf	(atan2.f64 1 (*.f64 N N))

rewrite79.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

918×	`pow1`
880×	`add-sqr-sqrt`
868×	`*-un-lft-identity`
840×	`add-exp-log`
838×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	111	13
2	1201	13

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(atan2.f64 1 (*.f64 N N))

Outputs
(+.f64 0 (atan2.f64 1 (*.f64 N N)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (.f64 N N))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (.f64 N N))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (.f64 N N)))) (cbrt.f64 (exp.f64 (atan2.f64 1 (.f64 N N)))))) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (.f64 N N))))))
(-.f64 (+.f64 1 (atan2.f64 1 (*.f64 N N))) 1)
(.f64 1 (atan2.f64 1 (.f64 N N)))
(.f64 (atan2.f64 1 (.f64 N N)) 1)
(.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N))) (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2)))
(.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (.f64 N N)) 2)) (cbrt.f64 (atan2.f64 1 (*.f64 N N))))
(.f64 (sqrt.f64 (atan2.f64 1 (.f64 N N))) (sqrt.f64 (atan2.f64 1 (*.f64 N N))))
(pow.f64 (atan2.f64 1 (*.f64 N N)) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (*.f64 N N))))
(exp.f64 (log.f64 (atan2.f64 1 (*.f64 N N))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (*.f64 N N))))

simplify52.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1622×	`fma-def`
1194×	`distribute-lft-in`
1040×	`distribute-rgt-in`
662×	`log-prod`
436×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	471
1	84	451
2	323	421
3	2091	421
4	6506	421

Stop Event

1×	node limit

Counts

31 → 24

Calls

Call 1

Inputs
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(+.f64 0 (atan2.f64 1 (*.f64 N N)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (.f64 N N))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (.f64 N N))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (.f64 N N)))) (cbrt.f64 (exp.f64 (atan2.f64 1 (.f64 N N)))))) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (.f64 N N))))))
(-.f64 (+.f64 1 (atan2.f64 1 (*.f64 N N))) 1)
(.f64 1 (atan2.f64 1 (.f64 N N)))
(.f64 (atan2.f64 1 (.f64 N N)) 1)
(.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N))) (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2)))
(.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (.f64 N N)) 2)) (cbrt.f64 (atan2.f64 1 (*.f64 N N))))
(.f64 (sqrt.f64 (atan2.f64 1 (.f64 N N))) (sqrt.f64 (atan2.f64 1 (*.f64 N N))))
(pow.f64 (atan2.f64 1 (*.f64 N N)) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (*.f64 N N))))
(exp.f64 (log.f64 (atan2.f64 1 (*.f64 N N))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (*.f64 N N))))

Outputs
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(+.f64 0 (atan2.f64 1 (*.f64 N N)))
(atan2.f64 1 (*.f64 N N))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (.f64 N N))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (.f64 N N))))))
(atan2.f64 1 (*.f64 N N))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (.f64 N N)))) (cbrt.f64 (exp.f64 (atan2.f64 1 (.f64 N N)))))) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (.f64 N N))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (.f64 N N)))))) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (.f64 N N))))))
(.f64 (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (.f64 N N))))) 3)
(-.f64 (+.f64 1 (atan2.f64 1 (*.f64 N N))) 1)
(atan2.f64 1 (*.f64 N N))
(.f64 1 (atan2.f64 1 (.f64 N N)))
(atan2.f64 1 (*.f64 N N))
(.f64 (atan2.f64 1 (.f64 N N)) 1)
(atan2.f64 1 (*.f64 N N))
(.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N))) (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2)))
(atan2.f64 1 (*.f64 N N))
(.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (.f64 N N)) 2)) (cbrt.f64 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))
(.f64 (sqrt.f64 (atan2.f64 1 (.f64 N N))) (sqrt.f64 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))
(pow.f64 (atan2.f64 1 (*.f64 N N)) 1)
(atan2.f64 1 (*.f64 N N))
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
(atan2.f64 1 (*.f64 N N))
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3) 1/3)
(atan2.f64 1 (*.f64 N N))
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
(atan2.f64 1 (*.f64 N N))
(sqrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2))
(atan2.f64 1 (*.f64 N N))
(log.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3))
(atan2.f64 1 (*.f64 N N))
(expm1.f64 (log1p.f64 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))
(exp.f64 (log.f64 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))
(log1p.f64 (expm1.f64 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))

localize24.0ms (0.4%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(atan2.f64 1 (+.f64 N 1))

Compiler

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	N	@	inf	(atan2.f64 1 (+.f64 N 1))
0.0ms	N	@	0	(atan2.f64 1 (+.f64 N 1))
0.0ms	N	@	-inf	(atan2.f64 1 (+.f64 N 1))

rewrite80.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`pow1`
1082×	`log1p-expm1-u`
1082×	`expm1-log1p-u`
1080×	`add-exp-log`
1060×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	122	13
2	1495	13

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

Inputs
(atan2.f64 1 (+.f64 N 1))

Outputs
(-.f64 (+.f64 1 (atan2.f64 1 (+.f64 1 N))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 1 N)))
(*.f64 (atan2.f64 1 (+.f64 1 N)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 N))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 N)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 N)) 2)) (cbrt.f64 (atan2.f64 1 (+.f64 1 N))))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 N))) (sqrt.f64 (atan2.f64 1 (+.f64 1 N))))
(pow.f64 (atan2.f64 1 (+.f64 1 N)) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 N))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 N))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 N)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 N))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 N))))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 N))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 N))))

simplify63.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

970×	`log-prod`
806×	`fma-neg`
670×	`exp-prod`
564×	`fma-def`
456×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	340
1	78	260
2	288	260
3	1634	260
4	3672	260
5	5355	260

Stop Event

1×	node limit

Counts

20 → 19

Calls

Call 1

Inputs
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(-.f64 (+.f64 1 (atan2.f64 1 (+.f64 1 N))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 1 N)))
(*.f64 (atan2.f64 1 (+.f64 1 N)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 N))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 N)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 N)) 2)) (cbrt.f64 (atan2.f64 1 (+.f64 1 N))))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 N))) (sqrt.f64 (atan2.f64 1 (+.f64 1 N))))
(pow.f64 (atan2.f64 1 (+.f64 1 N)) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 N))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 N))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 N)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 N))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 N))))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 N))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 N))))

Outputs
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(-.f64 (+.f64 1 (atan2.f64 1 (+.f64 1 N))) 1)
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(*.f64 1 (atan2.f64 1 (+.f64 1 N)))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(*.f64 (atan2.f64 1 (+.f64 1 N)) 1)
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 N))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 N)) 2)))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 N)) 2)) (cbrt.f64 (atan2.f64 1 (+.f64 1 N))))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 N))) (sqrt.f64 (atan2.f64 1 (+.f64 1 N))))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(pow.f64 (atan2.f64 1 (+.f64 1 N)) 1)
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 N))) 3)
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 N)) 3) 1/3)
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 N))) 2)
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 N)) 2))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 N))))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 N)) 3))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 N))))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 N))))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 N))))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))

localize68.0ms (1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 N (*.f64 N N))
✓	99.5%	(atan2.f64 1 (+.f64 N (*.f64 N N)))

Compiler

Compiled 19 to 7 computations (63.2% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	N	@	inf	(+.f64 N (*.f64 N N))
0.0ms	N	@	0	(+.f64 N (*.f64 N N))
0.0ms	N	@	0	(atan2.f64 1 (+.f64 N (*.f64 N N)))
0.0ms	N	@	-inf	(atan2.f64 1 (+.f64 N (*.f64 N N)))
0.0ms	N	@	inf	(atan2.f64 1 (+.f64 N (*.f64 N N)))

rewrite59.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1428×	`pow1`
1330×	`add-exp-log`
1326×	`log1p-expm1-u`
1326×	`expm1-log1p-u`
1306×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	32
1	144	24
2	1908	24

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(atan2.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (*.f64 N N))

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

simplify102.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1294×	`fma-neg`
1244×	`div-sub`
810×	`log-prod`
716×	`fma-def`
682×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	124	1118
1	270	1088
2	931	1088
3	4553	1088

Stop Event

1×	node limit

Counts

78 → 65

Calls

Call 1

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

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

eval106.0ms (1.6%)

Compiler: Compiled 2393 to 1484 computations (38% saved)

prune77.0ms (1.1%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	194	7	201
Fresh	0	2	2
Picked	1	0	1
Done	3	5	8
Total	198	14	212

Accurracy

99.5%

Counts

212 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(pow.f64 (*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/8) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/8)) 2)
	52.7%	(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
	98.9%	(pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)) 3)
	20.1%	(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (.f64 N N)) (-.f64 (.f64 N N) N)))
	20.1%	(atan2.f64 1 (/.f64 1 (/.f64 (-.f64 N (.f64 N N)) (-.f64 (.f64 N N) (pow.f64 N 4)))))
✓	99.5%	(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
✓	58.3%	(atan2.f64 1 (+.f64 N 1))
	92.3%	(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))))
✓	99.5%	(atan2.f64 1 (+.f64 1 (*.f64 (+.f64 N 1) N)))
	53.1%	(atan2.f64 1 (*.f64 (+.f64 1 N) N))
✓	52.8%	(atan2.f64 1 (*.f64 N N))
	13.0%	(atan2.f64 1 N)
✓	56.8%	(atan2.f64 1 1)
	40.0%	(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3))

Compiler

Compiled 152 to 111 computations (27% saved)

regimes49.0ms (0.7%)

Counts

22 → 1

Calls

Call 1

Inputs
(atan2.f64 1 1)
(atan2.f64 1 N)
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (+.f64 N 1))
(atan2.f64 1 (*.f64 (+.f64 1 N) N))
(atan2.f64 1 (+.f64 N (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (*.f64 (+.f64 N 1) N)))
(atan2.f64 (-.f64 (+.f64 N 1) N) (+.f64 1 (*.f64 (+.f64 N 1) N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (.f64 N N)) (-.f64 (.f64 N N) N)))
(atan2.f64 1 (/.f64 1 (/.f64 (-.f64 N (.f64 N N)) (-.f64 (.f64 N N) (pow.f64 N 4)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3))
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
(-.f64 (log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)) 3)
(pow.f64 (*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/8) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/8)) 2)

Outputs
(atan2.f64 1 (+.f64 1 (*.f64 (+.f64 N 1) N)))

Calls

2 calls:

32.0ms	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
11.0ms	N

Results

Accuracy	Segments	Branch
99.5%	1	`N`
99.5%	1	`(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))`

Compiler

Compiled 226 to 157 computations (30.5% saved)

regimes65.0ms (1%)

Counts

6 → 3

Calls

Call 1

Inputs
(atan2.f64 1 1)
(atan2.f64 1 N)
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (+.f64 N 1))
(atan2.f64 1 (*.f64 (+.f64 1 N) N))
(atan2.f64 1 (+.f64 N (*.f64 N N)))

Outputs
(atan2.f64 1 (*.f64 (+.f64 1 N) N))
(atan2.f64 1 (+.f64 N 1))
(atan2.f64 1 (*.f64 (+.f64 1 N) N))

Calls

1 calls:

64.0ms

Results

Accuracy	Segments	Branch
98.5%	3	`N`

Compiler

Compiled 33 to 22 computations (33.3% saved)

bsearch51.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.02585932168278018	225.53248131118738
32.0ms	-154058.51308760935	-0.0002221194704015382

Results

47.0ms

272×

body

256

valid

Compiler

Compiled 284 to 230 computations (19% saved)

regimes48.0ms (0.7%)

Counts

4 → 3

Calls

Call 1

Inputs
(atan2.f64 1 1)
(atan2.f64 1 N)
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (+.f64 N 1))

Outputs
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (+.f64 N 1))
(atan2.f64 1 (*.f64 N N))

Calls

1 calls:

47.0ms

Results

Accuracy	Segments	Branch
98.1%	3	`N`

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch44.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.02585932168278018	225.53248131118738
25.0ms	-154058.51308760935	-0.0002221194704015382

Results

38.0ms

272×

body

256

valid

Compiler

Compiled 250 to 196 computations (21.6% saved)

regimes10.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

Inputs
(atan2.f64 1 1)
(atan2.f64 1 N)
(atan2.f64 1 (*.f64 N N))

Outputs
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 1)
(atan2.f64 1 (*.f64 N N))

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
97.1%	3	`N`

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch59.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
40.0ms	0.02585932168278018	225.53248131118738
19.0ms	-154058.51308760935	-0.0002221194704015382

Results

34.0ms

272×

body

256

valid

Compiler

Compiled 216 to 179 computations (17.1% saved)

regimes4.0ms (0.1%)

Accuracy

Total -28.4b remaining (-102.7%)

Threshold costs -28.4b (-102.7%)

Counts

2 → 1

Calls

Call 1

Inputs
(atan2.f64 1 1)
(atan2.f64 1 N)

Outputs
(atan2.f64 1 1)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
56.8%	1	`N`

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`if-if-or-not`
4×	`+-commutative`
2×	`1-exp`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	185
1	46	185

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(atan2.f64 1 (+.f64 1 (*.f64 (+.f64 N 1) N)))
(if (<=.f64 N -1) (atan2.f64 1 (.f64 (+.f64 1 N) N)) (if (<=.f64 N 1) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (.f64 (+.f64 1 N) N))))
(if (<=.f64 N -5584463537939415/9007199254740992) (atan2.f64 1 (.f64 N N)) (if (<=.f64 N 3602879701896397/2251799813685248) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (.f64 N N))))
(if (<=.f64 N -1) (atan2.f64 1 (.f64 N N)) (if (<=.f64 N 1) (atan2.f64 1 1) (atan2.f64 1 (.f64 N N))))
(atan2.f64 1 1)

Outputs
(atan2.f64 1 (+.f64 1 (*.f64 (+.f64 N 1) N)))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(if (<=.f64 N -1) (atan2.f64 1 (.f64 (+.f64 1 N) N)) (if (<=.f64 N 1) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (.f64 (+.f64 1 N) N))))
(if (or (<=.f64 N -1) (not (<=.f64 N 1))) (atan2.f64 1 (*.f64 N (+.f64 1 N))) (atan2.f64 1 (+.f64 1 N)))
(if (<=.f64 N -5584463537939415/9007199254740992) (atan2.f64 1 (.f64 N N)) (if (<=.f64 N 3602879701896397/2251799813685248) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (.f64 N N))))
(if (or (<=.f64 N -5584463537939415/9007199254740992) (not (<=.f64 N 3602879701896397/2251799813685248))) (atan2.f64 1 (*.f64 N N)) (atan2.f64 1 (+.f64 1 N)))
(if (<=.f64 N -1) (atan2.f64 1 (.f64 N N)) (if (<=.f64 N 1) (atan2.f64 1 1) (atan2.f64 1 (.f64 N N))))
(if (or (<=.f64 N -1) (not (<=.f64 N 1))) (atan2.f64 1 (*.f64 N N)) (atan2.f64 1 1))
(atan2.f64 1 1)

Compiler

Compiled 74 to 58 computations (21.6% saved)

soundness804.0ms (11.9%)

Rules

1428×	`pow1`
1376×	`prod-diff`
1376×	`prod-diff`
1330×	`add-exp-log`
1326×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	194	32
2	2656	32
0	11	47
1	211	47
2	2725	47
0	9	32
1	194	32
2	2656	32
0	339	5661
1	789	5017
2	2727	4993
0	46	588
1	89	588
2	305	588
3	1676	588
4	3889	588
5	5687	588
0	120	1473
1	273	1355
2	1003	1355
3	4805	1355
0	120	1473
1	273	1355
2	1003	1355
3	4805	1355
0	7	32
1	144	24
2	1908	24

Stop Event

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

Compiler

Compiled 294 to 205 computations (30.3% saved)

end126.0ms (1.9%)

Compiler: Compiled 178 to 136 computations (23.6% saved)

Iter	Nodes	Cost
0	9	21
1	14	21
2	18	21
3	26	21
4	35	21
5	52	21
6	89	21
7	124	21
8	173	21
9	208	21
10	234	21
11	236	21
0	1	1

Iter	Nodes	Cost
0	9	21
1	14	21
2	18	21
3	26	21
4	35	21
5	52	21
6	89	21
7	124	21
8	173	21
9	208	21
10	234	21
11	236	21

Iter	Nodes	Cost
0	9	21
1	14	21
2	18	21
3	26	21
4	35	21
5	52	21
6	89	21
7	124	21
8	173	21
9	208	21
10	234	21
11	236	21
0	1	1

Iter	Nodes	Cost
0	9	21
1	14	21
2	18	21
3	26	21
4	35	21
5	52	21
6	89	21
7	124	21
8	173	21
9	208	21
10	234	21
11	236	21

Details

analyze0.0ms (0%)

sample1.8s (25.9%)

preprocess21.0ms (0.3%)

simplify23.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize70.0ms (1%)

series1.0ms (0%)

rewrite97.0ms (1.4%)

simplify97.0ms (1.4%)

eval93.0ms (1.4%)

prune23.0ms (0.3%)

localize172.0ms (2.5%)

series1.0ms (0%)

rewrite84.0ms (1.2%)

simplify82.0ms (1.2%)

localize34.0ms (0.5%)

series0.0ms (0%)

rewrite57.0ms (0.8%)

simplify62.0ms (0.9%)

eval172.0ms (2.5%)

prune33.0ms (0.5%)

localize43.0ms (0.6%)

series1.0ms (0%)

rewrite61.0ms (0.9%)

simplify70.0ms (1%)

localize75.0ms (1.1%)

series3.0ms (0%)

rewrite86.0ms (1.3%)

simplify88.0ms (1.3%)

localize66.0ms (1%)

series2.0ms (0%)

rewrite68.0ms (1%)

simplify124.0ms (1.8%)

localize97.0ms (1.4%)

series8.0ms (0.1%)

rewrite72.0ms (1.1%)

simplify75.0ms (1.1%)

localize75.0ms (1.1%)

series2.0ms (0%)

rewrite72.0ms (1.1%)

simplify104.0ms (1.5%)

eval364.0ms (5.4%)

prune132.0ms (2%)

localize41.0ms (0.6%)

series0.0ms (0%)

rewrite59.0ms (0.9%)

simplify67.0ms (1%)

localize23.0ms (0.3%)

localize26.0ms (0.4%)

series0.0ms (0%)

rewrite79.0ms (1.2%)

simplify52.0ms (0.8%)

localize24.0ms (0.4%)

series0.0ms (0%)

rewrite80.0ms (1.2%)

simplify63.0ms (0.9%)

localize68.0ms (1%)

series1.0ms (0%)

rewrite59.0ms (0.9%)

simplify102.0ms (1.5%)

eval106.0ms (1.6%)

prune77.0ms (1.1%)

regimes49.0ms (0.7%)

regimes65.0ms (1%)

bsearch51.0ms (0.8%)

regimes48.0ms (0.7%)

bsearch44.0ms (0.7%)

regimes10.0ms (0.1%)

bsearch59.0ms (0.9%)

regimes4.0ms (0.1%)

simplify8.0ms (0.1%)

soundness804.0ms (11.9%)

end126.0ms (1.9%)

Profiling

Iter	Nodes	Cost
0	9	21
1	14	21
2	18	21
3	26	21
4	35	21
5	52	21
6	89	21
7	124	21
8	173	21
9	208	21
10	234	21
11	236	21
0	1	1

Iter	Nodes	Cost
0	9	21
1	14	21
2	18	21
3	26	21
4	35	21
5	52	21
6	89	21
7	124	21
8	173	21
9	208	21
10	234	21
11	236	21